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MARKING SCHEME
CLASS XII
COMMERCE SUBJECTS
CENTRAL BOARD OF SECONDARY EDUCATION
DELHI
2015
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Published by Secretary, C.B.S.E. 'Shiksha Kendra', 2, Community Centre, Preet Vihar, Delhi - 110301.
Laser typesetting and Printed byAkashdeep Printers, Daryaganj, New Delhi - 110002
Manuscript as such highlights the main value points and does not represent a complete ideal answer.
Manuscript may vary from time to time and year to year.
Price : Rs. 570.00
November, 2015 : 250 Copies
CBSE, Delhi-110301
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PREFACE
CBSE as a pace setting national Board has constantly been striving to design its evaluation
process in a manner that it is used as a powerful means of influencing the quality of teaching and learning
in the classroom situation. Also, it has to be so designed that it provides constant feedback regarding
the effectiveness of the course content, classroom processes and the growth of individual learners
besides the appropriateness of evaluation procedures.
As a move in this direction, CBSE started the practice of publishing the Marking Schemes with
twin objectives in mind-(i) making the system more transparent and at the same time, (ii) ensuring high
degree of reliability in scoring procedure.
Who are the markers of answer scripts? How do they mark the answer scripts? How can it be
ensured that marking is fair, objective and reliable? Questions of these types naturally arise in the minds
of candidates appearing in the public examination. These questions are equally pertinent to the teachers
who are not adequately exposed to the CBSE system of marking.
Answer Scripts marking is a specialised job. It is assigned to teachers-PGTs for Class XII and
TGTs for Class X who are in direct touch with the subject and have a minimum of 3 years experience
of teaching the subject at that level. Appointment of examiners is made in accordance with the well-
defined norms. Markers examine scripts with the help of detailed guidelines called the 'Marking Schemes'.
It is this tool (Marking Scheme) alongwith the extensive supervisory checks and counter-checks
through which CBSE tries to ensure objective and fair marking. The present publication is being brought
out with a view to serving the following objectives :
(i) To give an opportunity to the teachers and students to look into the Marking Schemes that
were developed by the Board and supplied to the evaluators in 2014 main examination in
some selected main subjects.
(ii) To receive feedback and suggestions from institutions/subject teachers on the utility and
further improvement of Marking Schemes.
(iii) To encourage institutions to undertake similar exercise of developing marking schemes for
classes other than those covered by the Board's examination with a view to increasing
teachers' responsiveness to them as the essential tools of evaluation.
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HOW TO USE
Teachers and the students preparing for Class XII examination of the Board constitute the
primary interest-group of this publication. Marking Schemes of Question Papers in the subjects of
English Core, English Elective-C, Mathematics, Mathematics (for visually impaired), Economics, Business
Studies, Accountancy and Entrepreneurship administered in Delhi and Outside Delhi during the 2015
main examination have been included in this document. Some tips on their usage are given below :
(a) To Teachers :
--- Go through the syllabus and the weightage distribution for the subject carefully.
--- Read the question paper to find out how far the question paper set subscribes to the
prescribed design. Grade every question by difficulty level for students who have taken the
main Board examination.
--- Consult the 'Marking Scheme' for each question, with reference to steps into which answers
and awards have been divided.
--- Work out concrete suggestions for the Board.
(b) To Students :
--- Study each question carefully, comprehend them and write down the main points of the
answer and note down their difficulties for clarification.
--- Examine a question in conjunction with the Marking Scheme and find out the proximity of
the answer to that suggested in the Marking Scheme.
We urge the teachers to encourage their students to make use of this publication.
K.K. CHOUDHURY
CONTROLLER OF EXAMINATIONS
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(k) a parent or guardian to provide opportunities for education to his child or as the case may be ward
betweentheageofsixandfourteenyears.
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CONTENTS
Senior School Certificate Examination (XII)
Marking Scheme
Page No.
1. English Core .............................................................................................................. 1-66
2. English Elective - C .................................................................................................. 67-95
3. Mathematics ............................................................................................................. 96-246
4. Mathematics (for visually impaired) ........................................................................... 247-270
5. Economics ................................................................................................................. 271-301
6. Business Studies ........................................................................................................ 302-349
7. Accountancy .............................................................................................................. 350-424
8. Entrepreneurship ........................................................................................................ 425-465
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LIST OF COORDINATORS/SUBJECT EXPERTS/REPRESENTATIVES
OF THE REGIONS FOR UPDATION/FINALISATION OF THE
MARKING SCHEME FOR THE SENIOR SCHOOLCERTIFICATE
EXAMINATION, 2015
S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
7. Mrs.MahalakshmiIyengar
Prakash Hr. Sec. School,
Ahmedabad
8. Ms. Vandana Kapoor
Principal
DAVPublicSchool
MausamVihar
Delhi-110092
9. Mrs. Bella Bhateja,
PGT
G. D. Goenka Pub. School
VasantKunj,
NewDelhi
10. Ms. Ipsita Das
Principal
DAVPublicSchool
sec.-6, Market Nagar,Abhinav
Bindanasi,Cuttack
Orisha - 753014
11. Ms.MaliniKhatri
Modern School
Barakhamba Road
NewDelhi
12. Mrs. Neena Kaul
St. Mary's School
SafdarjungEnclave
New Delhi - 110016
ENGLISH CORE
1. Dr. Usha Ram
Principal
LaxmanPublicSchool
Hauz Khas,
New Delhi-110016
2. Dr. Opkar Singh
Retd. Prof.
121, Sahyog Appartments
Mayur Vihar Phase-I
Delhi-110091
3. Mrs.SukumariMenon
Principal
Bhavan'sAdarshVidyalaya
Kochi
Kerala - 682037
4. Mrs. Prabha Dastidar
Principal
ArmySchool,Narangi
PO - Satgaon,
Guwahati - 781027
5. Shri Dev Nagar
GodwinPublicSchool
Rohta Road
Meerut
6. Mrs. I.P. Bhatia
Principal
Sarla Chopra D.A.V. Public School
Sec. 56, Noida
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S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
MATHEMATICS
1. Mrs.AnitaSharma
Principal
S.D. Public School
BUBlock,Pitampura,
Delhi-110034
2. Dr. V. P. Gupta
Professor
43, Kala ViharAppartments,
Mayur Vihar, Phase-1
Delhi
3. ShriG.D.Dhall
K-171, LIC Colony
SyedNangloiVillage
Delhi
4. Shri S.N. Chibber
Principal(Retd.)
B-330, Saraswati Vihar
Delhi
ENGLISH ELECTIVE-C
1. Dr. Usha Ram
Principal
LaxmanPublicSchool
Hauz Khas,
New Delhi-110016
2. Shri P. J. Peter
LaxmanPublicSchool
Hauz Khas,
New Delhi-110016
3. Mrs. Neena Kaul
St.Mary’s School
B-2Block,SafdarjungEnclave
New Delhi-110029
4. Sh. S.R. Vij
48, SahyogAppartment
Mayur Vihar, Phase-1
NewDelhi
5. Ms.MaliniKhatri
Modern School
Barakhamba Road
NewDelhi
6. Mrs.ShailjaJaiswal
DelhiPublicSchool
Site No. 3, Meerut Road,
Ghaziabad - UP-201003
7. Sh. D.D. Batra
New Way School
Sector-K,Ali Ganj
Lucknow(U.P.)
8. Ms.VinoditaSankhyan
Principal,
ShriRamAshramPublicSchool,
Majitha Road,
Amritsar
13. ShriD.N.Tiwari
PGT
LaxmanPublicSchool
Hauz Khas,
New Delhi - 110016
14. ShriNavinSharma
LaxmanPublicSchool
Hauz Khas,
New Delhi - 110016
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S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
12. Ms. C.M. Sreekumari
Principal,
KendriyaVidyalaya
Kadavanthra (PO),
Ernakulam,Cochin
13. Dr. P.P. Vermani
HOD
Modern School
Barakhamba Road,
NewDelhi
14. Sh.Ajay Marwaha
PGT
S.D. Public School
BUBlockPitampura,
Delhi
15. ShriJ.P.Singh
PGT (Maths) Retd.
KendriyaVidyalaya,AGCRColony
Delhi
16. Sh. Radhay Shyam Pandey
Principal
KrishnaPublicSchool,
Sunder Nagar
Tehsil-Bhilai
Chhatisgarh
17. Dr.AshokSingh
Principal
ChinmayaVidyalaya
Sec.-IV, Bokaro Steel City
Bokaro, Jharkhand
5. Shri J. C. Nijhawan
C-51, Maharana Pratap Enclave,
Delhi-110034
6. ShriRajpalSingh
PGT
RajkiyaPratibhaVikasVidyalaya,
GandhiNagar,
New Delhi-110051
7. ShriV.VijayaKumar
Principal
BHELVikram Hr. Sec. School,
BHEL,Piplani
Bhopal-462021
8. Sh.ShamsherSingh
PGT
Govt. Model Sr. Sec.
School, Sector-16,
Chandigarh.
9. Shri Seshanooj Sarkar
Principal
KendriyaVidyalaya,
Jagiroad,Dist.Morigaon
Assam-782413
10. ShriC.Sathyamurthy
Principal
ChinmayaVidyalaya
9-B, Taylore Road
Kilpauk,Chennai.
11. Sh. Ved Kumar Mishra
Principal
Dr.A.L.MemorialSunbeamSchool
Rhania,Varanasi
(U.P.) - 221104
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S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
ECONOMICS
1. Mrs. Sushma Khurana
Principal
LilawatiVidyaMandir,
Shakti Nagar,
Delhi - 110 007
2. Shri S.K.Aggarwala
Deptt.of Economics
RajdhaniCollege,
Delhi
3. Shri S.N. Sharma
BC.-54,
ShalimarBagh(West)
Delhi
4. Ms. Neeta Mishra
DAVPublicSchool
SreshthaVihar,
Delhi
5. Mrs. Rekha Sharma
Principal(Retd.)
D-3/14, II Floor,
VasantVihar,
New Delhi-110057
6. Mrs. NeeluAhuja,
PG.T
LilawatiVidyaMandir
Shakti Nagar
Delhi
7. Smt.Anureskha Barkakoti
Principal
DelhiPublicSchool
NRLTownshipNumaligarhdist.
Golaghat,Assam-785699
8. LelineS.Theophilus,
PGT
Kendriya Vidyalaya, CRPF,
Avadi,Chennai,
Tamilnadu - 600065
9. Mr. Sanjeev Kumar
VicePrincipal
SBVBrahmpuri,
Delhi
10. Mrs. Reema Dewan
Principal
DelhiPublicSchool,
Sector - 40
Chandigarh
11. Dr.ManoranjaniV
Principal
BharatiyaVidyaBhavansVidya
Mandir,Trissur,
Kerala
12. Dr. K.K. Pandey
Principal
KendriyaVidyalayaAMC
Luchnow,U.P.
13. Ms.A.Suganthavali
Principal
Ch. Chhabil Dass Public School,
B-Block, Patel Nagar-II
Ghaziabad, U.P.-201001
14. Ms. Papiya Mukherjee
Principal
DAVModel School
JM Sengupta Road
DurgapurBarddhaman
West Bengal - 713205
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S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
15. Mr.Ajay Kumar
PGT
RajkiyaPratibhaVikas
Vidyalaya,
D-1 Nandnagri
Delhi-110093
BUSINESS STUDIES
1. Mrs. Meena Goel
Principal,
Nava Hind Girls Senior Sec. School
New Rohtak Road
New Delhi-110005
2. Shri S.S. Sehrawat
73-B Chandlor Bhawan,
Mahipalpur
New Delhi - 110007
3. Mrs.VinitaDutt
PGT
Govt. Girls Sr. Sec. School
Adarsh Nagar
Delhi
4. Ms. Baneet Kaur
PGT
SalwanPublicSchool,
RajinderNagar,
New Delhi-110055
5. Mrs. Jaya Khurana
Sr. Head Mistress
Modern School,
Barakhamba Road,
NewDelhi
6. Mrs. Usha Sharma
Principal
S.R.N.InternationalSchool
NRI Road, Ramnagaria
Jagatpura, Jaipur - 302015
7. Shri Ram Chand Jagota
PGT,
Govt. Model Sr. Sec. School
Sector 40,
Chandigarh
8. Ms. N. Malathy
PGT
BVBhavan'sRajajiVidyashram
6 Kilpauk Garden, Chennai
Tamilnadu - 600010
9. Dr. Ganga Prasad Pandey
Principal
DelhiPublicSchool,
RefineryNagar
Mathura, U.P.
10. Mrs.MiniSuresh
PGT
SBOA Public Sr. Sec. School,
SouthChittoor,Emakulam
Kerala-682027
11. Mrs. Savita Kakkar
Principal
ArmySchool,
DaulatSingMargJhansi
Cantt. Jhansi UP - 284001
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12. Mrs.IndiraAchari
Principal
BSP Sr. Sec. School,
Sec. VII, Bhilal Nagar,
Distt.Durg,Chhattisgarh-490006
13. Mr.SavitaDrall
Asstt. Director of School (Exam.)
Dte.ofEducation
Old Sectt.
Delhi-110054
14. Mrs. Poonam Khanna
Principal
SarvodayaKanyaVidyalaya
Adarsh Nagar
Delhi-110033
15. Mrs. PreetiArya
PGT
Nava Hind Girls Sr. Sec. School
New Rohtak Road,
New Delhi-110005
16. Mrs. Inder Jeet Kaur
Nava Hind Girls Sr. Sec. School,
New Rohtak Road
NewDelhi
ACCOUNTANCY
1. Ms.RenuJain
Principal
St. Margaret Public School
D-Block, PrashantVihar,
Delhi-110085
S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
2. Shri S.S. Sehrawat
RetiredDeputyCommissioner
KendriyaVidyalayaSangathan
73-B,ChanlorBhawanMahipalpur,
New Delhi - 110037
3. Mrs.Meena Goel
Principal
Nava Hind Girls Sr.Sec.School
New Rohtak Road,
NewDelhi
4. Mrs.VinitaDutt
PGT(Commerce)
Govt. Girls Senior Sec. School
A-Block, Saraswati Vihar
Delhi - 110034
5. ShriA.K. Kalra
Principal,
KendriyaVidyalaya,
Sector-3,Rohini
Delhi-110089
6. ShriA.K. Gautam,
Principal,
KendriyaVidyalaya,
C-2 Block, Janakpuri,
New Delhi-110058
7. Dr. K. Mohana
Principal
Modern Sr. Sec. School
AGSofficecolony,
Nanganallur,
Chennai-600061
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S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
8. Ms.MiniBhasin
PGT
Govt. Girls Modern Sr. Sec. School
Sector-18,
Chandigarh
9. Sh. Jacob T.P.
PGT
BharatiyaVidyaBhavans,
VidyaMandir,Trissur,
Kerala
10. Dr.RanjeetSingh
PGT
S. J. Public School,
JantaColony
Jaipur - 302004
11. Sh.ManishChattopadhayay
Principal
North Point Sr. Sec. Boarding School
GorakshabasiMandirComplex,
Arjunpur,Kolkata
West Bengal - 700059
12. Ms. Geetika Joshi
PGT
MPVM, 2, Stanley Road,
Teliarganj,Allahabad
U.P. - 211004
13. Sh. K. Krishna Rao
Pricipal
DelhiPublicSchool
OilIndiaLtdP.O.Duliajan
Dist.Diburagarh,
Assam - 786602
14. ShriArvindBhatia,
Principal
BalBhartiPublicSchool,
BrijVihar, PO Chander Nagar,
Ghaziabad,
Uttar Pradesh-201011
15. Ms. Jaya Khurana
HOD (Commere) & Headmistress
Modern School, Barakhamba
Delhi
16. Ms.SavitaShangari
HOD (Commerce),
GyanBhartiPublicSchool
Saket
Delhi
17. Ms.AnitaKohli,
PGT (Commerce),
St. Margaret Sr. Sec. School,
D-Block, PrashantVihar,
Delhi-110085
18. Mr.Vinod Kumar
Lecturer(Commerce),
Govt. Boys Sr. Sec. School,
Mata Sundri Road
New Delhi-110002
19. Mr. Sanjeev Kumar
VicePrincipal
Govt. Co-Ed Sr. Sec. School,
PreetVihar,
Delhi-110092
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ENTREPRENEURSHIP
1. Mrs. Sadhana Dutta,
PGT,
G.D. Goenka Public School
VassntKunj,
NewDelhi
2. Ms.SandaniniArvind
SanskritiSchool
Chanakyapuri
NewDelhi
3. Ms. Disha Grower
DelhiPublicSchool
Mathura Road
NewDelhi
S.No. Name of the Coordinator/Subject
Experts
S.No. Name of the Coordinator/Subject
Experts
4. Sh. S.S. Sehrawat
73 B Chandlor Bhawan
Mahipalpur,
NewDelhi
5. Ms. Ranjeet Kaur Bakshi
PGT
Mira Model School
B - Block, Janakpuri
NewDelhi
6. Dr. Piyush Prasad
Director(Academic)
NIOS A-24-25
Sector 62, Noida
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ENGLISH (Core)
Time allowed : 3 hours Maximum marks : 100
General Instructions:
(i) This paper is divided into three Sections: A, B and C. All the sections are
compulsory.
(ii) Separate instructions are given with each section and question, wherever
necessary. Read these instructions very carefully and follow them faithfully.
(iii) Do not exceed the prescribed word limit while answering the questions.
QUESTION PAPER CODE 1/1/1
SECTION A : READING 20 Marks
1. Readthepassagegivenbelowcarefully: 12
1. Forfourdays,Iwalkedthroughthenarrowlanesoftheoldcity,enjoyingthe
romanceofbeinginacitywherehistorystilllives-initscobblestonestreets
andinitspeopleridingasses,carryingvineleavesandpalmastheyoncedid
duringthetimeofChrist.
2. ThisisJerusalem,hometothesacredsitesofChristianity,IslamandJudaism.
This is the place that houses the church of the Holy Sepulchre, the place
whereJesuswasfinallylaidtorest.ThisisalsothesiteofChrist'scrucifixion,
burialandresurrection.
3. Built by the Roman Emperor Constantine at the site of an earlier temple to
Aphrodite,itisthemostveneratedChristianshrineintheworld.Andjustifiably
so. Here, within the church, are the last five stations of the cross, the 10th
stationwhereJesuswasstrippedofhisclothes,the11thwherehewasnailed
to the cross, the 12th where he died on the cross, the 13th where the body
was removed from the cross, and the 14th, his tomb.
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4. Forallthisweightytradition,theapproachandentrancetothechurchisnon-
descript.Youhavetoaskfordirections.EventothedevoutChristianpilgrims
walking along the Via Dolorosa - the Way of Sorrows - first nine stations
lookclueless.Thenacourtyardappears,hemmedinbyotherbuildingsanda
doorway to one side. This leads to a vast area of huge stone architecture.
5. Immediatelyinsidetheentranceisyourfirststop.It'sthestoneofanointing:
this is the place, according to Greek tradition, where Christ was removed
from the cross. The Roman Catholics, however, believe it to be the spot
where Jesus' body was prepared for burial by Joseph.
6. What happened next ? Jesus was buried. He was taken to a place outside
the city of Jerusalem where other graves existed and there, he was buried in
a cave. However, all that is long gone, destroyed by continued attacks and
rebuilding;whatremainsisthemassive-andimpressive-Rotunda(around
buildingwithadome)thatEmperorConstantinebuilt.Underthis,andrightin
the centre of the Rotunda, is the structure that contains the Holy Sepulchre.
7. "How do you know that this is Jesus' tomb ?" I asked one of the pilgrims
standing next to me. He was clueless, more interested, like the rest of
them, in the novelty of it all and in photographing it, than in its history or
tradition.
8. Atthestartofthefirstcentury,theplacewasadisusedquarryoutsidethecity
walls.Accordingtothegospels,Jesus’crucifixionoccurred‘ataplaceoutside
thecitywallswithgravesnearby......’Archaeologistshavediscoveredtombs
from that era, so the site is compatible with the biblical period.
9. Thestructureatthesiteisamarbletombbuiltovertheoriginalburialchamber.
It has two rooms, and you enter four at a time into the first of these, the
Chapel of the Angel. Here the angel is supposed to have sat on a stone to
recountChrist'sresurrection.Alowdoormadeofwhitemarble,partlyworn
awaybypilgrims'hands,leadstoasmallerchamberinside.Thisisthe'room
of the tomb', the place where Jesus was buried.
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10. We entered in single file. On my right was a large marble slab that covered
theoriginalrockbenchonwhichthebodyofJesuswaslaid.Awomanknelt
and prayed. Her eyes were wet with tears. She pressed her face against the
slab to hide them, but it only made it worse.
Onthebasisofyourunderstandingofthispassageanswerthefollowingquestionswith
thehelpofgivenoptions: (1 x 4 = 4)
(a) How does Jerusalem still retain the charm of ancient era?
(i) There are narrow lanes.
(ii) Roads are paved with cobblestones.
(iii) People can be seen riding asses
(iv) All of the above
(b) Holy Sepulchre is sacred to _________ .
(i) Christianity
(ii) Islam
(iii) Judaism
(iv) Both(i)and(iii)
(c) Why does one have to constantly ask for directions to the church ?
(i) Its lanes are narrow.
(ii) Entrance to the church is non-descript.
(iii) People are not tourist- friendly.
(iv) Everyoneislostinenjoyingtheromanceoftheplace.
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(d) Where was Jesus buried?
(i) In a cave
(ii) At a place outside the city
(iii) IntheHolySepulchre
(iv) Both(i)and(ii)
Answerthefollowingquestionsbriefly: (1 x 6 = 6)
(e) What is the Greek belief about the 'stone of anointing' ?
(f) WhydidEmperorConstantinebuildtheRotunda?
(g) Whatisthegeneralattitudeofthepilgrims?
(h) How is the site compatible with the biblical period ?
(i) Why did the pilgrims enter the room of the tomb in a single me ?
(j) Why did 'a woman' try to hide her tears?
(k) Find words from the passage which mean the same as : (1 x 2 = 2)
(i) A large grave (para 3)
(ii) Havingnointerestingfeatures/dull(para4)
2. Read the passage given below : 10
1. We often make all things around us the way we want them. Even during our
pilgrimages we have begun to look for whatever makes our heart happy,
givescomforttoourbodyandpeacetothemind.Itisasifexternalsolutions
will fulfil our needs, and we do not want to make any special efforts even in
our spiritual search. Our mind is resourceful - it works to find shortcuts in
simple and easy ways.
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2. Even pilgrimages have been converted into tourism opportunities. Instead,
we must awaken our conscience and souls and understand the truth. Let us
not tamper with either our own nature or that of the Supreme.
3. All our cleverness is rendered ineffective when nature does a dance of
destruction.Itsfurycanandwillwashawayallimperfections.Indianculture,
based on Vedic treatises, assists in human evolution, but we are now using
ourentireenergyindistortingthesetraditionsaccordingtoourconvenience
insteadofmakingeffortstomakeourselvesworthyofthem.
4. The irony is that humans are not even aware of the complacent attitude they
have allowed themselves to sink to. Nature is everyone's Amma and her
fierce blows will sooner or later comer us and force us to understand this
truth.Earlier,pilgrimagestoplacesofspiritualsignificancewereritualsthat
were undertaken when people became free from their worldly duties. Even
nowsomeseekerstakeupthispiousreligiousjourneyasapathtopeaceand
knowledge.Anyonetravellingwiththisattitudefeelsandtravelswithonlya
few essential items that his body can carry. Pilgrims traditionally travelled
light,onfoot,eatinglight,driedchickpeasandfruits,orwhateverwasavailable.
Pilgrims of olden days did not feel the need to stay in specialAC bedrooms,
ortravelbyluxurycarsorindulgethemselveswithdeliciousfoodandsavouries.
5. Pilgrimstraditionallymovedahead,creatingafeelingofbelongingtowards
all,conveyingamessageofbrotherhoodamongalltheycameacrosswhether
insmallcaves,ashramsorlocalsettlements.Theyreceivedtheblessingsand
congregationsofyogisandmahatmasinreturnwhileconductingthedharma
oftheirpilgrimage.Apilgrimageislikepenanceorsadhanatostaynearnature
and to experience a feeling of oneness with it, to keep the body healthy and
fulfilled with the amount of food, while seeking freedom from attachments
andyetremaininghappywhilestayingawayfromrelativesandassociates.
6. This is how a pilgrimage should be rather than making it like a picnic by
taking a large group along and living in comfort, packing in entertainment,
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6
and tampering with environment. What is worse is giving a boost to the ego
of having had a special darshan. Now alms are distributed, charity done
whiletheybragabouttheirspiritualexperiences!
7. Wemustembarkonourspiritualjourneybyfirstunderstandingthegraceand
significanceofapilgrimageandfollowingitupwiththeprescribedrulesand
rituals-thisiswhattranslatesintotheultimateandbeautifulmediumofspiritual
evolution.Thereisnojustificationfortamperingwithnature.
8. A pilgrimage is symbolic of contemplation and meditation and acceptance,
and is a metaphor for the constant growth or movement and love for nature
that we should hold in our hearts.
9. Thisisthetruth!
On the basisofyourunderstandingoftheabovepassageanswerthequestionsthatfollow
withthehelpofgivenoptions: (1 x 2 = 2)
(a) How can a pilgrim keep his body healthy?
(i) Bytravellinglight
(ii) Byeatingasmallamountoffood
(iii) Bykeepingfreefromattachments
(iv) Both(i)and(ii)
(b) How do we satisfy our ego ?
(i) Byhavingaspecialdarshan
(ii) Bydistributingalms
(iii) Bytreatingitlikeapicnic
(iv) Both(i)and(ii)
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7
Answerthefollowingasbrieflyaspossible: (1 x 6 = 6)
(c) What change has taken place in our attitude towards pilgrimages?
(d) Whathappenswhenpilgrimagesareturnedintopicnics?
(e) Why are we complacent in our spiritual efforts ?
(f) How does nature respond when we try to be clever with it ?
(g) In olden days with what attitude did people go on a pilgrimage?
(h) What message does the passage convey to the pilgrims?
(i) Findwordsfromthepassagewhichmeanthesameasthefollowing:
(i) made / turned (para 3)
(ii) very satisfied (para 4)
3. Read the passage given below: 8
It is surprising that sometimes we don't listen to what people say to us. We hear
them, but we don't listen to them. I was curious to know how hearing is different
fromlistening.Ihadthoughtbothweresynonyms,butgradually,Irealisedthereis
a big difference between the two words.
Hearingisaphysicalphenomenon.Wheneversomebodyspeaks,thesoundwaves
generated reach you, and you definitely hear whatever is said to you. However,
even if you hear something, it doesn't always mean that you actually understand
whateverisbeingsaid.Payingattentiontowhateveryouhearmeansyouarereally
listening. Consciously using your mind to understand whatever is being said is
listening.
Divingdeeper,Ifoundthatlisteningisnotonlyhearingwithattention,butismuch
morethanthat.Listeningishearingwithfullattention,andapplyingourmind.Most
of the time, we listen to someone, but our minds are full of needless chatter and
there doesn't seem to be enough space to accommodate what is being spoken.
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8
We come with a lot of prejudices and preconceived notions about the speaker or
the subject on which he is talking. We pretend to listen to the speaker, but deep
inside,wesitinjudgementandaredyingtopronouncerightorwrong,trueorfalse,
yesorno.Sometimes,weevencomepreparedwithanegativemindsetofproving
the speaker wrong. Even if the speaker says nothing harmful, we are ready to
pounceonhimwithourownversionofthings.
What we should ideally do is listen first with full awareness. Once, we have done
that, we can decide whether we want to make a judgement or not. Once we do
that,communicationwillbeperfectandourinterpersonalrelationshipwillbecome
somuchbetter.Listeningwelldoesn'tmeanonehastosaytherightthingattheright
moment.Infact,sometimesifwordsareleftunspoken,thereisafeelingoftension
andnegativity.Therefore,itisbettertospeakoutyourmind,butdosowithawareness
afterlisteningtothespeakerwithfullconcentration.
Let'slookatthisinanotherway.Whenyoureallylisten,youimbibenotonlywhat
is being spoken, but you also understand what is not spoken as well. Most of the
time we don't really listen even to people who really matter to us. That's· how
misunderstandingsgrowamongfamilies,husbandsandwives,brothersandsisters.
(A) On the basis of your reading of the above passage make notes on it, using
headings and sub-headings. Use recognizable abbreviations (wherever
necessary-minimumfour)andaformatyouconsidersuitable.Alsosupply
an appropriate title to it. (5)
(B) Write a summary of the passage in about 80 words. (3)
SECTION -B 30 Marks
ADVANCED WRITINGSKILLS
4. Every year in the central park of the city a flower show is held in the month of
February.Your school has received a circular from the District Collector inviting
your students to visit it. Write a notice in about 50 words informing the students
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9
abouttheshowandadvisingthemtogoandenjoyit.YouareNavtej/Navita,Head
Boy/HeadGirlSunrisePublicSchool,Surat. 4
OR
SarvodayaEducationSociety,acharitableorganisationiscomingtoyourschoolto
distributebooksamongtheneedystudents.AsHeadBoy/HeadGirl,SunrisePublic
School, Surat, write a notice in about 50 words asking such students to drop the
lists of books they need in the box kept outside the Principal's office. You are
Navtej/Navita.
5. Recently you went to your native village to visit your grandparents.You saw that
some of the children in the age group 5 - 14 (the age at which they should have
beenatschool)remainedathome,wereworkinginthefieldsorsimplyloiteringin
the streets.
Writealetterin120-150wordstotheeditorofanationaldailyanalyzingtheproblem
and offering solutions to it.You are Navtej/Navita, M-114 Mount Kailash, Kanpur. 6
OR
When cricket teams go abroad the members are allowed to take their wives, even
friendsalongwiththem.Doesthisfactdistractthemorhelpthemtofocusontheir
game in a better way? If it is good, why don't we allow our athletes to enjoy the
sameprivilege?
Writealettertoeditorofanationaldailyin120·150wordsgivingyourviewsonthe
issue.You are Navtej/Navita, M-114 Mount Kailash, Kanpur.
6. Mobilephoneoftodayisnolongerameremeansofcommunication.Musiclovers
are so glued to it that they don't pay attention even to the traffic while crossing the
roads. This leads to accidents sometimes even fatal ones.
Writeaspeechin150-200wordstobedeliveredinthemorningassemblyadvising
thestudents to be careful in the use of this otherwise very useful gadget. Imagine
youarePrincipalofyourschool. 10
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10
OR
Power shortage has become a norm even in the metropolitan cities. One way to
facethissituationisbypreventingthewastageofpower.
Write a speech in 150-200 words on the importance of power in our daily life and
how to save power at school and at home. Imagine that you are the Principal of
yourschool.
7. In the year to come (if you have not already done this year) you are going to
celebrate your 18th birthday. Write an article in 150-200 words on the joys and
responsibilitiesofbeingeighteen.YouareNavtej/Navita. 10
OR
Write an article in 150-200 words on how we can make India a carefree and
enjoyable place for women when they can go wherever they like to without any
fear of being stared at, molested or discriminated against.You are Navtej/Navita.
SECTION - C 40 Marks
LITERATURE: TEXT BOOKSAND LONG READINGTEXT
8. Read the extract given below and answer the questions that follow : 4
I saw my mother,
beside me,
doze, open mouthed, her face
ashenlikethat
of a corpse and realized with
pain
that she was as old as she
looked but soon
put that thought away, ....
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11
(a) What worried the poet when she looked at her mother? (1)
(b) Whywastherepaininherrealization? (1)
(c) Why did she put that thought away? (1)
(d) Identifythefigureofspeechusedintheselines. (1)
OR
Far from gusty waves these children's faces.
Like rootless weeds, the hair torn round their pallor;
Thetallgirlwithherweighed-downhead.
(a) Who are these children? (1)
(b) What does the poet mean by 'gusty waves' ? (1)
(c) What has possibly weighed-down the tall girl's head ? (1)
(d) Identifythefigureofspeechusedintheselines. (1)
9. Answer any four of the following in 30 - 40 words each : 3 x 4 = 12
(a) Whooccupiedthebackbenchesintheclassroomonthedayofthelastlesson?
Why?
(b) WhydidDouglas'motherrecommendthatheshouldlearnswimmingatthe
YMCAswimmingpool?
(c) Whatwillcountinguptotwelveandkeepingstillhelpusachieve?
(d) What does a thing of beauty do for us ?
(e) Which do you think is a better ending of Roger Skunk's story, Jo's or her
father's? Why ?
(f) What could the Governor have done to securely bring Evans back to the
prison from the 'Golden Lion' ?
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12
10. Answer the following in 120 - 150 words:
Givingabribeisanevilpractice.HowdidtheTigerKingbribetheBritishofficerto
save his kingdom? How do you view this act of his ? 6
OR
Dr. Sadao was a patriotic Japanese as well as a dedicated surgeon. How could he
honour both the values ?
11. Answerthefollowingin 120-150words:
DescribethedifficultiesthebanglemakersofFirozabadhavetofaceintheirlives. 6
OR
The peddler declined the invitation of the ironmaster but accepted the one from
Edla.Why?
12. Answerthefollowingin 120-150words:
DescribetheironicalsituationinwhichSilasMarnerhadtoleaveLanternYard. 6
OR
WithinafewdaysofhisarrivalinIping,peoplebecamesuspiciousofGriffin.Why?
13. Answerthefollowingin 120-150words:
Describe Dolly Winthrop as the most lovable character in George Eliot's 'Silas
Marner'. 6
OR
Attempt a character sketch of Marvel.
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13
QUESTION PAPER CODE 1/1
SECTION A : READING 20 Marks
1. Readthepassagecarefully. 12
1 Forfourdays,Iwalkedthroughthenarrowlanesoftheoldcity,enjoyingthe
romanceofbeinginacitywherehistorystilllives-initscobblestonestreets
andinitspeopleridingasses,carryingvineleavesandpalmastheyoncedid
duringthetimeofChrist.
2 ThisisJerusalem,hometothesacredsitesofChristianity,IslamandJudaism.
This is the place that houses the church of the Holy Sepulchre, the place
whereJesuswasfinallylaidtorest.ThisisalsothesiteofChrist'scrucifixion,
burialandresurrection.
3 Built by the Roman Emperor Constantine at the site of an earlier temple to
Aphrodite,itisthemostveneratedChristianshrineintheworld.Andjustifiably
so. Here, within the church, are the last five stations of the cross, the 10th
stationwhereJesuswasstrippedofhisclothes,the11thwherehewasnailed
to the cross, the 12th where he died on the cross, the 13th where the body
was removed from the cross, and the 14th, his tomb.
4 For all this weighty tradition, the approach and entrance to the church is
nondescript. You have to ask for directions. Even to the devout Christian
pilgrims walking along the Via Dolorosa - the Way of Sorrows - first nine
stationslookclueless.Thenacourtyardappears,hemmedinbyotherbuildings
andadoorwaytooneside.Thisleadstoavastareaofhugestonearchitecture.
5 Immediatelyinsidetheentranceisyourfirststop.It'sthestoneofanointing:
this is the place, according to Greek tradition, where Christ was removed
from the cross. The Roman Catholics, however, believe it to be the spot
where Jesus' body was prepared for burial by Joseph.
6 What happened next? Jesus was buried. He was taken to a place outside the
city of Jerusalem where other graves existed and there, he was buried in a
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14
cave. However, all that is long gone, destroyed by continued attacks and
rebuilding;whatremainsisthemassive-andimpressive-Rotunda(around
buildingwithadome)thatEmperorConstantinebuilt.Underthis,andrightin
the centre of the Rotunda, is the structure that contains the Holy Sepulchre.
7 "How do you know that this is Jesus' tomb ?" I asked one of the pilgrims
standing next to me. He was clueless, more interested, like the rest of them,
inthenoveltyofitallandinphotographingit,thaninitshistoryortradition.
8 Atthestartofthefirstcentury,theplacewasadisusedquarryoutsidethecity
walls.Accordingtothegospels,Jesus'crucifixionoccurred'ataplaceoutside
thecitywallswithgravesnearby........'.Archaeologistshavediscoveredtombs
from that era, so the site is compatible with the biblical period.
9 Thestructureatthesiteisamarbletombbuiltovertheoriginalburialchamber.
It has two rooms, and you enter four at a time into the first of these, the
Chapel of the Angel. Here the angel is supposed to have sat on a stone to
recountChrist'sresurrection.Alowdoormadeofwhitemarble,partlyworn
awaybypilgrims'hands,leadstoasmallerchamberinside.Thisisthe'room
of the tomb', the place where Jesus was buried.
10 Weenteredinasinglefile.Onmyrightwasalargemarbleslabthatcovered
theoriginalrockbenchonwhichthebodyofJesuswaslaid.Awomanknelt
and prayed. Her eyes were wet with tears. She pressed her face against the
slab to hide them, but it only made it worse.
Onthebasisofyourunderstandingofthispassageanswerthefollowingquestions
withthehelpofthegivenoptions: l x 4 = 4
(a) How does Jerusalem still retain the charm of the ancient era?
(i) There are narrow lanes.
(ii) Roads are paved with cobblestones.
(iii) People can be seen riding asses.
(iv) All of the above
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15
(b) Holy Sepulchre is sacred to
(i) Christianity
(ii) Islam
(iii) Judaism
(iv) Both(i)and(iii)
(c) Why does one have to constantly ask for directions to the church?
(i) Its lanes are narrow.
(ii) Entrance to the church is nondescript.
(iii) Peoplearenottourist-friendly.
(iv) Everyoneislostinenjoyingtheromanceoftheplace.
(d) Where was Jesus buried?
(i) In a cave
(ii) At a place outside the city
(iii) IntheHolySepulchre
(iv) Both(i)and(ii)
Answerthefollowingquestionsbriefly: l x 6 = 6
(e) What is the Greek belief about the 'stone of anointing'?
(f) WhydidEmperorConstantinebuildtheRotunda?
(g) Whatisthegeneralattitudeofthepilgrims?
(h) Howisthesitecompatiblewiththebiblicalperiod?
(i) Whydidthepilgrimsenterthe'roomofthetomb'inasinglefile?
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16
(j) Why did 'a woman' try to hide her tears?
(k) Find words from the passage which mean the same as:
(i) A large grave (para 3)
(ii) Havingnointerestingfeatures/dull(para4)
2. Readthepassagecarefully. 10
1 We often make all things around us the way we want them. Even during our
pilgrimages we have begun to look for whatever makes our heart happy,
givescomforttoourbodyandpeacetothemind.Itisasifexternalsolutions
will fulfil our needs, and we do not want to make any special efforts even in
our spiritual search. Our mind is resourceful - it works to find shortcuts in
simple and easy ways.
2 Even pilgrimages have been converted into tourism opportunities. Instead,
we must awaken our conscience and souls and understand the truth. Let us
not tamper with either our own nature or that of the Supreme.
3 All our cleverness is rendered ineffective when nature does a dance of
destruction.Itsfurycanandwillwashawayallimperfections.Indianculture,
based on Vedic treatises, assists in human evolution, but we are now using
ourentireenergyindistortingthesetraditionsaccordingtoourconvenience
insteadofmakingeffortstomakeourselvesworthyofthem.
4 The irony is that humans are not even aware of the complacent attitude they
have allowed themselves to sink to. Nature is everyone's Amma and her
fierce blows will sooner or later corner us and force us to understand this
truth.Earlier,pilgrimagestoplacesofspiritualsignificancewereritualsthat
were undertaken when people became free from their worldly duties. Even
nowsomeseekerstakeupthispiousreligiousjourneyasapathtopeaceand
knowledge.Anyonetravellingwiththisattitudefeelsandtravelswithonlya
few essential items that his body can carry. Pilgrims traditionally travelled
light,onfoot,eatinglight,driedchickpeasandfruits,orwhateverwasavailable.
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17
Pilgrims of olden days did not feel the need to stay in specialAC bedrooms,
or travel by luxury cars or indulge themselves with delicious food and
savouries.
5 Pilgrimstraditionallymovedahead,creatingafeelingofbelongingtowards
all,conveyingamessageofbrotherhoodamongalltheycarneacrosswhether
insmallcaves,ashramsorlocalsettlements.Theyreceivedtheblessingsand
congregationsofyogisandmahatmasinreturnwhileconductingthedharma
oftheirpilgrimage.Apilgrimageislikepenanceorsadhanatostaynearnature
and to experience a feeling of oneness with it, to keep the body healthy and
fulfilled with the amount of food, while seeking freedom from attachments
andyetremaininghappywhilestayingawayfromrelativesandassociates.
6 This is how a pilgrimage should be rather than making it like a picnic by
taking a large group along and living in comfort, packing in entertainment,
and tampering with environment. What is worse is giving a boost to the ego
of having had a special darshan. Now alms are distributed, charity done
whiletheybragabouttheirspiritualexperiences!
7 Wemustembarkonourspiritualjourneybyfirstunderstandingthegraceand
significanceofapilgrimageandfollowingitupwiththeprescribedrulesand
rituals-thisiswhattranslatesintotheultimateandbeautifulmediumofspiritual
evolution.Thereisnojustificationfortamperingwithnature.
8 A pilgrimage is symbolic of contemplation and meditation and acceptance,
and is a metaphor for the constant growth or movement and love for nature
that we should hold in our hearts.
9 Thisisthetruth!
On the basis of your understanding of the above passage answer the questions that
followwiththehelpofthegivenoptions: 1 x 2 = 2
(a) How can a pilgrim keep his body healthy?
(i) Bytravellinglight
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18
(ii) Byeatingasmallamountoffood
(iii) Bykeepingfreefromattachments
(iv) Both(i)and(ii)
(b) How do we satisfy our ego?
(i) Byhavingaspecialdarshan
(ii) Bydistributingalms
(iii) Bytreatingitlikeapicnic
(iv) Both(i)and(ii)
Answerthefollowingasbrieflyaspossible: 1 x 6 = 6
(c) What change has taken place in our attitude towards pilgrimages?
(d) Whathappenswhenpilgrimagesareturnedintopicnics?
(e) Whyarewecomplacentinourspiritualefforts?
(f) How does nature respond when we try to be clever with it ?
(g) In olden days with what attitude did people go on a pilgrimage?
(h) What message does the passage convey to the pilgrims?
(i) Findwordsfromthepassagewhichmeanthesameasthefollowing: 1 x 2 = 2
(i) made/turned (para 3)
(ii) very satisfied (para 4)
3. Read the passage given below : 8
It is surprising that sometimes we don't listen to what people say to us. We
hearthem,butwedon'tlistentothem.Iwascurioustoknowhowhearingisdifferent
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19
fromlistening.Ihadthoughtbothweresynonyms,butgradually,Irealisedthereis
a big difference between the two words.
Hearingisaphysicalphenomenon.Wheneversomebodyspeaks,thesound
waves generated reach you, and you definitely hear whatever is said to you.
However, even if you hear something, it doesn't always mean that you actually
understand whatever is being said. Paying attention to whatever you hear means
you are really listening. Consciously using your mind to understand whatever is
beingsaidislistening.
Divingdeeper,Ifoundthatlisteningisnotonlyhearingwithattention,butis
muchmorethanthat.Listeningishearingwithfullattention,andapplyingourmind.
Most of the time, we listen to someone, but our minds are full of needless chatter
and there doesn't seem to be enough space to accommodate what is being spoken.
Wecomewithalotofprejudicesandpreconceivednotionsaboutthespeaker
or the subject on which he is talking. We pretend to listen to the speaker, but deep
inside,wesitinjudgementandaredyingtopronouncerightorwrong,trueorfalse,
yesorno.Sometimes,weevencomepreparedwithanegativemindsetofproving
the speaker wrong. Even if the speaker says nothing harmful, we are ready to
pounceonhimwithourownversionofthings.
What we should ideally do is listen first with full awareness. Once we have
done that, we can decide whether we want to make a judgement or not. Once we
dothat,communicationwillbeperfectandourinterpersonalrelationshipwillbecome
somuchbetter.Listeningwelldoesn'tmeanonehastosaytherightthingattheright
moment.Infact,sometimesifwordsareleftunspoken,thereisafeelingoftension
andnegativity.Therefore,itisbettertospeakoutyourmind,butdosowithawareness
afterlisteningtothespeakerwithfullconcentration.
Let'slookatthisinanotherway.Whenyoureallylisten,youimbibenotonly
what is being spoken, but you also understand what is not spoken as well. Most of
the time we don't really listen even to people who really matter to us. That's how
misunderstandingsgrowamongfamilies,husbandsandwives,brothersandsisters.
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20
(a) On the basis of your reading of the above passage make notes on it, using
headings and sub-headings. Use recognizable abbreviations (wherever
necessary-minimumfour)andaformatyouconsidersuitable.Alsosupply
an appropriate title to it. 5
(b) Write a summary of the passage in about 80 words. 3
SECTION B - (Writing Skills) 30
4. Your school,Akash Public School,Agra needs a canteen manager. On behalf of
the Principal, write an advertisement in about 50 words to be published in the
classified columns of a local daily. Mention the educational and professional
qualifications,otherqualitiesrequiredinthemanager,whotoapplytoandthelast
date for the receipt of applications. 4
OR
Your club is going to organise an interclass singing competition. Write a notice in
about50wordsinvitingnamesofthestudentswhowanttoparticipateinit.Giveall
thenecessarydetails.YouareNavtej/Navita,Secretary,MusicClub,AkashPublic
School,Agra.
5. YouareNavtej/Navita,Secretary,EnvironmentClub,AkashPublicSchool,Agra.
You,alongwithagroupofstudents,wentona3-daytourthroughCorbettNational
Park.Youfoundhowthetouristsabusetheavailablefacilitiesandthusendangerthe
environment. Write a letter in 120 - 150 words to the editor of a national daily
highlightingthesituation.SuggestwaysthroughwhichtheenvironmentofthePark
can be saved. 6
OR
On Teacher's Day, you read in a newspaper that privately owned and managed
schools in small towns or even in the suburbs of metropolitan cities exploit their
teachersbypayingthemjustafractionoftheirauthorisedsalaries.Thisaffectstheir
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21
performance in the classroom and thus the lives of their students. Write a letter in
120 - 150 words to the editor of a national daily raising your voice against such
exploitation. Suggest ways to solve this problem.You are Navtej/Navita, 112Taj
Road,Agra.
6. The government has banned the use of animals in the laboratories for the purpose
of dissection. Write a debate in 150 - 200 words either for or against this decision. 10
OR
Somepeoplefeelthatelectronicmedia(TVnews)willbringabouttheendofprint
media (newspapers). What are your views on the issue? Write a debate in 150 -
200 words either for or against this view.
* useofvisualsonTV
* authenticandfast
* not enough news for 24-hour telecast
* mayfabricatenews
* becomerepetitiveanddull
* even scandals become news
* print media - time tested
* analysed,verifiednews
* editorialcomments
* cater to all interests
7. Ragginghasraiseditsuglyheadagain.Arecentincidentataprestigiousschoolhas
shown that this evil has not yet come to an end.Write an article in 150 - 200 words
on'Ragging,anEvil'.YouareNavtej/Navita. 10
* a practice from the British era
* originalaim,respectforhierarchy
* enforcingtraditions,discipline
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22
* Prefect - a teacher substitute
* misuseofauthority
* vulgaraspect
* fatalities
* solution
OR
India is a tourist's dream destination. Give your views on the tourism potential of
India in an article in 150 - 200 words.You are Navtej/Navita.
* placesofworship-religioustourism
* foreigners-placesofhistoricalinterest
* therich-hillstationsduringsummers
- the sun-kissed beaches in winters
-leisuretourism
* medicaltourism-worldclasshospitals
SECTION C - (Literature, Text Books and Long Reading Text) 40
8. Read the extract given below and answer the questions that follow :
and
looked out at young
treessprinting,themerrychildrenspilling
out of their homes, but after the airport's
security check, standing a few yards
away, I looked again at her, wan,
pale
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23
as a late winter's moon and felt that
old
familiar ache, ... ... ...
(a) How can the trees sprint? 1
(b) Why did the poet look at her mother again? 1
(c) What did she observe? 1
(d) Identifythefigureofspeechusedintheselines. 1
OR
Ontheirslagheap,thesechildren
Wear skins peeped through by bones and spectacles of steel
With mended glass, like bottle bits on stones.
(a) Who are these children? 1
(b) What is their slag heap ? 1
(c) Whyaretheirbonespeepingthroughtheirskins? 1
(d) What does 'with mended glass' mean ? 1
9. Answer any four of the following in 30 - 40 words each : 3 x 4 = 12
(a) What did garbage mean to the children of Seemapuri and to their parents?
(b) How did Rajkumar Shukla establish that he was resolute?
(c) 'Life is what it is all about; .... ' How is keeping quiet related to life?
(d) Mention any four things of beauty that add joy to our life.
(e) Themannerofhis(theTigerKing's)deathisamatterofextraordinaryinterest.
Comment.
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(f) In what condition did Dr. Sadao find theAmerican soldier at the seashore?
10. Answer the following question in 120 - 150 words: 6
Even today so many among us believe in superstitions.An astrologer predicted
about 'the Tiger King' that he would be killed by a tiger. He 'killed' one hundred
tigersyetwashimself'killed'byatiger.Howdidthesuperstitiousbelief'prevail'?
OR
Dr. Sadao faced a dilemma. Should he use his surgical skills to save the life of a
woundedpersonorhandanescapedAmericanP.O.W.overtotheJapanesepolice?
How did he resolve this clash of values ?
11. Answer the following question in 120 - 150 words: 6
Everybodyduringthelastlessonisfilledwithregret.Comment.(TheLastLesson)
OR
Sophielivesinaworldfullofdreamswhichshedoesnotknowshecannotrealise.
Comment.
12. Answer the following question in 120 - 150 words : 6
DescribehowSilasMarnerisbetrayedbyhisfriend,WilliamDane.
OR
Why and how did Griffin rob the Vicar's house?
13. Answer the following question in 120 - 150 words :
'Evilbegetsevil.'Inthelightofthisremark,describethecharacterofDunstanCass.
OR
Attempt a character sketch of Mrs. Hall.
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25
Marking Scheme — English Core
General Instructions :
1. Evaluation is to be done as per instructions provided in the Marking Scheme only.
2. The Marking Scheme provides suggested value points and not the complete answers.
3. Ifaquestionhasparts,marksmustbeawardedontherighthandsideforeachpart.Marks
awardedtodifferentpartsofaquestionshouldthenbetotalledup,writtenandencircledin
the left hand margin of the answers concerned.
4. If a question does not have any parts, marks for that question must be awarded in the left-
handmarginoftheanswer.
5. WheremarksareallottedseparatelyforcontentandexpressionaspertheMarkingScheme,
they have to be reflected separately and then totalled up.This is mandatory.
6. A slash (/) in the Marking Scheme indicates alternative answers(s) to a question. If a
studentwritesananswerwhichisnotgivenintheMarkingSchemebutwhichseemstobe
equallyacceptable,marksmustbeawardedinconsultationwiththeHead-Examiner.
7. If a child has attempted an extra question, the answer deserving more marks should be
retained and the other answer be scored out.
8. Q1 and Q2 under SectionA(Reading) and Q8 under Section C (Text Books) have been
designedtoteststudents’abilitytocomprehendthegivenpassage.Assuchtheexaminees
need not to be unnecessarily penalised for their language errors.
9. Where questions have been designed to test the writing skills of students, the expression
(grammatical accuracy, appropriate use of words, style, spelling, organization and
presentationofrelevantmatterinacoherentandlogicalway)assumesasmuchimportance
as the content.
10. Identifymajormistakesandshortcomingsbeforeawardingmarks.
11. Wherever the word limit is given, no marks be deducted for exceeding it. However, due
credit should be given for precise answers.
12. If a student, in response to a short-answer-type question, writes a single word / phrase
answer which constitutes the core of the answer, it must be accepted and awarded marks.
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26
13. Ifastudentliterallyliftsaportionofthegivenpassage/extractfromthequestionpaperas
an answer to a question, no mark(s) to be deducted on this count as long as it is relevant
andindicativeofthedesiredunderstandingonthepartofthestudent[referencequestions
under Q1, Q2 and Q8].
14. Thequestionnos.12and13,basedonthenovels"TheInvisibleMan"and"SilasMarner"
are being asked for the first time. It is suggested that the examiners be considerate while
awardingmarks.
15. A full scale of marks - 0 to 100 - is to be used while awarding marks. In case of an answer
book deserving 90 marks and above, marks be awarded only in consultation with the
HeadExaminer.
16. As per orders of the Hon'ble Supreme Court, a candidate would now be permitted to
obtain photocopy of the answer book on request on payment of the prescribed fee.All
examiners/headexaminersareonceagainremindedthattheymustensurethatevaluationis
carried out strictly as per value points for each answer as given in the Marking Scheme.
[FOR THE HEAD EXAMINERS ONLY]
1. AnswerscriptsmustbegiventotheevaluatorsforevaluationonlyafterthegivenMarking
Schemehasbeenthoroughlydiscussedwiththemcollectivelyorindividually.Noexceptions,
please.
2. TheHeadExaminerisrequiredtogothroughthefirstfiveevaluatedanswerscriptsofeach
examiner scrupulously to ensure that the evaluator concerned has evaluated the answer
scripts as per the instructions provided in the Marking Scheme.
3. TheHeadExaminerisexpectedtoexaminetheanswercontainingthevaluepointsthathas
notbeenprovidedintheMarkingSchemebuttheevaluatorfindsitequallycorrectforthe
purposeofawardingmarksandgivehis/herdecisionwhichwillbebindingontheevaluator.
4. ItistheboundendutyofeachandeveryHeadExaminertodotherandomcheckingalong
with the answer books which deserve 90 marks and above, as reported by individual
evaluators.Thefinaldecisioninthisregard,however,willrestwiththeHeadExamineronly.
5. The following marks(s) range answer scripts must be included in 10% For H.E.'S
88AndAbove
72-74
28-32
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27
QUESTION PAPER CODE 1/1/1
EXPECTEDANSWERS/VALUE POINTS
SECTIONA: (READING) 20 Marks
1 COMPREHENSION PASSAGE
NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling,
orwordlimit.Fullmarksmaybeawardedifastudenthasbeenabletoidentifythe
core ideas. If a student literally lifts a portion of the given passage as an answer to
a question, no mark(s) to be deducted for this as long as it is relevant.
(a) (iv) 1 mark
(b) (i) 1 mark
(c) (ii) 1 mark
(d) anyoneofthefour options 1 mark
(e) that this is the place where Christ was removed from the cross 1 mark
(f) - to venerate the place of burial 1 mark
- to protect the Holy Sepulchre
- toshowhisofficialrecognitionandrespectforChristianity
- theoriginalburialsitedestroyedbycontinuousattacksandrebuilding
(anyone)
(g) - not interested in the history or tradition of the place 1 mark
- interestedinthenoveltyoftheplaceandinphotographingit
- cluelessaboutdirectionsandlocationsofimportantsites
(anyone)
(h) - Archaeologistshavediscoveredtombsfromthatera.Thisiscompatible 1 mark
withThebiblicalperiodwhichsaysthatJesus'crucifixionoccurredat
theplaceoutsidethecitywallswithgravesnearby
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28
(i) - a low door leads to a narrow, smaller chamber inside 1 mark
- a large marble slab covers the original rock bench on which the body
of Jesus was laid, this makes the chamber very narrow
- people enter in a single file to pray at the tomb
(anyone)
(j) - feltembarrassed 1 mark
- didn't want to be seen crying by others
- Like a true Christian she felt overwhelmed as Jesus was buried there,
whileothersseemedunconcerned.
(anyone)
(k) i) tomb 1 mark
ii) non-descript 1 mark
2 COMPREHENSION PASSAGE
NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling,
or word limit. Full marks may be awarded if a student has been able to identity the
core ideas. If a student literally lifts a portion of the given passage as an answer to
a question, no mark(s) to be deducted for this as long as it is relevant.
(a) (iv) anyoneofthefouroptions 1 mark
(b) (iv) anyoneofthefouroptions 1 mark
(c) - we look for whatever makes our heart happy, gives comfort to our 1 mark
body and peace to the mind / modern amenities, luxuries and comforts
- wethinkthatexternalsolutionswillfulfilourneeds
- we do not want to make any special effort even in our spiritual search
- pilgrimageshavebecometourismopportunities/picnics
(anyone)
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29
(d) - we tamper with our own nature and with that of the Supreme 1 mark
- weseekcomfort,luxuryandindulgence
- we become complacent
- we travel with a large group consisting of our relatives, friends and
associates
- insteadofspiritualupliftment,ouregosgetaboost
- wefailtounderstandthegraceandsignificanceofapilgrimage
- wedon'taimatspiritualupliftment
(anyone)
(e) - we often make all things around us the way we want them 1 mark
- wethinkthatexternalsolutionswillfulfilourneedsthereforewedonot
makeanyspecialeffortseveninourspiritualsearch
- our mind is resourceful - it works to find shortcuts in simple and easy
ways
- we have distorted traditions according to our conveniences
(anyone)
(f) - we have to face the fierce blows / harsh treatment from nature 1 mark
- itsfurycanwashawayallimperfections
- clevernessrenderedineffective
(anyone)
(g) - created a feeling of belonging towards all / conveyed a message of 1 mark
brotherhood
- conductedthedharmaoftheirpilgrimage
- took it as a penance or sadhana to stay near nature and to experience
afeelingofonenesswithit
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30
- keptthebodyhealthyandfulfilledwithfrugalmeals
- sought freedom from attachments and yet remain happy away from
relativesandassociates
- sawitasamediumofspiritualevolution
- didnottrytopamperthemselveswithluxuriesandmaterialcomforts
- took it as a path to peace and knowledge
(anyone)
(h) - apilgrimageissymbolicofcontemplation,meditationandacceptance 1 mark
- a metaphor for the constant growth or movement and love for nature
that we should hold in our hearts
- nottotreatapilgrimagelikeapicnic
- toobserveausterityinordertoexperiencespiritualupliftment
- pilgrimage must be treated as a path to peace and knowledge
- tounderstandthegraceandsignificanceofapilgrimage
- topromotebrotherhoodthroughapilgrimage
(anyone)
(i) i) rendered 1 mark
ii) complacent 1 mark
3 Note
If a student has attempted only summary or only notes, due credit
should be given.
I mark allotted for the title be given, even if a student has written the
title either in Q3(A) or Q3(B)
Content must be divided into headings and sub-headings
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31
Thenotesprovidedbelowareonlyguidelines.Anyothertitle,mainpointsandsub-
pointsmaybeacceptediftheyareindicativeofthecandidate'sunderstandingofthe
givenpassage,andthenotesincludethemainpoints,withsuitableandrecognizable
abbreviations.
Complete sentences are not to be accepted as notes.
Numbering of points may be indicated in different ways, as long as a consistent
patternisfollowed.
(A) NOTE MAKlNG
DistributionofMarks
Abbreviations / Symbols (with /without key) - any four 1 mark
Title 1 mark
Content(minimum3headingsandsub-headings,withproperindentation 3 marks
and notes)
Suggested Notes
NOTE:
Accept the notes and summary in the third person.
Also accept them written in the first person provided the format is
correct and content is covered properly.
Title: ArtofListening/Hearingvs.Listening/anyotherrelevanttitle
1 Differenceb/wHearing&Listening
1.1 hearingdiff.fromlistening
1.2 hearing-phy
1.2.1 soundwaves
1.2.2 maynotunderstand
1.3 listening-fullattention
1.3.1 applyingmind
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32
2 BarrierstoListening/Obstacles
2.1 prejudices!preconceivednotions
2.2 pretendtolisten
2.3 sitinjudgement
2.4 -ivemind-set
3 BenefitsofListening/Benefits/Advantages
3.1 fullawareness&conc.
3.2 suspendjudgement
3.3 speakyourmind
4 ImportanceofListening
4.1 perfectcommunication
4.2 improveinterpersonalrelationships
4.3 notension/negativity
4.4 understand unspoken words
4.5 reducemisunderstanding
(B) Summary
Thesummaryshouldincludealltheimportantpointsgiveninthenotes.
Content 2 marks
Expression 1 mark
SECTION B: ADVANCED WRITING SKILLS
NOTE: The objective of the section on Advanced Writing Skills is to test a
candidate's writing ability. Hence, expression assumes as much importance as the
content of the answer.
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33
4 NOTICE
Format 1 mark
The format should include: NAME OF THE INSTITUTION (ISSUING
AUTHORITY) / NOTICE / TITLE, DATE, and WRITER'S NAME WITH
DESIGNATION. The candidate should not be penalized if he has used capital
lettersforwritinganoticewithinorwithoutabox.
Content 2 marks
Expression 1 mark
Suggested value points
[FLOWER SHOW]
- what - flower show
- when - February
- where - central park of the city
- for whom - students and teachers
- advisingthemtogoandenjoyit
- anyotherrelevantdetails
OR
Suggested value points
[BOOKS FOR NEEDY STUDENTS]
- what - books for needy students
- by whom - Sarvodaya Education Society / a charitable organisation
- when - day, date
- how - drop the lists of books they need in the box outside the Principal's office
- lastdate(optional)
- anyotherrelevantdetails
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34
5 LETTERWRITING
[Note: - No marks are to be awarded if only the format is given. Credit should be
givenforthecandidate'screativityinpresentationof ideas.Useofboththetraditional
and the new format is permitted.]
Format 1 mark
1.sender'saddress,2.date,3.receiver'saddress,4.subject/heading,5.salutation,
6.complimentaryclose.
Content 3 marks
Expression 2 marks
grammaticalaccuracy,appropriatewordsandspelling [1]
coherence and relevance of ideas and style [1]
(ILLITERATECHILDREN)
Suggested value points
theproblem:
- some village children in the age group 5-14 remain at home, work in the
fieldsorloiterinthestreets
- do not receive formal education at school
why:
- disinterested,indifferentattitudeofchildren,parentsandelders
- no incentive to learn / made to work in the fields
- nomotivation
- noskilllearningatschool
solution:
- parentsandguardianstotakeinitiative
- schoolPrincipalandteacherstomotivateandenrolstudentsofschoolgoing
agegroup
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35
- emphasisonskilldevelopment
- provide free meals, books and uniforms
(anyotherrelevantdetails)
OR
(FAMILYOR FRIEND ON FOREIGN TRIPS)
Suggested Value Points
theissue:Shouldthecricketteamsbeallowedtotaketheirwives/friendsabroad?
yes:
- gives emotional support / keeps them free from worries
- helps them to concentrate on their game
- don'tfeelhomesick
- keeps them destressed
no:
- acts as a distraction
- lose focus and don't give their best
- becomesafamilyoutingratherthanasportingmission
(anyotherrelevantpoints)
Yes or no incase of athletes also
6 SPEECH
Format(openingaddressandconclusion) 1mark
Content 4 marks
Expression 5 marks
grammaticalaccuracy,appropriatewordsandspelling [2½ ]
coherence and relevance of ideas and style [2½1
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36
Suggested Value Points
(MOBILE PHONES)
Advantages:
- multipurposeinstrument-phone,radio,musicplayer,camera,internet,social
sites, TV channels etc.
hazards:
- accidents happen due to carelessness especially on roads and rail tracks -
some are fatal
- exposure to radiation causes cancer and other complications
advice:
- usesparinglyandjudiciously,withoutriskingselforothers
(anyotherrelevantdetails)
OR
Suggested Value Points
(IMPORT ANCE OF POWER)
theissue:
- wastage of power at schooland homes due to carelessness and indifference
importance:
- life conveniences, comforts, essentials, equipment, appliances and gadgets
all depend on electric power
how to save power
- bevigilant,switchofffans,lights,geysers, motor pumps, ACs, TV, radio
whennotinuse
- appointpowermonitorsinclass
- publicrecognitionofstudentswhotakeinitiativeinthisregard
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37
- tell parents, friends, neighbours and relatives about the problem and seek
theircooperation
(any 3 points)
(anyotherrelevantdetails)
7 ARTICLEWRITING
Format(headingandwriter'sname) 1 mark
Content 4 marks
Expression 5 marks
grammaticalaccuracy,appropriatewordsandspelling [2½]
coherence and relevance of ideas and style [2½]
Suggested value points:
(JOYSAND RESPONSIBILITIES OF BEING EIGHTEEN / any other suitable
heading)
joys:
- finallyacceptanceasanadult
- votingrights,gettingadrivinglicence
- unlimitedfreedom
- enjoyingyouthfuldays
- dreams,challenges,opportunities
(min3points)
responsibilities:
- career
- maturebehaviourexpected
- childishnessdiscouraged
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38
- greateraccountability
- shoulderingthefamilyandhouseholdresponsibilities
(min3points)
(anyotherrelevantdetails)
OR
Suggested value points:
(WOMEN SAFETY IN INDIA/ any other suitable heading)
presentsituation:
- frightening,nosafetyforwomen
- recent cases of crime against women (stared at, molested, discriminated
against)
- casesofdiscriminationatworkplace,home,society
solutions:
- effectiveimplementationoflawsprotectingwomenrights
- strict laws as a deterrence to crime
- creatingsocialawareness,boycottofthosewhoindulgeinanycrimeagainst
women
- self-defencetechniquestobetaughttogirlsandwomeninschools,colleges,
officesandresidentialcolonies
- bettersurveillancebylawenforcingauthorities
(any 4 points)
SECTION C: LITERATURE (TEXT BOOKSAND LONG
READINGTEXT)
NOTE: The objective of the section on Literature is to test a candidate's ability to
understand and interpret the prescribed text through short and long answer type
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39
questions. Hence both content and expression in answers to the given questions
deserveequalimportancewhileawardingmarks.
8 [Thisquestionhasbeendesignedtotestthestudents'understandingofthetextand
their ability to interpret, evaluate and respond to the questions based on the given
extract. In other words, it attempts to test their reading comprehension ONLY.]
Value points:
(a) - fear of separation 1 mark
- childhoodfear
- thatthemotherwasgettingveryold
- that her face looked ashen like that of a corpse
- fear that she would be alone when the mother died
- itmightbetheirlastmeeting
(b) - couldn'treconcileherselftothethoughtoflosinghermother 1 mark
- she would be left alone / separation from the mother
- there were obvious signs that the mother would pass away very soon
- she was deeply attached to her mother / had the childhood fear of
losinghermother
(c) - unpleasantthought/ very painful thought of separation / wasfeeling 1 mark
uneasy and disturbed / was going away from the mother and so didn't
wanttocarrythethoughtwithher/painfulatthethoughtofseparation
(d) simile(likethatofa corpse) 1 mark
OR
(a) - children of the slum / children of elementary school classroomina 1 mark
slum/poorchildren/deprivedchildren
(b) - themainstreamsociety/betterlivingconditions/vitality/energy/all 1 mark
that the children have been deprived of / happiness / progress
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40
(c) - shame / embarrassment / harsh realities of the world of the slums 1 mark
inferioritycomplex/problems/depression/malnourished/poverty
(d) - simile(like rootless weeds) / repetition (far, far) / metaphor (gusty 1 mark
waves)/alliteration(far,far,from)
9 Short answer type questions
Distributionofmarks:
Content: 2 marks
Expression 1 mark
(deduct½amarkfortwoormoregrammatical/spellingmistakes)
Value points:
(a) who: 3 marks
thevillagepeople(oldHauser,theformermayor,theformerpostmasterand
severalothers)/thevillagers
why:
- to pay respect to the teacher for his faithful service / also to show
respectforthecountrythatwastheirsnomore/biddingfarewelltothe
teacherandlanguage/feelingofregretfornothavinglearntthelanguage
(b) - It was safe. 3 marks
- It was only 2-3 feet deep at the shallow end and nine feet deep at the
other end.
- The drop was gradual.
- The Yakima river was treacherous. / Many drownings had already
happened there.
(any2)
(c) - time for introspection / create anexotic moment of togetherness / save 3 marks
theworldfromdisastersandwars/giveusanopportunitytounderstand
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41
each other and save ourselves from death / time to express oneness
withnature/inharmonywithnature
(any2)
(d) - becomes a joy forever / provides eternal joy / uplifts one's mood / never 3 marks
fades away
- itslovelinesskeepsonincreasing
- provides a pleasant and quiet place (a bower quiet for us)
- a sleep full of sweet dreams and health and quiet breathing
- makes life worth living in spite of despondence, inhuman dearth of
noble natures, gloomy days, unhealthy and over darkened ways
- it removes the pall from our dark spirits
(any2)
(e) - (Open ended question - either of the two endings should be accepted) 3 marks
Jo's - wanted a happy ending to the story / wanted the skunk to smell
likerosessothathecouldplaywiththeotheranimals/uglinesshasno
place in a child's world / peer acceptance is very important for them /
child'spointofview/freedomofchoice
Jack - wanted the skunk to have its original smell / didn't want the
wizard to hit the mother / aimed at teaching an important lesson that
parents are the best judge / adult perspective / acceptance of oneself
(f) - the governor could have brought the police force with him fromthe 3 marks
prisonitself
- hecouldhavetravelledinthevanhimselfwithEvanstotakehimtothe
prison
- shouldhavecheckedthecredentialsoftheofficialsescortinghimtothe
prison
(any 2)
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Q10&11[Thesequestionshavebeensettotestthestudents'understandingofthe
text and their ability to interpret, evaluate and respond to the issues raised therein.
Hence no particular answer can be accepted as the only correct answer. All
presentations may be accepted as equally correct provided they have been duly
supported by the facts drawn from the text. The important thing is that the student
shouldbeabletojustifyhisorherviewpoint.]
10 Distributionofmarks:
Content 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½] .
coherence and relevance of ideas and style [1½]
Value points:
EvilsofBribery
- Tiger King's desire to prove the astrologers wrong
- vowedtokillonehundredtigerstoensurehislongevity
- huntingoftigersprohibitedinhiskingdom
- TheBritishofficerwasalsonotallowedtohunt.
- throne at stake
- offerofdiamondringstotheofficial'swife
- cost him 3 lacs but saved his crown
(any 3 points)
student's response to this situation with logical reasoning
OR
Dr Sadao - a patriotic Japanese
- marriedaJapanesewithhisfather'spermission
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43
- lovedhiscountry
- savedthelifeoftheGeneralbyoperatingonhim
- informed the General about the American sailor: how he had saved him,
requested the General to do whatever was necessary in the matter
- agreedtothearrangementofgettingtheAmericansailorkilledbyprofessional
assassins sent by the General
- informed the General about theAmerican's escape
(any 3 points)
a dedicated surgeon
- treatedtheenemysoldier,savedhislife
- faceddifficultiesathomefromhiswifeandservants
- endangeredhisownlifeandthatofhisfamily
- savedthelifeoftheGeneralbyoperatingonhim
- did not let national prejudice override his duties as a doctor
(any 3 points)
11 Distributionofmarks:
Content: 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½]
coherence and relevance of ideas and style [1½]
Value Points:
DifficultiesfacedbythebanglemakersofFirozabad
- longhoursofworkneartheglassfurnaceswithhightemperatures
- toliveindingyroomswithoutairandlight
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- health problems - lose eyesight at a young age
- remainuneducated
- housesarehovelswithcrumblingwalls,wobblydoors,nowindows,crowded
withfamiliesofhumansandanimalscoexistinginaprimevalstate
- extremepovertyinspiteofmindnumbingtoil(hardwork)
- vicious cycle of exploitation by middlemen, money lenders, police and
bureaucrats
- no leader to raise their problems
- faceapathyandinjusticealltheirlives
- cannotevenorganisethemselvesintoacooperativeastheyfearthatitmight
betreatedasbeingillegal
- burdened by the stigma of the caste in which they are born
- noinitiativeordaringleftintheirlives
(anyotherrelevantpoint)
(any3)
OR
The Ironmaster invited the peddler as a former comrade or colleague. / did not
insistmuch
Peddler afraid to go to the manor house as he had stolen money from the crofter
Edla:
- morepersuasive
- firmyetpolite
- sympathisedwithhimforthehardtimehewasfacing
- assuredhimthathewasfreetoleavewheneverhedesiredaftertheChristmas
celebration was over
- wonhisconfidencewithherpolite,compassionateandsympatheticattitude
(any3)
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Q12 & Q 13 - Long Reading Text - Silas Marner / The Invisible Man
[NOTE: Accept any answer that correlates with the novel and seems
relevant]
12 Distributionofmarks:
Content: 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½ ]
coherence and relevance of ideas and style [1½ ]
Value Points:
SilasMarnerbetrayedbyhisfriend,WilliamDane
- sharedthesamereligioussectinLanternYard
- WilliamDaneframedSilasMarner
- emptybagfoundinSilas'room
- knifefoundatthecrimescene
- married Silas Marner's beloved / fiancee
- withdeaconfallingill-SilasMarnerlookingafterhim
- deacon died during Silas Marner's turn
- ironic that he was accused of a crime and sin when he was doing a sacred
duty to the church
OR
- Griffin's appearance (wrapped up from head to toe, the brim of his hat hid
everyinchofhisface)
- arrivedonawinterdaythroughabitingwindanddrivingsnow
- walkedallthewayfromBramblehurstrailwaystation
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46
- withoutmuchintroductionhetookupquartersintheinn
- staysaloof
- looks strange with a muffled and bandaged head
- snubs Mrs Hall when she tries to be friendly
- keepstohisroom-mostlytalkingtohimself
- TheinvisiblemanisrudewithTeddyHenfreyandaskshimtoleavetheroom
- Teddy spreads rumours
- he tells Mr Hall - the invisible man wanted by police / wrapped to conceal
identity
- dog tears his trousers - Fearenside sees absence of pink flesh, says either a
black man or piebald
- Mrs Hall sees him without a hat / He quickly covers his mouth when she
enters
- terrorises Cuss by showing empty sleeves and tweaking his nose with an
invisiblehand
(min3)
13 Distributionofmarks:
Content: 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½]
coherence and relevance of ideas and style [1½]
(deduct ½ a mark for two or more grammatical/spelling mistakes)
Value points:
DollyWinthrop
- wifeofthewheelwright,BenWinthropandmotherofAaron
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- DollytakesuponherselftohelpSilas
- raisesEppie
- believesincustomsandtraditions
- persuades Silas to trust in God always and go to church - mainstream of
sociallife
- DollylaterbecomesEppie'sgodmotherandmother-in-law
- iskindandpatient
- devoutlyreligious
- openandfriendly
- friendandguidetoSilasMarner
- helpsinthereorientationofSilasMarner
(any3)
Marvel
- poor, homeless, jobless, wanderer, a tramp, wearing shabby, old fashioned
clothes/beardedplumpandshortlimbs/harmless/simple/noseofcylindrical
protrusion
- wears a shabby obsolete hat, shoelaces substitute for button
- air of abandon and eccentricity about him / does everything in a leisurely
manner/Griffinconsidershimstupid
- unwillingtoworkfortheinvisibleman
- drinksalotandwhenhehearstheinvisiblemanhethinksitisduetothedrink
- practical man - accedes to Griffin's request as he realises that the latter is a
man of power
- Griffinthinksheisstupidandmakeshimthevictimofhismanipulations
- firstvisiblepartnerandcompaniontotheinvisibleMan
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- fear of injury makes him a puppet carrying out orders
- carriesscientificnotesandalargesumofmoneyfortheinvisibleman
- heissmartenoughtotakeprotectioninthecell/jailtosavehimselfformthe
invisibleman
- wheninvisibleman'sretaliationturnsagainstDrKemp,Marvelissaved
- smart, knows what advantages to take from the situation
- gets all the money - keeps the books - becomes owner of an inn
- onlyonewhoisbenefittedfromassociationwithGriffin
(any 3)
QUESTION PAPER CODE 1/1
EXPECTEDANSWERS/VALUE POINTS
SECTIONA: (READING) 20 Marks
1 COMPREHENSION PASSAGE
NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling,
orwordlimit.Fullmarksmaybeawardedifastudenthasbeenabletoidentifythe
core ideas. If a student literally lifts a portion of the given passage as an answer to
a question, no mark(s) to be deducted for this as long as it is relevant.
(a) (iv) 1 mark
(b) (i) 1 mark
(c) (ii) 1 mark
(d) anyoneofthefour options 1 mark
(e) that this is the place where Christ was removed from the cross 1 mark
(f) - to venerate the place of burial 1 mark
- to protect the Holy Sepulchre
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- toshowhisofficialrecognitionandrespectforChristianity
- theoriginalburialsitedestroyedbycontinuousattacksandrebuilding
(anyone)
(g) - not interested in the history or tradition of the place 1 mark
- interestedinthenoveltyoftheplaceandinphotographingit
- cluelessaboutdirectionsandlocationsofimportantsites
(anyone)
(h) - Archaeologistshavediscoveredtombsfromthatera.Thisiscompatible 1 mark
withThebiblicalperiodwhichsaysthatJesus'crucifixionoccurredat
theplaceoutsidethecitywallswithgravesnearby
(i) - a low door leads to a narrow, smaller chamber inside 1 mark
- a large marble slab covers the original rock bench on which the body
of Jesus was laid, this makes the chamber very narrow
- people enter in a single file to pray at the tomb
(anyone)
(j) - feltembarrassed 1 mark
- didn't want to be seen crying by others
- Like a true Christian she felt overwhelmed as Jesus was buried there,
whileothersseemedunconcerned.
(anyone)
(k) i) tomb 1 mark
ii) non-descript 1 mark
2 COMPREHENSION PASSAGE
NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling,
or word limit. Full marks may be awarded if a student has been able to identity the
core ideas. If a student literally lifts a portion of the given passage as an answer to
a question, no mark(s) to be deducted for this as long as it is relevant.
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(a) (iv) anyoneofthefouroptions 1 mark
(b) (iv) anyoneofthefouroptions 1 mark
(c) - we look for whatever makes our heart happy, gives comfort to our 1 mark
body and peace to the mind / modern amenities, luxuries and comforts
- wethinkthatexternalsolutionswillfulfilourneeds
- we do not want to make any special effort even in our spiritual search
- pilgrimageshavebecometourismopportunities/picnics
(anyone)
(d) - we tamper with our own nature and with that of the Supreme 1 mark
- weseekcomfort,luxuryandindulgence
- we become complacent
- we travel with a large group consisting of our relatives, friends and
associates
- insteadofspiritualupliftment,ouregosgetaboost
- wefailtounderstandthegraceandsignificanceofapilgrimage
- wedon'taimatspiritualupliftment
(anyone)
(e) - we often make all things around us the way we want them 1 mark
- wethinkthatexternalsolutionswillfulfilourneedsthereforewedonot
makeanyspecialeffortseveninourspiritualsearch
- our mind is resourceful - it works to find shortcuts in simple and easy
ways
- we have distorted traditions according to our conveniences
(anyone)
(f) - we have to face the fierce blows / harsh treatment from nature 1 mark
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- itsfurycanwashaway allimperfections
- clevernessrenderedineffective
(anyone)
(g) - created a feeling of belonging towards all / conveyed a message of 1 mark
brotherhood
- conductedthedharmaoftheirpilgrimage
- took it as a penance or sadhana to stay near nature and to experience
afeelingofonenesswithit
- keptthebodyhealthyandfulfilledwithfrugalmeals
- sought freedom from attachments and yet remain happy away from
relativesandassociates
- sawitasamediumofspiritualevolution
- didnottrytopamperthemselveswithluxuriesandmaterialcomforts
- took it as a path to peace and knowledge
(anyone)
(h) - apilgrimageissymbolicofcontemplation,meditationandacceptance 1 mark
- a metaphor for the constant growth or movement and love for nature
that we should hold in our hearts
- nottotreatapilgrimagelikeapicnic
- toobserveausterityinordertoexperiencespiritualupliftment
- pilgrimage must be treated as a path to peace and knowledge
- tounderstandthegraceandsignificanceofapilgrimage
- topromotebrotherhoodthroughapilgrimage
(anyone)
(i) i) rendered 1 mark
ii) complacent 1 mark
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3 Note
If a student has attempted only summary or only notes, due credit
should be given.
I mark allotted for the title be given, even if a student has written the
title either in Q3(A) or Q3(B)
Content must be divided into headings and sub-headings
Thenotesprovidedbelowareonlyguidelines.Anyothertitle,mainpointsandsub-
pointsmaybeacceptediftheyareindicativeofthecandidate'sunderstandingofthe
givenpassage,andthenotesincludethemainpoints,withsuitableandrecognizable
abbreviations.
Complete sentences are not to be accepted as notes.
Numbering of points may be indicated in different ways, as long as a consistent
patternisfollowed.
(b) NOTE MAKlNG
DistributionofMarks
Abbreviations / Symbols (with /without key) - any four 1 mark
Title 1 mark
Content(minimum3headingsandsub-headings,withproperindentation 3 marks
and notes)
Suggested Notes
NOTE:
Accept the notes and summary in the third person.
Also accept them written in the first person provided the format is
correct and content is covered properly.
Title: ArtofListening/Hearingvs.Listening/anyotherrelevanttitle
1 Differenceb/wHearing&Listening
1.1 hearingdiff.fromlistening
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1.2 hearing-phy
1.2.1 soundwaves
1.2.2 maynotunderstand
1.3 listening-fullattention
1.3.1 applyingmind
2 BarrierstoListening/Obstacles
2.1 prejudices!preconceivednotions
2.2 pretendtolisten
2.3 sitinjudgement
2.4 -ivemind-set
3 BenefitsofListening/Benefits/Advantages
3.1 fullawareness&conc.
3.2 suspendjudgement
3.3 speakyourmind
4 ImportanceofListening
4.1 perfectcommunication
4.2 improveinterpersonalrelationships
4.3 notension/negativity
4.4 understand unspoken words
4.5 reducemisunderstanding
(b) Summary
Thesummaryshouldincludealltheimportantpointsgiveninthenotes.
Content 2 marks
Expression 1 mark
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SECTION B: ADVANCED WRITING SKILLS
NOTE: The objective of the section on Advanced Writing Skills is to test a
candidate's writing ability. Hence, expression assumes as much importance as the
content of the answer.
4 ADVERTISEMENT
Content 3 marks
Expression 2 marks
Suggested value points
[SITUATION VACANT / CANTEEN MANAGER]
- post advertised - canteen manager
- educationalqualification
- professionalqualification
- age,experience
- otherqualitiesrequired
- salary / perks offered
- who to apply - Principal,Akash Public School
- how to apply
- lastdateforapplying
- anyotherrelevantdetails
(min4points)
(due credit should be given for economy of words used)
OR
NOTICE
Format 1 mark
The format should include: NAME OF THE INSTITUTION (ISSUING
AUTHORITY) / NOTICE / TITLE, DATE, and WRITER'S NAME WITH
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DESIGNATION. The candidate should not be penalized if he has used capital
lettersforwritingthenoticewithinorwithoutabox.
Content 2 marks
Expression 1 mark
Suggested value points
[INTERCLASS SINGING COMPETITION]
- what-interclasssingingcompetition
- where -Akash Public School/venue
- when - day, date, time
- lastdateofsubmissionofentries
- to be given to whom / contact details
- anyotherrelevantdetails
5 LETTERWRITING
[Note: - No marks are to be awarded if only the format is given. Credit should be
givenforthecandidate'screativityinpresentationof ideas.Useofboththetraditional
and the new format is permitted.]
Format 1 mark
1.sender'saddress,2.date,3.receiver'saddress,4.subject/heading,5.salutation,
6.complimentaryclose.
Content 3 marks
Expression 2 marks
grammaticalaccuracy,appropriatewordsandspelling [1]
coherence and relevance of ideas and style [1]
(LETTER TOTHE EDITOR- CORBETT NATIONALPARK)
Suggested value points
- tourism-largestindustryworldwide
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- adding to the degradation of parks
- harmsenvironmentinmanyways
- tramplingvegetation
- litteringinplaces
- disturbingwildlife
- vehicles parked in prohibited areas
(any 3 points)
solution:
- limitingvisitors/vehicles
- educatingtouristsontheissue
- takinghelpofthelocalpeople
- penaltyforabuseoffacilities,laws
- increaseinpatrollingbyforestguards
- increasestaffandstricterimplementation
- limitnoisepollution
- useofnonpollutingfuel
(any 3 points)
(anyotherrelevantdetails)
OR
(LETTER TO THE EDITOR-EXPLOITATION OF TEACHERS)
Suggested Value Points
- privateschoolsbecomingbusinessminded
- notenoughappreciationforteacher'scontribution
- payfractionoftheirauthorisedsalaries
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- no perks and allowances
- leads to demotivation and loss of interest in work
- affectsperformanceinclassroom
- difficulttogetandretainqualityteachers
Suggestions:
- government to ensure that such schools pay salaries -as per govt. fixed pay
scales
- schoolauthoritiestobemorehumane
- good salary will draw good and competent teachers
- paymentthroughbanks
- governmentagencytomonitorsalaryandperks
(anyotherrelevantpoints)
6 DEBATE
Format(openingaddressandconclusion) 1mark
Content 4 marks
Expression 5 marks
grammaticalaccuracy,appropriatewordsandspelling [2½ ]
coherence and relevance of ideas and style [2½1
Suggested Value Points
FOR
- dissectioncruelandunpleasant
- teacheschildrentoabuseanimals
- unethical
- drugs that pass animal tests are not necessarily safe
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- animals stock piled on top of one another, shipped in crowded containers
with no temperature regulation, food or water
- negativeimpactonbio-diversity
- ecologicalimbalance
- animaldissectioncanbereplacedusingvirtuallabsandmodels
AGAINST
- willhamperanatomylessons
- willproducegenerationsofresearcherswithoutappropriatelabskills
- willnotgivestudentshandsonexperience
- necessary prelude to further research
- hasscientificandeducationalpurpose
- organs and other matter can be fully examined and described
(anyotherrelevantdetails)
OR
Suggested Value Points
FOR
- mediaplaysamajorroleinourlives
- adventofelectronicmediafacilitateseasyunderstanding
- useofvisualsmoreattractive
- easier to grab people's attention
- helpfultoilliteratepeople
- reaches out to thousands and lakhs of people at the same time
- e-rnedia is faster
- environmentfriendly
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AGAINST
- newspaper is dependable
- authenticandgenuine
- editorialcommentshelpful
- electronicmediaisnotviableinplaceswithfrequentpowercuts
- newspaper cheaper
(anyotherrelevantdetails)
7 ARTICLEWRITING
Format 1 mark
Content 4 marks
Expression 5 marks
grammaticalaccuracy,appropriatewordsandspelling [2½]
coherence and relevance of ideas and style [2½]
Suggested value points:
(RAGGING,ANEVIL/ any other suitable heading)
- practicefromtheBritishera
- originalaim,respectforhierarchy
- enforcingtraditions,discipline
- prefect - a teacher substitute
- misuseofauthority
- psychologicaltraumaforfreshers
- riskslife/leadstofatalities
- stringentlawsandpunishments
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- actionagainststudentsindulginginragging
- sensitisationontheissue
- moreactivitiesinvolvingseniorsandjuniors
(anyotherrelevantpoint)
OR
Suggested value points:
(TOURISM POTENTIAL IN INDIA / any other suitable heading)
- placeofworship-religioustourism
- foreigners-placesofhistoricalinterest
- therich - hillstationsduringsummers
- the sun-kissed beaches in winters
- leisuretourism
- medicaltourism-worldclasshospitals
(anyotherrelevantpoints)
SECTION C: LITERATURE (TEXT BOOKSAND LONG
READINGTEXT)
NOTE: The objective of the section on Literature is to test a candidate's ability to
understand and interpret the prescribed text through short and long answer type
questions. Hence both content and expression in answers to the given questions
deserveequalimportancewhileawardingmarks.
8 [Thisquestionhasbeendesignedtotestthestudents'understandingofthetextand
their ability to interpret, evaluate and respond to the questions based on the given
extract. In other words, it attempts to test their reading comprehension ONLY.]
Value points:
(a) - movement of trees backward as the car moves ahead 1 mark
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(b) - toseeherbeforedeparting / her feeling of anxiety and insecurity / 1 mark
love for her mother makes her look at her mother again
(c) - observed her pale unhealthy appearance/ resembling the latewinter 1 mark
moon
(d) - simile(asalatewinter'smoon) 1 mark
OR
(a) - thepoor/impoverishedchildrenoftheslums 1 mark
(b) - thesluminwhichtheyareliving/wastematerialheap/unwanted 1 mark
(c) - physicallyweak/malnourished/impoverished 1 mark
(d) - too poor to afford spectacles / shattering of dreams 1 mark
9 Short answer type questions
Distributionofmarks:
Content: 2 marks
Expression 1 mark
(deduct½amarkfortwoormoregrammatical/spellingmistakes)
Value points:
(a) For elders - means of survival 3 marks
For children - wrapped in wonder/ they expect to get a coin / gives them
thehopeoffindingmore
(b) came from Champaran to Lucknow to speak to Gandhi / accompanied 3 marks
Gandhi everywhere / to Cawnpore ashram and then Calcutta
(c) - people pursue their goals single-mindedly on keeping theirlives 3 marks
moving
- wouldbebetteriftheygivethemselvessometimeforrest
- keepquiet-willhelpwhentheyaresad/don'tunderstandthemselves
/threatenthemselveswithdeath
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- silenceisproductiveandstillnessisprogress
- howearthseemsstillbutnurtureslifeunderapparentstillness
(any2)
(d) - sun / moon / trees - old and young / daffodils / sheep / forests / rills / 3 marks
forest brake / musk rose / tales / grandeur of the dooms
(any4)
(e) - vows to kill a hundredtigerstoensurehislongevity/assoonashe was 3 marks
born, astrologers had foretold that one day the Tiger King would be
killedbyatiger
(f) - motionlesswithhisfaceinthesand 3 marks
- unconscious
- withagunwoundontherightsideofhislowerbackwhichhadreopened
/fleshblackenedwithgunpowder
Q10&11[Thesequestionshavebeensettotestthestudents'understandingofthe
text and their ability to interpret, evaluate and respond to the issues raised therein.
Hence no particular answer can be accepted as the only correct answer. All
presentations may be accepted as equally correct provided they have been duly
supported by the facts drawn from the text. The important thing is that the student
shouldbeabletojustifyhisorherviewpoint.]
10 Distributionofmarks:
Content 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½] .
coherence and relevance of ideas and style [1½]
Value points:
- prediction-thehundredthtigerwouldkillhim
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- everyactionoftheTigerKingguidedbytheprediction
- huntinginnocentanimals
- marriage
- bribe
- taxes
- death caused by his own actions
OR
- Sadaobelievedinprofessionalloyaltyandhumankindness
- ran the risk of being punished for saving anAmerican P.O.W.
- dilemma - to be a patriot or a traitor
- surgeoninhiminstinctivelyinspireshimtooperateuponthedyingman/save
him
- hissentimentalityforthesufferingandwoundedhelphimriseabovenarrow
national prejudices and extend help and services to an enemy
- as a patriot reported the prisoner's presence at his house to the General -
keepinghisintegrityasaJapanese
- endingofthestoryhighlightshumanitarianattitudeofSadao
- waited for the assassin to come
11 Distributionofmarks:
Content: 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½]
coherence and relevance of ideas and style [1½]
Value Points:
RegretinFranz
- wished he had attended classes more often
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- paidmoreattention
- foundlessonsmoreinteresting
Thevillagepeopleregretted
- theyhadpaidlessheedtolearningtheirlanguage
- for not letting their wards go to school more often
M.Hamel
- forsendinghisstudentstowaterflowers
- givingstudentsaholidaywhenhewantedtogofishing
OR
- Sophieisayounggirlfullofdreams
- incurabledreamer
- an escapist from the real world
- alldreamsanddisappointmentsarefigmentsofherownimagination
- comesfromalowermiddleclassfamily
- earmarkedforthebiscuitfactory,dreamsofopeningaboutique,becominga
fashion designer or an actor
Q12 & Q 13 - Long Reading Text
[NOTE: Accept any answer that correlates with the novel and seems
relevant]
12 Distributionofmarks:
Content: 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½ ]
coherence and relevance of ideas and style [1½ ]
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Value Points:
- WilliamDaneisaschemingperson
- became friends with Silas Marner because they shared the same religious
sect in LanternYard
- framedSilas
- SilasaccusedofthecrimeastheemptybagwasfoundinSilas'roomandhis
knifewasfoundatthecrimescene.Silas'knifehadbeenwithWilliam
- Williamwantedtogetrichquickly,stoleSilas'fiancee
- with deacon falling ill, he sees his opportunity and works out a plan to do
both - frames Silas and manages to marry Sarah / Silas' fiancee
OR
- at four o'clock - early morning
- vicar and wife hear noises and a violent sneeze
- something snapped - drawer opened
- rustle of papers
- matchstruck-studyroomfloodedwithyellowlight
- sound of money gone from drawer
- kitchendoorslammed
- get to know about it through the vicar and his wife
13 Distributionofmarks:
Content: 3 marks
Expression 3 marks
grammaticalaccuracy,appropriatewordsandspelling [1½]
coherence and relevance of ideas and style [1½]
(deduct ½ a mark for two or more grammatical/spelling mistakes)
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Value points:
Dustan Cass
- squire'syoungestson
- cruel / lazy / manipulative / greedy - ready to say anything to get what he
wants
- blackmailshisbrotherGodfrey(threatenstorevealthelatter'ssecretmarriage)
- forces his brother to sell off his favourite horse, 'Wildfire' and strikes a good
bargainwithBryce
- hisgreedgetstheanimalkilled
- sees Silas' cottage - wants to borrow but steals Silas' money
- vanishes - his corpse is found later when stone-pits drained
- he had fallen into a quarry full of water and drowned
OR
Character sketch of Mrs Hall
Businesswoman
- wifeofMrHall
- owner of the Coach and Horses Inn
- down to earth
Greedy
- sincethestrangerhadcompensatedforhismesssoshedefendshimbycalling
himanexperimentalinvestigator
- standsherground-scaredbutconfrontsGriffin(andsayshemustcomeonly
throughdoorwhenshesuspectsthelatter'sinvolvementintheburglary)
- practical-disciplinedbyyearsofexperience,remainedinthebarnexttothe
tillandsupressedhercuriosity
- used to making her decisions - expected nothing from her husband
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ENGLISH ELECTIVE – (C)
Time allowed : 3 hours Maximum marks : 100
General Instructions:
(i) All the questions are compulsory.
(ii) You may attempt any section at a time.
(iii) All questions of that particular section must be attempted in the correct
order.
QUESTION PAPER CODE 212
SECTION A (READING)
1. Read the passage given below and answer the questions that follow: 10
1 Hewlett-PackardCompanyorHP(styledashp)isanAmericanmultinational
informationtechnologycorporationheadquarteredinPaloAlto,California,
United States. It provides hardware, software and services to consumers,
smallandmedium-sizedbusinesses(SMBs)andlargeenterprises,including
customersinthegovernment,healthandeducationsectors.
2 Itspecializesindevelopingandmanufacturing,computing,datastorage,and
networking hardware; designing software and delivering services. Major
product lines include personal computing devices, enterprise and industry
standard servers, related storage devices, networking products, software
and a diverse range of printers and other imaging products. HP markets its
products to households, small- to medium-sized businesses and enterprises
directly as well as via online distribution, consumer-electronics and office
supply retailers, software partners and major technology vendors. HP also
hasservicesandconsultingbusinessarounditsproductsandpartnerproducts.
In 2013, it was the world's second-largest PC vendor by unit sales.
3 During the late 1990s, HP, the second largest computer manufacturer in the
world,facedmajorchallengesinanincreasinglycompetitivemarket.In1998,
(20 Marks)
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while HP's revenues grew just by 3%, competitor Dell's rose by 38%. HP's
share price remained more or less stagnant, while competitor IBM's share
price increased by 65% during 1998. Analysts said HP's culture, which
emphasized teamwork and respect for co-workers, had over the years
translated into a consensus-style culture that was proving to be a sharp
disadvantageinthefast-growingInternetbusinessera.Analystsfeltthatinstead
ofLewisPlatt,HPneededanewleadertocopewithrapidlychangingindustry
trends.Respondingtotheseconcerns,inJuly1999,theHPboardappointed
Carleton S. Fiorina (Fiorina) as the company's CEO. Fiorina implemented
severalcost-cuttingmeasurestostreamlinethecompany'soperations.Some
of the measures included forced five-day vacation for the workers and the
postponementofwages'hikesforthreemonthsinDecember2000.InJanuary
2001, HP laid off 1,700 marketing employees.
4 InApril2001,FiorinaannouncedthatHP'srevenueswoulddecreaseby2%
to 4% for the quarter ending April 30,2001 due to decrease in consumer
spending. In yet another move to cut costs, in June 2001, employees were
forcibly asked to take pay-cuts. More than 80,000 employees volunteered
saving the company $ 130 million. Things became worse when the HP
management announced that it would layoff another 6,000 workers in July
2001,thebiggestreductioninthecompany's64-yearhistory.Themanagement
alsosentmemossayingthatthelayoffswouldcontinueandthatthevolunteering
forpay-cutswouldnotguaranteecontinuedemployment.
5 In September 2001, HP and Compaq Computer Corporation announced
their merger. According to company insiders, once the merger was
implemented,Fiorinawaslikelytolayoffanother15,000to30,000employees
as part of a major cost saving drive. The merger was expected to yield cost
savings upto $ 2.5 billion primarily because of layoffs. The steps taken by
Fiorinasurprisedanalysts.Theysaidthatthesestepswereamajordeparture
from HP's organizational culture - 'The HP way' of promising lifelong
employmentandemployeesatisfaction.
6 Accordingtothecompanyinsiders,thoughchangewasnecessary,employees'
moralehadsufferedbadly.ManyemployeeshadlostfaithinFiorina'sability
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69
toexecuteherplans.Theyalsofeltthatherchangesweredestroyingmuchof
the company's cherished culture. HPVice-President for Human Resources,
SusanBowickadmitted,"Moralestatisticsarelowerthanwehaveeverseen
them." They also explicitly communicated their beliefs and values to the
employees.
1.1 Onthebasisofyourreadingoftheabovepassagemakenotesonitusingrecognizable
abbreviations, wherever necessary. Use a format you consider suitable. Supply a
suitabletitle. 6
1.2 Write a summary of the passage in about 80 words. 4
2. Readthepassagegivenbelowcarefullyandanswerthequestionsthatfollow: 10
1 Three years ago, Martin Scorsese, the New York director who has made
streetviolenceoneofhissignaturetraits,teamedupwithHarveyWeinstein,
co-chairmanofMiramaxFilmsandsomethingofastreetfighterhimself.The
goal was to make a stylized epic film about gang warfare in pre-Civil War
Manhattan with enough mass appeal to score at the box office.
2 Butthemakingofthatmovie,GangsofNewYork,hasturnedintoanepicof
its own. Stars like Robert De Niro and Willem Dafoe have come and gone.
Costs have overshot the original budget by about 25 percent to soar above $
100million.Weinsteinhasfoughtforastreamlined,morecommercialversion.
All the while, Scorsese has tried to stick to his artistic guns as the two have
battled over taste and length.
3 WithhopesofpromotingthefilmnextmonthatCannes,Miramaxexecutives
are pushing to have the final editing completed in the next few weeks so the
complex task of mixing sound with film can begin. But Scorsese is still not
satisfiedwiththeending.Hehasbeenconsideringreshootingit,somepeople
involved in the film say. The film was initially supposed to hit theatres last
December, but now is expected to be released later this year.
4 Scorsese has not had a box-office smash since Cape Fear, which earned $
79milliondomesticallyin1991.Weinstein,adomineeringpersonalitywho,
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byhisownadmission,isspurnedinHollywooddespitechampioningeclectic
hitslike TheEnglishPatientandGoodwillHunting,hascomeunderfinancial
pressureofhisown.InJanuary,heshutTalkmagazineandmorerecentlyhe
shed 75 Miramax employees and contract workers to trim costs.
5 Conflicts arise any time a director's vision collides with pressures to make a
commercial hit. But Saul Zaentz, the producer who battled with Weinstein
overmoneyafterworkingwithhimonAcademyAward-winningTheEnglish
Patient,saiditwasespeciallytruewithsuchstrong-willedpersonalities.
6 "Marty is only interested in making the right picture," Mr. Zaentz said. "He
willmakeitnomatterwhathehastodo.Andheisstrongenoughtofightfor
what he believes in. Harvey's interest, on the other hand, is not the same as
Marty's.Itisaboutmakingmoney."
7 The budget for "Gangs" has ballooned to more than $ 103 million from the
original $ 83 million - some of which is being paid for by Mr. Scorsese and
Mr.DiCaprio,whoplaystheleadcharacter,accordingtotwopeopleinvolved
in the film.At that price - high even by today's standards - it would be the
mostexpensivemovieinMiramax's22-yearhistory.Mr.WeinsteinandMr.
Scorsese declined to be interviewed but released this statement : "As the
only two decision makers on Gangs of New York we would be happy to
discuss this film in the context of an art versus commerce article when the
storyisaninformedone,whichclearlyhingesonthefinalfilmbeingscreened."
2.1 On the basis of your understanding of the passage, answer the following in your
own words :
(i) Why did Martin Scorsese team up with HarveyWeinstein? 1
(ii) What was the reason for the difference of opinion? 1
(iii) What was the reason for the expected delay of movie release? 1
(iv) In what way did they, 'the two decision makers' decide to answer the
queriesregardingthefilm? 1
(v) Whyweretheybothunderfinancialpressure? 1
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2.2 Choosethemeaningof words/phrasesgivenbelowfromtheoptionsthatfollow:
(a) Streamlined 1
(i) shapeditright
(ii) madeiteffective
(iii) inastraightline
(iv) leftalone
(b) Battledover 1
(i) end of a battle
(ii) foughtover
(iii) decided
(iv) overcame
(c) Spurned 1
(i) supported
(ii) rejected
(iii) specialised
(iv) fasted
(d) Championing 1
(i) cunning
(ii) playing
(iii) leading
(iv) supporting
(e) Hinges 1
(i) hangs
(ii) kepthigh
(iii) depends on
(iv) hinders
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SECTION B
(WritingandGrammar) 40
3. YouarePresidentofCivicClub,Delhi.TheClubhasdecidedtoorganizeawalkin
severalpartsofOldDelhitocreateawarenessofsanitationandcleanliness.Drafta
noticeinvitingmemberstojointhiswalk,givingallthenecessarydetailsin50-60
words.You are Ravi/Sarita. 4
OR
You are the President of Literacy Club, Kanpur.You want to create awareness of
the importance of voting in an election.You wish to invite Mrs. Neelima Sharma,
thelocalMLAtospeaktothemembersoftheClub.Draftaformalinvitationin50
- 60 words. Give all the necessary details.You are Rohan/Seema.
4. You areAmit /Amita, a Class XII student, of Saavan School,Agra.You feel that
after leaving school, you are not equipped to handle any job as you lack certain
skills.Writealettertotheeditorofanationaldaily,mentioningtheproblemsinthe
system.Givesuggestionsastohowwecanmakeeducationmorerelevanttopractical
and work. (Write in 120 - 150 words) 6
OR
You are Devika / Dev, living at 21 Mount Road, Coimbtore.You placed an order
for some gadgets like iPod, calculator, etc. after reading an advertisement in a
newspaper. On delivery, you discovered certain problems in the things received.
Draftaletterofcomplainttothemanagerofthecompany,OnlineShopper'sDream
at their office address, 34 Curzon Road, Chennai, giving details of the problems
and what you would like him to do. (Write in 120 - 150 words)
5. Yourschool,ManavVikasPublicSchool,Gurgaon,hostedaculturalextravaganza
whichlastedaweek.Variousactivitieslikepainting,debating,singingandwriting
saw enthusiastic participation.Around twenty-five schools took part in it. Several
prizesweregiventohonourthewinners.AsCulturalSecretaryoftheschool,write
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a report on the event for the school magazine. You are Manish/Manisha.
(Write in 150 - 200 words) 10
OR
AsSportsCaptainoftheschool,GyanVidayalaya,Gurgaon,youareconcernedto
see a steep decline in the number of students opting for sports activities.You feel
that gadgets like computers, mobile phones, etc. and academic pressure are
responsibleforit.Prepareaspeechtomotivatethestudentstoparticipateinsports
and offer suggestions to improve the situation. (Write in 150 - 200 words)
6. There has been a sudden spurt in violence and juvenile crimes. It has resulted in
educationists introducing value education in schools. How far do you think such
initiativesactuallyhelptochangethescene?Whatothermeasuresdoyoufeelcan
beeffectiveindealingwiththesituation?Writeanarticleforanewspaperexpressing
your views about it.You areAnuj /Anuja. (Write in 150 - 200 words) 10
OR
A large amount of tax-payers' money is spent on building memorials or naming
streets or places after leaders. You feel that there are better ways to remember
them and we should not waste money on such things and rather work on public
welfare schemes. Write an article expressing your views on it. You are Raghu /
Reema. (Write in 150 - 200 words)
7. (a) Rearrangethefollowingwordsandphrasesintomeaningfulsentences. 3 x 1 = 3
(i) I'm prudish / daddy / that's / always says / and vain / not true / but /.
(ii) I am / I / been told / have not / often / that / pretty /.
(iii) I looked / once / so attractive / when / a boy said / laughed / I /.
(b) You are going to meet a friend who is pursuing education in a university in
Singapore. You are interested in joining the same university. Frame six
questionsthatyouwouldaskyourfriendbeforeyoutakeadecision.Usethe
cluesgivenbelow. 3
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eligibilityforadmission
datesofadmission
coursesavailable
feestructure
boardingandlodging
freeshipsavailable
(c) The following passage has not been edited. There is one error in each of
the lines. Write the error and the correction in your answer book against
the correct blank number. Remember to underline the word that you have
supplied. 8 x ½ = 4
Error Correction
Successrestsintheability (a) _______ _______
ingetreal,lastingsatisfaction (b) _______ _______
oflife.Itmeans (c) _______ _______
be positive, practical and (d) _______ _______
constructiveinhisthoughts. (e) _______ _______
It means forward look (f) _______ _______
inattitudes.Successmean (g) _______ _______
constructiveactionthatturned (h) _______ _______
itintoreality.
SECTIONC
(Literature) 40
8. Read the extracts given below and answer the questions that follow : 10
(a) Their dreams that drip with murder; and they'll be proud
Of glorious war that shatter'd all their pride .....
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Men who went out to battle, grim and glad;
Children, with eyes that hate you, broken and mad.
(i) Why did 'their dreams' drip with murder? 1
(ii) What shattered their pride? 1
(iii) Pick out the figure of speech in the above extract. 1
(iv) What arethetwocontrastingfeelingsdepictedinthesoldier'sexpression? 1
(v) What turned the 'men who went out to battle' into children? 1
(b) Is it so easy, then? Goodbye no more than this
Quiet disaster?And is there cause for sorrow
Thatinthesmallwhitemurderofonekiss
Are born two ghosts, two Hamlets, two soliloquies,
Two worlds apart, tomorrow?
(i) Name the poem and the poet. 1
(ii) What 'disaster' has been referred to in the above extract? 1
(iii) Who are referred to as two ghosts and why are they called ghosts? 1
(iv) Why have the two worlds grown apart? 1
(v) Explainthereferenceto'twoHamlets,twosoliloquies'. 1
9. Answer the following in 50 - 60 words : 4
(a) Why has Lady Weston referred to Mr. Caesar as 'Mr. Brutus'?What are the
parallels that you can trace between the two?
OR
(b) What was the attitude of the White family towards the monkey's paw?
10. (a) Answer any two of the following in 80 - 100 words each: 5 + 5
(i) In the lesson, 'The Judgement of Paris', why did Suzanne leave the
judgement to the public to decide who was the better actor? Do you
thinkjusticewasdone?
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(ii) In the lesson, 'The Last letter', why does Pandit Nehru say, "danger
seemsterriblefromadistance:itisnotsobadifyouhaveacloselook
at it" ? How can danger add zest and spice to life and does it teach
anything?
(iii) In the lesson, 'I Can Play Schools', how was 'school' being played at
thebeginningandhowdiditchangetowardstheend?Whatwerethe
reasons for the change?
(b) Answer the following in 120 - 150 words:
Inthelesson,'TheHumofInsects',whatattributesmakesomeinsectsnoble?
Howcanhumanssometimesbeindirectlyresponsibleforcausingirritationto
theinsects? 6
OR
Aconservative society associates certain qualities with a son or daughter.
How does Rakesh's character conform to these perceptions ?
11. Answer the following in 150 - 200 words: 10
The novel, 'The Invisible Man' is a message for humanity and cautions us against
indiscriminatedabblinginscience.Howdoesthecentralcharacterprovethistobe
true ?
OR
ThecloakofinvisibilitygaveGriffinunlimitedpowerbutalsobroughtaboutloneliness,
isolationandhisdownfall.Explaininthecontextofthenovel.
OR
WhatisthesignificanceofSilasMarner's"nearsightedness"?
OR
CompareSilas'loveofmoneywithhisreligiousfaith.
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Marking Scheme — English Elective – (C)
General Instructions :
1. The Marking Scheme carries only suggested value points for the answers. These are only
guidelines and do not constitute the complete answers. The students can have their own
expression and if the expression is correct, the marks shauld be awarded accordingly.
2. Answer scripts should not be given to the evaluators for evaluation until and unless the
givenMarkingSchemehasbeenthoroughlydiscussedwiththeminagrouporindividually
onthefirstdayofevaluatian.
3. TheHeadExaminermustgothroughthefirsttenanswerscriptsevaluatedbyeachevaluator
toensurethattheevaluatianhasbeencarriedoutaspertheMarkingScheme.Theremaining
answerscriptsmeantforevaluatianshallbegivenonlyafterensuringthatthereisnosignificant
variatianinthemarkingofindividualevaluators.
4. EvaluatianistobedoneasperinstructionsprovidedintheMarkingScheme.Itshouldnot
be done according to one's own interpretatian or any other consideratian. However, the
MarkingSchemecarriesonlysuggestedvaluepointsanddoesnotcanstitutethecomplete
answer.
5. If a question has parts, please award marks on the right hand side for each part. Marks
awardedfardifferentpartsofthequestionshouldthenbetotalledupandwrittenintheleft
handmarginandcircled.
6. If a question does not have any parts, marks must be awarded in the left-hand margin.
7. Where marks are allotted separately for content and expression in the Marking Scheme
theyhavetobereflectedseparatelyandthentotalled. Thisisamandatoryrequirement.
8. A slash (/) in the Marking Scheme indicates alternative answers. If a student writes an
answerwhichisnotgivenintheMarkingSchemebutwhichisequallyacceptable,marks
shouldbeawardedonlyinconsultationwiththeHeadExaminer.
9. If a candidate has attempted an extra question, answer of the question deserving more
marks should be retained and the other answer be scored out.
10. Ifastudentwritesasinglewordinresponsetoashortanswertypequestionanditconstitutes
the core of the answer it should be accepted and awarded full marks.
11. Ifastudentliterallyliftsaportionofthegivenpassageasananswertoaquestionnomarks
shouldbedeductedforthissolongasitisrelevantandindicativeofthedesiredunderstanding
on the part of the student especially in Q.l (SectionA) and Q.10 (Section C).
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QUESTION PAPER CODE 212
EXPECTEDANSWERS/VALUE POINTS
SECTION A: (READING) 20 Marks
Q1 NOTE MAKING TOTAL MARKS: 10
Objective: 1.To develop the skill of taking down notes.
2.To develop the extracted ideas into a sustained piece of writing.
1.1 DistributionofMarks
Abbreviations/Symbols(with/withoutkey)-minimumfour 1 mark
Content(minimum3headingsandsub-headings,withproperindentationand 4 marks
notes)
Title 1 mark
IMPORTANT INSTRUCTIONS:
Accept the notes and summary in both the first and third person, provided the
format is correct and content is covered properly.
12. Some of the questions may relate to Higher Order Thinking Skills. These questions are to
beevaluatedcarefullyandstudent'sunderstanding/analyticalabilitymaybejudged.
13. Wherever the word limit is given, no marks are to be deducted for exceeding the word
limit.
14. A full scale of marks - 0 to 100 is to be used. In case of an answer book is deserving 95
marks and above, marks be awarded in consultation with the Head Examiner only.
15. TheExaminersshouldacquaintthemselveswiththeguidelinesgivenintheGuidelinesfor
SpotEvaluationbeforestartingtheactualevaluation.
16. Everyexaminershouldstayuptosufficientlyreasonabletime,normally5-6hourseveryday
and evaluate 20-25 answer books and should devote a minimum of 15-20 minutes to
evaluate each answer script.
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Thenotesprovidedbelowareonlyguidelines.Anyothertitle,mainpointsandsub-
points should be accepted if they are indicative of students understanding of the
givenpassageandthenotesincludethemainpointswithsuitableandrecognisable
abbreviations.
Completesentencesshouldnotbeacceptedasnotes.Halfamarkshouldbededucted
from the total if the student writes complete sentences.
Numberingofpointscanbeindicated'indifferentwaysandtheseshouldbeaccepted
as long as it follows a consistent pattern.
Note: If a student has attempted only the summary or only the notes, due credit
shouldbegiven.
Title:Hewlett Packard /Any other relevant title
1 Servicesofferedandspecialisation
1.1 hardware, software and services
1.2 smallandmediumsizedbusinesses
1.3 large enterprises - govt.,health and ed. sector
1.4 dev. of computing, data storage and hardware
1.5 deliveringservices
2 Majorproducts&marketing
2.1 personalcomputingandstoragedevices
2.2 enterpriseandindustryservices
2.3 software,printers&imagingproducts
2.4 marketingproducts
2.4.1 tohouseholds
2.4.2 smalltomediumsizedbusinesses
2.4.3 directlyandonline
2.5 second largest PC vendor 2013
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3 Majorchallenges
3.1 competitivemarket&changingindustrytrends
3.2 poor revenue growth
3.3 consensusstylecul.
3.4 new leader needed - Fiorina brought in
4 Preventive steps taken
4.1 layingoffemployeesinaphasedmanner
4.2 cost cutting / pay cuts - no guarantee of permt employment & continuity
4.3 companymerger
5 Majorimpacts
5.1 shiftincherishedorganisationalculture
5.2 moralesufferedbadly
5.3 beliefsandvaluescommunicatedtoemployees
Suggested abbreviations:
&-and ed. / edu. / Ed. - Education
dev. - development govt.-government
cul.-culture
Note: 1.Any other suitable abbreviations should be accepted
2. No student to be penalised if a key to abbreviations is not given separately
1.2 SUMMARY 4 marks
Objective: 1. To expand notes (headings and sub-headings) into a summary.
2. To test the ability of extraction. .
DistributionofMarks
Content 3 marks
Expression 1 mark
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Note: Due consideration should be given to the students if they do not cover all
thepointsinthesummarywhichisexpectedtobeconcise.Thesummary
shouldcovertheessentialdetailsonly.
2 COMPREHENSION PASSAGE 10 marks
The question has been designed to test a student's understanding of the passage
andhis/herabilitytointerpret,evaluateandrespondtothegivenpassage.Assuch,
contentassumesmoreimportancethanexpressionintheanswerstothesequestions.
Please do not hesitate to award full marks if the answer deserves it.
Objective: To identify and understand main parts of the text.
Note:
Nopenaltyforspellingandgrammaticalerror
Full marks to be awarded if a student has been able to identify the core
ideas. If a student literally lifts a portion of a given passage as an answer to
a question, no mark(s) to be deducted for this as long as it is relevant.
Acceptanyotheranswerequivalentinmeaningtotheanswersgivenbelow.
2.1 (i) - Harvey,abitofastreetfighterhimself 1 mark
- to make an epic film on gang warfare
- MartinScorsesemadestreetviolencethesignaturetraitofhisfilms
(anyone)
(ii) - Weinsteinwantedacommercialversion. ½+½ =1 mark
- Scorsese wanted to stick to artistic guns.
(iii) - Scorsese was dissatisfied with the ending, wanted to reshoot it 1 mark
(iv) - declined to be interviewed but released a joint statement 1 mark
(v) - Scorsese had no box office smash since Cape Fear 1 mark
- WeinsteinwasspurnedinHollywoodduetohisdominantpersonality
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2.2 (a) (ii) madeiteffective 1 mark
(b) (ii) foughtover 1 mark
(c) (ii) rejected 1 mark
(d) (iv) supporting 1 mark
(e) (iii) depends on 1 mark
SECTION B: (WRITING AND GRAMMAR) Total Marks 40
In section B, where questions have been designed to test the writing skills of the
students, expression (grammatical accuracy, appropriate vocabulary and style,
spelling,organisationandpresentationofrelevantmatterinacoherentandlogical
way)isimportant.
3 NOTICE 4 marks
Objective: To draft a notice in an appropriate style.
Content (includesformat) 3 marks
Format
- name of the club, notice / title, date of issue, signatory, designation of the
issuingauthority
- Thecandidateshouldnotbepenalisedifhe/shehasusedblockletters,with
or without a box.
Expression (Coherence and relevance of ideas, accuracy and style) 1 mark
Suggested Value Points
- detailsofthewalk
- areas covered
- purpose
- anyotherrelevantdetails
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OR
FORMALLETTER OFINVITATION
Objective: To use an appropriate style to write a formal letter of invitation
Content (includesformat) 3 marks
Format
1. sender's address
2. date
3. receiver's address
4. subject
5. salutation
6. complimentaryclose
7. sender'ssignature/name
Expression 1 mark
Suggested Value Points
- reasonforinviting
- invitationtoNeelimaSharma,thelocalMLA
- request to address the club members
- availability
- anyother
4 LETTERWRITING 6 marks
LETTER TO EDITOR: Ill Equipped Students
Objective: To use an appropriate style to write a formal letter to the editor
To plan, organise and present ideas coherently
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Format
1. sender's address 1 mark
2. date
3. receiver's address
4. subject
5. salutation
6. complimentaryclose
7. sender'ssignature/name
Content 3 marks
Expression 2 marks
Suggested Value Points:
- notenoughvocationalcourses
- more of theoretical courses
- lackpracticalskills-reading,writing,speaking
- not linked to job market
- irrelevantcontent
- holisticdevelopmentignored .
Suggestions
- needtolinkeducationtopracticallife
- need more vocational courses
- linked to job markets
- dueimportancetobegiventolifeskills
- anyother
OR
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COMPLAINTLETTER
Objective: To use an appropriate style to write a formal letter of complaint
To plan, organise and present ideas coherently
Format
1. sender's address 1 mark
2. date
3. receiver's address
4. subject
5. salutation
6. complimentaryclose
7. sender'sname/signature
Content 3 marks
Expression 2 marks
Suggested value points:
- list of items ordered - date, brand, no. of items
- detailsofdelivery-mode,time
- problems
- inconveniencecaused
- replace or repair
- earlyredressal
- anyother
5 REPORTWRITING 10 marks
Objective: To use a style appropriate to the given situation
To plan, organise and present ideas coherently .
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CULTURALEXTRAVAGANZA
Format: title/heading,writer'sname 1 mark
Content: 4 marks
- what, when, where, why, how,
- detailsofactivities
- prizeswon
Expression 5 marks
grammatical accuracy, appropriate words and spelling (2½)
coherence and relevance of ideas and style (2½)
OR
SPEECHWRITING 10 marks
Objective: To use a style appropriate to the given situation
To plan, organise and present ideas coherently
Format: greetingandthanking 1 mark
Content 4 marks
Expression 5 marks
grammatical accuracy, appropriate words and spelling (2½)
coherence and relevance of ideas and style (2½)
Suggested Value Points
- reasons for fewer students opting for sports activities
- importanceofsportsforhealth,fitness,holisticdevelopment
- exampleofsuccessfulsportspersonalities
Suggestions
- betterinfrastructure
- morefundallocation
- sportsincludedinschoolcurriculum
anyotherpoint
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6 ARTICLEWRITING 10 marks
Objective: To use a style appropriate to the given situation
To plan, organise and present ideas coherently
Format (title/headingandnameofwriter) 1 mark
Content 4 marks
Expression 5 marks
grammaticalaccuracy,appropriatewordsandspelling [2½]
coherence and relevance of ideas and style [2½]
Suggested Value Points
(JUVENILE CRIMES)
- initiativeshelpfultosomeextent
- students do not take them seriously
- values to be taught by example
- limitedeffect
Suggestions
- keepingstudentspositivelyoccupied
- helpingtodevelopvocationalactivities
- importantparentalrole
- inculcatingmoralvaluesduringchildhood
- valueorientedcurriculum
- roleofacounsellor
- regularorientationprogrammesforparentsandteachers
anyotherpoint
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OR
Suggested Value Points
(MONEYWASTED ON MEMORIALS)
- memorials-wasteofmoney
- better ways to remember leaders
- become a point of contlict
- rousepublicresentment
- money to be spent on welfare schemes
anyotherpoint
NOTE : In question 7 care should be taken not to award marks to any inaccurate
answerscarryingerrorsingrammarandpunctuation.
7 (a) REARRANGING 3 marks
Objective:Toreadandarrangewordsandphrasesintomeaningfulsentences
(i) Daddy / always says / I'm prudish / and vain / but / that's / not true. 1 mark
(ii) I / have not / been told / often / that / I am / pretty. 1 mark
OR
I / have not / often / been told / that / I am / pretty.
(iii) I / laughed / when / once / a boy said / I looked / so attractive. 1 mark
OR
I / laughed / when / a boy said / once / I looked / so attractive.
OR
Once / I / laughed / when / a boy said / I looked / so attractive.
OR
I / laughed / when / a boy said / I looked / so attractive / once.
(anyothermeaningfulsentencemaybeaccepted)
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7 (b) FRAMING QUESTIONS 3 marks
Objective: To understand the context and frame relevant and appropriate
questions
Marking: ½ a mark for every accurate question framed
Note: No marks to be awarded if there is any inaccuracy. The six questions
should cover at least any of the two areas specified in the given
question.
1. Whatarethedifferentcoursesavailableinyouruniversity?
2. What is the eligibility condition / criterion for admission to your
university?
3. What are the dates of admission for various courses?
4. What is the fee structure?
5. Whataretheboardingandlodgingarrangements/facilities?
OR
Areboardingandlodgingfacilitiesavailableforstudents?
6. Arefreeshipsavailable?
(any other suitable questions may also be accepted)
7 (c) EDITING 4 marks
Objective: Tousegrammaticalitemsappropriately
Marking: ½ a mark each
Note:
- If the candidate copies the sentence and replaces the incorrect word
with the correct answer, marks should be awarded
- If only the correct words are given, marks should be awarded
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Error Correction
(a) in on
(b) in to
OR
get getting
(c) of in/from
(d) be being/becoming
(e) his one's / your / our
(f) look looking
(g) mean means
(h) turned turns
SECTION C: LITERATURE Total marks 40
8 Reference to Context 10 marks
UnderSectionC(Q8),questionshavebeendesignedtotestastudent'sunderstanding
of the passage and his / her ability to interpret, evaluate and respond to the given
passage.Assuch,contentassumesmoreimportancethanexpressionintheanswers
tothesequestions.Pleasedonothesitatetoawardfullmarksiftheanswerdeserves
itespeciallyinthelonganswers.
Objective: Toteststudents'comprehensionofpoetry-local,global,interpretative,
inferentialandevaluative
Value points:
8 (a) (i) - traumaofbattle,shockandstrainofbloodywar/cowedsubjection 1 mark
to the ghosts of friends who died / haunted nights
(ii) - crueltiesofwar 1 mark
(iii) - grim and glad - alliteration/gloriouswarshatteredtheirpride- 1 mark
paradox/ irony
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- dreams drip with murder - metaphor
- children-metaphor
(anyone)
(a student may or may not quote the relevant line for the figure of speech)
(iv) - proud and shattered / grim and glad / glorious and shattered 1 mark
(v) - cruelty of the battle / cowed subjection / horrors of war 1 mark
8 (b) (i) Curtain-HelenSpalding 1 mark
(ii) - breakup of relationship / separation of two lovers 1 mark
(iii) - the two lovers ½ + ½ = 1 mark
- deathoftheiremotionsresultingintheirghostlyexistence
(iv) - the love between the two has ended / circumstances have com- 1 mark
pelledthemtoendtheirrelationshipbymutualconsent
(v) - like Hamlet's dilemma the two separated lovers debated their 1 mark
separation,confusionandindecision.HencetwoHamletsand
twosoliloquies
9 Objective: To test students' comprehension of prose -local and global 4 marks
Content 3 marks
Expression 1 mark
Answeranyone
(a) - Brutus led the conspirators in the assassination of Julius Caesar on
15th March 44BC
- Lady Weston calls Caesar from Hampton, Brutus who has come to
see Lord Weston regarding rose trees because he has terrified her
husband
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Parallelsdrawn
- Brutus led the conspiracy against Julius Caesar - Mr Caesar from
Hampton created panic in the mind of Lord Weston
OR
(b) - Initially,hesitantandsceptical.Thesonisnotinterested.Parentshave
mixed feelings but later overcome by curiosity and greed, accept it.
10 Objective: To test students' comprehension of prose - local and global 5 marks
(a) Content: 3 marks
Expression: 2 marks
Answer any two
(i) - Suzanne liked both and she could not decide the better one
- favouredneither
- prepared tough competition for both
- wasflirtatious
- believedthematterwouldremainunsolved
- triedtopostponethematterindefinitely
- saved herself from the problem of passing judgement on the two lovers
- cunning and clever, she knew both loved her
- yet in the end, she kept her word
(any3)
Yes, justice was done
- Quinquart played his part well and proved himself a better actor than
Robichon
- Paris awarded the 'palm' to Quinquart without a dissenting voice
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- Quinquart played his part so well that even Robichon was duped by
him
No, justice was not done to Robichon
- Robichondidmostoftheplanning
- he devised a way out to prove his supremacy by being versatile
- he discussed everything with his adversary, Quinquart and his love,
Suzanne
- even the deal with Jacques Roux was arranged in front of them
- hebelievedinafaircompetition
- contrastinglyQuinquartwasveryquietabouthissecretiveplan
- Quinquart won the heart of Suzanne but Robichon conquered hearts
ofall
(any3)
(ii) - removesdullnessandboredom/makeseverythingmoreadventurous
- westoptakingthingsforgranted
- risk and danger makes one wise
- teaches us how to overcome danger
- perceptions get keener and joys more intense
(iii) Inthebeginning,Marianwasplayingschoolalonewithherdolls
- scoldedthem
- made gestures like her teacher might have done
- wasmechanicalandboring
Later on Freda joined her in the garden
- cheerful
- class was larger, brighter and more comfortable
- made the game more real
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94
10 (b) Answer in 120-150 words 6 marks
- bees and wasps are called noble because they do not harm anyone
untilandunlesstheyareharmed
- industrious, work for the general good
- helpinpollination
- liveaquietandinoffensivelife
- by removing a large quantity of honey from the beehives and making
the bees angry
OR
- conservative society perceives sons to be dutiful to their parents
- respectfamilytraditions,familycultureandvaluesystem
- exemplaryfilialbehaviour
- Rakesh played his part to the best of his ability
11 Extendedreading:NOVEL 10 marks
Distributionofmarks:
Content : 6 marks
Expression 4 marks
Value Points :
TheInvisibleMan
- Griffinlearnsthesecretofinvisibility.
- thisaltershischaracter
- feelsempowered
- misusesscience
- does not know how to revert
- patheticend
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OR
- unlimitedpowermadeGriffincorrupt,arrogantandfannedcriminaltendencies
resulting in friendless life, bad tempered, secrecy, isolation, betrayal and
downfall
OR
SilasMarner
- Silas'spooreyesight
- partofthebodilydeteriorationanddeformation
- longhoursofwork
- bentframeandprematureaging
- cause,repetitivelabour
- poor vision creates a parallel between Eppie and Silas's lost gold
- does not see Eppie come in and gold leave
- noticesEppie'sblondhair
- thinksgoldhasreturned
- symboliclevel
- near-sightednesssymbolisesgeneralnarrownessofvisionandthought
- preventshimfromthinkingbeyondthenarrowconfinesofworkandgold
- sixteenyearsafterEppie'sadoption,completetransformation
OR
- Eppie'sappearancetransformshim
- realisationfutilityoflustformoney
- notreciprocal
- does not lead to higher system of beliefs / values
- integrationwithRaveloecommunity
- religiousfaithrestored
- startsvisitingchurch
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MATHEMATICS
Time allowed : 3 hours Maximum Marks : 100
General Instructions:
(i) All questions are compulsory.
(ii) Please check that this Question Paper contains 26 Questions.
(iii) Marks for each question are indicated against it.
(iv) Questions 1 to 6 in Section-A are Very Short Answer Type Questions carrying
one mark each.
(v) Questions 7 to 19 in Section-B are Long Answer I Type Questions carrying
4 marks each.
(vi) Questions 20 to 26 in Section-C are Long Answer II Type Questions carrying
6 marks each
(vii) Please write down the serial number of the Question before attempting it.
QUESTION PAPER CODE 65/1/D
SECTION A
Question numbers 1 to 6 carry 1 mark each.
1. If kˆ3jˆ6iˆ2bandkˆ4–jˆiˆ7a 

, then find the projection of

bona . 1
2. Find λ , ifthe vectors kˆ3jˆλcandkˆ–jˆ–iˆ2b,kˆjˆ3iˆa 

are coplanar.. 1
3. If a line makes angles 90
o
, 60
o
and θ with x, y and z-axis respectively, where θ is
acute, thenfmd θ. 1
4. Write the element a23
ofa 3 × 3 matrixA= (aij) whose elements aij are given by
aij =
2
j–i
1
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5. Find the differentialequation representing the familyofcurves v=
r
A
+ B, where
A and B are arbitraryconstants. 1
6. Find theintegrating factorofthedifferentialequation 1
1
dy
dx
x
y
–
x
e x2–









SECTION-B
Question numbers 7 to 19 carry4 marks each.
7. IfA=










01–1
312
102
findAA
2
– 5A+ 4I and hence find a matrix X such that 4
A
2
– 5A + 4I + X = O
OR
IfA=
1–
)A(find,
122–
41–0
32–1











.
8. Iff(x) =
1axax
1–aax
01–a
2
, usingproperties ofdeterminants find thevalue of 4
f(2x) – f(x).
9. Find :   2xsinsin x
dx
4
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98
OR
Integratethefollowing w.r.t. x
2
2
x–1
13x–x 
10. Evaluate: 

–
(cos ax – sin bx)2
dx 4
11. A bag A contains 4 black and 6 red balls and bag B contains 7 black and 3 red
balls.Adie is thrown. If1 or 2 appears on it, thenbagAis chosen, otherwise bag
B. Iftwo balls are drawn at random(without replacement) fromthe selected bag,
find the probabilityofone ofthembeing red and another black. 4
OR
An unbiased coin is tossed 4 times. Find the mean and variance of the number of
heads obtained.
12. xyzyx 













jˆriˆrfind,kˆjˆiˆr 4
13. Find the distance between the point (–1, –5, –10) and the point ofintersectionofthe
line
12
2–z
4
1y
3
2–x


 and the plane x - y + z = 5. 4
14. Ifsin [cot–1
(x + 1)] = cos (tan–1
x), thenfind x. 4
OR
If (tan–1
x)
2
+ (cot–1
x)
2
=
8
5π2
, then find x.
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99
15. If y = tan–1










22
22
x–1–x1
x–1x1
, x2
< 1, then find
dx
dy
. 4
16. If x = a cos θ + b sin θ, y = a sin θ – b cos θ, show that 0y
dx
dy
x–
dx
yd
y 2
2
2
 . 4
17. The side ofan equilateraltriangle is increasing at the rate of2 cm/s.At what rate is its 4
area increasing when the side ofthe triangle is 20 cm?
18. Find :   dxx–4x–33)(x 2
4
19. Three schools A, B and C organized a mela for collecting funds for helping the
rehabilitation offlood victims. Theysold hand made fans, mats and plates from
recycled material at a cost of ` 25, ` 100 and ` 50 each. The number of articles
sold are givenbelow: 4
School A B C
Article
Hand-fans 40 25 35
Mats 50 40 50
Plates 20 30 40
Find the funds collected by each school separately by selling the above articles.
Also find the totalfunds collected for the purpose.
Write onevalue generated bytheabove situation.
SECTION-C
Question numbers 20 to 26 carry6 marks each.
20. Let N denote the set of allnaturalnumbers and R be the relation on N × N defined 6
by (a, b) R (c, d) ifad (b + c) = bc(a + d). Show that R is an equivalence relation.
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100
21. Using integrationfmdthe area ofthetriangle formed bypositivex-axis and tangent
and normal to the circle x2
+ y2
= 4 at  31, . 6
OR
Evaluate   
3
1
23x–2
1xe dxas a limit ofa sum.
22. Solve thedifferentialequation: 6
(tan–1
y – x)dy= (1 + y2
)dx.
OR
Find the particular solutionofthe differentialequation 22
yx
xy
dx
dy

 giventhat y= 1,
when x = 0.
23. Iflines
1
z
2
k–y
1
3–x
and
4
1–z
3
1y
2
1–x


 intersect, thenfind the value of
k and hence find the equationofthe plane containing these lines. 6
24. IfAand B are two independent events such that     6
1
BAPand
15
2
BAP 
then find p(A) and P(B). 6
25. Find the localmaxima andlocalminima, ofthe functionf(x) = sin x - cos x, 0 < x< 2 π.
Also findthe localmaximumandlocalminimumvalues. 6
26. Find graphically,the maximumvalue ofz = 2x + 5y, subject to constraints givenbelow:
2x + 4y < 8
3x + y < 6
x + y < 4
x > 0, y > 0 6
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101
QUESTION PAPER CODE 65/1/A
SECTION A
Question numbers 1 to 6 carry1 mark each.
1. IfA= 





θcosθsin–
θsinθcos
, then for anynatural number n, find the value of
Det (A
n
). 1
2. Find the sumofthe order andthe degree ofthefollowing differentialequation:
y = x 2
23
dx
yd
dx
dy






1
3. Find thesolutionofthe followingdifferentialequation:
    0dyx1ydxy1x 22
 1
4. In a triangle OAC, ifB is the mid-point ofsideAC and b,OBa,OA  then
what is OC ? 1
5. Find a vector ofmagnitude 171 whichis perpendicular to bothofthe vectors
kˆ2jˆ–iˆ3bandkˆ3–jˆ2iˆa 

. 1
6. Find the angle between the lines 2x = 3y = – z and 6x = – y = – 4z. 1
SECTION B
Question numbers 7 to 19 carry4 marks each.
7. There are 2familiesAand B.There are 4 men, 6womenand 2 childreninfamilyA,
and 2men, 2womenand4 childreninfamilyB. The recommended dailyamount of
calories is 2400 for men, 1900 for women, 1800 for children and 45 grams of
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102
proteins for men, 55 grams for womenand 33 grams for children. Represent the
above information using matrices. Using matrix multiplication,calculate the total
requirement ofcaloriesand proteins for eachofthe 2 families.What awareness can
you create among people about the balanced diet fromthis question ? 4
8. Evaluate:












4
π
5
1
tan2tan 1–
4
9. Using properties ofdeterminants, prove that
c2c
b2b
a2a
3
3
3
= 2 (a – b) (b – c) (c – a) (a + b + c). 4
10. Using elementaryrowoperations (transformations), find the inverseofthe following
matrix:










013
321
210
OR
,
3
2
2
C,
021
201
110
B,
087
806
760
AIf


































thencalculateAC,
BC and (A+ B) C. Also verify that (A+ B) C = AC + BC. 4
11. Discuss thecontinuityanddifferentiabilityofthe function
f(x) = | x | + | x – 1 | in the interval (–1, 2). 4
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103
12. If x = a (cos 2t + 2t sin 2t) and y = a (sin 2t – 2t cos 2t), then find 2
2
dx
yd
. 4
13. If (ax + b) ey/x
= x, thenshow that
2
2
2
3
y–
dx
dy
x
dx
yd
x 











4
14. Evaluate:
  
dx
sin xxx
xcos– xsin x
4
OR
Evaluate:
   
dx
1x1–x
x
2
3
15. Evaluate:
 
2
π
0
2
2
xsin31
dxxcos
4
16. Evaluate:
 






4
π
0
dx
2xsin3
xcosxsin
4
17. Let kˆ4jˆ–iˆ2candkˆ7jˆ2–iˆ3b,kˆ2jˆ4iˆa 

. Find a vector d which
is perpendicular to both 27dcandbanda 

. 4
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104
18. Find theshortest distance between thefollowing lines :
   kˆ4jˆ3iˆ2λkˆ3jˆ2iˆr 

   kˆ8jˆ6iˆ4μkˆ5jˆ4iˆ2r 

4
OR
Find the equation of the plane passing through the line of intersection of the
planes 2x + y – z = 3 and 5x – 3y + 4z + 9 = 0 and is parallel to the line
5–
z–5
4
3–y
2
1–x
 .
19. A man takes a step forward with probability 0·4 and backward with probability
0·6. Find the probability that at the end of 5 steps, he is one step awayfrom the
startingpoint. 4
OR
Suppose a girlthrows a die. If she gets a 1 or 2, shetosses a coin threetimes and
notes thenumber of'tails'. Ifshe gets 3, 4, 5 or 6, shetosses a coin onceand notes
whether a 'head' or 'tail' is obtained. If she obtained exactly one 'tail', what is the
probabilitythat she threw 3, 4, 5 or 6 withthe die?
SECTION C
Question numbers 20 to 26 carry6 marks each.
20. Determine whether the relation R defined on the setofallrealnumbers as R =
{(a, b) : a, b  and a – b+ 3 S, where S is the set ofallirrationalnumbers},
is reflexive,symmetric and transitive. 6
OR
Let A= ×and * be the binary operationonAdefined by(a, b) * (c, d) = (a +
c, b+ d). Prove that * is commutative and associative. Find the identityelement for
* onA.Also write the inverse element oftheelement (3, – 5) inA.
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105
21. Tangent to the circle x2
+ y2
= 4 at any point on it in the first quadrant makes
intercepts OAand OB on x and y axes respectively, O being the centre of the
circle. Findthe minimumvalue of(OA+ OB). 6
22. If the area bounded by the parabola y2
= 16axand the line y = 4mx is
12
a2
sq.
units, thenusing integration, findthevalueofm. 6
23. Show that the differentialequation (x– y)
dx
dy
= x + 2yis homogeneous and
solve it also. 6
OR
Find the differentialequation ofthe familyof curves(x – h)
2
+ (y – k)
2
= r
2
, where
h and k are arbitraryconstants.
24. Find theequation ofa plane passing through the point P(6, 5, 9) andparallelto the
plane determined bythe pointsA(3, –1, 2), B(5, 2, 4) and C(–l, –1,6).Also find
the distance ofthis plane fromthe pointA. 6
25. An urn contains 5 red and 2 black balls. Two balls are randomly drawn, without
replacement.'Let Xrepresent thenumberofblackballsdrawn.What arethepossible
values ofX? Is X a random variable? If yes, find the meanand variance ofX. 6
26. Solve the. followinglinear programming problemgraphically.
Minimise z = 3x + 5y
subject to the constraints
x + 2y > 10
x + y > 6
3x + y > 8
x,y > 0. 6
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106
QUESTION PAPER CODE 65/1/B
SECTION A
Question numbers 1 to 6 carry1 mark each.
1. Find thevalue of(x+y) fromthe following matrix equation:


















1415
67
21
4–3
3–7
5
2
y
x
1
2. Find the sumofthe degree andthe order for thefollowing differentialequation: 1
0
dx
yd
dx
d
4
2
2















3. Findthe integratingfactor ofthe followingdifferentialequation:
x log x
dx
dy
+ y = 2 log x 1
4. The vectors kˆyjˆiˆ2bandjˆxiˆ3a 

aremutuallyperpendicular. If
|b||a|

 , thenfind the value ofy.. 1
5. If |a|

= a,thenfind the value ofthe following:
222
|kˆa||jˆa||iˆa| 

1
6. Find the angle θ , betweenthe line
4
4–z
5
3–y
3
2–x
 and the plane
2x – 2y + z – 5 = 0. 1
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107
SECTION B
Question numbers 7 to 19 carry4 marks each.
7. Atrust caring forhandicapped childrengets `30,000everymonthfromits donors.
The trust spendshalfofthe funds received for medicaland educationalcare ofthe
childrenandfor that it charges2% ofthe spent amount fromthem, anddeposits the
balance amount in a private bank to get the moneymultiplied so that infuture the
trust goes on functioning regularly. What percent of interest should the trust get
fromthe bank to get a totalof ` 1,800 everymonth?
Use matrixmethod, to find the rate ofinterest. Do you thinkpeople should donate
to such trusts? 4
8. Find the valueofx, if
sin [cot–l
(x + 1)] = cos (tan–l
x),
OR
Provethefollowing :
2 sin–l
5
3
– tan–l
4
π
31
17
 4
9. If a + b + c
bac
acb
cba
and0 = 0, thenusmg properties ofdeterminants, prove
that a = b = c. 4
10. IfA=










120
352
01–1
, findAA
-1
using elementaryrow transformations. 4
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108
11. Let f(x) = x – | x – x2
| x  [– 1, 1]. Find the point ofdiscontinuity, (ifany), ofthis
functionon[–1, 1]. 4
12. Ify = log
x
bxa
x







, provethat x3
2
2
2
y–
dx
dy
x
dx
yd






 . 4
13. Find the derivative ofsec–1
2
1
xatx–1w.r.t.
1–2x
1 2
2






. 4
14. Evaluate:
 






2
π
0
dx
xcs
xcos3xsin5
osxin
4
OR
Find:
  





 dx
xlog
1
xloglog 2
15. Find:
  xtanx1
dxx
4
16. Find:
   
dx
1x1–x
x
2
4
4
17. Find a unit vector perpendicular to theplane oftriangleABC, where the coordinates
of its vertices areA(3, – 1, 2), B(l, – 1, – 3) and C(4, – 3, 1). 4
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109
18. Find the shortest distance between thelines x + 1 = 2y = – 12z and
x = y + 2 = 6z - 6. 4
OR
From the point P(a, b, c), perpendiculars PL and PM are drawn to YZ and
ZX planes respectively. Find the equation ofthe plane OLM.
19. In 3 trials ofabinomialdistribution, theprobabilityofexactly2 successes is 9 times
the probabilityof3 successes. Find the probability ofsuccess in each trial. 4
OR
An urn contains 3 red and 5 black balls.Aball is drawn at random, its colour is
noted and returned to the urn. Moreover, 2 additional balls of the colour noted
down,areputintheurnandthentwoballsaredrawnatrandom(withoutreplacement)
fromthe urn. Find the probabilitythat both the balls drawn areofred colour.
SECTIONC
Question numbers 20 to 26 carry6 marks each.
20. On the set {0, 1, 2, 3, 4, 5, 6}, a binary operation * is defined as :
a * b =





7baif7,–ba
7baifb,a
Write theoperation table ofthe operation * and prove that zero is the identityfor
this operation and eachelement a  0 of the set is invertible with 7 - a being the
inverse ofa. 6
21. Find the maximumarea ofanisosceles triangle inscribed inthe ellipse 1
9
y
16
x 22

with its vertexat one end ofthe major axis. 6
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22. Find the area ofthe region {(x, y) : x2
+ y2
< 4, x+ y > 2}, using the method of
integration. 6
23. (x2
+ y2
) dy = xy dx, If y (1) = 1 and y (x0
) = e, then find the value of x0
. 6
OR
Find theparticular solutionofthedifferentialequation
y
dx
dy
 tan x = 3x2
+ x3
tan x, x 
2
π
, given that y = 0 when x =
3
π
.
24. Find the coordinates ofthe point where the line throughthe pointsA(3, 4, 1) and
B(5, 1, 6) crosses the plane determined by the points P(2, 1, 2), Q(3, 1, 0) and
R(4, - 2, 1). 6
25. Suppose a boy throws a die. If he gets a 1 or 2, he tosses a coin three times and
notes downthe number ofheads. Ifhe gets 3, 4, 5 or 6 he tosses the coinonce and
notes down whether a head or a tailis obtained. Ifhe obtains exactlyone head,
what is the probabilitythat he obtained3, 4, 5, or 6 with the die? 6
OR
A manis known to speaktruth3 out of5 times. He throws a die and reportsthat it
is 4. Find the probabilitythat it is actuallya 4.
26. A dealer in a ruralareawishes to purchase some sewing machines. He has only`
57,600 to invest and has space for at most 20 items.Anelectronic machine costs
him`3,600andamanuallyoperatedmachinecosts`2,400.Hecansellanelectronic
machine at aprofit of` 220 and a manuallyoperated machine at a profit of` 180.
Assuming that he can sell all the machines that he buys, how should he invest his
moneyinorder to maximize his profit? Make it as a LPPand solve it graphically. 6
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QUESTION PAPER CODE 65/1/C
SECTION A
Question numbers 1 to 6 carry 1 mark each.
1. If .|ba|findthen,kˆ2–jˆ5iˆ3band,kˆ3jˆiˆ2a

 1
2. Find the angle between the vectors kˆ–jˆandjˆ–iˆ . 1
3. Find the distance of a point (2, 5, - 3) fromthe plane
  .4kˆ2jˆ3–iˆ6r 

1
4. Write the element a12
ofthe matrixA= [aij
]2×2
, whose elements aij
are givenby
aij
= e2ix
sin jx. 1
5. Find thedifferentialequationofthefamilyoflines passingthroughthe origin. 1
6. Findthe integratingfactor forthe followingdifferentialequation:
x log x
dx
dy
+ y = 2 log x 1
SECTIONB
Question numbers 7 to 19 carry4 marks each.
7. IfA=










122
212
221
, then show that AA
2
– 4A– 5I = O, and hence findA
–1
. 4
OR
IfA=










310
015
1–02
, thenfindAA
–1
using elementaryrow operations.
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8. Using the properties ofdeterminants, solve the following for x:
0
6x2x1–x
2x1–x6x
1–x6x2x














4
9. Evaluate:
 
2
π
0
2
dx
xcosxsin
xsin
4
OR
Evaluate 
2
1–
(e3x
+ 7x- 5) dx as a limit ofsums.
10. Evaluate:
 
dx
2–xx
x
24
2
4
11. In a set of 10 coins, 2 coins are with heads on both the sides.Acoin is selected at
randomfromthis set and tossedfive times.Ifallthe five times, theresult washeads,
find the probabilitythat the selected coin had heads onboth the sides. 4
OR
How manytimes must a faircoinbe tossed so that the probabilityofgetting at least
one head is more than 80% ?
12. Find xsuch that the four pointsA(4, 1, 2), B(5, x, 6), C(5, 1, – 1) and D(7, 4, 0)
are coplanar. 4
13. Aline passing through thepointAwith positionvector kˆ2jˆ2iˆ4a 

is
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parallelto the vector kˆ6jˆ3iˆ2b 

. Findthe length ofthe perpendicular
drawn onthis line froma point P withpositionvector kˆ3jˆ2iˆr1 

. 4
14. Solve the followingfor x:
sin–1
(1 – x) – 2 sin–1
x =
2
π
4
OR
Showthat:
2 sin–1






5
3
– tan–1
4
π
31
17






15. If y = eax
. cos bx, then prove that
dx
dy
2a–
dx
yd
2
2
+ (a2
+ b2
) y = 0 4
16. If xx
+ xy
+ yx
= ab
, then find
dx
dy
. 4
17. If x = a sin 2t (1 + cos 2t) and y = b cos 2t (1 – cos 2t), then find
dx
dy
at
t =
4
π
. 4
18. Evaluate:
 

dx
5)(x
e3)(x
3
x
4
19. Three schools X,Y and Z 'organized a fete (mela) for collecting funds for flood
victimsinwhichtheysoldhand-heldfans,matsandtoysmadefromrecycledmaterial,
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114
the sale priceofeach being ` 25, ` 100 and ` 50 respectively.The following table
shows thenumber ofarticles ofeachtype sold: 4
School
Article X Y Z
Hand-held fans 30 40 35
Mats 12 15 20
Toys 70 55 75
Using matrices, findthe funds collected byeachschoolbysellingthe above articles
and the total funds collected. Also write anyone value generated by the above
situation.
SECTION C
Question numbers 20 to 26 carry6 marks each.
20. Let A = Q x Q, where Q is the set of all rational numbers, and * be a binary
operation onAdefined by (a, b) * (c, d) = (ac, b + ad) for (a, b), (c, d)  A. Then
find
(i) The identityelement of* inA.
(ii) Invertible elements ofA, and hence writethe inverse ofelements (5, 3) and






4,
2
1
. 6
OR
Let f : W  W be defined as
f(n) =



 eveninnif1,n
oddisnif1,–n
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115
Show that fis invertible and find the inverse of f. Here, W is the set of all whole
numbers.
21. Sketch the region bounded bythe curves y = 2
x–5 and y= | x – 1 | and find
itsareausing integration. 6
22. Find theparticular solutionofthedifferentialequation
x2
dy = (2xy + y2
) dx, given that y = 1 when x = 1. 6
OR
Find theparticular solutionofthedifferentialequation
(1 + x2
)
dx
dy
= (em tan–1 x
– y), given that y = 1 when x = 0.
23. Find the absolutemaximumand absolute mimmumvalues ofthe functionfgivenby
f(x) = sin2
x – cos x, x π][0, . 6
24. Show that the lines :
 kˆjˆ–iˆλkˆjˆiˆr 

 kˆ3jˆ–iˆ2μkˆ2jˆ4r 

are coplanar..
Also, find the equationofthe planecontaining these lines. 6
25. Minimise and maximisez = 5x+ 2ysubject to thefollowing constraints :
x – 2y < 2
3x + 2y < 12
– 3x + 2y < 3
x > 0, y > 0 6
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116
26. Two numbers are selected at random(without replacement) fromfirst sixpositive
integers. Let Xdenote the larger ofthe two numbers obtained.Find the probability
distributionofX.Find themeanand variance ofthis distribution. 6
QUESTION PAPER CODE 65/1/G
SECTION A
Question numbers 1 to 6 carry 1 mark each.
1. IfA= 





23
42
and B = 





43
52–
then find (3A– B). 1
2. Find the differentialequation representing the curve y= e–x
+ ax + b, where a and
b are arbitraryconstants. 1
3. Write thesumofthe order and the degree ofthe differentialequation
22
2
2
dx
dy
–
dx
yd












= y3
. 1
4. Find the value of a + b, if the points (2, a, 3), (3, – 5, b) and (–1, 11, 9) are
collinear. 1
5. Find the value of |b|10,|a|if,ba

 = 2 and |ba|

 = 16. 1
6. Find the distance between the parallelplanes
    27.kˆ6–jˆ3–iˆ6rand6kˆ2–jˆ–iˆ2r 

1
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SECTION B
Question numbers 7 to 19 carry 4 mark each.
7. Provethefollowing :
sin 


















2
2
1–
2
1–
x1
x–1
cos
2x
x–1
tan = 1, 0 < x < 1. 4
OR
If
4
π
6x
5x
tan
6–x
5–x
tan 1–1–














, thenfind the value ofx.
8. Using the propertiesofdeterminants prove that:
22
22
22
b–a–12a–2b
2aba12ab
2b–2abb–a1


= (1 + a2
+ b2
)
3
4
9. For the matrixA=










21–1
1–21–
11–2
, show that AA
2
– 5A+ 4I = O.
Hence findA-l
. 4
OR
Using elementarytransformations,find the inverseofthefollowing matrix:










013
321
210
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118
10. Examine the following function f(x) for continuityat x= 1 and differentiabilityat
x = 2.
f (x) =








2x,43x
2x1,3x–4x
1x0,4–5x
2
4
11. If y = x3
log 





x
1
, then prove that x
2
2
2
3x
dx
dy
2–
dx
yd
 = 0. 4
OR
Verify mean value theorem for the function f(x) = (x – 4) (x – 6) (x – 8) on the
interval[4, 10].
12. If
y–x
a
log
y–x
x
 , then prove that
y
x
–2
dx
dy
 . 4
13. find:
  3/553
1)(xx
dx
4
14. Evaluate:

4
2
{ | x – 2 | + | x – 3 | + | x – 4 | }dx 4
OR
Evaluate:
 
4
π
0
2
dx
xsin21
xsec
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119
15. Evaluate:
 




2
π
4
π
2x
dx
2xcos–1
2xsin–1
e 4
16. Show that the fourpoints withposition vectors ,kˆ21jˆ8iˆ4  ,kˆ6jˆ4iˆ2 
kˆ5jˆ8iˆ5andkˆ4jˆ5iˆ3  are coplanar.. 4
17. Bag I contains 4 red and 5 black balls and bag II contains 3 red and 4 black balls.
One ballis transferred frombag Ito bag II andthen two balls are drawnat random
(without replacement) frombag II. The balls so drawn are bothfound to be black.
Find the probabilitythat the transferred ballis black. 4
18. Find the vector and cartesian equations ofa line throughthe point (1, –1, 1) and
perpendicular to the lines joining the points (4, 3, 2), (1, -1, 0) and (1, 2, -1),
(2, 1, 1). 4
19. Three schoolsA, Band C want to award their selected students for the values of
Honesty, Regularity and Hard work. Each school decided to award a sum of
` 2,500, ` 3,100, ` 5,100 per student for the respective values. The number of
students to be awarded bythe three schools is given below in the table :
School
Values A B Z
Honesty 3 4 6
Regularity 4 5 2
Hard work 6 3 4
Find the totalmoneygiveninawardsbythethree schoolsseparately, usingmatrices.
Apart fromtheabove givenvalues, suggest one more value whichshould be con-
sidered forgiving award. 4
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SECTION C
Question numbers 20 to 26 carry6 marks each.
20. Check whether the operation * defined onthe set A= R x R as
(a, b) * (c, d) = (a + c, b + d)
is a binaryoperation or not, where R is the set ofallrealnumbers. Ifit is a binary
operation, is it commutative and associative too ?Also find the identityelement
of*. 6
OR
LetA= { -1, 0, 1, 2}, B = { - 4, - 2,0, 2} and f, g :A  B be functions defined by
f(x) = x2
- x, x  Aand g(x) = 2 |
2
1
–x| – 1, x  A. Find gof(x) and hence show
that f= g = gof.
21. Find the equations ofthe tangent and the normalto the curve y=
3)–(x2)–(x
7–x
at the point where it cuts the x-axis. 6
OR
Find the absolutemaximumandabsolute minimumvalues ofthe functionfgivenby
f(x) = cos2
x + sin x, x  π][0, .
22. Using integration, find the area of the region bounded by the line y – 1 = x, the
x-axis and the ordinates x = - 2 and x = 3. 6
23. Find the particularsolution ofthe differentialequation(y– sin x)dx + (tan x) dy= 0
satisfying the conditionthat y= 0 whenx = 0. 6
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121
24. Find the value ofk forwhichthe following linesare perpendicular to eachother :
5
z
k–
y–2
1–
2x
;
1–2k–
z–5
1
1–y
5–k
3x




Hence find the equation ofthe plane containingthe above lines. 6
25. The standardweight ofa specialpurpose brick is 5kg and it must containtwo basic
ingredients Bl
and B2
. Bl
costs ` 5 per kg and B2
costs ` 8 per kg. Strength
considerations dictate that the brick should contain not more than4 kg ofBl
and
minimum2 kg ofB2
. Since the demand for the product is likelyto be related to the
price ofthebrick, find the minimumcost ofbrick satisfying the above conditions.
Formulate this situationas an LPPandsolve it graphically. 6
26. An unbiased coinis tossed 'n' times. Let the randomvariable X denote the number
oftimes the head occurs. If P(X =1), P(X = 2) and P(X = 3) are inAP, find the
value ofn. 6
QUESTION PAPER CODE 65/1/P
SECTION A
Question numbers 1 to 6 carry 1 mark each.
1. IfA= 





2–5
32
, thenwriteAA
–1
. 1
2. Find the differentialequation representing the curve y= cx+ c2
. 1
3. Write theintegratingfactorofthe followingdifferentialequation:
(1 + y2
) dx – (tan–1
y – x) dy = 0 1
4. Write the value of ).ab(a

 1
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122
5. If kˆ3jˆ4–iˆ5candkˆjˆiˆ2b,kˆ–jˆ2iˆa 

, then findthe value of

 c)ba( . 1
6. Writethedirectionratios ofthefollowing line:
x = – 3,
1
z–2
3
4–y
 1
SECTION B
Question numbers 7 to 19 carry4 marks each.
7. To raise moneyfor anorphanage, students of three schoolsA, Band C organised
an exhibitionin their locality, where theysold paper bags, scrap-books and pastel
sheets made bythemusing recycledpaper, at the rate of`20, ` 15 and ` 5 per unit
respectively. SchoolAsold 25 paper bags, 12 scrap-books and 34 pastel sheets.
School B sold 22 paper bags, 15 scrap-books and 28 pastelsheets while School
C sold 26 paper bags, 18 scrap-books and 36 pastel sheets. Using matrices, find
the totalamount raised byeach school.
Bysuch exhibition,whichvalues are generated inthe students? 4
8. Prove that:
2 tan–1
















 xcosba
bxcosa
cos
2
x
tan
ba
b–a 1–
4
OR
Solve the followingfor x:
tan–1 1.|x|,
4
π
3x
2x
tan
3–x
2–x 1–














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123
9. IfA=










01–1
312
102
, find AA
2
– 5 A+ 16 I. 4
10. Using theproperties ofdetenninants, provethe following:
1)–(x1)x(x2)–(x1)–x(xx)–3x(1
1)x(x1)–x(x2x
1xx1



= 6x2
(1 – x2
). 4
11. If x = α sin 2t (1 + cos 2t) and y = β cos 2t (1 – cos 2t), show that
α
β
dx
dy
 tan t. 4
12. Find






 1–
1–
1–
xx
x–x
cos
dx
d
4
13. Find the derivative ofthe following functionf(x) w.r.t. x, at x= 1 :
cos–1 




 
2
x1
sin + xx
4
14. Evaluate:
 
2
π
0
xcosxsin
xsin
dx
22
2
4
OR
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124
Evaluate:

2
3
0
| x . cos ( πx) | dx
15. Evaluate:
   dxtanxcot 4
16. Find
 
dx
xx
1–x
3
3
4
17. Show that four pointsA, B, C and D whose positionvectors are ,kˆjˆ5iˆ4 
 kˆjˆiˆ–4andkˆ4jˆ9iˆ3,kˆ–jˆ–  respectivelyare coplanar.. 4
18. Show that the following two linesare coplanar:
δα
d–a–z
α
a–y
δ–α
da–x



and
γβ
c–b–z
β
b–y
γ–β
cb–x



4
OR
Find the acute anglebetween the plane 5x – 4y+ 7z – 13 = 0 and the y-axis.
19. A and B throw a die alternativelytillone ofthemgets a numbergreater thanfour
and winsthe game. IfAstarts the game, what is the probabilityofB winning? 4
OR
Adie is thrown three times. EventsAand B are defined as below :
A: 5 on the first and 6 on the second throw.
B : 3 or 4 onthe third throw.
Find the probabilityofB, given thatAhas alreadyoccurred.
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125
SECTION C
Question numbers 20 to 26 carry6 marks each.
20. If the function f : R  R be defined by f(x) = 2x – 3 and g : R  R by g(x) =
x3
+ 5, thenfind the value of(fog)–1
(x). 6
OR
Let A = Q x Q, where Q is the set of all rational numbers, and * be a binary
operation defined onAby
(a, b) * (c, d) = (ac, b + ad), for all (a, b) (c, d)  A.
Find
(i) the identityelement inA.
(ii) the invertibleelement ofA.
21. Ifthe function f(x) = 2x3
- 9mx2
+ 12m2
x + 1, where m> 0 attains its maximum
and minimumat p and q respectivelysuch that p2
= q, then find the value ofm. 6
22. Using integration, find the area of the region bounded by the lines y= 2 + x,
y = 2 – x and x = 2. 6
23. Find the differentialequation for allthestraight lines, whichare at a unit distance
fromtheorigin. 6
OR
Show that the differential equation 2xy
dx
dy
= x2
+ 3y2
is homogeneous and solve
it.
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126
24. Find the directionratios ofthe normalto the plane, whichpassesthroughthe points
(1, 0, 0) and (0, 1, 0) and makes angle
4
π
with the plane x + y = 3.Also find the
equation ofthe plane. 6
25. 40% students ofa college reside in hostelandthe remaining reside outside.At the
end ofthe year, 50% ofthe hostelers gotAgrade while fromoutsidestudents, only
30% gotAgrade inthe examination.At the end ofthe year, a student ofthe college
was chosenat randomandwasfoundto havegottenAgrade.What istheprobability
that the selected student was a hosteler? 6
26. Thepostmasterofalocalpost officewishesto hireextrahelpersduringtheDeepawali
season, because of a large increase in the volume of mail handling and delivery.
Because ofthe limited office space and the budgetary conditions, the number of
temporaryhelpers must not exceed 10.According to past experience, a man can
handle 300 letters and 80 packages per day, on the average, and a woman can
handle 400 letters and 50 packets per day. The postmaster believes that the daily
volume ofextra mailand packages willbe no less than 3400 and 680 respectively.
Aman receives ` 225 a dayand a woman receives ` 200 a day. How many men
and women helpers should be hired to keep the pay-rollat a minimum? Formulate
an LPPandsolve it graphically. 6
QUESTION PAPER CODE 65/1/RU
SECTION A
Question numbers 1 to 6 carry 1 mark each.
1. Write the value of
3–3–3–
yxz
xzzyyx 
 . 1
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127
2. Write the sumofthe order and degreeofthe followingdifferentialequation:
0
dx
dy
dx
d
3















1
3. Write theintegratingfactor ofthefollowing differentialequation:
(1 + y2
) + (2xy – cot y)
dx
dy
= 0 1
4. If

candb,a are mutuallyperpendicular unit vectors, then find the value of
|cba2|

 . 1
5. Write a unit vector perpendicular to both the vectors kˆjˆiˆa 

and
jˆiˆb 

.
6. The equations of a line are 5x – 3 = 15y+ 7 = 3 – 10z, Write the direction cosines
ofthe line. 1
SECTION B
Question numbers 7 to 19 carry4 marks each.
7. To promote the making of toilets for women, an organisation tried to generate
awareness through(i) house calls (ii)letters, and (iii) announcements. The cost for
each mode per attempt is givenbelow:
(i) ` 50
(ii) ` 20
(iii) ` 40
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128
The number ofattempts made in three villages X,Y, and Zare givenbelow:
(i) (ii) (iii)
X 400 300 100
Y 300 250 75
Z 500 400 150
Find the total cost incurred bythe organisation for the three villages separately,
usingmatrices.
Write one valuegenerated bythe organisationinthe society. 4
8. Solvefor x:
tan–1
(x + 1) + tan–1
(x –1) = tan–1
31
8
4
OR
Provethefollowing:





 





 





 
x–z
1zx
cot
z–y
1yz
cot
y–x
1xy
cot 1–1–1–
= 0
(0 < xy, yx, zx < 1).
9. Using properties ofdeterminants,prove the following:
22
22
22
cbcbab
acbaba
cacbca



= 4 a2
b2
c2
. 4
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129
10. Find the adjoint ofthe matrixA=










12–2
2–12
2–2–1–
and hence show that
A . (adjA) = | A| I3
. 4
11. Show that the function f(x) = | x – 1 | + | x + 1 |, for all x  , is not differentiable
at the points x = – 1 and x = 1. 4
12. If y = em sin–1 x
, then show that (1 – x2
)
dx
dy
x–
dx
yd
2
2
– m2
y = 0. 4
13. If f(x) =
1x
1x
g(x);1x 2
2


 ; and h(x) = 2x– 3, thenfind  ](x)gh[f  . 4
14. Evaluate:
 (3 – 2x) . 2
x–x2  dx 4
OR
Evaluate:
 

dx
)2(x)1(x
1x
2
2
x
15. Find :

4
π
0
3
2xsin2xcos
dx
4
16. Find :
 
dx
1)(x
xlog
2 4
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130
17. If kˆ5–jˆ4–iˆ3candjˆiˆ2b,kˆjˆ2iˆa 

, then find a unit vector perpendi-
cular to bothofthe vectors )b–c(and)b–a(

. 4
18. Find theequationofa linepassing throughthe point (1, 2, - 4)and perpendicular to
two lines    kˆ7jˆ16–iˆ3λ,kˆ10jˆ19–iˆ8r 

and  kˆ5jˆ29iˆ15r 

 kˆ5–jˆ8iˆ3μ  . 4
OR
Find the equation of the plane passing through the points (-1, 2, 0), (2, 2, -1) and
parallelto the line
1–
1z
2
12y
1
1–x 


 .
19. Three cards are drawn successivelywithreplacement froma wellshuflled pack of
52 cards. Find the probabilitydistributionofthe number ofspades. Hence find the
meanofthedistribution. 4
OR
For 6trials ofanexperiment, let X be abinomialvariate whichsatisfiesthe relation
9P(X = 4) = P(X = 2). Find the probabilityof success.
SECTION C
Question numbers 20 to 26 carry6 marks each.
20. Consider f:   ,9– given byf(x) = 5x2
+ 6x – 9. Prove that fis invertible
with f–1
(y) = 






 
5
3–5y54
. 6
OR
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131
A binary operation * is defined on the set X = R – { – 1 } by
x * y = x + y + xy, Xyx,  .
Check whether* is commutative andassociative. Find its identityelement and also
find theinverse ofeachelement ofX.
21. Find the value of p for when the curves x2
= 9p (9 – y) and x2
= p (y + 1) cut each
other at right angles. 6
22. Using integration, prove that the curves y2
= 4x and x2
= 4ydivide the area ofthe
square bounded by x = 0, x = 4, y = 4, and y = 0 into three equal parts. 6
23. Show that thedifferentialequation 2
2
x–xy
y
dx
dy
 is homogeneous and also solve
it. 6
OR
Find the particular solution ofthe differentialequation (tan–1
y– x) dy= (1 + y2
)
dx, given that x = 1 when y= 0.
24. Find the distanceofthe point P(3, 4, 4) fromthe point, where the line joining the
pointsA(3, – 4, – 5) and B(2, – 3, 1) intersects the plane 2x + y + z = 7. 6
25. Acompanymanufactures three kinds ofcalculators :A, Band C initstwo factories
I and II.The companyhas got anorder for manufacturing at least 6400 calculators
ofkindA, 4000 ofkind B and 4800 ofkind C. The dailyoutput offactoryI is of50
calculators ofkindA, 50 calculators ofkind B, and 30 calculators ofkind C. The
dailyoutput offactoryII is of40 calculators ofkindA, 20 ofkind Band 40 ofkind
C. The cost per dayto runfactoryI is ` 12,000 and offactoryII is `15,000. How
manydays do the two factories have to be inoperation to produce the order with
the minimumcost ? Formulate this problemas an LPPand solve it graphically. 6
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132
26. Inafactorywhichmanufacturesbolts,machinesA,BandCmanufacturerespectively
30%, 50% and 20% of the bolts. Of their outputs 3, 4 and 1 percent respectively
are defectivebolts.Abolts isdrawn at randomfromthe product and is found to be
defective. Findthe probabilitythat thisis not manufactured bymachine B. 6
QUESTION PAPER CODE 65/1/MT
SECTION A
Question numbers 1 to 6 carry 1 mark each.
1. Write a 3 × 3 skewsymmetric matrix. 1
2. Find theproduct ofthe orderand degree ofthefollowing differentialequation:
0y
dx
dy
dx
yd
x 2
22
2
2












1
3. Write a differential equation for y =Acos α x + B sin αx, whereA and B are
arbitraryconstants. 1
4. Write the projectionofvector kˆ–jˆ3iˆ2  along the vector jˆiˆ  . 1
5. Write the value of      jˆiˆkˆiˆkˆjˆkˆjˆiˆ  1
6. Write the direction cosines ofthe normal to the plane3x + 4y+ 12z = 52. 1
SECTION B
Question numbers 7 to 19 carry4 marks each.
7. There are 3 familiesA, Band C. The number ofmen, womenand childrenin these
families areas under:
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133
Men Women Children
FamilyA 2 3 1
FamilyB 2 1 3
FamilyC 4 2 6
Dailyexpensesofmen,womenandchildrenare `200, ` 150and`200 respectively.
Onlymenandwomenearnandchildrendo not.Usingmatrixmultiplication, calculate
the dailyexpenses of each family. What impact does more children in the family
create onthe society? 4
8. If tan–1
x + tan–1
y + tan–1
z =
2
π
, x, y, z, > 0, then find the value ofxy + yz + zx. 4
9. Ifa  b  c and
bac
acb
cba
= 0, then using propertiesofdeterminants, prove
that a + b + c = 0. 4
10. If X 











642
9–8–7–
654
321
, thenfind the matrix X. 4
OR
Find the inverse ofmatrixA=










22–5
5–615–
11–3
and hence show that AA
–1
.A= 1.
11. Iffunction f(x) = | x – 3 | + | x – 4 |, then show that f(x) is not differentiable at x = 3
and x = 4. 4
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134
12. If y =
2x
e
x

, find
dx
dy
. 4
OR
Iflog 






y
x
tanyx 1–22
, thenshow that
xy
x–y
dx
dy

 .
13. If y = 1–x–1x  , prove that (x2
– 1)
4
1
–
dx
dy
x
dx
yd
2
2
 y = 0. 4
14. Find:
 
dx
x)cos(1xcos
xcos–1
4
15. Evaluate:
  dxxsinx –1
4
16. Find 
2
0
(x2
+ e2x+1
) dx as the limit of a sum. 4
OR
Evaluate:
 
π
0
dx
xcosecxsec
xtanx
17. Show that the lines
1–
1–y
3
1–x
 , z + 1 = 0 and
3
1z
2
4–x 
 , y = 0 intersect
each other.Also find their point ofintersection. 4
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135
18. Let P(3, 2, 6) be a point inthe space and Q be a point on the line  

kˆ2jˆ–iˆr
 kˆ5jˆiˆ3–μ  thenfindthe value of μ forwhichthe vector PQ isparallelto the
plane x - 4y + 3z = 1. 4
OR
Find the vector and cartesianequations ofthe plane which bisects the line joining
the points (3, - 2, 1) and (1, 4, - 3) at right angles.
19. Froma set of 100 cards numbered 1 to 100, one card is drawnat random. Find
the probabilitythat the number on the card is divisible by6 or 8, but not by 24. 4
SECTION C
Question numbers 20 to 26 carry6 marks each.
20. Show that the relation R in the set A= {I, 2, 3, 4, 5} givenby R = {(a, b) : | a – b |
is divisible by2 } is anequivalence relation. Show that allthe elements of{1, 3, 5}
are related to eachother and allthe elements of{2,4} are related to eachother, but
no element of{1, 3, 5} is related to any element of {2, 4}. 6
21. Using integration, find the area bounded by the curves y= | x – 1 | and y= 3 – | x |. 6
22. Find the point on the curve 2
x1
x
y

 , where the tangent to the curve hasthe
greatest slope. 6
23. Find thegeneralsolutionofthedifferentialequation 2
2
x–xy
y
dx
dy
 . 6
OR
Solve the following differentialequation, given that y= 0, whenx =
4
π
:
sin 2x
dx
dy
– y = tan x
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136
24. Find the vector and cartesian equations of the plane passing through the
intersection of the planes  kˆjˆiˆr 

= 6 and  kˆ4jˆ3iˆ2r 

= – 5 and the
point (1, 1, 1). 6
25. Assume that the chancesofapatient having a heart attack is40%. It is also assumed
that a meditation and yoga coursereduces the risk ofheart attack by30%and the
prescription ofa certain drug reduces its chance by 25%.At a time apatient can
choose anyone of the two options with equal probabilities. It is given that after
going throughone ofthe two optionsthe patient selected at randomsuffers a heart
attack. Find the probabilitythat the patient followed a courseof meditation and
yoga. 6
26. Adealer deals in two items only-itemAand itemB.He has `50,000 to invest and
a space to store at most 60 items.An itemAcosts ` 2,500 and anitem B costs `
500.Anet profit to himon itemAis ` 500 and on itemB ` 150.Ifhe cansellallthe
items that hepurchases, how should heinvest his amount to have maximumprofit?
Formulate anLPPand solve it graphically. 6
OR
Adieticianwants to develop a specialdiet using two foods X andY. Eachpacket
(contains 30 g) offood X contains 12 units of calcium, 4 units of iron, 6 units of
cholesterol and 6 units of vitaminA. Each packet ofthe same quantityoffoodY
contains 3 units of calcium, 20 units of iron, 4 units of cholesteroland 3 units of
vitaminA.The diet requires at least 240 units ofcalcium, at least 460 units ofiron
and at most 300 units ofcholesterol. Make an LPP to fmd how manypackets of
eachfoodshould be used to minimise the amount ofvitaminAinthediet, and solve
it graphically.
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137
Senior School Certificate Examination
March — 2015
Marking Scheme ---- Mathematics
General Instructions :
1. TheMarkingSchemeprovides generalguidelinesto reduce subjectivityinthemarking. The
answersgivenintheMarkingSchemearesuggestive answers.Thecontentis thusindicative.
Ifa student hasgivenanyotheranswer whichis different fromthe one giveninthe Marking
Scheme, but conveys the meaning, suchanswers should be givenfullweightage.
2. Evaluation is to be done as per instructions provided inthe marking scheme. It should not
be done according to one's own interpretation or any other consideration __ Marking
Scheme shouldbe strictlyadhered to and religiouslyfollowed.
3. Alternative methods are accepted. Proportionalmarks are to be awarded.
4. Inquestion(s)ondifferentialequations, constant ofintegrationhasto be written.
5. If a candidate has attempted an extra question, marks obtained in the question attempted
first should be retained and the other answer should be scored out.
6. A full scale of marks - 0 to 100 has to be used. Please do not hesitate to award full
marks if the answer deserves it.
7. Separate Marking Scheme for allthe three sets has been given.
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138
QUESTION PAPER CODE 65/1/D
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1. 7
8
b
ba
p 



 ½ + ½ m
2. 7λ0
3λ0
112
131
 ½ + ½ m
3.
6
π
θ1θcos
3
πcos
2
πcos 222
 ½ + ½ m
4.
2
1
2
32
a23 

 ½ + ½ m
5. 0
dr
dv
r2
dr
vd
r,
r
A
dr
dv
2
2
2
2
 ½ + ½ m
6. x2
dx
x
1
eeFI. 

 ½ + ½ m
SECTION - B
7. GettingA
2
=













210
529
215
1½ m







































400
000
004
055
15510
5010
2–10
529
215
I45AA2
1 m
Marks
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139














245
1031
311
1 m












245
1031
311
X
½ m
OR













143
212
201
A
1 m
    011095291A  ½ m













145
278
289
AAdj
2 m
 














145
278
289
A
1
½ m
8. f (x) =
aaxax
1aax
01a
2


R
2
 R
2
– x R
1
and R
3
 R
3
– x
2
R
1
f (x) =
axax0
1xa0
01a
2



(For bringing 2 zeroes in any row/column 1+1 m
 f (x) = a (a
2
+ 2ax + x
2
) = a (x + a)
2
1 m
 f (2x) – f (x) = a [2x + a]
2
– a (x + a)
2
= a x (3x + 2a) 1 m
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140
9.         




 x2cos1xcos1xcos1
dxxsin
xcos21xsin
dx
2xsinxsin
dx
1 m
      

2t1t1t1
dt
– where cos x = t ½ m
 













 dt
2t1
3
4
t1
2
1
t1
6
1
1½ m
c2t1log
3
2
t1log
2
1
t1log
6
1
 ½ m
cxcos21log
3
2
xcos1log
2
1
xcos1log
6
1
 ½ m
OR
 
 




dx
x1
x13x2
dx
x1
13xx
2
2
2
2
½ m
 



 dxx1dx
x1
x
3dx
x1
1
2 2
22 1 m
cxsin
2
1
x1
2
x
x13xsin2 1221
 
(½+1+1) m
or   cx1x6
2
1
xsin
2
3 21
 
10.       

π
π
π
π
22
π
π
2
dxbxsinaxcos2dxbxsinaxcosdxbxsinaxcosI
= I1
– I2
½ m
  
π
0
22
1 dxbxsinaxcos2I (being an even fun.) 1 m
I2
= 0 (being an odd fun.) 1 m
  
π
0
1 dx2bxcos12axcos1II ½ m
π
02b
2bxsin
2a
2axsin
2x 





 ½ m
2πor
2b
2bπsin
2aπsin
2a
1
2π 





 ½ m
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141
11. Let E1
: selecting bagA, and E2
: selecting bag B.
    3
2EP,
3
1EP 21  ½ + ½ m
LetA: Getting one Red and one black ball
   
15
7
C
CC
EAP,
15
8
C
CC
EAP
2
10
1
3
1
7
2
2
10
1
6
1
4
1 



 1+1 m
         2211 EAPEPEAPEPAP 
45
22
15
7
3
2
15
8
3
1
 1 m
OR
x : 0 1 2 3 4 ½ m
P (x) :
4
0
4
2
1
C 

















2
1
2
1
C
3
1
4
22
2
4
2
1
2
1
C 











3
3
4
2
1
2
1
C 











4
4
4
2
1
C 




 1½ m
:
16
1

16
4

16
6

16
4

16
1
 ½ m
x P (x) : 0
16
4
16
12
16
12
16
4
x2
P (x) : 0
16
4
16
24
16
36
16
16
½ m
Mean = 2
16
32
P(x)x  ½ m
    12
16
80
P(x)xP(x)xVariance
222
  ½ m
12.
^^^^^^
jzky–ikzjyixir 







1½ m
^^^^^^
izkxjkzjyijr 







x 1½ m
xykxjoizky–jziojr,ir
^^^^^^^


























½ m
0xyxyxyjrir 













½ m
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142
13. Anypoint onthe line  212λ1,4λ2,3λis
12
2z
4
1y
3
2x






1 m
Ifthis is the point ofintersection with plane x– y+ z = 5
0λ05212λ14λ–23λthen  1 m
 Point ofintersection is (2, –1, 2) 1 m
Required distance =       131025112
222
 1 m
14. Writing 2
11-
1)(x1
1
sin1)(xcot

 
1½ m
and 2
11
x1
1
cosxtan

 
1½ m
  


















 
2
1
2
1
x1
1
coscos
1x1
1
sinsin ½ m
2
1
xx112xx1 22
 ½ m
OR
      8
5π
xtan
2
π
xtan
8
5π
xcotxtan
22
121
2
2121






 
1 m
  0
8
3π
xtanπxtan2
2
121
 
1½ m
4
π,
4
π3
4
3πππ
xtan
22
1



1 m
 x = – 1 ½ m
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143
15. Putting x2
= cosθ , we get ½ m










 
cosθ1cosθ1
cosθ1cosθ1
tany 1
½ m





















 
2
θtan1
2
θtan1
tan
2
θsin
2
θcos
2
θsin
2
θcos
tan 11
1 + ½ m
21
xcos
2
1
4
π
2
θ
4
π
y 
 ½ m
44
x1
x
–2x
x1
1
2
1
dx
dy



 1 m
16. θcosbθsina
dθ
dx
 ½ m
θsinbθcosa
dθ
dy
 ½ m
y
x
θcosbθsina
θsinbθcosa
dx
dy



 1½ m
or 0x
dx
dy
y 
01
dx
dy
dx
dy
dx
yd
y 2
2
 1 m
Using (i) we get 01
dx
dy
y
x
dx
yd
y 2
2
 ½ m
0y
dx
dy
x
dx
yd
y 2
2
2

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144
17. Let xbe the side ofan equilateraltriangle
dt
dx
 = 2 cm/s. 1 m
Area (A) =
4
x3 2
1 m
dt
dx
x
2
3
dt
dA
 1 m
scm320(2)20)(
2
3
dt
dA 2
 1 m
18. Writing x + 3 = –   124
2
1
 x 1 m
       dx2x7dxx4x32x4
2
1
dxx4x33x
222
½+½ m
  c
7
2x
sin
2
7
x4x3
2
2x
x4x3
3
1 122
3
2





 


 
1+1 m
19. HF. M P































7875
6125
7000
50
100
25
405035
304025
205040
C
B
A
1½ m
Funds collected byschoolA: Rs. 7000,
School B : Rs. 6125, School C : Rs. 7875 1 m
Totalcollected : Rs. 21000 ½ m
For writing one value 1 m
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145
SECTION - C
20.  a, bN, (a, b) R (a, b) as ab (b + a) = ba (a + b)
 R is reflexive .................... (i) 2 m
Let (a, b) R (c, d) for (a, b), (c, d) NN
 ad (b + c) = bc (a + d) .................... (ii)
Also (c, d) R (a, b)  cb (d + a) = da (c + b) (using ii)
 R is symmetric .................... (iii) 2 m
Let (a, b) R (c, d) and (c, d) R (e, f), for a, b, c, d, e, f, N
 ad (b + c) = bc (a + d) and cf (d + e) = de (c + f) 1 m
cf
fc
de
ed
and
ad
da
bc
cb 





c
1
f
1
d
1
e
1
and
a
1
d
1
b
1
c
1
i.e 
adding we get
c
1
f
1
a
1
d
1
d
1
e
1
b
1
c
1

 af (b + e) = be (a + f)
Hence (a, b) R (e, f)  R is transitive ................... (iv) ½ m
Form(i), (iii) and (iv) R is an equivalence relation ½ m
21. Correct Fig. 1 m
Eqn. ofnormal (OP) : y = x3 ½ + ½ m
Eqn. oftangent (PQ) is
x)(4
3
1
yi.e.1)(x
3
1
3y  1 m
Coordinates of Q (4, 0) ½ m
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146
  
4
1
1
0
dxx4
3
1
dxx3areaReq. ½+½ m
4
1
21
0
2
2
x
4x
3
1
2
x
3 








 1 m
32
2
1
4816
3
1
2
3






 sq. units ½ m
OR
  
3
1
23x2
n
2
hheredx1xe ½ m
         h1n1f........2h1fh1f1fhlim
0h


1 m
      ......4h4h2eh2h2e2ehlim 26h123h11
0h
 

    22h1)-3(n1
h1nh1n22e  
1 m
       22221)h(n36h3h1
0h
1n...21h1)(n....212h2ne.....ee1ehlim  

1½ m
    





 





 


 6
h2nhhnhnh
2
hnhnh
22nhh
1e
1e
.ehlim 3n
3nh
1
0h
1 m
   
3
32
3
1e
e
3
8
44
3
1e
.e
6
1
6
1










1 m
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147
22. Givendifferentialequationcanbe writtenas
2
1
2
y1
ytan
x
y1
1
dy
dx





1 m
 Integratingfactor is y1
tan
e

1 m
 Solution is :  




2
ytan1
ytan
y1
e.ytan
ex
1
1
dy 1½ m
tytanwheredtetex 1tytan 1
 

1 m
  c1ytaneceet 1ytantt 1
 
1½ m
or y– tan1 1
ec1ytanx

 
OR
Givendifferentialequationis
2
x
y1
x
y
dx
dy







2
v1
v
dx
dv
xvgettov
x
y
Putting

 1½ m
2
3
2
v1
v
v
v1
v
dx
dv
x




 1½ m
 


x
dx
dv
v
1v
3
2
½ m
cxlog
2v
1
vlog 2
 1 m
c
2y
x
ylog 2
2
 1 m
0
2y
x
ylog0c1y0,x 2
2
 ½ m
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148
23. Anypoint online  14λ1,3λ1,2λis
4
1z
3
1y
2
1x






1 m
2
9
khence,
2
3
λ
1
14λ
2
k13λ
1
312λ






 2½ m
Eqn. ofplanecontaining three linesis
0
121
432
1z1y1x


1 m
 – 5 (x – 1) + 2 (y + 1) + 1 (z – 1) = 0 1 m
i.e. 5x – 2y – z – 6 = 0 ½ m
24.      
15
2
BPAP
15
2
BAP  1 m
      6
1
BPAP
6
1
BAP  1 m
          
15
2
BPAPBPor
15
2
BPAP1  ................. (i) 1 m
          
6
1
BPAPAPor
6
1
BP1AP  ......................(ii) 1 m
From(i) and (ii)    
30
1
15
2
6
1
BPAP  ½ m
Let P (A) = x, P (B) = y 





 y
30
1
x
(i) 0429y30y
15
2
yy
30
1
y 2






 ½ m
Solving to get 5
4yor
6
1y 
6
5xor
5
1x  ½ m
Hence         5
4BP,
6
5APOR
6
1BP,
5
1AP  ½ m
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149
25. f (x) = sin x – cos x, 0 < x < 2 π
  1,xtanor0xsinxcos0xf  1 m
4
7π
,
4
3πx  1 m
  xsin–xcosxf  1 m
  MaximaLocalis
4
3πxso,vei.e
2
1
2
1
4
3πf  1 m
and   MinimaLocalis
4
7πxso,vei.e
2
1
2
1
4
7πf  1 m
LocalMaximumvalue 2
2
1
2
1
 ½ m
LocalMinimumvalue 2
2
1
2
1
 ½ m
26. Correct graphs ofthree lines 1x3 = 3 m
Correctly shading
feasible region 1 m
Vertices are
A (0, 2), B (1.6, 1.2), C (2, .0) 1 m
Z = 2x+ 5yis maximum
atA(0, 2) and maximumvalue = 10 1 m
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150
QUESTION PAPER CODE 65/1/A
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1. getting 1A  ½ m
1An
 ½ m
2. Order 2 and degree = 1 ½ m
sum = 3 ½ m
3. Writing  

 22
x1
dxx
–dy
y1
y
½ m
Getting cx1y1 22
 ½ m
4.
2
OCOA
OB

 ½ m
a2bOC  ½ m
5. Unit VectorPerpendicular to
ba
ba
banda



[Findingor using]
½ m
RequiredVector kˆ7jˆ11iˆ  ½ m
6. Writingstandard form
3
z
12–
y
2
x
and
6
z
2
y
3
x



 ½ m
Finding
2
π
θ  ½ m
Marks
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151
SECTION - B
C P
7.


















331800
551900
452400
422
264
BFamily
AFamily
2 m
Writing MatrixMultiplicationas 





33215800
57624600
1 m
Writing about awareness ofbalanced diet 1 m
Alt: Method
Taking the givendata for allMen, allWomen, allChildren
for eachfamily, the solutionmust be givenmarks
accordingly
8.






































 
4
π
25
1
1
5
2
tantan
4
π
5
1
tantan 11
1 m
=












4
π
12
5
tantan 1
1 m
=
7
17
12
5
1
1
12
5



1+1 m
9. Writing C1
 C2
A = – 2
cc1
bb1
aa1
3
3
3
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152
R1
 R1
– R2
& R2
 R2
– R3
A = – 2
cc1
cbcb0
baba0
3
33
33


1+1 m
A = – 2 (a – b) (b – c)
cc1
1bccb0
1baba0
3
22
22


1 m
= – 2 (a – b) (b – c)  2222
cbcbbaba  ½ m
= 2 (a – b) (b – c) (c – a) (a + b + c) ½ m
10. A = I A
A
100
010
001
013
321
210




















 1 m
Using elementaryrowtransformations to get
A
135
269
123
100
010
001
























2 m













 
135
269
123
A 1
1 m
OR


































30
12
9
3
2
2
087
806
760
AC
1 m
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153


































2
8
1
3
2
2
021
201
110
BC
1 m











28
20
10
BCAC
½ m
 























3
2
2
068
1005
870
CBA
½ m











28
20
10
1 m
Yes, (A + B) C = AC + BC
11. f (x) =








1xif12x
1x0if1
0xif12x
1½ m
Only possible discontinuties are at x = 0, x= 1
at x = 0 : at x = 1
L. H. limit = 1 : L. H. limit = 1 1 m
f (0) = R. H. limit = 1 : f (1) = R. H. limit = 1
 f(x) is continuous in the interval(– 1, 2) ½ m
At x = 0
L. H. D = – 2  R. H. D = 1 1 m
 f(x) is not differentiable in the interval(– 1, 2)
12. x = a (cos 2t + 2t sin 2t)
y = a (sin 2t – 2t cos 2t)
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154
t2cosat4
dt
dx
 1 m
t2sinat4
dt
dy
 1 m
t2tan
dx
dy
 ½ m
dx
dt
t2sec2
dx
yd 2
2
2
 1 m
t2cosat2
1
dx
yd
32
2
 ½ m
13.
x
y
= log x – log (ax + b)
differentiating w.r.t. x, 1 m
b)(axx
b
bax
a
x
1
x
y
dx
dy
x
2






b)(ax
bx
y
dx
dy
x

 ................... (1) 1 m
differentiating w.r.t.x again
 
22
2
b)(ax
abxbbax
dx
dy
dx
dy
dx
yd
x



2
2
2
2
b)(ax
b
dx
yd
x

 1 m
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155
Writing
2
2
2
3
bax
bx
dx
yd
x 






 ................... (2) ½ m
From (1) and (2) 
2
2
2
3
y
dx
dy
x
dx
yd
x 





 ½ m
14.
 
 
dx
xsinxx
xcos1xxsinx
I  

 1 m
 

 dx
xsinx
xcos1
dx
x
1 put x + sin x = t 2 m
 (1 + cos x) dx = dt
cxsinxlogxlog  1 m
OR
  
   dx
1x1x
11xx1x
I 2
2
 

 ½ m
    




1x1x
dx
dx
1x
1xx
22
2
1 m
dx
1x
1
2
1
1x
x
2
1
1x
1
2
1
1x
x
1 222 












 1½ m
cxtan
2
1
1xlog
2
1
1xlog
4
1
x 12
 
1 m
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156
15.
    



2
π
0
22
22
π
0
2
dx
x4tan1xtan1
xsec
xtan41
dx
I 1 m
Put tan x = t
      
 






0 0
22
0
22
t21
dt
3
4
t1
dt
3
1
t41t1
dt
I 1 m
 












0
1
0
1
t2tan
23
4
ttan
3
1
1 m
6
π
2
π
3
2
2
π
3
1












 1 m
16.
  


4
π
0
22
dx
2xcosxsin
xcosxsin
I 1½ m
Put sin x – cos x = t  t = – 1 to 0 1 m
(cos x + sin x) dx = dt



0
1
22
2t
dt
I
0
1
2t
2t
log
4
1






 1 m
 3log0
4
1

½ m
3log
4
1






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157
17. Writing 







baλd
723
241
kji
λ
^^^


1 m







^^^
k14ji32λ ................... (1) 1 m
27dc 

27k14ji32λk4ji2
^^^^^^













27λ9  1 m
3λ 
^^^
k42j3i96d 

1 m
18. Lines are parallel ½ m










b
baa
DS.
12
1 m
^^^^^^
12 k4j3i2bandk2j2iaa 

29b,
432
221
kji
baa
^^^
12 







1½ + ½ m
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158
29
145
or
29
5
29
ki2
DS.
^^


 ½ m
OR
Required equationofplane is
  (1)094z3y5xλ3zy2x  1 m
      03λ94λ1z3λ1y5λ2x  1 m
(1) is parallelto
5
5z
4
3y
2
1x 




      04λ153λ145λ22 
6
1
λ  1 m
(1)  7x + 9y – 10 z – 27 = 0 1 m
19. P (step forward) =
5
2
, P (step backword) = 5
3 ½ m
He canremain a step awayin either ofthe
ways : 3 steps forward & 2 backwards 1 m
or 2 steps forward & 3 backwards
 required possibility
32
2
5
23
3
5
5
3
5
2
C
5
3
5
2
C 























 2 m
125
72
 ½ m
OR
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159
Adieis thrown
Let E1
be the event ofgetting 1 or 2
Let E2
be the event of getting 3, 4, 5 or 6
LetAbe the event ofgetting a tail
    3
2EP,
3
1EP 21  1 m
2
1
E
AP&,
8
3
E
AP
21










 1 m
 
    






















2
2
1
1
2
2
2
E
APEP
E
APEP
E
APEP
A
E
P
1 m
2
1
3
2
8
3
3
1
2
1
3
2



11
8
 1 m
SECTION - C
20. Here R = { whereS,3baandba,:b)(a, 
S is the set of all irrational numbers.}
(i) irrationalis3aaasRa)(a,,a 
 R is reflexive 1½ m
(ii) Let for   irrationalis3bae.i.Rba,,ba, 
  Rab,S3abirrationalis3ba 
Hence R is symmetric 2 m
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160
(iii)      cb,a,for,Rcb,andRba,Let
S3cbandS3ba 
Rc)(a,HenceS32cagettoadding  2½ m
 R is Transitive
OR
 fe,d,c,b,a,
          fe,*dbc,afe,*dc,*ba, 
1 m
 fdbe,ca   (3)
          fde,c*ba,fe,*dc*ba, , 
1 m
 fdbe,ca   (4)
 * isAssociative
Let (x, y) be on identityelement in 
 (a, b) * (x, y) = (a, b) = (x, y) * (a, b)
 a + x = a, b + y = b
x = 0 , y = 0 2 m
 (0, 0) is identityelement
Let the inverse element of(3, – 5) be (x1
, y1
,)
 (3, – 5) * (x1
, y1
) = (0, 0) = (x1
, y1
) * (3, – 5)
3 + x1
= 0, – 5 + y1
= 0
x1
= – 3 , y1
= 5
 (– 3, 5) is an inverse of (3, – 5) 2 m
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161
21. Fig. ½ m
x
2
+ y
2
= 4. OP is  to AB
θsec2OA;
OA
2
θcos  ½ m
  OB
2
θ90cos o

OB = 2 cosecθ ½ m
θ)cosecθ(sec2OBOASLet  ............................. (1) 1 m
 θcotθcosecθtanθsec2
dθ
dS
 1m









θcosθsin
θcosθsin
2 22
33
................................................... (2)
for maxima orminima 0
dθ
dS

,
4
π
θ  1 m
4
π
θwhen0
dθ
Sd
(2) 2
2
 1 m
 OA + OB is minimum
 OA + OB = 4 2 unit ½ m
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162
22. Figure ........ ½ m
y= 4mx  (1) and y2
= 16 ax  (2) 1 m
2
m
a
x 
Required area  
22
m
a
0
m
a
0
dxx4mdxxa4 2 m
 2
2
m
a
0
2m
a
0
2
3
x2m–xa
3
8




= 3
2
3
2
3
2
m
a
3
2
m
2a
m
a
3
8
 2 m
given
12
a
m
a
3
2 2
3
2

m3
= 8
m = 2 ½ m
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163
23. 2yx
dx
dy
y)(x 
yx
2yx
dx
dy











x
yf
x
y
1
x
y
21
dx
dy
................................ (1)
 differentialequationis homogeneous Eqn. 1 m
y = vx to give
v1
v21
dx
dv
xv


 ½ m
 



x
dx
dv
vv1
v1
2 1 m
 



















x
dx
2
3
2
1
v
dv
2
3
dv
vv1
12v
2
1
222
1½ m
cxlog
3
12v
tan3vv1log
2
1 12





 
 
1 m
cxlog
3x
x2y
tan3
x
yxyx
log
2
1 1
2
22





 


 
1 m
OR
    0
dx
dy
kyhx  1 m
  0
dx
dy
dx
yd
ky1and
2
2
2






 1 m
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164
 
2
2
2
dx
yd
dx
dy
1
ky















 1 m
(1)  
dx
dy
dx
yd
dx
dy
1
hx
2
2
2







 1 m
Putting inthe giveneqn.
2
2
2
2
2
2
2
2
2
2
2
2
r
dx
yd
dx
dy
1
dx
dy
dx
yd
dx
dy
1


















































1 m
2
2
2
2
32
dx
yd
r
dx
dy
1or 




















 1 m
24. Eqn. ofa plane through
and Points A(6, 5, 9), B (5, 2, 4) & C (– 1, – 1, 6) is
0
236
232
956




zyx
2½ m
 3x – 4y + 3z – 25 = 0  (2) 1½ m
distance from (3, – 1, 2) to (2)
units
34
6
9169
25649
d 


 2 m
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165
25. Possible values of x are 0, 1, 2 and x is a random variable 1½ m
x: P(x) x P(x) x2
P(x)
0
42
20
C
CC
2
7
2
5
0
2
=
×
0 0 For P (x) 1½ m
1
42
20
C
CC
2
7
1
5
1
2
=
×
42
20
42
20
For x P (x) ½ m
2
42
2
C
CC
2
7
0
5
2
2
=
×
42
4
42
8
For x2
P (x) ½ m
42
28
P(x)x;
42
24
P(x)x 2
∑∑ == 1 m
[ ]22
P(x)xP(x)xvar;
7
4
P(x)xMean ∑ ∑∑ −=== iance 1 m
147
50
Variance =
147
50
49
16
3
2
=−=
26. Correct graphs of 3 lines 3 m
Correctly shading
feasible region ½
Vertices are A (10, 0), B (2, 4), C (1, 5) & D (0, 8) 1 m
Z=3x+5yisminimum
at B (2, 4) and the minimum Value is 26. 1 m
on Plotting (3x + 5y < 26)
sincetheseitnocommonpointwiththefeasible
region, Hence, x = 2, y = 4 gives minimum Z ½ m
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166
QUESTION PAPER CODE 65/1/B
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1. x = 2 , y = 9 (½ for correct x or y)
 x + y = 111 ½ m
2. order 3 , or degree 1 ½ m
 Degree + order = 4 ½ m
3.
x
2
xlogx
y
dx
dy
 (Standard form) ½ m
I.F. = log x ½ m
4. 6–x0ba 

½ m
102or40y  ½ m
5. γsinaβsinaαsina 222222
 ½ m
= 2 a2
½ m
6. using
ba
ba
θsin 



 ½ m
o
0θ  ½ m
SECTION - B
7. [15000 15000]












100
x
100
2
= [1800] 2 m
Marks
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167
 300 + 150x = 1800 1 m
 x = 10%
yes : compassionate or anyother relevant value 1 m
8. 2
1–1–
1)(x1
1
sin1)(xcot

 1½ m
and
2
1–1–
x1
1
cosxtan

 1½ m




















2
1–
2
1–
x1
1
coscos
1)(x1
1
sinsin
2
1
–xx112xx1 22
 1 m
OR
31
17
tan–
5
3
sin2 1–1–
=
31
17
tan–
4
3
tan2 1–1–
1 m
=
31
17
tan–
7
24
tan 1–1–
1 m
=
4
π
1tan 1–
 1+1 m
9. ,CCCC 3211 
(a + b + c) 0
ba1
ac1
cb1
 1 m
133122 R–RR,R–RR 
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168
)0cba(0
c–bb–a0
c–ab–c0
cb1
  2 m
 – a2
– b2
– c2
+ ab + bc + ca = 0 ½ m

2
1
– [(a – b)2
+ (b – c)2
+ (c – a)2
] = 0 ½ m
 a = b = c
10. A
100
010
001
120
352
01–1






















1 m
,R2–RR 122 
A
100
012–
001
120
370
01–1






















322 R3–RR 
A
100
3–12–
001
120
010
01–1






















233211 R2–RR,RRR 
A
72–4
3–12–
3–11–
100
010
001























(2 marksfor alloperations)











72–4
3–12–
3–11–
A 1–
1 m
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169
11. f (x) = x –









1x0,x
0x,0
0x1–,x–2x
x)–(1x–xx–x
2
2
2
1 m
f(x)being a polynomialiscontinuous on    1,00,1– 
0)x–(2xltf(x)lt 2
0x0x ––


½ m
0xltf(x)lt 2
0x0x
 

½ m
Also, f(0) = 0
f(x)limf(0)f(x)lim
0x0x – 

 1 m
 There is no point ofdiscontinuityon[– 1, 1] 1 m
12.  x)b(alog–xlog
x
y
 ½ m
xba
b
–
x
1
x
y–
dx
dy
x
2

 1 m
xba
ax
y–
dx
dy
x

 ................................... (i) 1 m
Differentiatingagain,
 2
2
2
2
xba
a
dx
yd
x

 1 m
22
2
2
3
y–
dx
dy
x
xba
ax
dx
yd
x 












 (using (i)) ½ m
13. 2
1–
2
1–
x–1
2–
dx
du
xcos2
1–2x
1
secu 





 1½ m
2
2
x–1
x–
dx
dv
x–1v  1 m
4
x
2
dx
dv
2
1

x
1½ m
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170
14. Let  


2
π
0
dx
xcossin x
xcos3xsin5
I .................. (i)
 


2
π
0
dx
xsinxcos
xsin3xcos5
I ........ (ii) 







 
a
0
a
0
dxx)–f(adxf(x) 1½ m
Adding (i)and (ii) 1+1 m
2 I =  
2
π
0
π4dx18 ½ m
π2I 
OR
put log x = t  x = et
 dx = et
dt 1 m
dt
t
1
tloge 2
t
 






dt
t
1
t
1
t
1
–tloge 2
t


















  1½ m
c
t
1
–tloget






 1 m
  c
xlog
1
–xloglogx 





 ½ m
15. dx
xsinxxcos
xcosx
I  
 1 m
put cos x + x sin x = t
 x cos x dx = dt 1 m
=  t
dt
1 m
= log sin xxxcos  + c 1 m
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171
16.
    
   dx
1x1–x
1
1x
1x1–x
dxx
22
4
 







 1 m
(usingpartialfractions)
=  
 
dx
1x
1x
2
1
–
1–x
dx
2
1
dx1x 2 

 1½ m
=   cxtan
2
1
–1xlog
4
1
–1–xlog
2
1
x
2
x 1–2
2
 1½ m
17.






kˆ–jˆ2–iˆAC
kˆ5–iˆ2–AB
1 m
kˆ4jˆ7–iˆ10–ACAB  1 m
165ACAB  ½ m
ACAB
ACAB
nˆ



1 m
=
 
165
kˆ4–jˆ7iˆ10
or
165
kˆ4jˆ7–iˆ10– 
½ m
18.








kˆ
6
1
jˆiˆb,kˆjˆ2–a
kˆ
12
1
–jˆ
2
1
iˆb,iˆ–a
22
11


1 m
kˆjˆ2–iˆa–a 12 

½ m
kˆ
2
1
jˆ
4
1
–iˆ
6
1
bb 21 

½ m
12
7
bb 21 

1 m
S.D. =
    2
bb
bba–a
21
2112





1 m
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172
OR
Foot of perpendicular are (0, b, c) & (a, 0, c) 1 m
Equ. ofrequired plane
0
c0a
cb0
zyx

2 m
 bcx + acy – abz = 0 1 m
19. p (x = 2) = 9 . P(x = 3) 1 m
03
3
32
2
3
qpC9qpC  1 m
32
p9)p–(1p3  1 m
4
1
p  1 m
OR
Let H1
be the event that redballis drawn
H2
be the event that black ball is drawn
E be the event that both balls are red
P(H1
) =
8
3
, P(H2
) =
8
5
1 m
P(E/H1
) = ,
9
2
01
5
2
2
C
C
 P(E/H2
) =
15
1
01
3
2
2
C
C
 1 m
P(E) = P(H1
) P(E/H1
) + P(H2
) . P(E/H2
) 1 m
=
8
1
15
1
8
5
9
2
8
3
 1 m
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173
SECTION - C
20. * 0 1 2 3 4 5 6
0 0 1 2 3 4 5 6
1 1 2 3 4 5 6 0
2 2 3 4 5 6 0 1
3 3 4 5 6 0 1 2
4 4 5 6 0 1 2 3
5 5 6 0 1 2 3 4
6 6 0 1 2 3 4 5 4 m
 a {0, 1, 2, 3, 4, 5, 6}
a * 0 = a = 0 * a  0 is identity 1 m
 a {1, 2, 3, 4, 5, 6}
a * b = 0 = b * a
 a * (7 – a) = 0 = (7 – a) * a
 (7 – a) is inverse of a 1 m
21. A = y (x + 4)
1
9
y
16
x 22

Let z = )x–(16
16
9
y4)(x)x–(16
16
9
A 22222
 .......... (i) 1 m
3
x)(4x)–(4
16
9
 1 m
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174
4x)–(8x)(4
16
9
dx
dz 2
 1 m
2x0
dx
dz
 1 m
4x)–(8x)(4
8
9
x)(4
4
9
–
dx
zd 2
2
2

0
dx
zd
2
2
2

x
1 m
 Maximum value ofA= 39 sq. units 1 m
22.
1 m
RequiredArea
=  
2
0
2
0
2
dxx–2–dxx–4 2 m
=
2
0
2
2
0
1–
2
2
–2–
2
sin
2
4
2
x–4















x
x
xx
1+1 m
=  2–π sq. units 1 m
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175
23. 22
yx
xy
dx
dy


put y = v x
dx
dv
xv
dx
dy
 1 m
x
dx
–
v
v1
3
2


 1 m
Integratingbothsides
cxlog–vlog
v2
1
– 2
 1 m
cylog
2y
x
– 2
2

when x = 1, y = 1  c = –
2
1
1 m
2
22
2y
y–x
log  y ½ m
when x = x0
, y = e e3x0  1½ m
OR
I F = xsecee xseclogdxxtan
 1 m
xtanxsecxxsec3xx)sec(y
dx
d 32
 1 m
  cdxxsec3x–xsecxdxxsec3xxsecy 232
2 m
 y = x3
+ c cos x
when
27
2π–
cgetwe;0y,
3
π
x
3
 1 m
xcos
27
2π
–xy
3
3
 1 m
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176
24. Equation ofline is
5
1–z
3–
4–y
2
3–x
 1 m
Equationofplane is
0
1–3–2
2–01
2–z1–y2–x

1 m
 2x + y + z – 7 = 0 ..................................... (i) 1 m
generalpoint ongivenline 1)λ54,λ3–3,λ(2  lieson (i) 1 m
3
2
–λ07–1)λ(54)λ(–33)λ(22  1 m
 Point of intersection 





3
7
–,6,
3
5
1 m
25. Let H1
: be the event 1, 2 appears
H2
: be the event 3, 4, 5, 6 appears 1 m
E : be the event that head appears
P(H1
) =
3
1
6
2
 , P(H2
) =
3
2
6
4
 1 m
P(E/H1
) =
8
3
P(E/H2
) =
2
1
1 m
P(H2
/E) =
)(E/HP)(HP)(E/HP)(HP
)(E/HP)(HP
2211
22


1 m
=
11
8
2 m
OR
Let H1
: be the event that 4 occurs
H2
: be the event that 4 does not occurs 1 m
E : be the event that manreports 4 occurs
on a throw ofdice
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177
P(H1
) =
6
1
, P(H2
) =
6
5
1 m
P(E/H1
) =
5
3
P(E/H2
) = 1 –
5
2
5
3
 1 m
P(H1
/E) =
)(E/HP)(HP)(E/HP)(HP
)(E/HP)(HP
2211
11


1 m
=
13
3
2 m
26. Let us consider the man invested on x
electronic and ymanuallyoperated machines
Maximise P = 220 x + 180 y............................... (i) 1 m
subject to
x + y < 20
3600 x + 2400 y < 57600  3x + 2y < 48 1½ m
x, y > 0
(1 mark for
plottingeach
line) = 2 m
(½ to find the vertices
offeasible
region)
Rs.3520P 0)(16,A

Rs.3920P )21(8,B

Rs.3600P )20(0,C

Maximum profit is Rs. 3920 at x = 8, y= 12 1 m
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178
QUESTION PAPER CODE 65/1/C
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1. 507ba,kˆ7jˆ13iˆ17ba  ½+½ m
2.
3
2π
θ,
ba
ba
θcos 

 ½ + ½ m
3. 7
13
distance,
n
pna
d 

 ½ + ½ m
4. 2xsine2x
1 m
5.
x
y
dx
dy
mx,y  ½ + ½ m
6. xlogfactorgIntegratin,
x
2
y
xlogx
1
dx
dy
 ½ + ½ m
SECTION - B
7. A
2
=










988
898
889
1½ m
A
2
– 4A – 51 = O
500
050
005
488
848
884
988
898
889







































1 m
 4IA
5
1
AO514AA 12
 
1 m
Marks
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179














































322
232
223
5
1
400
040
004
122
212
221
5
1
A 1
½ m
OR
A
100
010
001
310
015
102




















 
1 m
Using elementaryrowoperations to reach at
A
225
5615
113
100
010
001
























2 m














225
5615
113
A 1
1 m
8. 0
6x2x1x
2x1x6x
1x6x2x




3211 CCCC 
0
6x2x73x
2x1x73x
1x6x73x




1 m
133122 RRR,RRR 
0
741
371
1x6x73x




2 m
   
3
7
x03773x

 1 m
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180
9.  



2
π
0
2
π
0
2
dx
xcosxsin
1
I2dx
xcosxsin
xsin
I 1 m



2
π
0 2
2
dx
2
xtan1
2
x
tan2
2
xsec
I2
    


1
0
22
t
2
x
tanwhere,dt
21t
1
I 1½ m
1
0
21t
21t
log
22
1
I










 1 m
21
21
log
22
1
I


 ½ m
OR
  
2
1-
3x
n
3
hheredx57xe ½ m
    ...........h1f1hlim
0h


f
       12h1n7e......12-7he12ehlim h1n33h33
0h
 

1 m
 
    nh121n....3217he......ee1ehlim h1n36h3h3
0h
 

1 m
    














12nh
2
hnhnh7
1e
h1ee
hlim h3
nh33
0h
1 m
 
2
9
e3
1e
36
2
63
3
1ee
3
993






½ m
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181
10.  
dx
2xx
x
24
2
  
txwhere
1t2t
t
2tt
t
2xx
x 2
224
2





 1½ m
   1t3
1
2t3
2



 1½ m
      




dx
1x3
1
dx
2x3
2
dx
2xx
x
2224
2
c
1x
1x
log
6
1
2
x
tan
23
2 1



 
1 m
11. Let E1
: two headed coin is chosen
E2
: unbiased coin is chosen
A : All 5 tosses are heads ½ m
   
32
1
E
AP,1
E
AP,
5
4
EP,
5
1
EP
21
21 









 2 m
 
    






















2
2
1
1
1
1
1
E
APEP
E
APEP
E
APEP
A
E
P
½ m
9
8
32
1
5
4
1
5
1
1
5
1
A
E
P 1 








1 m
OR
Let the coinis tossed n times
100
80
(0)P1  1½ m
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182
5
1
(0)P  ½ m
5
1
2
1
2
1
C
0n
0
n












1 m
3n
5
1
2
1
n






1 m
12.   kˆ2jˆ3iˆ3DA,kˆ3–iˆCA,kˆ4jˆ1xiˆBA  1½ m
  0DA,CA,BA  1 m
0
233
301
41x1




1 m
x = 4 ½ m
13.    kˆ6jˆ3iˆ2λkˆ2jˆ2iˆ4r  1 m
Let L bethe foot ofperpendicular
Position vector ofLis       kˆ26λjˆ23λiˆ42λ  ½ m
   kˆ16λjˆ3λiˆ32λPL 

½ m
      016λ63λ332λ2bPL 
0λ  1 m
kˆiˆ3PL 
units10PL  1 m
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183
14.  
2
π
xsin2x1sin 11
 
  





 
xsin2
2
π
sinx1 1
1 m
 xsin2cosx1 1
 1 m
1 – x = 1 – 2 x2
1 m
2
1
0,x  ½ + ½ m
x =
2
1
is rejected
OR
L.H.S
31
17
tan
5
3
sin2 11 

31
17
tan
4
3
tan2 11 
 1 m
=
31
17
tan
7
24
tan 11 
 1 m














 
31
17
7
24
1
31
17
7
24
tan 1
1 m
4
π
625
625
tan 1






 
1 m
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184
15. y = eax
cos bx
y1
= aeax
cos bx – b eax
sin b x 1 m
y1
= ay – b eax
sin b x 1 m
y2
= ay1
– b [aeax
sin bx + b eax
cos b x] 1 m
y2
= ay1
– a beax
sin bx – b
2
eax
cos b x
y2
= a y1
– a (ay – y1
) – b
2
y
y2
– 2 a y1
+ (a
2
+ b
2
) y = 0 1 m
16. bxyx
ayxx 
0
dx
dw
dx
dv
dx
du
,yw,xv,xuLet xyx
 ½ m
 xlog1x
dx
du x
 1 m






 xlog
dx
dy
x
y
x
dx
dv y
1 m






 ylog
dx
dy
y
x
y
dx
dw x
1 m
 








 

1xy
x1yx
yxxlogx
ylogyxyxlog1x
dx
dy
½ m
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185
17.      t22cost2cos1t2sin2sin2ta
at
dx
 1 m
  t2cos1t2sin2t2cost2sin2b
dt
dy
 1 m
  
     t2cos2t2cos1t2s2sin ta
t2cos1t2sin2t2cost2sin2b
dx
dy



in 1 m
a
b
1
2
b
ttan
a
b
tcost3cosa4
tsint3cosb4
 1 m
18.
 
dxe
5x
3x x
3 

   
dxe
5x
2
5x
1 x
32 


1 m
    


dxe
5x
2
dxe
5x
1 x
3
x
2 ½ m
      




 dxe
5x
2
dxe
5x
2
e
5x
1 x
3
x
3
x
2 2 m
=
 
c
5x
e
2
x


½ m
F M T
19.































6625
5250
5450
50
100
25
752035
551540
701230
z
y
x
1½ m
Funds collected by school x : 5450, school y = 5250
school z = 6625 1 m
Totalcollected funds = 17325 ½ m
For writing any value 1 m
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186
SECTION - C
20. (i) Let (e, e ) be the identityelement inAA
(a, b) * (e, e ) = (a, b) = (e, e ) * (a, b)
(a e , b + a e ) = (a, b)
 01,:identity
0ebeab
1eaae





2 ½ m
(ii) Let (x, y) is inverse of(a, b) A
(a, b) * (x, y) = (1, 0) = (x, y) * (a, b)
(a x , b + a y) = (1, 0)
  




 









a
b
,
a
1
ba,ofinverse
a
b
y0yab
a
1
x1ax
2 ½ m
  




 

5
3
,
5
1
35,ofInverse ½ m
 8–,24,
2
1
ofInverse 





½ m
OR
One – One : - Case I : when x and y are even
f (x) = f (y)  x + 1 = y + 1  x = y
Case II : when x and y are odd
f (x) = f (y)  x – 1 = y – 1  x = y
Case III : one of them is even and one of them is odd
f (x)  f (y)  x + 1  y – 1  x  y 2 ½ m
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187
Onto : Let y W
f (y – 1) = y if y is odd
f (y + 1) = y if y is even
So  y  W, there exist some element in domain off
 fis invertible 2½ m
 






evenisx,1x
oddisx,1x
xf 1
1 m
21. Figure 1 m
For finding (– 1, 0) , (1, 0) (2, 0) 1½ m
    

2
1
1
1
2
1
2
dx1xdx1xdxx5Area 1½ m
   
2
1
2
1
1
22
1
12
2
1x
2
1x
5
x
sin
2
5
x5
2
x





 





 









1 ½ m
1
2
1
4
2
1
5
1
sin
2
5
1
5
2
sin
2
5
1 11












 
2
1
5
1
sin
5
2
sin
2
5 11






 
sq. units ½ m
22. x2
dy = (2 xy + y2
) dx
2
2
x
yxy2
dx
dy 
 ½ m
dx
dv
xv
dx
dy
vxy  1 m
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188
 

 dx
x
1
dv
vv
1
v2v
dx
dv
xv 2
2
2 m
clogxlog
1v
v
log 

 1 m
cx
xy
y
cxlog
xy
y
log 



 1 m
x = 1, y = 1
2
1
c 
x2
+ xy – 2 y = 0 ½ m
OR
Givendifferentialequationcanbe writtenas
2
xtanm
2
x1
e
y
x1
1
dx
dy
1





1 m
Integratingfactoris xtan 1
e

1 m
Solutionis dxe
x1
e
ey xtan
2
xtanm
xtan 1
1
1






 1½ m
 
txtanwhere,dteey 1-t1mxtan 1
 

1 m
   
c
1m
e
1m
e xtan1mt1m 1-






1 m
1m
m
c0x1,y


 
1m
m
1m
e
ey
xtan1m
xtan
1-
1






½ m
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189
23. f (x) = sin2
x – cos x
f (x) = sin x (2 cos x + 1) 1 m
f (x) = 0  sin x = 0 and 2 cos x + 1 = 0  x = 0, π,
3
π
2 2½ m
    1πf,
4
5
3
2π
f,10f 





 1½ m
Absolute maximumvalue is
4
5
½ m
Absolute minimumvalueis – 1 ½ m
24. Two lines 2211 bμarandbλar  are coplanar
if     0bbaa 2112  1 m
Here        0kˆ3jˆiˆ2kˆjˆiˆkˆjˆ3iˆ  2 m
Equationofplane is
    0bbar 211  1 m
       0kˆ3jˆiˆ2kˆjˆiˆkˆjˆiˆr 





  02kˆjˆiˆ2r 

2 m
25. Correct graphofthree lines 1×3 m
correct shadingoffeasible region 1 m





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190
vertices are 











4
15
,
2
3
,
2
3
0, ,
 0,2,
4
3
,
2
7






1 m
z = 5x + 2 yis maximum
and19
4
3
,
2
7
at 





minimumat 3
2
3
,0 





1 m
26. x: 2 3 4 5 6 1 m
P (x) :
15
1
15
2
15
3
15
4
15
5
2 m
x . P (x) :
15
2
15
6
15
12
15
20
15
30
½ m
x2
P (x) :
15
4
15
18
15
48
15
100
15
180
½ m
3
14
15
70
P(x)xMean   1 m
9
14
9
196
–
15
350
(Mean)P(x)xVariance 22
  1 m
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191
QUESTION PAPER CODE 65/1/G
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1. 











43
52–
–
23
42
3 ½ m







26
78
½ m
2. y = e– x
+ ax + b  y = – e– x
+ a ½ m
y = e– x
or 2
2
dx
yd
= e– x
½ m
3. Order = 2, degree = 2 (any one correct) ½ m
Sum = 2 + 2 = 4 ½ m
4.

 ABofsrd. : 1,–5 – a, b– 3 ;

 BCofsrd. are – 4,16,9– b or

 ACofsrd. :– 3,11 – a, 6 ½ m
getting a = – 1, b = 1, a + b = 0 ½ m
5.
5
3
θcos
5
4
20
16
θsin16θsinba 

½ m
21θcbaba  os

½ m
6. 222
(–2)(–1)2
6–9
d

 ½ m
= 1 ½ m
Marks
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192
SECTION - B
7. LHS = sin 











xtan2
x–1
2x
cot 1–
2
1–
1 m
= sin 











xtan2
x–1
2x
tan–
2
π 1–
2
1–
1 m
= sin 





 xtan2xtan2–
2
π 1–1–
1 m
= sin 1
2
π
 = R.H.S 1 m
OR
tan– 1
4
π
6x
5x
6–x
5–x
–1
6x
5x
6–x
5–x



















2 m

     
4
π
tan
25x–36–x
6–x5x6x5–x
22



1 m
 2x2
= 49 ½ m

2
7
x  ½ m
8. L.H.S. =
22
22
22
b–a–12a–2b
2aba–1ab2
2b–ab2b–a1


322311 Ra–RR,RbRR 
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193
=
 
 
22
2222
2222
b–a–12a–2b
ba1aba10
ba1b–0ba1


1+1 m
=  
22
222
b–a–12a–2b
a10
b–01
ba1  1 m
Expandingandgetting
  R.H.S.ba1Δ
322
 1 m
9. A
2
=










65–5
5–65–
55–6
1½ m
A
2
– 5 A + 4 I =































400
040
004
105–5
5–105–
55–10
–
65–5
5–65–
55–6
= O 1 m
Pre multiplyingbyA
–1
and getting A
–1
=  A–I5
4
1
½ m
and A
–1
=
4
1












311
131
113
1 m
OR
A = I A 1 m
 A
100
010
001
013
321
210





















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194
21 RR 
A
100
001
010
013
210
321





















1 m
133 R3–RR 
A
13–0
001
010
9–5–0
210
321





















233211 R5RR,R2–RR 
A
13–5
001
012–
100
210
1–01





















322311 R2–RR,RRR 
A
13–5
2–69–
12–3
100
010
001





















[operatingRow wise to reachat this step] 2½ m











13–5
2–69–
12–3
A 1–
½ m
10. A Candidate who has made anattempt to solvethe question
to be given 4 marks 4 m
11. y = – x3
log x ½ m
dx
dy
= – x2
(1 + 3 log x) 1 m
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195
2
2
dx
yd
= – (5x + 6x log x) 1 m
L.H.S. = x [– (5x + 6x log x)] + 2x2
(1 + 3 log x) + 3x2
1 m
= 0 ½ m
= R.H.S.
OR
f (x) = (x – 4)] (x – 6) (x – 8)
= x3
– 18 x2
+ 104 x – 192
Beingapolynomialfunctionf(x)is continuous
in [4, 10] and differentiable in(4, 10) with
(x)f = 3x2
– 36 x + 104 1+1 m
a–b
(a)f–(b)f
(c)fsuch that10)(4,c 
 3 c2
– 36c + 104 = 8 1½ m
 c = 4, 8 ; c = 4  (4, 10)
 c = 8 : verifies the theoren ½ m
12. Given y)–(xlog–alog
y–x
x
 ½ m
Differentiating both sides and getting [ x  y]
0
dx
dy
y2y–x  2½ m
y
x–2y
dx
dy

y
x
–2
dx
dy
 1 m
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196
13.
 


5
3
53
1xx
dx
I









5
3
5
33
x
1
1xx
dx
1½ m
Put t
x
1
1 5

5
dt
–
x
dx
6
 1 m
  Ct
2
1
–dtt
5
1
–I 5
2
5
3–
1 m
C
x
1
1
2
1
–
5
2
5






 ½ m
14.  
4
2
4
2
4
2
dx4–xdx3–xdx2–xI ½ m
        
4
2
4
3
3
2
4
2
dx4–x–dx3–xdx3–x–dx2–x 2 m
4
2
24
3
23
2
24
2
2
4x–
2
x
–3x–
2
x
3x–
2
x
–2x–
2
x
























 1 m
= 5 ½ m
OR
  



4
π
0
22
4
π
0
2
dx
xsin21xcos
xcos
dx
xsin21
xsec
I
    

4
π
0
2
dx
xsin21xsin1xsin–1
xcos
1 m
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197
Put sin x = t  cos x dx = dt, when x = 0, t = 0
2
1
t,
4
π
x  ½ m
      

2
1
0
2
t21t1t–1
dt
I
      



2
1
0
2
2
1
0
2
1
0
t213
dt2
t16
dt
t–16
dt
I 1 m
 
2
1
0
1–
t2tan
3
2
t–1
t1
log
6
1








 1 m
 1tan
3
2
2
1
–1
2
1
1
log
6
1 1–



  26
π
223log
6
1
26
π
12log
3
1
 or ½ m
15.  






2
π
4
π
2x
dx
x2cos–1
2xsin–1
eI
 






2
π
4
π
2
2x
dx
xsin2
xcossin2–1
e
 






2
π
4
π
22x
dxcot x–xcosec
2
1
e 1½ m
Put 2x = t
2
dt
dx 
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198
when πt,
2
π
x;
2
π
t,
4
π
x  1 m
 






π
2
π
2t
dt
2
t
cot–
2
t
cosec
2
1
e
2
1
I
π
2
π
t
e
2
t
cot
2
1
– 





 1 m
2
e 2
π
 ½ m
16. Let kˆ6jˆ4iˆ2OB,kˆ21jˆ8iˆ4OA 
kˆ5jˆ8iˆ5OD,kˆ4jˆ5iˆ3OC 
kˆ7–iˆAD,kˆ8–jˆ3–iˆ–AC,kˆ6–jˆ4–iˆ2–AB  1½ m
Now,   0
7–01
8–3–1–
6–4–2–
ADACAB  2 m
 A, B, C, D are coplanar ½ m
17. Let E1
: Event that transferred ballis black
E2
: Event that transferred ballis Red
E3
: Event that balls drawnare black
P(E1
) =
9
5
, P(E2
) =
9
4
1 m
P(A/E1
) = ,
14
5
C
C
2
8
2
5
 P(A/E2
) =
14
3
C
C
2
8
2
4
 1 m
P(E1
/A) =
)(A/EP)(EP)(A/EP)(EP
)(A/EP)(EP
2211
11


½ m
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199
=
14
3
9
4
14
5
9
5
14
5
9
5


1 m
=
37
25
½ m
18. Equation ofline joining (4, 3, 2) and (1, – 1, 0) is
2–
2–z
4–
3–y
3–
4–x
 ½ m
Equation ofline joining (1, 2, – 1) and (2, 1, 1) is
2
1z
1–
2–y
1
1–x 
 ½ m
Let equation ofthe required line be
λ
c
1–z
b
1y
a
1–x


 ................ (i) ½ m
According to the question 3a + 4b + 2c = 0
a – b + 2c = 0 1 m
Solving, μ
7–
c
4–
b
10
a

7μ–c,4μ–b,10μa  ½ m.
(i)  Equation ofthe line is
7–
1–z
4–
1y
10
1–x


 [cartesian form] ½ m
Vector form,    kˆ7–jˆ4–iˆ10λkˆjˆ–iˆr 

½ m
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200
19.




















5100
3100
2500
426
354
643
C
B
A
HWRH 1 m











41600
40800
50500
1 m
Hence money awarded byA = Rs. 50500
money awarded by B = Rs. 40800 1 m
money awarded by C = Rs. 41600
Respect for elders or Anyrelevant value 1 m
SECTION - C
20.       Rdc,b,a,dbc,adc,ba, 
Since   RRdbc,aRdbandRca  1½ m
i.e. ‘*’ is binaryoperation
For commutative
consider (c, d) * (a, b) = (c + a, d + b)
= (a + c, b + d)
= (a, b) * (c, d) 1½ m
 ‘*’ is commutative
ForAssociative
Let (a, b), (c, d), (e, f) ARR 
[(a, b) * (c, d)] * (e, f) = (a + c, b + d) * (e, f)
= (a + c + e, b + d + f) ...........(i)
again (a, b) * [(c, d)] * (e, f)] = (a, b) * (c + e, d + f)
= (a + c + e, b + d + f) ...........(ii) 1½ m
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201
(i) & (ii)  ‘*’ is associative
For identityelement
Let (e1
, e2
) RR  be the identityelement (ifexists)
then (a, b) * (e1
, e2
) = (a, b) = (e1
, e2
) * (a, b)
 (e1
, e2
) = (0, 0) RR  1½ m
OR
f (x) = x2
– x ; x {– 1, 0, 1, 2}
f (– 1) = 2, f (0) = 0, f (1) = 0, f (2) = 2
 f = {(– 1, 2), (0, 0), (1, 0), (2, 2)} 2 m
 x1–
2
1
–x2(x)g {– 1, 0, 1, 2}
g (– 1) = 2, g (0) = 0, g (1) = 0, g (2) = 2
 g = {(– 1, 2), (0, 0), (1, 0), (2, 2)} 2 m
(g of) (x) = g (f (– 1), g (f (0), g (f (1), g (f (2) Ax 
= 2, 0, 0, 2
 g of = {(– 1, 2), (0, 0), (1, 0), (2, 2)} 2 m
Hence f = g = g o f
21. Givencurve cuts the x – axis wheny = 0 ½ m
when y = 0, x = 7, hence point is (7, 0) ½ m
65x–x
5)–(2xy–1
dx
dy
2

 2½ m
20
1
dx
dy
)0,7(



½ m
Equation of the tangent is y – 0 = 7)–(x
20
1
1 m
 x – 20y = 7
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202
Equation of the normal is y – 0 = – 20 (x – 7) 1 m
 20x + y = – 7
OR
 π0,xx,sinxcos(x)f 2

)1sin2(–xcos(x)f  x 1 m
For extremum,
6
5π
,
6
π
xor
2
π
x0(x)f  1½ m
Now f (0) = 1,   1πf,
4
5
6
5π
f1,
2
π
f,
4
5
6
π
f 

















1½ m
Absolute max. is
6
5π
and
2
π
xat
4
5
 1 m
Absolute min. is 1 at x = 0, πand
6
π
1 m
22. y = x + 1 , x = – 2 , x = 3
01y
1–0x
For correct figure 1 m
Reqd area     
3
1–
1–
2–
dx1xdx1x 2 m
3
1–
21–
2–
2
x
2
x
x
2
x












 2 m
unitssq.
2
17
 1 m
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203
23. (y – sin x) dx + (tan x) dy = 0
dx
dy
 + cot x y = cos x 1 m
Linear diff. equ. with P = cot x, Q = cos x
I.F. = sin x 1 m
Solution is y . sin x =   cdxsin xxcos
= c2xcos
4
1
–  2 m
when x = 0, y = 0
4
1
c  1 m
Particular solutionis
y sin x =  
2
xsin
12xcos–
4
1 2

xsin
2
1
y  1 m
24. srd  of first line : k – 5, 1, 2k + 1 1 m
srd  of 2nd line : – 1, k, 5 1 m
 lines are  – 1 (k – 5) + k (1) + 5 (2k + 1) = 0
 k = – 1 1 m
Eqns of lines become
5
z
1–
2–y
1–
2x
and
1–
5–z
1–
1–y
6–
3x




1 m
Eqn ofplane containing these two lines is
0
51–1–
1–16–
z2–y2x


1 m
 4 x + 31 y + 7z = 54 1 m
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204
25. Let x kg of B1
and y kg of B2
is taken
thento minimize Z = 5x + 8y 1 m
subject to the following constraints 3 m
x + y = 5, x < 4, y > 2
x > 0, y > 0
Graph 2 m
26. Let x denote no. ofheads
here
2
1
q,
2
1
p  1 m
r–nr
r
n
2
1
2
1
Cr)(xP 












n
r
n
2
1
C 





 1 m
Now
n
1
n
2
1
C1)(xP 






n
2
n
2
1
C2)(xP 





 1½ m
n
3
n
2
1
C3)(xP 






According to the question
 
n
3
n
1
n
n
2
n
2
1
CC
2
1
C2. 











2 m
 n = 2 or 7 ½ m
n can not be 2 Hence n = 7
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205
QUESTION PAPER CODE 65/1/P
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1. 19–A  ½ m







23–
5–2–
19
1
–A 1–
½ m
2. c
dx
dy
 ½ m
2
dx
dy
dx
dy
xy 











 ½ m
3. 2
–1
2
y1
ytan
y1
x
dy
dx



 ½ m
I.F. = ytan 1–
e ½ m
4.     0abaaba 

1 m
5. jˆ3iˆ3ba 

½ m
  3cba 

½ m
6.
1–
2–z
3
4–y
0
3x


½ m
D.Rs are 0, 3, –1 ½ m
SECTION - B
7.




















5
15
20
361826
281522
341225
C
B
A
1½ m
Marks
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206











970
805
850
1½ m
Anyrelevant value 1 m
8.
























2
x
tan
ba
b–a
1
2
x
tan
ba
b–a
–1
cos
2
x
tan
ba
b–a
tan
2
2
1–1–
1½ m
=












2
x
tanb–
2
x
tanaba
2
x
tanb
2
x
tana–ba
cos
22
22
1–
1 m
=





































2
x
tan–1b
2
x
tan1a
2
x
tan1b
2
x
tan–1a
cos
22
22
1–
½ m
=


























2
x
tan1
2
x
tan–1
ba
b
2
x
tan1
2
x
tan–1
a
cos
2
2
2
2
1–
½ m
=








xcosba
bxcosa
cos 1–
½ m
OR
4
π
3x
2x
tan
3–x
2–x
tan 1–1–














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207
4
π
3x
2x
3–x
2–x
–1
3x
2x
3–x
2–x
tan 1–




















1½ m
4
π
5–
21–2x
tan
2
1–






 1½ m
2
7
x1
5–
12–2x 2
2
 ½ m
2
7
x 
For writing no solutionas 1x ½ m
9.
































2–1–0
52–9
21–5
01–1
312
102
01–1
312
102
A2
2 m
































1600
0160
0016
05–5
15510
5010
–
2–1–0
52–9
21–5
I615A–A2
1 m











1445–
10–91–
3–1–11
1 m
10. Taking x from R2
, x (x – 1) from R3
and (x + 1) from C3
12–x3–
11–x2
1x1
1)(x1)–(xxΔ 2

2 m
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208
C,–CC;Cx–CC 33122 
=
42–4x3–
1–x–1–2
001
1)–(xx 22
1 m
=
42–4x
1–x)(11–
1)–(xx 22 
½ m
= )x–(16x 22
½ m
11.  2t)cos(1t2cos2t2sint2sin2–α
dt
dx
 1 m
 2t)sin2t)2cos–(1–t2cost2sin2β
dt
dy
 1 m
 
 2tcos2t4cos2α
2tsin2–t4sin2β
dt
dx
dt
dy
dx
dy













 ½+1 m
= ttan
α
β
tcost3cos2
tsint3cos2
α
β
 ½ m
12. Let y = 












1x
1–x
cos
x–x
x–x
cos 2
2
1–
1–
–1
1–
1 m







 2
2
1–
x1
x–1
cos–π 1 m
xtan2–π 1–
 1 m
2
x1
2
–
dx
dy

 1 m
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209
13. Let y =
x1–
x
2
x1
sincos 





 
Let u =
x1–
xv;
2
x1
sincos 





 
 y = u + v
dx
dv
dx
du
dx
dy
 ½ m















 






 

2
x1
–
2
π
coscos
2
x1
sincosu 1–1–
½ m
2
x1
–
2
π 

x122
1
–
dx
du

 ............................ (i) ½ m
x
xv 
xlogxvlog 
xlog1xlog1
x
1
x
dx
dv
v
1

 xlog1x
dx
dv x
 .......................................(ii) 1½ m
 xlog1x
x122
1
–
dx
dy x


 ½ m
4
3
1
4
1
–
dx
dy
1xat







½ m
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210
14. dx
22
2
I
2
π
0
xcosxsin
xsin
 
 .......................... (i)








  

















a
0
a
0
2
π
0
x–
2
π
cosx–
2
π
sin
x–
2
π
sin
dxx)–f(adx(x)usingdx
22
2
1½ m
dx
22
22
π
0
xcosxsin
xcos
 
 ..............................(ii) 1 m
(ii),and(i)Adding
 
2
π
xdx1I2
2
π
0
2
π
0
  1 m
4
π
I  ½ m
OR
dxx)(πcosxI
2
3
0

dxxπcosx–dxxπcosx
2
3
2
1
2
1
0
 1 m
 












2
3
2
1
2
3
2
1
2
1
0
2
1
0
dx
π
xπsin–
π
xπsinx
–dx
π
xπsin
–
π
xπsinx
1½ m
    2
3
2
1
2
1
0
xπcos
π
1
2π
1
2π
3
xπcos
π
1
2π
1
22

0
2π
1
2π
3
π
1
–
2π
1
2
 1 m
2
π
1
–
2π
5
 ½ m
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211
15.   dxxtanxcotI  
dx
xcosxsin
xsinxcos


 1 m
 
 
dx
xcotxsin2–1–1
xsinxcos
2 

 1 m
 
dx
xcos–xsin–1
xsinxcos
2
2


½ m
  dtdxxsinxcostxcos–xsinPut  ½ m
ctsin2
t–1
dt
2I 1–
2
  ½ m
  cxcos–xsinsin2 1–
 ½ m
16.
    dx
1xx
1x
–1dx
1xx
1–x
I 22
3
 









 1 m
 dx
1xx
1x
–x 2 

 ½ m
1I–x
  1x
x–1
x
1
1x
CxB
x
A
1xx
1x
Let 222







1 m
  xtan1xlog
2
1
–xlogdx
1x
x–1
x
1
I 1–2
21 

  1 m
cxtan–1xlog
2
1
xlog–xI 1–2
 ½ m
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212
17. Here













kˆ3jˆ–iˆ8–AD
kˆ3jˆ4iˆ–AC
kˆ2–jˆ6–iˆ4–AB
1½ m
For them to be coplanar, 0ADACAB 


 
1½ m
066–12660–
31–8–
341–
2–6–4–
i.e. 
½ m
coplanarareDandCB,A,Points ½ m
18. Here
γββγ–β
δααδ–α
d)(a–cba–bd)–(a–c–b



2½ m
311 CCC
γβββ
δααα
d–a–cba–ba–b
2 




½ m
 identicalareCandC0 21 ½ m
coplanararelinesgivenHence ½ m
OR
D.R’
s
of normalto the plane are 5, – 4, 7 1 m
D.R’
s
of y – axis : 0, 1, 0 ½ m
If θ is the angle between the planeand y–axis, then
2
2
2
2
2
2
2
1
2
1
2
1
212121
cbacba
ccbbaa
θsin


 1 m
103
4–
 1 m
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213







103
4–
sinθ 1–







103
4
sinisangleAcute 1–
½ m
19. Let E be theevent ofgetting number greater than 4
 P(E) =
3
1
and P
3
2
)E(  ½+½ m
Required Probability= P ....)orEEEEEEorEEEEorEE( 1 m












 .............
3
1
3
2
3
1
3
2
3
1
3
2
53
1 m




















 .............
3
2
3
2
1
9
2
42
½ m
5
2
5
9
9
2
 ½ m
OR
A = {(5, 6, 1), (5, 6, 2), (5, 6, 3), (5, 6, 4), (5, 6, 5), (5, 6, 6),}
P (A) = ,
36
1
666
6


P (B) = P (getting 3 or 4 on the third throw) 1½ m
BA  = {(5, 6, 3), (5, 6, 4)}  P BA  =
108
1
666
2


1½ m
P(B/A) =
 
  3
1
AP
BAP


1 m
SECTION - C
20. Let y = (fog) (x) [say y = h (x)]
= f [g (x)] = f (x3
+ 5) 2½ m
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214
= 2 (x3
+ 5) – 3
= 2 x3
+ 7 2½ m
(y)h
2
7–y
x 1–3  ½ m
31–
2
7–x
(fog)  ½ m
OR
Let (x, y) be the identityelement in Q × Q, then
            QQba,ba,*yx,ba,yx,ba,  1½ m
 (ax, b + ay) = (a, b)
 a = ax and b = b + ay
 x = 1 and y = 0 1 m
 (1, 0) is the identity element in Q × Q ½ m
Let (a, b) be the invertible element in Q × Q, then
there exists   thatsuchQQβα, 
         01,ba,*βα,βα,*ba,  1½ m
  0)(1,aβb,aα  1 m
a
b
–β,
a
1
α 







a
b
–,
a
1
isAinelementinvertiblethe ½ m
21. f(x) = 2x3
– 9 m x2
+ 12 m2
x + 1, m > 0
(x)f = 6x2
– 18 m x + 12 m2
1 m
(x)f  = 12x – 18 m 1 m
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215
For Max.or minimum, (x)f = 0  6x2
– 18 m x + 12 m2
= 0
 (x – 2 m) (x – m) = 0
 x = m or 2 m 1 m
At x = m, (x)f  = 12m – 18m = – ve  x = m is a maxima 1 m
At x = 2 m, (x)f  = 24m – 18m = + ve  x = 2m is manimum 1 m
 p = m and q = 2 m ½ m
Given p2
= q  m2
= 2 m  m2
– 2 m = 0
 m = 0, 2
 m = 2 as m > 0 ½ m
22. y = 2 + x (i)
y = 2 – x (ii)
x = 2 (iii),
y1
is the value ofyfrom(i)
and y2
is the value ofyfrom(ii)
RequiredArea =  
2
0
21 dxy–y 1 m
correct graph 1+1+1 m
     
2
0
dxx–2–x2 correct shading 1 m
 






2
0
2
0
2
2
x
2dxx2 ½ m
unitssq.4 ½ m
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216
23. Let the equation ofline be y = mx + c 1½ m
the lineis at unit distancefromthe origin
2
2
m1c1
m1
c0
i.e. 


1½ m
2
m1xmy  .................................. (i) 1 m
m
dx
dy
 1 m
2
dx
dy
1
dx
dy
xy 





 1 m
OR
















x
y
2
x
y
31
xy2
3yx
dx
dy
2
22
......................(i) 1 m
Differentialequationishomogeneous
Put y= v x
dx
dv
xv
dx
dy
 1½ m
2v
3v1
dx
dv
xv
2

 1 m
2v
v1
dx
dv
x
2


 







x
dx
dv
v1
v2
2 1 m
clogxlogv1log 2
 1 m
xcv1 2

322
2
xcyxorxc
x
y
1 





 ½ m
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217
24. Equationofplane passing through(1, 0, 0)
a (x – 1) + b (y – 0) + c (z – 0) = 0
or a x + b y + c z – a = 0 ................................ (i) 1 m
Plane (i) passesthrogh (0, 1, 0)
b – a = 0 ..........................................(ii) ½ m
Angle between plane (i) and plane x + y = 3 is
4
π
½ m

2cba
ba
4
π
cos
222


 1 m
2cba
ba
2
1
222


 1 m
222
cbaba 
ii)(usingc2a2a 22

(iii)..........................a2c  1 m
becomes(i)Equation
00)–(za20)–(ya1)–(xa 
01–z2yx  ½ m
21,1,isnormaltheofD.R's
 ½ m
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218
25. Let E1
, E2
and E be the events such that
E1
: studentsresiding inhostel
E2
: studentsresiding outside hostel 1½ m
E : studentsgetting ‘A’grade
 P(E1
) =
100
40
, P(E/E1
) =
100
50
2 m
P(E2
) =
100
60
, P(E/E2
) =
100
30
P(E1
/E) =
)(E/EP)(EP)(E/EP)(EP
)(E/EP)(EP
2211
11


1 m
=
100
60
100
30
100
50
100
40
100
50
100
40


1 m
=
19
10
½ m
26. Let x be the man helpers and ybe the woman helpers
Pay roll : Z = 225 x + 200 y 1 m
Subject to constraints :
x + y < 10
3x + 4y > 34 ½×4 =2 m
8x + 5y > 68
x > 0, y > 0










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219
correct graph : 2 m
2720Rs.(A)Z,
5
68
0,AAt 





  Minimum2150Rs.(B)Z,46,BAt  ½ m
2550Rs.(C)Z,0,
5
34
CAt 





4)(6,at2150Rs.ZMinimum  ½ m
[Feasible regionis unbounded and to check minimum
of Z, 225x + 200 y < 2150
corresponding line is outside oftheshaded region]
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220
QUESTION PAPER CODE 65/1/RU
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1.
3–3–3–
yxz
zyxzyxzyx
Δ

 ½ m
= 0 ½ m
2. order 2, degree 1 (anyone correct) ½ m
sum= 3 ½ m
3. ycotx.
y1
2y
dy
dx
2


 ½ m
Integratingfactor =    2y1log
y1ore
2

½ m
4.        aˆ2cˆcˆbˆbˆaˆ22cˆbˆaˆ2cˆbˆaˆ2
222
2
 ½ m
6cˆbˆaˆ2  ½ m
5. jˆiˆ–
011
111
kˆjˆiˆ
ba 

½ m
unit vector is
2
jˆ
2
iˆ
–  ½ m
6.
10
1–
10
3–z
15
1
15
7y
5
1
5
3–x


 ½ m
Direction cosines are
7
3–
,
7
2
,
7
6
or
7
3
,
7
2–
,
7
6–
½ m
Marks
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221
SECTION - B
7.































39000
23000
30000
40
20
50
150400500
75250300
100300400
2 m
cost incurred respectivelyfor three villagesis Rs. 30,000, Rs. 23,000, Rs. 39,000 1 m
One value : Women welfare or Anyother relevant value 1 m
8.
  














31
8
tan
1–x1x–1
1–x1x
tan 1–1–
2 m
31
8
x–2
2x
2
  4x2
+ 31x – 8 = 0 1 m
,
4
1
x  – 8 (Rejected) 1 m
OR
L.H.S. = 



















 zx1
x–z
tan
yz1
z–y
tan
xy1
y–x
tan 1–1–1–
2 m





RHS0
xtan–ztanztan–ytanytan–xtan –1–1–1–1–1–1
2 m
9.
ccbb
abba
caca
abc
cbcbab
acbaba
cacbca
22
22
22







Taking a, b & c common from C1
, C2
and C3
1 m
ccbcb
abba
cacca
abc2




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222
3211 CCCC  and taking 2 common from C1
1 m
b–cbcb
b–bba
0cca
abc2



 133 C–CC  1 m
b–cbcb
0c–c–a
0cca
abc2


 322 R–RR  ½ m
Expand by C3
, = 2 abc (– b) (– ac – c2
– ac + c2
) = 4a2
b2
c2
½ m
10. Adj A = 27A;
36–6–
6–36–
663–











2+1 m
A. Adj A = 3IA
100
010
001
27
36–6–
6–36–
663–
12–2
2–12
2–2–1–
































1 m
11. f (x) = 1x1–x 
L
    
 
  2–
1x
1x2–
lim
1––x
2–1x–1–x–
lim(–1)f ––
1)(–x1)(–x







1 m
R
    
 
0
1x
0
lim
1––x
2–1x1–x–
lim(–1)f
1)(–x1)(–x




 

1 m
(x)f02–  is not differentiable at x = – 1
L
     0
1–x
0
lim
1–x
2–1x1–x–
lim(1)f ––
1x1x




1 m
R
    2
1–x
1–x2
lim
1–x
2–1x1–x
lim(1)f
1x1x


 

1 m
(x)f20  is not differentiable at x = 1
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223
12. 2
xsinm
xsinm
x–1
em
dx
dy
getwe“x”,w.r.t.atedifferenti,ey
–1
1–
 1½ m
dx
dy
x–1 2
 = my, Differentiateagain w.r.t. “x”
dx
dy
m
dx
dy
x–1
x
–
dx
yd
x–1
22
2
2
 1½ m
  (my)m
dx
dy
x–1m
dx
dy
x–
dx
yd
x–1 2
2
2
2






 ½ m
  0ym–
dx
dy
x–
dx
yd
x–1 2
2
2
2
 ½ m
13. f (x) = 3–2x(x)h,
1x
1x
(x)g,1x 2
2




Differentiating w.r.t. “x”, weget
 
2(x)h,
1x
x–2x–1
(x)g,
1x
x
(x)f 22
2
2




 1+1½+1 m
  
5
2
(x)ghf  ½ m
14.     











 dxx–x22x–1dx
2
1
–x–
2
3
2dxx–x22x–3 2
22
2
2 m
  cx–x2
3
2
2
3
2
1
–x
sin
8
9
x–x2
2
2
1
–x
2 2
3
21–2

























 2 m
or   











 cx–x2
3
2
3
1–2x
sin
4
9
x–x2
2
1–2x 2
3
21–2
OR
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224
    






dx
2x
1
5
3
dx
1x
12x
5
1
dx
2x1x
1xx
22
2
2 m
 




 dx
2x
1
5
3
dx
1x
1
5
1
dx
1x
2x
5
1
22 ½ m
c2xlog
5
3
xtan
5
1
1xlog
5
1 1–2
 1½ m
15.  
4
π
0
4
4
π
0
3
dx
tan x2xcos
1
dx
x2sin2xcos
1
1 m
=
 

4
π
0
2
2
dxxsec
xtan2
xtan1
1 m
= 

1
0
2
dt
t
t1
2
1
Taking, tan x = t; 1 m
=
1
0
2
5
t
5
2
t2
2
1




 ½ m
=
5
6
5
2
2
2
1






 ½ m
16.
   




 dx
1x
1
x
1
1x
1–
xlogdx
1x
1
xlog 2 2 m
=  


dx
1x
1
–dx
1
1x
xlog–
x
1 m
= c1)(xlog–xlog
1x
xlog–


1 m
or c
1x
x
log
1x
xlog–









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225
17. kˆ5–jˆ5–iˆb–c;kˆjˆiˆ–b–a 

1½ m
    kˆ4jˆ4–
5–5–1
111–
kˆjˆiˆ
b–cb–a 

1½ m
 Unit vector perpendicular to both ofthe vectors = –
2
kˆ
2
jˆ
 1 m
18. let the equation of line passing through (1, 2, – 4) be
 kˆcjˆbiˆaλkˆ4–jˆ2iˆr 

1 m
Since the line is perpendicular to the two givenlines 
 3a – 16 b + 7 c = 0
1½ m
3a + 8 b – 5 c = 0
Solving we get,
6
c
3
b
2
a
or
72
c
36
b
24
a
 1 m
 Equation ofline is :  kˆ6jˆ3iˆ2λkˆ4–jˆ2iˆr 

½ m
OR
Equation ofplane is : 0
1–11
1–2–212
z2–y1x


3 m
Solving we get, x + 2y + 3z – 3 = 0 1 m
19. Let x = No. ofspades in three cards drawn
x : 0 1 2 3 1 m
P(x) :
 
64
27
4
33
3
C0

  
64
27
4
3
4
13
2
C1

 
64
9
4
3
4
13
2
C2

   
64
1
4
3
4
13
03
C3

2 m
x . P(x) : 0 64
27
64
18
64
3 ½ m
Mean =
4
3
64
48
P(x)x  ½ m
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226
OR
let p = probabilityofsuccess ; q = Probabilityoffailure
then, 9 P(x = 4) = P(x = 2)
 42
2
624
4
6
qpCqpC9  2 m
 3pqq9p 22
 1 m
Also, p + q = 1  p + 3p = 1  p =
4
1
1 m
SECTION - C
20. f: 
5
3–5y54
(y)f;9–6x5xf(x);)9,–R 1–2 

y9–
5
3–5y54
6
5
3–5y54
5(y)fof
2
1–








 








 
 3 m
  x
5
3–9–6x5x554
(x)fof
2
1–


 2½ m
Hence ‘f’isinvertible with
5
3–5y54
(y)f 1– 
 ½ m
OR
(i) commutative : let x, y   then1––R
x * y = x + y + xy = y + x + yx = y * x  * is commutative 1½ m
(ii) Associative : let x, y, z   then1––R
x * (y * z) = x * (y + z + yz) = x + (y + z + yz) + x (y + z + yz)
= x + y + z + xy + yz + zx + xyz 1½ m
(x * y) * z = (x + y + xy) * z = (x + y + xy) + z + (x + y + xy) . z
= x + y + z + xy + yz + zx + xyz 1 m
x * (y * z) = (x * y) * z  * is Associative
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227
(iii) IdentityElement : let    1––Raaa*ee*athatsuch1––Re  ½ m
 a + e + ae = a  e = 0 ½ m
(iv) Inverse : let a * b = b * a = e = 0 ; a, b  1––R ½ m
 a + b + ab = 0
a1
a–
aor
a1
a–
b 1–



 ½ m
21. Solving the two curves to get the pointsofintersection  8,p3 1½ m
m1
= slope oftangent to first curve =
9p
2x–
1½ m
m2
= slope of tangent to second curve =
p
2x
1½ m
curves cut at right angle iff 1–
p
2x
9p
2x–
 ½ m
)p3x(Put4x9p 22

p)(949p2

 p = 0 ; p = 4 1 m
22. correct figure 1½ m
ar (ABDOA)
3
16
12
dy
4
1
4
0
34
0
2



 
y
y ......(i) 1½ m
ar (OEBDO)
4
0
3
2
3
4
0
24
0
12
x
–x
3
4
dx
4
x
–dxx2 





 
3
16
3
16
–
3
32
 .........(ii) 1½ m
ar (OEBCO)
3
16
12
x
dxx
4
1
4
0
34
0
2



  ................(iii) 1½ m
From (i), (ii) and (iii) we get ar (ABDOA) = ar (OEBDO) = ar (OEBCO)
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228
23.
1–
x
y
x
y
dx
dy
x–xy
y
dx
dy
2
2
2 




 , Hence the differentialequationis homogeneous 1 m
Put y =
1–dx
d
xgetwe,
dx
d
x
dx
dy
andx
2
v
vv
v
v
vv  1+1 m
1–
–
1–dx
d
x
2
v
v
v
v
vv
 1 m
cxloglog–dx
x
1
d
1–
  vvv
v
v
1 m






 cylog
x
y
or,cxlog
x
y
log–
x
y
1 m
OR
Given differentialequationcan be written as 2
–1
2
y1
ytan
x
y1
1
dy
dx



 1 m
Integrating factor=  

 dy
y1
eytan
ex:issolutionande 2
ytan–1
ytanytan
–1
1–1–
1+1½ m
x t)ytan(wherec1)–y(tanece–tedttee –1–1ytantttytan –1–1
  1½ m
x = 1, y = 0  c = 2 21)–y(taneex –1ytanytan –1–1
 1 m
ytan––1 –1
e21–ytanxor 
24. Equationofline throughAand B is (say)λ
6
5z
1
4y
1–
3–x




 2 m
Generalpoint onthe line is  5–6λ4,–λ3,λ–  1 m
Ifthis is the point ofintersection with plane 2x+ y+ z = 7
then,   2λ75–6λ4–λ3λ–2  1 m
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229
 Point ofintersection is (1, – 2, 7) 1 m
Required distance =       77–4241–3
222
 1 m
25. Let the two factories I and II be in operation for x and y
days respectivelyto produce the order withthe minimumcost
then, theLPP is :
Minimise cost : z = 12000 x + 15000 y 1 m
Subject to :
50x + 40y > 6400 or 5x + 4y > 640
50x + 20y > 4000 or 5x + 2y > 400 2 m
30x + 40y > 4800 or 3x + 4y > 480
x, y > 0
correct graph 2 m
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230
Vertices are A (0, 200) ; B (32, 120)
C (80, 60) ; D (160, 0) ½ m
z (A) = Rs. 30,00,000; z (B) = Rs. 21,84,000;
z (C) = Rs. 18,60,000 (Min.); z (D) = Rs. 19,20,000;
On plotting z < 1860000
or 12x + 15y < 1860, we get no
point common to the feasible region
 Factory I operates for 80 days
½ m
Factory II operates for 60 days
26. E1
: Bolt is manufactured bymachineA
E2
: Bolt is manufactured bymachine B
E3
: Bolt is manufactured bymachine C
A :Bolt is defective
;
100
20
)P(E;
100
50
)P(E;
100
30
)P(E 321 
100
1
)P(A/E;
100
4
)P(A/E;
100
3
)P(A/E 321  3 m
P(E2
/A) =
31
20
2020090
200
100
1
100
20
100
4
100
50
100
3
100
30
100
4
100
05





2 m
P( E2
/A) = 1 – P(E2
/A) =
31
11
1 m
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231
QUESTION PAPER CODE 65/1/MT
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1.












032
301
210
or any other correct example ½ + ½ m
2. Order : 2, degree : 2, Product : 4 ½ + ½ m
3. xαcosBαxαsinAα
dx
dy
 ½ m
 xαsinBxαcosAα
dx
yd 2
2
2

0yα
dx
yd 2
2
2

½ m
4. Projection of 

 

b
ba
bona ½ m
Projection
2
5
 ½ m
5. Value = 3 1 m
6. Writing dr’s correctly ½ m
D.C’S
13
12
,
13
4
,
13
3
½ m
Marks





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232
SECTION - B
M W C Expenses
Family
expenses
7.































2300
1150
1050
200
150
200
624
312
132
CFamily
BFamily
AFamily
2 m
Expenses for familyA = 1050
Expenses for family B = 1150 1 m
Expenses for family C = 2300
Anyrelevant impact 1 m
8. ztan
2
π
ytanxtan 111 
 1 m
zcot
xy1
yx
tan 11 








1 m
0zas
z
1
tan
xy1
yx
tan 11













 
1 m
z
1
xy1
yx



½ m
xy + yz + zx = 1 ½ m
9.
0
bac
acb
cba

R
1
 R
1
+ R
2
+ R
3
(a + b + c)
0
bac
acb
111

1 m





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233
C1
 C1
– C2
, C2
 C2
– C3
(a + b + c) 0
bbaac
aaccb
100


 2 m
(a + b + c) (ab + bc + ca – a2
– b2
– c2
) = 0
given 2
acabcabsoc,ba  0cb 22
 ½ m
 (a + b + c) = 0 ½ m
10. Let x = 





dc
ba
1 m





 












642
987
654
321
dc
ba





 








642
987
6d3c5d2c4dc
6b3a5b2a4ba
1½ m
a + 4b = – 7, c + 4d = 2, 2a + 5b = – 8, 2c + 5d = 4
Solving a = 1, b = – 2, c = 2, d = 0
1 m





 

02
21
x ½ m
OR














225
5615
113
A
existwillA0,1A 1
 ½ m
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234









 

310
015
102
Aadj
(Anyfour correct Cofactors : 1 mark) 2 m









 

310
015
102
A
Aadj
A 1
½ m






















 

225
5615
113
310
015
102
AA 1











100
010
001
1 m
11.   4x3xxf 









4,72
43,1
3,27
xx
x
xx
1 m
   
3x
3fxf
lim3xatDH.L. –
3x 



2
3x
2x6
lim–
3x




   
3x
3fxf
lim3xatDH.R.
3x 

 

0
3x
11




  3xatblediffrentianotisxfDH.R.DH.L.  1½ m
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235
   
4x
4fxf
lim4xatDH.L. –
4x 



0
4x
11




   
4x
4fxf
lim4xatDH.R.
4x 

 

2
4x
172x
lim
4x





4xatR.H.D4xatDH.L. 
f(x) is not differentiable at x = 4 1½ m
12.
2x
e
xy


xlogeylog
2
x
 1 m
Diff. w. r. t x
 2xexlog
x
e
dx
dy
y
1 2
2
x
x
 

2 m








 

2
2
x
x
exlog2x
x
e
y
dx
dy
½ m






 
xlog2x
x
1
ex
22x
xe
½ m
OR
y
x
tanyxlog 122 

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236
Diff. w. r. t. x
  




















 2
2
222
y
dx
dy
xy
y
x
1
1
dx
dy
2y2x
yx2
1
2 m

















222
2
22
y
dx
dy
xy
yx
y
yx
dx
dy
yx
1 m
  xyxy
dx
dy
 ½ m
xy
xy
dx
dy


 ½ m
13. 1x1xy 
1x2
1
1x2
1
dx
dy



 1 m
1x2
1x1x
2


 ½ m
  2
2
2
y
dx
dy
1–x4 





½ m
  dx
dy
2y
dx
dy
8x
dx
yd
dx
dy
21–x4
2
2
2
2






 1 m
  4
y
dx
dy
x
dx
yd
1–x 2
2
2
 ½ m
  0
4
y
dx
dy
x
dx
yd
1–x 2
2
2
 ½ m
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237
14.  
dx
xcos1xcos
xcos1
 

 
dx
cos1cos
cos2cos1
 


xx
xx
1½ m
 

xcos1
dx
2
xcos
dx
½ m
  dx
2
x
secdxxsec 2
1 m
c
2
x
tan2xtanxseclog  1 m
15. 

dxxsinx 1
 

dx
x1
x
2
1
xsin
2
x
2
2
1
2
1 m
 


dx
x1
1x1
2
1
xsin
2
x
2
2
1
2
½ m
 
 
dx
x1
dx
2
1
dxx1
2
1
xsin
2
x
2
21
2
1 m
cxsin
2
1
xsin
2
1
x1
2
x
2
1
xsin
2
x 1121
2






 
1½
or cxsin
4
1
x1
4
x
xsin
2
x 121
2
 
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238
16.  dxex
2
0
12x2



n
2
h  ½ m
        .......2h0fh0f0fhlimdxex
0h
2
0
12x2




  h1n0f.........  1 m
  2222
0h
1)(n.......21hhlim 

 h1)–2(n4h2h
.......eee1e  1 m
   
6
h2nhhnhnh
lim
0h



½ m
+ 







 1e
1e
e.h.lim 2h
2nh
0h
½ m
 
2
ee
3
8
2
e1e
3
8 54



 ½ m
OR

π
0
xcosecxsec
dxxtanx

π
0
2
dxxsinx 1 m

π
0
2
dxxsinxILet
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239
    
π
0
2
dxxπsinxπ ½ m
  
π
0
2
dxxsinxπ ½ m
2 I 


π
0
π
0
2
dx
2
2xcos1
πdxxsinπ ½ m
π
02
2xsin
x
2
π






 1 m
2
π2

I
4
π2
 ½ m
17. λ
0
1z
1
1y
3
1x







½ m
μ
3
1z
0
y
2
4x




½ m
1z1,λy1,λ3x  1 m
x 1μ3z,0y4,μ2 
At thepoint ofintersection
0μ1,λ  1 m
4μ2413λso  ½
Hence thelines are intersecting
Point ofintersectionis (4, 0, –1) ½ m
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240
18. Coordinats of Q are – 3μ +1, μ –1, 5μ +2 ½ m
D.R’s of 45μ3,μ2,3μPQ 

1 m
13z4yxplanethetoparallelisPQas 

      045μ33μ423μ1  1½ m
4
μ

 1 m
OR
The D.R’s of the line are 2, –6, 4 1 m
mid point ofthe line 2, 1, –1 1 m
The plane passes through (2, 1, –1) and is perpendicular to the
plane
eqn. : 2 (x – 2) – 6 (y – 1) + 4 (z + 1) = 0
x – 3y + 2z + 3 = 0 1 m
Vector from: 03k2j3ir
^^^








1 m
19. No’s divisible by 6 ..................... = 16 1m
No’s divisible by 8 ..................... = 12 1m
No’s not divisible by 24 .............. = 20 1m
Required probabilty
5
1
100
20
 1 m
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241
SECTION - C
20. Ra)(a,,AaeveryFor 
2bydivisibleis0aa 
reflexiveisR 1 m
Aba,allFor 
bydivisibleisbaRb)(a,  2
bydivisibleisab  2
 symmetricisRRa)(b,  1 m
Acb,a,allFor 
  bydivisibleisbaRba,  2
  bydivisibleiscbRcb,  2
2kbaSo,  1 m
m2ca
2cb

 
bydivisibleisca  2
  Rc,a 
transitiveisR 1 m
 and53,1,ofelementsShowing 1 m
othereachtorelatedare4}{2,
    othereachtorelatednotare42,and53,1,and 1 m
21. Graph 2 + 2 m
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242
Area ofshaded reigon
       
2
0
2
1
0
1-
dx1x2dxx3dx1xx3 1 m
     
2
1
2
2
0
2
0
1
2
2
1x
2
2
x3
2
1x
2 










  unitssq.4191
2
1
1  1 m
22. 2
x1
x
y


 22
2
x1
x1
dx
dy


 2 m
 
 22
2
x1
x1
xfLet



   
 
0
x1
x32x
0xf 32
2




  3xor0x0x3xminormaxFor 2
 2 m
00xat
dx
f(x)d
gCalculatin 2
2

03xat 
1 m
maximalocalofpointtheis0x 
0)(0,isptrequiredthe
1 m










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243
23. 2
2
xxy
y
dx
dy


dx
dv
xv
dx
dy
vx,yLet  ½ m
1v
v
dx
dv
xv
2

 1½ m
1v
v
dx
dv
x


dv
v
1v
x
dx





 
 1½ m
dv
v
1
–1
x
dx
  






cvlogvxlog  1 m
xcyylogxorc
x
y
ylog  1½ m
OR
xtany
dx
dy
2xsin 
2xsin
xtan
x2sin
y
dx
dy
 1 m
 
2
xsec
2xcosecy
dx
dy 2

xsec
2
1
Q2x,cosecP 2

  dx2xcosecdxP
xtanlog
2
1

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244
xtan
1
eSo
dxP

1½ m
Solutionis
















  dt
xtan
dxxsec
txtan
2
1
xtan
dxxsec
2
1
xtan
y 22
1½ m
cxtan
xtan
y
 1 m
Getting 1c  ½ m
xtanxtany  ½ m
24. planeofEqn.
    054z3y2xλ6zyx  2 m
 11,1,throughpassesit
14
3
λ014λ3  2 m
bewillplaneofEqn.
06926z23y20x  1 m
69k26j23i20r:fromvector
^^^








1 m
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245
25. Let E1
bethe event offollowingcourse of
meditation and yoga and E2
bethe event offollowing
course ofdrugs 1 m
   
2
1
EP,
2
1
EP 21  1 m
   
100
40
100
75
EAP
100100
4070
EAP 21 


 1 m
Formula 1 m
 















100
75
2
1
100
70
2
1
100
40
100
70
2
1
100
40
AEP 1
2 m
29
14
145
70

26. Let the no. of items in the item A = x
Let the no. of items in the item B = y
(Maximize) z = 500 x + 150 y 1 m
60yx 
50,000y500x2500  Graph 2 m
0yx, 
  000,z 
  12,5005010,z 
10,0000)(20,z  2 m
9,00060)(0,z 
12,500Rs.ProfitMax.  1 m





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246
OR
Let the no. of packets offood X = x
Let the no. of packets of food Y = y
(minimize) P = (6x + 3y) 1 m
subject to
2403y12x 
46020y4x 
0yx,300,4y6x 
or
80y4x 
1155yx 
2 m
1502y3x 
0yx, 
Correct points
offeasible
region
A (15, 20), B (40, 15),
C (2, 72)
So P (15, 20) = 150
P (40, 15) = 285
P (2, 72) = 228
Graph 2 m
minimumamount ofvitaminA = 150 units when15 packets offood X and
20 packets offoodY are used 1 m





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247
MATHEMATICS
Time allowed : 3 hours Maximum Marks : 100
General Instructions:
(i) All questions are compulsory.
(ii) Please check that this Question Paper contains 26 Questions.
(iii) Marks for each question are indicated against it.
(iv) Questions 1 to 6 in Section-A are Very Short Answer Type Questions carrying
one mark each.
(v) Questions 7 to 19 in Section-B are Long Answer I Type Questions carrying
4 marks each.
(vi) Questions 20 to 26 in Section-C are Long Answer II Type Questions carrying
6 marks each
(vii) Please write down the serial number of the Question before attempting it.
QUESTION PAPER CODE 65(B)
SECTION A
Question numbers 1 to 6 carry 1 mark each.
1. The position vectors of points Aand B are 2

 b3a and

b4–a3 respectively
and PdividesAB intheratio of3 :2 and Q isthemid-point ofAP.Write theposition
vector ofpoint Q. 1
2. Ifthe vector kˆ5jˆ3–iˆλa 

and vector kˆ–jˆλiˆ2b 

areperpendicular, then
find thevalue of . 1
3. IfP(3, 4, 2) is the foot ofthe perpendicular from the origin to a plane, thenwrite
the Cartesianequationofthe plane. 1
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248
4. If
765
321
432
|a|Δ ij  , thenwrite the cofactor ofelement a23
. 1
5. IfAand B are order and degree respectively of the differential equation
2
24
dx
yd
2y
dx
dy





 = 0, write the value of(A+B). 1
6. Find the differentialequation representing the curves y= ax + x2
, where a is an
arbitraryconstant. 1
SECTION B
Question numbers 7 to 19 carry4 marks each.
7. To promote themaking oftoilets forladies(women) invillages, anN.G.O. hired an
advertisingagencyforgeneratingawarenessforthecausethroughhousecalls, letters
and announcements through speakers. The cost per mode of communication is
givenbelow:
Cost per House calls Letters Announcements
visit/communication (speakers)
(in `) 10 5 15
The number ofcontacts made were asfollows in the threevillages X, Yand Z :
Village Housesvisited Letters dropped Number of
announcements
X 200 400 200
Y 350 600 300
Z 225 375 150
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249
Find the totalexpenditure incurred bythe N.G.O. for the three villages separately
for making'the communityaware ofthe cause using matrices.
Also write the value generated inthe generalpublic bythe agency. 4
8. IfA= 





21–
1–2
and AA
2
– A+  I = O, then find the values of  and . 4
OR
If A=










431
341
331
, find adj (A) and show that A(adjA) = |A| I.
9. Using theproperties ofdeterminants, prove the following :
3
a
3c6b10a3b6a3a
2c3b4a2b3a2a
cbabaa














4
10. Evaluate:
 
π/4
0
dxx)tan(1log 4
11. Evaluate:
2
π
x0dx;e
xcos1
xsin–1 x/2–

 4
OR
Evaluate:
dx
65x–x
1x
2
2
 

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250
12. Ten cards, numbered 1 to 10 are placed in a box, mixed up thoroughlyand then
one card is drawn randomly. If it is known that the number on the drawncard is
'more than5', what is the probabilitythat it is an even number? 4
13. Find the magnitudeoftwo vectors

banda , having the same magnitude and such
that the angle between themis 60° and their scalar product is
2
1
. 4
14. Find the shortest distance between the lines l1
and l2
, whosevector equations are
givenbelow:
l1
:  kˆjˆ–iˆ2λjˆiˆr 

, l2
:  kˆ2jˆ5–iˆ3μkˆ–jˆiˆ2r 

. 4
15. If y = cot–1    xcostan–xcos 1–
, prove that sin y = tan2 





2
x
.
OR
Solve forx :
 7–tan
1–
tan
1–
1
tan 1–1–1–











 
x
x
x
x
16. If y = (3 cot–1
x)2
, show that
    18
dx
dy
1x2
dx
yd
1x 2
2
2
22
 x 4
OR
Show that the function f(x) = | x – 3 |, x  R, is continuous but not differentiable at
x = 3.
17. If y =
dx
dy
find,x
x
1
x x
1
x
x













 . 4
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251
18. Find a point on the curve y= (x – 2)
2
at whichthe tangent is parallelto the chord
joining the points (2, 0) and (4, 4).Also find the equationofthe tangent.
19. Evaluate:
   dxx–x656x 2
SECTION C
Question numbers 20 to 26 carry6 marks each.
20. Let  be the set of real numbers and f:  is given by f(x) = 3x + 2 and g:
 is given byg (x) =
1x
x
2

, then find
(i) fog
(ii) fof
(iii) gog 6
OR
Let Aand B be two sets. Show that f :A× B  B ×Asuch that f (a, b) = (b, a) is
a bijective function.
21. Find the area bounded bythe ellipse 2
2
2
2
b
y
a
x
 = 1 and the ordinates x= 0 and x= ae,
where b2
= a2
(1– e2
), and e < 1. 6
22. Find theparticular solutionofthedifferentialequation
x cos
dx
dy
x
y






= y cos 





x
y
+ x, given that y =
4
π
,when x = l. 6
OR
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252
Find the generalsolution ofthedifferentialequation
dx
dy
– y= cosx.
23. Find the vectorequationofthe planepassing through the intersectionofthe planes
    9kˆ3jˆ5iˆ2r,7kˆ3–jˆ2iˆ2r 

and through the point (2, 1, 3). 6
24. Two bags I and II are given. Bag I contains 3 red and 4 black balls while bag II
contains 5 red and 6 black balls.Aballis drawn at random from one ofthe bags
and is found to be black. Find the probabilitythat it was drawn frombag II. 6
25. Kamlesh wants to invest an amount up to ` 50,000. In the market, two types of
BondsAand B are available - BondAoffering 10% return on the investment and
Bond B pays 15%onthe amount invested. She wants to invest at least `15,000 in
BondAandnot more than`20,000 inBond B.Howshouldsheplantheinvestment
inthetwo bonds to getmaximumreturnontheinvestment ?Formulate theaboveas
a linearprogramming problem. 6
26. Find two such positive numbers whosesumis 16 and the sumofwhose cubes is
minimum. 6
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253
Senior School Certificate Examination
March — 2015
Marking Scheme ---- Mathematics 65(B)
General Instructions :
1. TheMarkingSchemeprovides generalguidelinesto reduce subjectivityinthemarking. The
answersgivenintheMarkingSchemearesuggestive answers.Thecontentis thusindicative.
Ifa student hasgivenanyotheranswer whichis different fromthe one giveninthe Marking
Scheme, but conveys the meaning, suchanswers should be givenfullweightage.
2. Evaluation is to be done as per instructions provided inthe marking scheme. It should not
be done according to one's own interpretation or any other consideration __ Marking
Scheme shouldbe strictlyadhered to and religiouslyfollowed.
3. Alternative methods are accepted. Proportionalmarks are to be awarded.
4. Inquestion(s)ondifferentialequations, constant ofintegrationhasto be written.
5. If a candidate has attempted an extra question, marks obtained in the question attempted
first should be retained and the other answer should be scored out.
6. A full scale of marks - 0 to 100 has to be used. Please do not hesitate to award full
marks if the answer deserves it.
7. Separate Marking Scheme for allthe three sets has been given.
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254
QUESTION PAPER CODE 65(B)
EXPECTEDANSWERS/VALUE POINTS
SECTION -A
1. P.V. of P = 






2
3
PB
AP
5
b6–a13


½ m
P.V. of Q = 






1
1
QP
AQ
b
10
9
a
10
23


½ m
2. baas0ba

 ½ m
05–λ3–λ2 
5–λ  ½ m
3. D.R. of normalto plane 3 , 4 , 2 ½ m
Also point (3, 4, 2) lies on plane
3x + 4y + 2z + d = 0
 d = – 29
So cartesian Equationofplane is
3x + 4y + 2z – 29 = 0 ½ m
4.
765
321
432
A 
3
65
32
(–1)a 32
23  
1 m
5. Order = 2 ½ m
or Degree = 1
So A + B = 3 ½ m
Marks
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255
6. y = a x + x2
y1
= a + 2x
y1
– 2x = a ½ m
So y = (y1
– 2x) x + x2
 xy1
= y + x2
½ m
SECTION - B
7. TotalExpenditureincurred for villages x,y, z
are































6375
000,11
7000
15
5
10
150375225
300600350
200400200
2 m
So Expenditure onvillage x = 7000
So Expenditure onvillage y = 11,000 1 m
So Expenditure on village z = 6375
habitshygehicaboutionSensitizat:Value ..... or Anyother relevant value 1 m
8. 






21–
1–2
A







54–
4–5
A2
1 m
0IμAλ–A2


























00
00
μ0
0μ
λ2λ–
λ–λ2
–
54–
4–5
1 m
1 m






0λ4–
0μλ2–5
3μ
4λ


1 m
OR





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256











431
341
331
A
1
431
341
331
A 
1 m
1c0c1–c
0c1c1–c
3–c3–c7c
332313
322212
312111














101–
011–
3–3–7
AAdj
1½ m





















101–
011–
3–3–7
431
341
331
A)(adjA
½ m











100
010
001
.................................... (i)
1ASince 











100
010
001
IASo .................................... (ii) ½ m
(ii)&(i)from
IAA)(adjA  ½ m
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257
9.
3c6b10a3b6a3a
2c3b4a2b3a2a
cbabaa



133122 R3–RR,R2–RR 
3b7a3a0
b2aa0
cbabaa




3 m
3b7a3a
b2aa
a



3b7a3
b2a1
a2



 3b–6a–3b7aa2

3
a 1 m
10.   
4
π
0
dxxtan1logI
 












4
π
0
dxx–
4
π
tan1log 1 m
 







4
π
0
dx
xtan1
xtan–1
1log
 







4
π
0
dx
xtan1
2
log 1 m
   
4
π
0
dxxtan1log–2log
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258

4
π
0
I–dx2logI 1 m
2log
4
π
2I 
2log
8
π
Ior  1 m
11.
2
π
x0;dxe
xcos1
xsin–1 2
x–


 

 dxe
2
x
cos2
2
x
cos
2
x
sin–
2
x–
2 1 m
 





 dxe
2
x
sec
2
x
tan
2
x
sec–
2
1 2
x–
1 m
dtdx
2
1–
t
2
x
–Put


   dtettantsectsec– t
ctsece– t
 1 m
c
2
x–
sece–
2
x–







c
2
x
sece–
2
x–






 1 m
OR
 

dx
65–x
1x
2
2
x
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259
   












 dx
3–2–x
5–5x
1dx
65–x
5–5x
1 2
xx 1 m
   dx
3–x
10
dx
2–x
5–
dx 1½ m
c3–xlog102–xlog5–x  1½ m
12. S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Event A: No. on card is ‘more than 5’ 1 m
A = {6, 7, 8, 9, 10}
Event B : Even no. on card
B = {2, 4, 6, 8, 10}
P(B/A) =
 
 AP
ABP 
1 m
5
3
10
5
10
3
 2 m
13. baGiven


b&abetweenangleθ,
2
1
60cosθcos o

 1 m
2
1
ba 

ba
ba
θcosUse 



2
a
2
1
ba
2
1
2
1
  1 m
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260
1a
2


1ba 

2 m
14.  kˆjˆiˆ2λjˆiˆr1 

 kˆ2jˆ5–iˆ3μkˆ–jˆiˆ2r2 

dc
dca–b
r&rbetweenS.D. 21 





1 m
   
25–3
11–2
1–01
dca–b 

1 m
10
25–3
11–2
kˆjˆiˆ
dc 

kˆ7–jˆ–iˆ3
59dc 

1 m
units
59
10
59
10
S.D.Hence  1 m
15.    xcostan–xcoscoty –1–1

  






2
π
xtanxcotxcostan2–
2
π
y 1–1–1–
 1 m
 xcostan2–
2
π
–yor 1–

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261








xcos1
xcos–1
cosy–
2
π
or 1–















 2
2
1–1–
x1
x–1
cosxtan2 1 m
2
xcos2
2
xsin2
y–
2
π
cosor 2
2






1 m







2
x
tanysinor 2
1 m
provedHence
OR
 7–tan
x
1–x
tan
1–x
1x
tan 1–1–1–











 
 7–tan
x
1–x
1–x
1x
–1
x
1–x
1–x
1x
tan 1–1–
























 


1 m
 7–tan
x–1
x–12x
tanor 1–
2
1–





 
1 m
 x–17–x–12xor 2
 ½ m
088x–2xor 2

  02–xor
2

2x  1 m
since x =2 does not satisfythe givenequation.
Hence no solution ½ m
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262
16.  21–
xcot3y 
  






 2
1–
1
x1
3–
xcot32y
2
1–
x1
xcot
18–

 2 m
  xcot18–x1yor 1–2
1 
  21
2
2
x1
18
xy2x1yor

 1 m
    18yx1x2x1yor 1
222
2  1 m
OR
3x3,–xf(x)
Rx,3–xf(x)


  3x,3–x 
continuityshowTo
f(3)f(x)ltf(x)lt –
3x3x

  1 m
03–xltf(x)lt
3x3x

 
  03–x–ltf(x)lt
3x3x –


03–3f(3) 
So f(x) is continuous at x= 3 1 m
For derivability at x = 3 need to show that
R.H.D = LHD
In this case
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263
1
h
h
lt(3)R.H.D
0h


1–
h–
h
lt(3)L.H.D
0h


1 m
So func is not differentiable at x = 3 1 m
17.













 x
1
1
x
x
x
1
xy
xlog
x
1
1
x
1
xlogx
eeyor













 1 m

































x
1
1
x
1
–1x
x
1
1loge
dx
dy 2
x
1
xlogx
































x
1
x
1
1log
x
1–
e 2
xlog
x
1
1




















1x
1–x
x
1
xlog
x
1
x 2
2x
1½+1½ m
  




 
 






2
2
x
1
1
x
xlog–1x
x
18. y = (x – 2)
2
dx
dy
= 2 (x – 2) 1 m
Let (x1
, y1
) be the point ofcontact
)y,(x 11
dx
dy
= 2 (x1
– 2)
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264
Slope of chord = m =
2–4
0–4
= 2
2 (x1
– 2) = 2
 x1
= 3
since (x1
, y1
) lies on curve y = (x – 2)
2
So y1
= (3 – 2)
2
= 1
So point ofcontact is (3, 1) 2 m
Also, equationoftangent is
y – 1 = 2 (x – 3)
or y – 2x + 5 = 0 1 m
19. dxx–x65)(6xI 2
 
6x + 5 = A(1 – 2x) + B
 A = – 3, B = 8 1 m
So, I = – 3   dxx–x68dxx–x62x)–(1 22
  dx
2
1
–x–
2
5
8x–x62–
22
2
3
2
 











 1 m
    












5
1–2x
sin
2
25
x–x61–2x
4
8
x–x62– 1–22
3
2
1 m
    c
5
1–2x
sin
2
25
x–x61–2x2x–x62– 1–22
3
2












 1 m
SECTION - C
20. RR:f,23x(x)f 
RR:g,
1x
x
(x)g 2



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265
  RR:fog,g(x)f(x)fog(i) 








1x
x
f 2
2
1x
x
3 2








1x
23x2x
2
2


 2 m
  RR:fof,f(x)f(x)fof(ii) 
 23xf 
  223x3 
89x  2 m
  RR:gog,g(x)g(x)gog(iii) 








1x
x
g 2
 
42
2
2
2
2
x13x
1xx
1
1x
x
1x
x











 
13xx
1xx
24
2


 2 m
OR
s.t.ABBA:f 
   ab,ba,f 
one–oneisfshowTo
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266
s.t.BAinelementarbitranyanybed)(c,&)b,(a,Let 
Aca,,ca 
Bdb,,db 
a)(b,b)f(a,then  1 m
c)(d,d)f(c, 
c)ad,b(c)(d,a)(b,  
d)f(c,b)f(a, 
oneoneisf  .......................... (i) 2 m
ontoisf
B,b,Aa 
ABa)(b, 
BAb)(a, 
ontoisfSo ............................. (ii) ½ m
Hence, from(i) & (ii)
fisbijective function ½ m
21. Area = 
ae
0
dxy

ae
0
22
dxx–a
a
b
2 1 m

ae
0
22
dxx–a
a
2b
1 m
ae
0
1–
2
22
a
x
sin
2
a
x–a
2
x
a
2b












 2 m
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267
0–esin
2
a
)e–(1a
2
ae
a
2b 1–
2
22






 1 m
 esinaebb 1–

esinabebor 1–2
 1 m
22. x
x
y
cosy
dx
dy
x
y
cosx 


















x
y
sec
x
y
dx
dy
or 1 m
dx
dv
xv
dx
dy
vxyPut  1 m
vsec
dx
dv
x 
x
dx
dvvcos  1 m
 
x
dx
dvvcos
cxlogvsinor  1 m
1x,
4
π
ywhen 
c1log
2
1
 1 m
2
1
c 
2
1
xlog
x
y
sinissolutionParticular 





1 m
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268
OR
xcosy–
dx
dy

x–dx–
eeI.F.  






(x)QPy
dx
dy
forminisequation
andxcosQ1,–PHere
1 m
issolutiongeneralSo
cdxxcoseey x–x–
  ................... (i) 1 m
consider
 dxexsin–excos–dxxcoseI x–x–x–
 
  dxexcosexsin––excos– x–x–x–
2 m
  cexsinxcos–I2 x–

ce
2
xcos–xsin
I x–






 .......................... (ii) 1 m
D.E.givenofsolutiongeneral(ii),&(i)From is
ce
2
xcos–xsin
ey x–x–






 1 m
x
cexcos–xsin2yor 
23. Given planes are
2x + 2y – 3z – 7 = 0
and 2x + 5y + 3z – 9 = 0
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269
Equation ofplanepassing throughintersectionoftwo given planes is
(2x + 2y – 3z – 7) + k (2x + 5y + 3z – 9) = 0 1½ m
or (2+ 2k) x + (2 + 5k) y + (– 3 + 3k) = – 7 – 9 k = 0 1 m
This plane passes through point (2, 1, 3)
So (2 + 2k) (2) + (2 + 5k) (1) + (– 3 + 3k) (3) – 7 – 9k = 0
– 10 + 9k = 0 2 m
or k =
9
10
So equationofplane is
      0
9
109
–7–z
9
103
3–y
9
105
2x
9
10
22 
























38x + 68y + 3k – 153 = 0 1 m
Hence vec. equ. ofplane passing throughthe intersection ofplane is
  153kˆ3jˆ68iˆ38r 

½ m
24. E1
: Ballfrombag I
E2
: Ballfrombag II 1 m
E3
: Drawing black ball
P(E1
) = P(E2
) =
2
1
P(B/E1
) =
7
4
, P(B/E2
) =
11
6
2 m
Prob. ofballdrawn found to be black, drawn frombag II
P(E2
/B) =
)(B/EP)(EP)(B/EP)(EP
)(B/EP)(EP
2211
22


1 m
=


















11
6
2
1
7
4
2
1
11
6
2
1
=
43
21
1+1 m
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270
25.
y15%BBond
x10%ABond
InvestmentReturns
L.P.P. is
objective func. z = y0.15x0.1y
100
15
x
100
10
 2 m
Subject to
x + y < 50,000 1 m
x > 15,000 1 m
y < 20,000 1 m
x, y > 0 1 m
26. Let the two numbers be x and y
x + y = 16
f (x) = x3
+ y3
= x3
+ (16– x)3
1½ m
(x)f = 3x2
+ 3 (16– x)2
(– 1)
= 96x – 768 1½ m
(x)f = 0  x = 8 1 m
So x =8 maybe point ofmaximumor minimum
consider (x)f  = 96 > 0 1 m
 x = 8 is point ofminima
when x = 8, y = 8
So 8 and 8 are numbers suchthat their sumis 16 and
sumoftheircubes is minimum. 1 m
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271
ECONOMICS
Time allowed : 3 hours Maximum Marks : 100
General Instructions:
(i) All questions in both the sections are compulsory.
(ii) Marks for questions are indicated against each question.
(iii) Question Nos. 1 -3 and 15 - 19 are very short-answerquestions carrying 1mark
each. They are required to be answered in one sentence each.
(iv) Question Nos. 4 - 8 and 20 - 22 are short-answer questions carrying 3 marks
each. Answer to them should normally not exceed 60 words each.
(v) Question Nos. 9 - 10 and 23 - 25 are also short-answer questions carrying
4 marks each. Answer to them should normally not exceed 70 words each.
(vi) Question Nos. 11 - 14 and 26 - 29 are long-answer questions carrying 6 marks
each. Answer to them should normally not exceed 100 words each.
(vii) Answers should be brief and to the point and the above word limits should be
adhered to as far as possible.
QUESTION PAPER CODE 58/1/1
SECTION -A
1. Give equationofBudget Line. 1
2. Whenincome ofthe consumer falls theimpact onprice-demand curve ofan inferior
good is :(choose the correct alternative)
(a) Shifts tothe right.
(b) Shifts to the left.
(c) There is upwardmovement along the curve.
(d) There is downward movement along the curve. 1
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272
3. IfMarginalRate ofSubstitutionisconstant throughout, the Indifferencecurve will
be : (choosethe correct alternative) 1
(a) Parallelto the x-axis.
(b) Downward sloping concave.
(c) Downward sloping convex.
(d) Downwardslopingstraight line.
4. Giving reasoncomment onthe shapeofProduction Possibilities curve based onthe
followingschedule: 3
Good X(units) GoodY(units)
0 10
1 9
2 7
3 4
4 0
5. What willbe the impact ofrecentlylaunched 'Clean India Mission' (Swachh Bharat
Mission) ontheProductionPossibilities curve oftheeconomyand why? 3
Or
What willlikelybetheimpact oflargescaleoutflowofforeigncapitalonProduction
Possibilities curve ofthe economyand why?
6. The measure ofpriceelasticityofdemandofa normalgood carries minus sign while
price elasticityofsupplycarries plussign. Explainwhy? 3
7. There are large number of buyers in a perfectly competitive market. Explainthe
significance ofthis feature. 3
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273
8. Explainthe effects of'maximumpriceceiling'onthemarket ofa good. Use diagram. 3
For the blind candidates only in lieu of Q. No.8.
What is price ceiling?Explain the effects ofmaximumprice ceiling.
9. A consumer spends Rs. 1000 ona good priced at Rs. 8 per unit. Whenprice rises
by25 percent, the consumer continuesto spend Rs. 1000 onthe good. Calculate
price elasticityofdemand bypercentage method. 4
10. Define cost. State the relation betweenmarginalcost. and averagevariable cost. 4
Or
Define revenue. Statethe relationbetween marginalrevenueand average revenue.
11. Aconsumer consumesonlytwo goods XandYbothpricedat Rs. 3 perunit. Ifthe
consumer chooses a combination of these two goods with Marginal Rate of
Substitutionequalto 3, is the consumer inequilibrium? Give reasons. What willa
rationalconsumer do inthis situation?Explain. 6
Or
Aconsumer consumes onlytwo goods X andYwhose prices are Rs. 4 and Rs. 5
per unit respectively.Ifthe consumer choosesa combinationofthetwo goods with
marginalutilityofXequalto 5andthat ofYequalto 4,istheconsumerinequilibrium?
Give reasons. What willa rationalconsumerdo inthissituation?Use utilityanalysis.
12. State the different phases ofchanges inTotalProduct and MarginalProduct inthe
Law ofVariable Proportions.Also showthe same in a single diagram. 6
Forthe blind candidates in lieu of Q. No. 12 only.
State, on the basis of a numerical example, different phases ofchanges inTotal
Product and MarginalProduct in the LawofVariable Proportions. 6
13. Whyis the equalitybetween marginal cost and marginal revenue necessaryfor a
firmto be inequilibrium?Isit sufficient to ensureequilibrium?Explaain. 6
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274
14. Market for a good is inequilibrium.The demand for the good 'increases'. Explain
the chainofeffects ofthis change. 6
SECTION B
15. What is 'aggregate supply' in macroeconomics? 1
16. The value ofmultiplier is : (choosethe correct alternative) 1
(a)
MPC
1
(b)
MPS
1
(c)
MPS–1
1
(d)
1–MPC
1
17. Borrowing in government budget is : (choosethe correct alternative) 1
(a) Revenuedeficit
(b) Fiscaldeficit
(c) Primarydeficit
(d) Deficit intaxes
18. The non-taxrevenue inthe followingis : (choose thecorrect alternative) 1
(a) Export duty
(b) Import duty
(c) Dividends
(d) Excise
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275
19. Other thingsremaining unchanged, whenina countrythe priceofforeigncurrency
rises, nationalincome is : ( choosethe correct alternative) 1
(a) Likelyto rise
(b) Likelyto fall
(c) Likelyto rise and fallboth
(d) Not affected
20. IfRealGDPis Rs.200 and Price Index(with base = 100) is 110, calculate Nominal
GDP. 3
21. Name the broad categories oftransactions recorded in the 'capitalaccount' ofthe
Balance ofPaymentsAccounts. 3
Or
Name thebroad categories oftransactions recorded in the 'current account'ofthe
Balance ofPaymentsAccounts.
22. Where willsale ofmachineryto abroad be recorded in the Balance of Payments
Accounts? Give reasons. 3
23. Explain the 'bankofissue' function ofthe centralbank. 4
Or
Explain'Government's Bank'functionofcentralbank.
24. Government of India has recently launched 'Jan-Dhan Yojna' aimed at every
household inthe countryto have at least one bank account. Explainhow deposits
made under the planare going to affect nationalincomeofthe country. 4
25. Aneconomyisinequilibrium. Calculate nationalIncomefromthe following: 4
Autonomousconsumption = 100
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276
Marginalpropensityto save = 0.2
Investment expenditure = 200
26. Giving reasonexplainhow should thefollowing be treated inestimation ofnational
income:
(i) Expenditure bya firmon payment offeesto achartered accountant
(ii) Payment ofcorporate tax bya firm
(iii) Purchase ofrefrigerator bya firmfor ownuse
27. Explain the concept ofInflationaryGap. Explainthe role ofRepo Rate in reducing
thisgap. 6
Or
Explaintheconcept ofDeflationaryGapand the role of'OpenMarket Operations'
inreducingthis gap.
28. Explainthe rolethegovernment canplaythroughthebudget ininfluencingallocation
ofresources. 6
29. Calculate NationalIncome and PersonalDisposable Income :
(Rs. crores)
(i) Personaltax 80
(ii) Private finalconsumptionexpenditure 600
(iii) Undistributed profits 30
(iv) Private income 650
(v) Government finalconsumptionexpenditure 100
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277
(vi) Corporate tax 50
(vii) Net domesticfixed capitalformation 70
(viii) Net indirect tax. 60
(ix) Depreciation 14
(x) Change instocks (-)10
(xi) Net imports 20
(xii) Net factor income to abroad 10
QUESTION PAPER CODE 58/1
SECTION -A
1. Define indifference curve. 1
2. Ifdue to fallin the price ofgood X, demand for good Yrises, the two goods are:
(Choose thecorrect alternative) 1
(a) Substitutes
(b) Complements
(c) Not related
(d) Competitive
3. IfMarginalRate ofSubstitution is increasing throughout, the IndifferenceCurve
willbe :(Choose the correct alternative) 1
(a) Downward slopingconvex
(b) Downward sloping concave
(c) Downwardslopingstraight line
(d) Upward sloping convex
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278
4. Giving reason comment on the shape ofProduction Possibilities Curve based on
the followingschedule: 3
Good X(units) GoodY(units)
0 30
1 27
2 21
3 12
4 0
5. What islikelyto be theimpact of"Make inIndia" appealto the foreigninvestors by
the PrimeMinisterofIndia, ontheproductionpossibilitiesfrontierofIndia?Explain.
OR
What is likelyto be the impact of efforts towards reducing unemployment on the
productionpotentialofthe economy?Explain. 3
6. Explainthe significanceof'minus sign'attachedto the measure ofprice elasticityof
demand in case of a normal good, as compared to the 'plus sign' attached to the
measure ofpriceelasticityofsupply. 3
7. In a perfectlycompetitive market the buyers treat products ofallthe firms ashomo-
geneous. Explainthesignificance ofthis feature. 3
8. What are the effects of'price-floor'(minimumpriceceiling) on themarket ofa good?
Use diagram. 3
Note: The following question is for the Blind Candidates only. in lieu of Q.No.8.
Explain the effects of'price-floor' (minimumpriceceiling) onthe market ofa good. 3
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279
9. A consumer spends ` 1,000 on a good priced at ` 10 per unit. When its price falls
by20 percent,theconsumerspends ` 800onthegood.Calculatetheprice elasticity
ofdemand bythe Percentage method. 4
10. What is thebehaviour of(a)Average Fixed Cost and (b)AverageVariable Cost as
more and more units ofagood are produced?
OR
DefineAverage Revenue. Show thatAverage Revenue and Price are same. 4
11. Aconsumer consumes onlytwo goods X andY, both priced at ` 2 per unit. Ifthe
consumerchoosesacombinationofthetwogoodswithMarginalRateofSubstitution
equalto 2, is the consumer in equilibrium? Whyor whynot? What willa rational
consumer do inthissituation?Explain.
OR
A consumer consumes only two goods X and Y whose prices are ` 5 and ` 4
respectively.Iftheconsumer chooses acombinationofthetwo goodswithmarginal
utilityofX equalto 4and that ofYequalto 5, isthe consumer inequilibrium?Why
or whynot ?What willa rationalconsumer do in this situation?Useutilityanalysis. 6
12. What are the different phases in the Law of Variable Proportions in terms of
marginalproduct?Give reason behind eachphase. Use diagram. 6
Note: The following question is for the Blind Candidates only in lieu of Q.No.12.
Explain withthe helpofa numericalexampledifferent phases inthe Law ofVariable
Proportions. 6
13. Explainwhywilla producernot be inequilibriumiftheconditions ofequilibriumare
not met. 6
14. Market for a good is in equilibrium. The supplyof good "decreases". Explain the
chainofeffects ofthis change. 6
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280
SECTION B
15. What is 'aggregatedemand'in macroeconomics? 1
16. IfMPC= 1, the value ofmultiplier is: (Choose the correct alternative) 1
(a) 0
(b) 1
(c) Between 0 and 1
(d) Infinity
17. Primarydeficit ina government budget is(Choose thecorrect alternative) 1
(a) Revenue expenditure - Revenue receipts
(b) Totalexpenditure -Totalreceipts
(c) Revenue deficit - Interest payments
(d) Fiscaldeficit - Interest payments
18. Direct taxis called direct because it is collected directlyfrom: (Choose the correct
alternative) 1
(a) The producers on goods produced
(b) The sellers on goods sold
(c) The buyers ofgoods
(d) The income earners
19. Other things remaining the same, when in a country the market price offoreign
currencyfalls, nationalincome is likely: (Choosethe correct alternative) 1
(a) to rise
(b) to fall
(c) to rise or to fall
(d) to remainunaffected
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281
20. Ifthe RealGDP is ` 400 and NominalGDP is ` 450, calculate the Price Index
(base = 100). 3
21. What are fixedand flexible exchange rates? 3
OR
Explainthemeaning ofManaged Floating Exchange Rate.
22. Where is 'borrowings fromabroad' recorded in the Balance ofPaymentsAccounts?
Give reasons. 3
23. Explainthe"Bankers' Bank function" ofthe centralbank. 4
OR
Explainthe "BankofIssue function" ofthe centralbank.
24. Currencyis issued bythe centralbank, yet we saythat commercialbanks create
money. Explain. How is this moneycreationbycommercialbankslikelyto affect
the nationalincome?Explain. 4
25. An economy is in equilibrium. Calculate the Investment Expenditure from the
following: 4
NationalIncome = 800
MarginalPropensityto Save = 0·3
Autonomous Consumption= 100
26. Giving reasonexplainhow the followingshould be treated inestimation ofnational
income: 6
(i) Payment ofinterest bya firmto a bank
(ii) Payment ofinterest bya bank to anindividual
(iii) Payment ofinterest byanindividualto a bank
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282
27. What is 'deficient demand' ? Explain therole of'Bank Rate'in removing it. 6
OR
What is 'excess demand' ? Explain therole of'Reverse Repo Rate'in removing it.
28. Explain howthe government canusethe budgetarypolicyinreducing inequalities
inincomes. 6
29. Calculate the'NationalIncome' and 'Private Income' : 6
(` crores)
(i) Rent 200
(ii) Net factor income to abroad 10
(iii) Nationaldebt interest 15
(iv) Wages and salaries 700
(v) Current transfersfromgovernment 10
(vi) Undistributed profits 20
(vii) Corporationtax 30
(viii) Interest 150
(ix) Socialsecuritycontributions byemployers 100
(x) Net domestic product accruing to government 250
(xi) Net current transfers to rest ofthe world 5
(xii) Dividends 50
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283
Marking Scheme — Economics
General Instructions
1. Please examine eachpart ofa questioncarefullyand thenallocate the marks allotted for
the part as given in the marking scheme below. TOTALMARKS FORANYANSWER
MAYBE PUTINACIRCLE ONTHE LEFT SIDE WHERE THEANSWER ENDS.
2. Expected suggested answers have been given in the Marking Scheme. To evaluate the
answers the valuepoints indicated inthe marking scheme be followed.
3. Forquestionsaskingthecandidatetoexplainordefine,thedetailedexplanationanddefinition
have beenindicated alongwiththe value points.
4. For mere arithmeticalerrors,thereshould beminimaldeduction. Only½ mark be deducted
for suchan error.
5. Wherever onlytwo / three ora "given" number ofexamples / factors /points are expected
onlythe first two / three or expected number should be read. The rest are irrelevant and
must not be examined.
6. There should be no effort at "moderation" ofthe marks bythe evaluating teachers. The
actualtotalmarks obtained bythe candidate maybe ofno concernto the evaluators.
7. Higher order thinkingabilityquestions are assessing student's understanding / analytical
ability.
General Note : In case of numerical question no mark is to be given if only the final
answer is given.
QUESTION PAPER CODE 58/1/1
Q.No. EXPECTEDANSWERS/VALUE POINTS Distribution
Section – A
of marks
1 p1
x1
+ p2
x2
= m 1
2 (a) Shifts tothe right. 1
3 (d) Downwardslopingstraight line 1
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284
4 Good X GoodY
(Units) (Units) MRT
0 10 -
1 9 1Y:1X
2 7 2Y:1X
3 4 3Y:1X
4 0 4Y:1X l½
Since MRT is increasing, the PPcurve is downward sloping and Concave to the
origin. l½
(Diagram not required)
5 Cleanliness reduceschances ofpeople fallingilland, thus canensure better health.
This in turn willreduce forced absenteeismfromwork, raise efficiencylevel and
thusraise country'sproductionpotential. Rise inthis potentialshiftsPPcurve to the
right. 3
(Diagram not required)
OR
Large scaleoutflow offoreigncapitalfromthe economywillreduce resources and
thus productionpotentialofthecountrywillfall. Fallinproductionpotentialinturn
willshift the PP-Curve downwards. 3
(Diagram not required)
6 The measure ofprice elasticityofdemand has a minus signbecausethere is inverse
relation between price and demand ofanormalgood, while themeasure ofprice
elasticityofsupplyhas plus sign becausethere is direct relationbetweenprice and
supplyofa good. 3
7 The feature signifies that the number ofbuyers ina perfectlycompetitive market is
so largethat anyindividualbuyerisnot inapositionto influence themarket priceon
its ownbypurchasing more orless. It is becausethe individualbuyer's shareintotal
purchase inthemarket is insignificant. 3
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285
8
1
Maximumpriceceiling refers to impositionofupper limit onthe price ofagood by
the government. For example, inthediagramOP is priceceiling while equilibrium
price is OP1
.At this price the producers are willing to supply only PA(Or OQ1
)
while consumers demand PB (Or OQ2
). The effect ofthe ceiling is that shortage,
equaltoAB (O1
Q2
) is created, whichmayfurther lead to black marketing. 2
For blind Candidates Only:
Price ceiling means putting the upper limit bythe government onthe price that can
be charged bythe producers ofa good fromthe buyers. 1
Maximumprice ceiling,is lower thanequilibriumprice, leads to rise indemand and
fallinsupply.Thiscreatesshortageofthe good inthe market.Thismaylead to black
marketing. 2
9 Price Exp. Demand
8 1000 125
10 1000 100 1½
P
Q
Q
p
Ep


 1
=
2
25–
125
8
 1
= – 0.8 ½
10 Cost ineconomicsrefers to the sumofactualmoneyexpenditure oninputs and the
imputed expenditureinthe formofinputs supplied bythe owners including normal
profit. 1
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286
IfMC <AVC, thenAVC falls
IfMC =AVC, thenAVC is constant
If MC >AVC, thenAVC rises (Diagram not required) 3
OR
Revenue inEconomics refers to the market value ofoutput produced Or receipts
fromsaleofoutput produced. 1
If MR >AR,AR rises
IfMR =AR,AR is constant
If MR <AR,AR Falls. (Diagram not required) 3
11 Given Px= 3, Py = 3 and MRS = 3,Aconsumer is said to be in equilibrium when
MRS =
y
x
p
p
Substitutingvalueswe find that
3 >
3
3
i.e. MRS >
y
x
p
p
Thereforeconsumer isnot inequilibrium.
MRS >
y
x
p
p
means that consumer is willing to paymore for one more unit ofX as
compared to what market demands. 3
- The consumerwillbuymore unitsofX.
- As a result MRS willfalldueto the Law ofDiminishing MarginalUtility
- This willcontinue tillMRS =
y
x
p
p
and consumer is inequilibrium
(Diagram not required) 3
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287
OR
Given Px
= 4 , Py
= 5 and MUx
= 5 , MUy
= 4,a consumer will be in equilibrium
when
y
y
x
x
p
MU
p
MU

Substituting values,wefindthat
y
y
x
x
p
MU
p
MU
Or 
5
4
4
5
3
Since per rupee MUx
is higher than per rupee MUy
, consumer is not in
equilibrium.
The consumer willbuymore ofX and less ofY.As a result MUx
willfalland MUy
willrise. The reactionwillcontinue till
y
y
x
x
p
MU
and
p
MU
are equaland consumer
isinequilibrium. 3
12 The Phases are:
Phase : I TPrises at increasing rate i.e. uptoAin diagram.
MP rises i.e. upto 'a'
Phase : II TPrises at decreasing rate i.e. betweenAand B. MPfalls and remains
positive between 'a' and 'b'.
Phase : III TP falls i.e. after B. MP falls and is negative i.e. after 'b' 1×3
3
(Diagram on single axis is also correct)
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288
For blind Candidates Only:
Variable input TP MP
(Units) (Units) (Units)
1 6 6
2 20 14
3 32 12 Or any other
4 40 8 relevant 3
5 40 0 numerical
6 37 -3 example
Phases:
(1) TP increases at increasing rate and MP risesupto 2 units.
(2) TP increases at decreasing rate and MP falls but remains positive from3 to 3
5units.
(3) TP falls and MP becomesnegative from6 unit onwards.
13 The producer's equilibriumconditions are: (i) MC = MR and (ii) MC > MR
after equilibrium.
Suppose MC > MR. In this situation it willbe profitable for the firm to produce
more or less depending upon relative changes in MC and MR tillMC = MR. 3
Suppose MC < MR. It willbe profitable for theproducer to produce more till
MC = MR.
MC= MR is not a sufficient condition to ensure equilibrium. Given MC = MR,
suppose thebehaviour of MC and MR is such that ifone more unit is produced.
MC becomes less than MR.
Theninthis case it willbe profitable for thefirmto produce more.Therefore, in this
case thoughMC = MR the producer is not inequilibrium. However, ifafter MC =
MR output MC becomes greater than MR, it will be most advantageous for the
firmto produce onlyupto MC = MR. 3
(Diagram not required)
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289
14 - Givenequilibrium,demand increases.
- Price remaining unchanged,excess demand emerges.
- This leads to competitionamong buyers causing price to rise.
- Rise inprice causes fall(contraction)in demand and rise (expansion) in supply.
- The price continues to rise tillthe market is in equilibrium again at a higher
price 6
(Diagram not required)
SECTION - B
15 Aggregate supplyis the value oftotalquantityoffinalgoods and services planned to
be produced in an economyduring a period. 1
16 (b)
MPS
1
1
17 (b) Fiscaldeficit 1
18 (e) Dividends 1
19 (a) Likelyto rise 1
20 RealGDP =
IndexPrice
GDPNominal
× 100 1½
200 = 100
110
GDPNominal
 1
NominalGDP = 220
100
110200


½
(No marks if only the final answer is given)
21 (1) Borrowings fromand to abroad
(2) Investments fromand to abroad.
(3) Decreases and increases in foreign exchange reserves. 1×3
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290
OR
(1) Exports and imports ofgoods
(2) Exports andimports ofservices
(3) Factor incomereceipts fromabroad and payments to abroad. 1×3
(4) Transfers fromand to abroad. (Any Three)
22 Sale ofmachineryto abroad is export ofgoods and thus recorded in the Current
Account. 1½
Sale ofmachineryto abroad brings inforeign exchange and thusrecorded on the
credit side. 1½
(No marks if the reasons are not given)
23 The central bank is the sole authority for the issue of currency in the country. It
promotes efficiencyinthe financialsystem.Firstly, because it leads to uniformityin
the issueofcurrency, Secondly, becauseit gives CentralBankcontrolover money
supply. 4
OR
The Central Bank acts as a banker to the government. The central bank accepts
receipts and makes payments for the government and carries out exchange,
remittance and other normalbanking operations for the government. The central
bank manages public debt and also lends to government. 4
(To be marked as a whole)
24 - Opening more bank accounts means morebank deposits.
- Moredepositsmeansincreaseinthelendingcapacityofthecommercialbanks.
- More lending bybanks means more investment in the country. 4
- More investment means more nationalincome.
25 Y = C + M P C (Y) + 1 1½
Y = 100 + (1 – 0.2) Y + 200 2
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291
0.2Y = 300
½
Y = 1500
(No marks if only the final answer is given)
26. (i) Payment offeesto chartered accountant bya firmis intermediate cost to the
firmand,therefore not included. 2
(ii) Payment of corporate tax by a firm is a transfer payment and thus not
included. 2
(iii) Purchase ofa refrigerator bya firm for own use is investment expenditure
and thus included. (No marks if reason is not given) 2
27 The Inflationary Gap is the amount by which the aggregate demand exceeds
aggregatesupplyatthefullemployment level.It iscalledinflationarybecauseit leads
to rise in price level. 2
Bepo Rate is therate ofinterest at whichcentralbank lendsto commercialbanks
for a short period. When central bank raises Repo Rate, the borrowings by the
commercialbanks become costly. This forces the commercialbanks to raise their
lending rates. People borrow less, and therefore spend less. Thishelps in reducing
inflationarygap. 4
(Diagram not required)
OR
DeflationaryGapistheamountbywhichtheaggregatedemandfallsshortofaggregate
supplyat the fullemployment level.It is called deflationarybecause it leads to a fall
inprice level. (Diagram not required) 2
Open Market Operations refer to buying and selling ofgovernment securities by
the centralbank in the openmarket. Centralbank can reducedeflationarygap by
buying securities. Those who sell receive payments by cheques fromthe central
bank. The money flows out fromCentral bank into the commercial banks. This
raiseslendingcapacityofcommercialbanks.Banks lendmore.Spendingriseswhich
reduces deflationarygap. 4



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28 Government caninfluenceallocationofresourcesbyinfluencingmarket mechanism
throughtaxes,subsidies and direct participationinproduction. Heavytaxescanbe
imposed on productionunits engaged in producing harmfulproducts like liquor,
cigarettesetc.Taxconcessionsand subsidiescanbe givento encourageproduction
ofproducts usefulfor the masses. Government can directlyproduce goods and
services normallyignored bythe private sector due to lack ofenough profits. 6
(To be marked as a whole)
29 N.I. = ii + v + (vii + x) – xi – viii – xii 1½
= 600 + 100 + 70 + (–10) – 20 – 60 – 10 1
= Rs. 670 Crore. ½
PDI = iv – vi – iii – i 1½
= 650 – 50 – 30 – 80 1
= Rs. 490 Crore ½
(No marks if only the final answer is given)
QUESTION PAPER CODE 58/1
Q.No. EXPECTEDANSWERS/VALUE POINTS Distribution
Section – A
of marks
1 It is the locus ofpoints representingsuch bundles oftwo goods, among which
the consumeris indifferent. 1
2 (b) Complements 1
3 (b) Downward sloping concave. 1
4 Good X GoodY
(Units) (Units) MRT
0 30 -
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1 27 3Y:1X
2 21 6Y:1X
3 12 9Y:1X
4 0 12Y:1X 1½
Since MRTis increasing, the PPcurveis downward sloping concave to the origin. 1½
(Diagram not required)
5 'Make inIndia' appealsignifiesinvitationto foreign producers to produce in India.
Thiswillleadto increaseinresourcesthusraisingproductionpotentialofthecountry.
As aresult PP curve willshift upwards. 3
(Diagram not required)
OR
Reducing unemployment has no effect onthe productionpotentialofthe country.
It is becauseproductionpotentialis determinedassuming fullemployment. 3
Unemployment indicated that the countryis operating below potential. Reducing
unemployment simplyhelpsinreaching potential.
(Diagram not required)
6 The measure ofprice elasticityofdemand has a minus signbecausethere is inverse
relation between price and demand ofanormalgood, while themeasure ofprice
elasticityofsupplyhas plus sign becausethere is direct relationbetweenprice and
supplyofa good. 3
7 This implies that buyers do not differentiate between products ofdifferent firms in
the industry.As such theyarewilling to payonlythe same price for the products of
allthe firms.As a result a uniformprice prevails in the market. 3
8. Whengovernment imposeslowerlimit onapricethat maybechargedforaparticular
good or service, it is called minimumprice ceiling e.g. price OP1
.At this price the
producers are willing to supplyP1
B or (OQ2
) While consumers demand onlyP1
A
(=OQ1
). Unable to sellallthey want to sell, the producers may tryto illegally sell
below theminimumprice. (Answer based onminimumwages isalso correct) 2
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For blind Candidates Only:
When government imposes a lower limit ona price that maybe charged bythe
producers ofa good or service, it is called price floor. 1
Since this priceis above the equilibriumprice, at this price producers are willing to
supplymorebut thebuyersarewillingto buyless.Thiscreates surplusinthemarket.
Due to this producers mayadopt illegalways and sellthe product or service at a
lower price. 2
9 Price Exp. Demand
10 1000 100
8 800 100 1½
P
Q
Q
p
Ep


 1
=
2–
0
100
10
 1
= 0 ½
10 (a) AFC falls continuouslyas more and more output is produced. 2
(b) AVC falls initiallyand after a levelofoutput, starts rising asmore and more
output is produced. 2
OR
Average revenue equalsTotalRevenue divided bythe output produced. 1
1
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295
TR = P × Q 1
AR =
Q
TR
And AR =
Q
QP
= P 3
11 Given Px = 2 , Py= 2 and MRS = 2,Aconsumer is said to be in equilibriumwhen
MRS =
y
x
P
P
Substituting the valueswe findthat
2 >
2
2
i.e. MRS >
y
x
P
P
Therefore,consumer isnot inequilibrium.
MRS >
y
x
P
P
Pxmeans that consumer is willing to paymore for one more unit ofX as 3
compared to what the market demands. The consumer willbuymore and more of
X.Asa result MRSwillfalldueto theLawofDiminishing MarginalUtility.This will
continue tillMRS =
y
x
P
P
and consumer is inequilibrium.
(Diagram not required) 3
OR
Given Px
= 5 , Py
= 4 and MUx
= 4, MUy
= 5, the consumer willbe in equilibrium
when
y
y
x
x
p
MU
p
MU

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296
substituting values,wefind that
y
y
x
x
p
MU
p
MU
 Or
4
5
5
4
3
The consumer isnot inequilibrium.
Since per rupee MUx
is lower than per rupee MUy
, theconsumer willbuyless ofx
and more ofy.Asa result due to Law ofDiminishing MarginalUtility, MUx
willrise
and MUx
willfalltill 3
y
y
x
x
p
MU
p
MU
 (Diagram not required)
12 The Phases are :
Phase: I MPrises upto A
Phase: II MP falls but is positive i.e. betweenAand B.
Phase: III MP falls and is negative i.e. after B 1½
Reasons
Phase I : Initially variable input is too small as compared to the fixed input,As
productionis increased there is specializationofvariable inputs andefficient use of
the fixedinput leading to rise in productivityofthe variable input.As a result MP
rises. 3
PhaseII:Afteralevelofoutputapressureonfixedinput leads to fallinproductivity
ofthe variableinput. MP starts falling but remains positive.
Phase III : The amount ofvariable input becomes too large incomparison to the
fixed input causingdecline intotalproduct.MP becomes negative
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297
For blind Candidates Only:
Variable input TP MP
(Units) (Unit) (Unit) 1½
1 6 6
2 20 14
3 32 12
4 40 8
5 40 0
6 37 –3
Phases:
(1) TP increasesat increasing rate upto 2 units.
(2) TP increases at decreasing rate upto 5 units.
(3) TP falls from6 unit onwards. ½×3
Causes:
Same as above 3
1½
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298
13 The equilibriumconditions are: (i) MC =MR and (ii) MC > MR after equilibrium
Suppose MC = MR condition is not met. Let MC > MR. In this it will be
profitable for thefirmto produce moreor less depending uponthe relative changes
in MC and MR till MC = MR. Similarly, if MC < MR it will also be profitable to
produce more tillMC = MR. 3
Now Suppose 'MC > MR after equilibriumcondition is not met' and MC < MR
after equilibrium.Inthiscasethefirmwillnotbeinequilibrium,becauseitcanincrease
its profitsbyproducing more. 3
(Diagram not required)
14 - Given equilibrium,Supply'decreases'.
- Price remaining unchanged,excess demand emerges.
- Excess demand leads to competition betweenbuyers causing price to rise.
- Rise in price causes fall (contraction) in demand and rise (expension) in
supply.
- Rise inprice continues tillthe market is inequilibriumagainat a higher price.
(Diagram not required) 6
SECTION - B
15. Value of final products the buyers are planning to buy during a given period at a
givenlevelofincome. 1
16 (d) infinity 1
17 (d) Fiscaldeficit Minus interest payment 1
18 (d) the income earners 1
19 (b) to fall 1
20 RealGDP = 100
IndexPrice
EDPNominal
 1½
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299
400 = 100
IndexPrice
450
 1
Price Index= 5.112
400
110450


½
(No marks if only the final answer is given)
21 Fixed Exchange Rate is the exchange rate fixed bythe government / centralbank
and is not influenced bythe demand and supplyofforeign exchange. 1½
Flexible exchange rate is the exchange rate determined by the forces ofdemand
and supply of foreign exchange in the market and is influenced by the market
forces: 1½
OR
Managed floatingexchange rate is the flexible exchange rate withintervention by
the centralbank through the market for foreign exchange to reduce fluctuations in
the rate. Whenforeign exchange rate istoo high, the centralbankstarts selling the
foreigncurrencyfrom its reserves. Whenit is too low central bank starts buying
foreign currencyinthe market. 3
22 'Borrowings fromabroad' is recorded in the 'capital account' ofBOP account
because it increases internationalliabilityofthe country. 1½
It is recorded on the credits side because it brings inforeign exchange into the
country. 1½
23 As the banker to the banks, the Central Bank holds a part ofthe cash reserves of
commercialbanks. Fromthese reserves it lends to commercialbanks when they
are in need of funds. Central bank also provides cheque clearing and remittance
facilities to the commercialbanks. 4
OR
The central bank is the sole authority for the issue of currency in the country. It
promotesefficiencyinthefinancialsystem.Itleadstouniformityintheissueofcurrency,
and it gives CentralBank controlover moneysupply. 4
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24 Money supply has two components: Currency and demand deposits with
commercialbanks.Currencyis issued bythecentralbankwhiledeposits are created
bycommercialbanksbylending moneytothepeople.Inthiswaycommercialbanks
also create money. 2
Commercial banks lend moneymainlyto investors. The rise in investment inthe
economyleads to rise innationalincome throughthe multiplier effect. 2
25 Y = C + MPC (Y) + I 1½
800 = 100 + (1 – 0.3)800 + I 2
I = 800 – 100 – 560 = 140 ½
(No marks if only the final answer is given)
26 (i) Payment ofinterest by a firmto bank is treated as a factor payment by the
firmbecausethefirmborrowsmoneyforcarryingoutproductionandtherefore
included innationalincome. 2
(ii) Payment of interest by bank to an individual is a factor payment because
bank borrows for carrying out banking services and therefore includedin
nationalincome. 2
(iii) Payment ofinterest byanindividualto bank isnot included innationalincome
because the individualborrows for consumption and not for production. 2
(No marks if reason is not given)
27 Deficient Demand : is the amount by which the aggregated demand falls short
ofaggregatesupplyat fullemployment level. It causes fallinprice level. 2
BankRate: is therate ofinterest at whichcentralbank lendsto commercialbanks
for long term. The central bank can reduce deficient demand by lowering Bank
Rate. When central bank lowers bank rate. Commercial banks also lower their
lending rates. Since borrowing becomes cheaper, people borrow more. This leads
to risein aggregate demand and thus helps inreducing deficient demand. 4
OR
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301
Excess Demand : is the amount by which the aggregated demand exceeds
aggregate supplyat fullemployment level.It causes inflation. 2
Reverse Repo Rate : is the rate ofinterest paid bythe central bank on deposits
bycommercialbanks.CentralBankcanreduceexcessdemandbyraisingtheReverse
Repo Rate. When the rate is raised, it encourages the commercialbanks to park
their funds withthe centralbank. This reduces lending capacityofthe commercial
banks.Lendingbythecommercialbankstopublicdeclinesleadingtofallinaggregate
demand. 4
28 Government can reduce inequalities through its tax and expenditure policy.
Government cancharge higher rate oftaxfromhigher incomegroups byimposing
higher rate ofincome tax and higher rate on goods and services purchased bythe
rich.Themoneyso collected canbe spent onthepoorinthe formoffree education,
free medical facilities, cheaper housing etc. in order to raise their disposable
income. 6
29 N.I. = (iv + ix) + i + viii + (vi + vii + xii) - ii 1½
= 700 + 100 + 200 + 150 + 20 + 30 + 50 – 10 1
= Rs. 1240 Crore. ½
Private Income = N. I. – x + iii – xi + v 1½
= 1240 – 250 + 15 – 5 + 10 1
= Rs. 1010 Crore (No marks if only the final answer is given) ½
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302
BUSINESS STUDIES
Time allowed : 3 hours Maximum Marks : 80
General Instructions:
(i) Answer to questions carrying 1 mark may be from one word to one sentence.
(ii) Answer to questions carrying 3 marks may be from 50 - 75 words.
(iii) Answer to questions carrying 4 - 5 marks may be about 150 words.
(iv) Answer to questions carrying 6 marks may be about 200 words.
(v) Attempt all parts of question together.
QUESTION PAPER CODE 66/1/1
1. Whatismeantby'efficiency'inmanagement? 1
2. Howdoesmanagementhelpinachievingpersonalobjectives?State. 1
3. Define'planningpremises'. 1
4. Alliance Ltd. is engaged in manufacturing plastic buckets. The objective of the
company is to manufacture 100 buckets a day. To achieve this, the efforts of all
departmentsareco-ordinatedandinterlinkedandauthority-responsibilityrelationship
isestablishedamongvariousjobpositions.Thereisclarityonwhoistoreporttowhom.
Namethefunctionofmanagementdiscussedabove. 1
5. Explain how 'cost of debt' affects the choice of capital structure of a company. 1
6. 'IndianLogistics'hasitsownwarehousingarrangementsatkeylocationsacrossthe
country. Its warehousing services help business firms to reduce their overheads,
increaseefficiencyandcutdowndistributiontime.
Statewithreason,whethertheworkingcapitalrequirementsof'IndianLogistics'
willbehighorlow. 1
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303
7. 'Beauty Products Ltd' is a natural and ethical beauty brand famous for offering
organic beauty products for men and women. The company uses plant based
materials for its products and is the No.1 beauty brand in the country. It not only
satisfiesitscustomersbutalsobelievesinoverallprotectionoftheplanet.
Identifythemarketingmanagementphilosophybeingfollowedby'BeautyProducts
Ltd.' 1
8. On Sonika's birthday her mother gave her a pair of gold earrings.After one month
Sonika observed that the ear-rings are losing their shine. She checked the mark on
the ear-rings and found that it was not a proper Hallmark and her mother had been
cheated by the shopkeeper. So, she filed a complaint in the district forum which
rejectedit.Notsatisfiedbythedecisionofdistrictforum,shewasverymuchdisturbed
and after two months decided to appeal further.
Can Sonikaappealagainstthedecisionofthedistrictforum?Givereasoninsupport
of your answer. 1
9. What is meant by 'functional structure' of an organisation? State its any two
advantages. 3
10. Explain how the 'product related factors' affect the choice of channels of
distribution? 3
11. Pramod was a supervisor at 'AnnapurnaAata' factory.The factory was producing
200 quintals of aata every day. His job was to make sure that the work goes on
smoothly and there was no interruption in production. He was a good leader who
wouldgiveordersonlyafterconsultinghissubordinatesandworkoutthepolicies
with the acceptance of the group.
Identify and describe the leadership style being adopted by Pramod. 3
12. 'Financial market plays an important role in the allocation of scarce resources
inaneconomy by performing many important functions.' Explain anythreesuch
functions. 3
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304
13. Neeraj, a sales representative of 'Omida Ltd.' has changed seven jobs in the last
one year. He is a hard working person but is not able to finalise deals with the
customers due to his inadequate vocabulary and omission of needed words.
Sometimes he uses wrong words because of which intended meaning is not
conveyed.Allthiscreatedamis-understandingbetweenhimandhisclients.
(a) Identifythecommunicationbarrierdiscussedabove.
(b) Statethecategoryofthiscommunicationbarrier.
(c) Explainanyothercommunicationbarrierofthesamecategory. 3
14. What is meant by 'business environment'? State any three points of its importance. 4
15. ExplainthefollowingrightsofaconsumerasprovidedunderConsumersProtection
Act 1986 : 4
(a) Righttobeinformed;and
(b) Right to seek redressal.
16. Samir Gupta started a telecommunication company, 'Donira Ltd.' to manufacture
economical mobile phones for the Indian rural market with 15 employees. The
company did very well in its initial years.As the product was good and marketed
well, the demand of its products went up. To increase production the company
decided to recruit additional employees. Samir Gupta, who was earlier taking all
decisions for the company had to selectively disperse the authority. He believed
that subordinates are competent, capable and resourceful and can assume
responsibilityforeffectiveimplementationoftheirdecisions.Thispaidoffandthe
companywasnotonlyabletoincreaseitsproductionbutalsoexpandeditsproduct
range. 4
(a) IdentifytheconceptusedbySamirGuptathroughwhichhewasabletosteer
hiscompanytogreaterheights.
(b) Alsoexplainanythreepointsofimportanceofthisconcept.
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305
17. The workers of 'Vyam Ltd.' are unable to work on new and hi-tech machines
imported by the company to fulfill the increased demand. Therefore, the workers
areseekingextraguidancefromthesupervisor.
The supervisor is overburdened with the frequent calls of workers.
Suggest how the supervisor, by increasing the skills and knowledge of workers,
canmakethemhandletheirworkindependently?
Also state any three benefits that the workers will derive by the decision of the 4
supervisor.
18. 'AapkaVidyalaya'believesinholisticdevelopmentofstudentsandencouragesteam
buildingthroughamixofcurricular,co-curricularandsportsactivities.Onitsfounders
dayastageperformancehadtobeputup.Acommitteeoftenprefectswasconstituted
toplandifferentaspectsofthefunction.Theyalldecidedtouserecycledpaperfor
decoration. There was a spirit of unity and harmony and all members supported
eachother.Withmutual.trustandbelongingnesstheprogrammewassystematically
planned and executed. Kartik, one of the prefects realised that unknowingly the
grouphadappliedoneoftheprinciplesofmanagementwhileplanningandexecuting
theprogramme.Hewassoinspiredbythesuccessofthefunctionthatheaskedhis
father to apply the same principle in his business. His father replied that he was
alreadyusingthisprinciple. 4
(a) Identifytheprincipleofmanagementappliedforthesuccessoftheprogramme.
(b) Stateanytwofeaturesofmanagementhighlightedintheabovepara.
(c) Identifyanytwovalueswhich'AapkaVidyalaya'communicatedtothesociety.
19. 'Ganesh Steel Ltd.' is a large and credit-worthy company manufacturing steel for
the Indian market. It now wants to cater to theAsian market and decides to invest
innewhi-techmachines.Sincetheinvestmentislarge,itrequireslong-termfinance.
Itdecidestoraisefundsbyissuingequityshares.Theissueofequitysharesinvolves
huge floatation cost.To meet the expenses of floatation cost the company decides
to tap the money-market.
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306
(a) Nameandexplainthemoney-marketinstrumentthecompanycanuseforthe
above purpose.
(b) What is the duration for which the company can get funds through this
instrument?
(c) State any other purpose for which this instrument can be used. 4
20. Stateanyfivefeaturesof'Planning'. 5
21. Smitahadbeenworkingasanassistantmanagerwith'JohnsonEnterprises'forthe
last ten years. She was very popular amongst her colleagues because of her
commitment and dedication towards the work. When the manager senior to her
retired, all her colleagues thought that now Smita would be promoted. But to
everyone's surprise the vacant post was filled by an outsider, Mrs. Rita. Smita felt
demoralisedandherperformancestarteddeclining.Shewouldabstainherselfoften
and could not meet her targets.
Mrs. Rita was a good leader, who would not only instruct her subordinates but
wouldalsoguideandinspirethem.ShenoticedSmita'sbehaviourandfeltthather
performance could be improved. She started involving Smita in decision making-
issues related to the organisation and made her a part of high level joint-
managementcommittee.Smitawasnowpunctualinofficeandherperformancestarted
improving. 5
(i) IdentifythefunctionofmanagementbeingperformedbyRita.
(ii) NametheelementoftheabovefunctionofmanagementwhichhelpedRitato
improveSmita'sbehaviour.
(iii) Stateanythreefeaturesoftheelementidentifiedin(ii)above.
22. A company was manufacturing 'LED bulbs' which were in great demand. It was
found that the target of producing 300 bulbs a day was not met by the employees.
On analysis, it was found that the workers were not at fault. Due to electricity
failureandshortageofworkers,thecompanywasnotabletoachievethesettargets
and alternative arrangements were needed.
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307
To meet the increased demand, the company assessed that approximately 88
additional workers were required out of which 8 would work as heads of different
departments and 10 would work as subordinates under each head. The required
qualifications and job specifications were also enlisted. It was also decided that
necessaryrelaxationshouldbegiventoencouragewomen,personsfrombackward
andruralareasandpersonswithspecialabilitiestoassumeresponsiblepositionsin
theorganisation.Alleffortsweremadetomatchtheabilityoftheapplicantswiththe
nature of work. 5
(a) Identifythefunctionsofmanagementdiscussedabove.
(b) State the two steps in the process of each function discussed in the above
para.
(c) List any two values which the company wants to communicate to the
society.
23. With the help of a diagram explain 'Functional Foremanship' as a techniqueof
scientificmanagement. 6
24. 'SarahLtd.'isacompanymanufacturingcottonyarn.Ithasbeenconsistentlyearning
good profits for many years. This year too, it has been able to generate enough
profits.Thereisavailabilityofenoughcashinthecompanyandgoodprospectsfor
growth in future. It is a well managed organisation and believes in quality, equal
employmentopportunitiesandgoodremunerationpractices.Ithasmanyshareholders
whoprefertoreceivearegularincomefromtheirinvestments.
It has taken a loan of ` 40 lakhs from IDBI and is bound by certain restrictions on
the payment of dividend according to the terms of loan agreement.
The above discussion about the company leads to various factors which decide
how much of the profits should be retained and how much has to be distributed by
thecompany.
Quoting the lines from the above discussion identify and explain any four such
factors. 6
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25. 'Hayaram'isafamouschainsellingalargevarietyofproductsintheIndianmarket.
Their products include chips, biscuits, sweets and squashes. It charges a
comparativelyhigherpricethanitscompetitorsasitsellsqualityproducts.Besides,
it offers regular discounts to its customers and easy credit terms to its retailers. It
has five of its own retail shops. It also sells its products through various grocery
storessothattheproductsaremadeavailabletocustomersattherightplace,inthe
rightquantityandattherighttime.Itregularlyusesdifferentcommunicationtoolsto
increase its sales.
TheaboveparadescribesthecombinationofvariablesusedbyHayaramtoprepare
itsmarketoffering.Identifyandexplainthevariables. 6
QUESTION PAPER CODE 66/1
1. Whatismeantby'BusinessEnvironment'? 1
2. Explain,howmanagementhelpsinthedevelopmentofsociety. 1
3. Give the meaning of 'Objectives' as a type of plan. 1
4. 'Himalaya Ltd.', is, engaged in manufacturing of washing machines. The target of
the organisation is to manufacture 500 washing machines a day. There is an
occupationalspecialisationintheorganisationwhichpromotesefficiencyofemployees.
Thereisnoduplicationofeffortsinsuchtypeoforganisationstructure.
Identify the type of organisation structure described above. 1
5. How does 'cost of equity' affect the choice of capital structure of a company? Explain. 1
6. 'BharatExpress'specialisesinCourierServices.Its'widerangeofexpresspackage
and parcel services' help business firms to make sure that the goods are made
available to the customers at the right place and at the right time.
Statewithreason,whethertheworkingcapitalrequirementsof'BharatExpress'will
be high or low. 1
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309
7. 'Maruti Vega Ltd.' entered into the market with coloured television and have now
introduced products like audio systems, air-conditioners washing machines, etc.
The company is not only offering the products but also handling complaints and
offeringafter-salesservices.
Identifytheelementofmarketing-mixdiscussedhere. 1
8. Himanshu purchased a new car from 'Galaxy Motors' for ` 25 lakhs. He was
offered free insurance for the first year and three free servicing to be availed after
the car had covered 5,000 km, 10,000 km and 15,000 km respectively. When
Himanshu took the car for the first free servicing, he was told that the car was not
newandfirstservicehadalreadybeenavailedonthiscar.Hefeltcheatedandfiled
a complaint in the State Commission. Being not satisfied with the decision of the
State Commission, after two months he decided to file an appeal against it.
Can Himanshu appeal against the decision of the State Commission ? Give reason
in support of your answer. 1
9. What is meant by 'Formal Organisation' ? State its any two advantages. 3
10. How do the 'Company-related factors' affectthechoiceofchannels of distribution?
Explain. 3
11. 'A.S. Ltd.' is a large company engaged in assembly of air-conditioners. Recently
the company had conducted the 'Time' and 'Motion' study and concluded that on
anaverageaworkercanassembletenair-conditionersinaday.Thetargetvolume
of the company in a day is assembling of 1,000 units of air-conditioners. The
company is providing attractive allowances to reduce labour turnover and
absenteeism.Alltheworkersarehappy.Eventhentheassemblyofair-conditioners
per day is 800 units only. To find out the reason the company compared actual
performance of each worker and observed through C.C.T.V. that some of the
workerswerebusyingossiping.
(a) Identifythefunctionofmanagementdiscussedabove.
(b) State thosestepsintheprocessofthefunctionidentifiedwhich are discussed
in the above paragraph. 3
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12. 'TheStockExchangeperformsmanyvitalfunctionsintoday'scommercialworld.'
Explainanythreesuchfunctions. 3
13. JaideeprecentlyjoinedastheManagingDirectorof'TivoriLtd.',anappareldesigning
company. He observed that the company had a number of experienced fashion
designersonitspayroll.Theyregularlyofferedusefulsuggestionswhichwereneither
appreciated nor rewarded by the company. Instead the company outsourced its
servicestosomerenownedfashiondesignersandpaidthemagoodcompensation
for their services. Because of this the employees felt disheartened and stopped
givingusefulsuggestions.
(a) Identifythecommunicationbarrierdiscussedabove.
(b) Statethecategoryofthiscommunicationbarrier.
(c) Explainanyothercommunicationbarrierofthesamecategory. 3
14. What is meant by 'Management' ? State any three objectives of management. 4
15. Explain any four points of importance of 'consumer protection' from thepointof
viewofbusiness. 4
16. Neeraj Gupta started a company 'YoYo Ltd.' with ten employees, to assemble
economicalcomputersfortheIndianruralmarket.Thecompanydidverywellinits
initial years.As the product was good and marketed well, the demand went up.To
increase production the company decided to recruit additional employees. Neeraj
Gupta, who was earlier taking all decisions for the company, had to selectively
disperse the authority. He believed that people are competent, capable and
resourceful and can assume responsibility for effective implementation of their
decisions.Thispaidoffandthecompanywasnotonlyabletoincreaseitsproduction
but also expanded its product range with different features.
(a) Identify the concept used by Neeraj Gupta through which he was able to
steer his company to greater heights.
(b) Alsoexplainanythreepointsofimportanceofthisconcept. 4
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17. The workers of 'Gargya Ltd.' are unable to work on new computerised machines
imported by the company to fulfil the increased demand. Therefore, the workers
areseekingextraguidancefromthesupervisorandthesupervisorisoverburdened
withthefrequentcallsofworkers.
Suggest how the supervisor, by increasing the skills and knowledge of workers,
canmakethemhandletheirworkindependently.
Also state any three benefits that the workers will derive by the decision of the
supervisor. 4
18. Beni,aftercompletingherMBA,tookupajobwithamultinationalcompanynamed
'Fortio'. The company was paying good salary and perks to its employees. The
wageswerewithinthepayingcapacityofthecompanythatprovidedtheemployees
a reasonable standard of living. The company also had a good work-culture and
the behaviour of superiors was very good towards their subordinates. Beni was
veryhappyinthisorganisation,butduetolongworkinghoursshedidnothavetime
to cook her meal. She had to depend upon outside food, which was deteriorating
herhealth.
She observed that this problem was faced by many of her colleagues, not only in
hercompanybutalsoinmanyothercompanies.Thiswasbecauseofincreaseinthe
number of working women and non-availability of hygienic home-cooked food.
She identified this as a great opportunity and decided to give up her job to supply
packaged home-cooked food to office goers at a reasonable price.At the end of
thedayshewasalsodistributingtheleft-overfoodinthenearbynight-shelters.
(a) Statethedimensionofbusinessenvironmentbeingdiscussedabove.
(b) Statetheprincipleofmanagementbeingfollowedby'Fortio'.
(c) Identifyanytwovaluesbeingcommunicatedbythecompanytothesociety
in the above case. 4
19. 'Mission Coach Ltd.' is a large and creditworthy company manufacturing coaches
for Indian Railways. It now wants to export these coaches to other countries and
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312
decidestoinvestinnewhi-techmachines.Sincetheinvestmentislarge,itrequires
long-term finance. It decides to raise funds by issuing equity shares. The issue of
equitysharesinvolveshugefloatationcost.Tomeettheexpensesoffloatationcost,
the company decides to tap the money market.
(a) Nameandexplainthemoney-marketinstrumentthecompanycanuseforthe
above purpose.
(b) What is the duration for which the company can get funds through this
instrument?
(c) State any other purpose for which this instrument can be used. 4
20. Givethemeaningof'organising'.Statethestepsintheprocessoforganising. 5
21. Anjali had been working with 'Tata Enterprises' for the last ten years. She was
famous for her dedication towards the work. When the Manager senior to her
retired, all her colleagues thought that now Anjali would be promoted. But to
everyone'ssurprisethevacantpostwasfilledbyanoutsider'MissMonika'.Anjali
felt demoralised and her performance started declining. She would absent herself
often and could not meet her targets.
MissMonikawasagoodleaderwhowouldnotonlyinstructhersubordinates,but
also guide and inspire them. She noticed Anjali's behaviour and felt that her
performance could be improved. She started involvingAnjali in decision-making
issuesrelatedtotheorganisationandmadeherapartofahigh-leveljointmanagement
committee.Anjaliwasnowpunctualtoofficeandherperformancestartedimproving.
(a) IdentifythefunctionofmanagementbeingperformedbyMonika.
(b) NametheelementoftheabovefunctionofmanagementwhichhelpedMonika
toimproveAnjali'sbehaviour.
(c) State any three features of the element identified in (b) above. 5
22. Mohit Gupta is working with 'Yellow Security Services Ltd.' He is also recruiting
security guards for the company. The company provide security services in Delhi
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313
and Noida at short notice to various companies. The guards are recruited on
temporarybasis.Theguardsprovidedbythiscompanyareknownfortheirhonesty
andpunctuality.MohitGuptaiswellknowninhisvillageforprovidingemployment
tounskilledpeople.
(a) Name the source of recruitment used by 'Yellow Security Services Ltd.'
(b) Stateanyonedisadvantageofthissourceofrecruitment.
(c) Identifytheneedof'SecurityGuards'whichisbeingfulfilledbythecompany
as per Maslow's need hierarchy.
(d) Identify any two values communicated to the society in the above stated
case. 5
23. Explainthefollowingprinciplesofmanagement: 6
(a) Science,notrule-of-thumb.
(b) Discipline.
24. 'Abhishek Ltd.' is manufacturing cotton clothes. It has been consistently earning
good profits for many years. This year too, it has been able to generate enough
profits.Thereisavailabilityofenoughcashinthecompanyandgoodprospectsfor
growth in future. It is a well managed organisation and believes in quality, equal
employmentopportunitiesandgoodremunerationpractices.Ithasmanyshareholders
whoprefertoreceivearegularincomefromtheirinvestments.
It has taken a loan of ` 50 lakhs from I.C.I.C.I. Bank and is bound by certain
restrictionsonthepaymentofdividendaccordingtothetermsoftheloanagreement.
The above discussion about the company leads to various factors which decide
how much of the profits should be retained and how much has to be distributed by
thecompany.
Quoting the lines from the above discussion, identify and explain any four such
factors. 6
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25. Radhika was a student of Business Studies of Class XII. Her father was a farmer
who grew different varities of rice and was well-versed about various aspects of
rice cultivation. He was also selected by the government for a pilot-project on rice
cultivation.Asaproject-workinBusinessStudiesshedecidedtostudythefeasibility
of marketing good quality rice at a reasonable price. Her father suggested her to
use internet to gather customers' views and opinions. She found that there was a
huge demand for packaged organic rice. She knew that there were no pre-
determined specifications in case of rice because of which it would be difficult to
achieveuniformityintheoutput.Todifferentiatetheproductfromitscompetitors,
shegaveitthenameof'MalabariOrganicRice'andclassifieditintothreedifferent
varietiesnamely-Popular,ClassicandSupreme,basedonthequality.Shefeltthat
thesenameswouldhelpherinproductdifferentiation.
Explainthethreefunctionsofmarketing,withreferencetotheaboveparagraph. 6
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Marking Scheme — Business Studies
General Instructions
1. The marking scheme carries only suggested value points for the answer.These are only
guidelines and do not constitute the complete answer.The students can have their own
expression and if the expression is correct, marks be awarded accordingly.
2. Evaluation is to be done as per instructions provided in the marking scheme.
3. If a question has parts, please award marks on the right hand side for each part. Marks
awarded for different parts of the question should then be totalled up and encircled in the
lefthandmargin.
4. If a question does not have parts, marks be awarded in the left hand margin.
5. If a candidate has attempted a question twice, marks should be given in the question
attemptedfirstandthequestionattemptedlatershouldbeignoredwiththecomment'Extra
Attempt'.
6. In questions having options, if an examinee attempts both the options, assess the choice
attemptedfirst.
7. In a question, if two features/ characteristics/ points are asked but an examinee writes
morethantwofeatures/characteristics/points,say,five,ofwhichfirstiscorrect,secondis
incorrect, the first two should be assessed and the remaining should be ignored.
8. TheexaminersshouldacquaintthemselveswiththeinstructionsgivenintheGuidelinesfor
SpotEvaluationbeforestartingtheactualevaluation.
9. Everyexaminershouldstayuptosufficientlyreasonabletimenormally5-6hourseveryday
andevaluate20-25answerbooksandshoulddevoteminimum15-20minutestoevaluate
each answer book.
10. Everyexaminershouldacquainthimself/herselfwiththemarkingschemesofallthesets.
11. It is expected that the marking scheme should be followed objectively to ensure quality
evaluation. For instance, if an examinee scores 30 marks, then the marks should not be
inflated to 33 simply to pass him / her.
12. Marksshouldbeawardedkeepinginviewthetotalmarksofaparticularquestionandnot
the total marks of the question paper. For example, if one mark is given to a 3 marks
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316
QUESTION PAPER CODE 66/1/1
EXPECTEDANSWERS/VALUE POINTS
1. Q. What is meant by 'efficiency' in management? 1 mark
Ans. Efficiencymeansdoingthetaskcorrectlyandwithminimumcost.
(or any other correct definition)
2. Q. How does management help in achieving personal objectives? State. 1 mark
Ans. Managementhelpsinachievingpersonalobjectivesbymotivatingandleading
insuchawaythattheindividualmembersareabletoachievepersonalgoals
whilecontributingtotheoverallorganisationalobjectives.
3 Q. Define' planning premises'. 1 mark
Ans. Planningpremisesaretheassumptionsmadeaboutthefutureonthebasisof
which the plans are drawn. .
question even if nothing is correct, then that one mark constitutes 33% of the total marks
forthisanswer.
13. The examiner shall also have to certify in the answer book that they have evaluated the
answerbookstrictlyinaccordancewiththevaluepointsgiveninthemarkingschemeand
correct set of question papers.
14. IncompliancetothejudgementofHon'bleSupremeCourtofIndia,Boardhasdecidedto
provide photocopy of the answer book(s) to the candidates who will apply for it along
withtherequisitefeefrom2012examination.Therefore,itisallthemoreimportantthatthe
evaluation is done strictly as per the value points given in the marking scheme so that the
Board could be in a position to defend the evaluation in any forum.
15. Whileevaluatingtheanswerscripts,iftheanswerisfoundtobetotallyincorrect,itshould
be marked as (x) and awarded zero (0) marks.
16. A full scale of marks 0-90 has to be used. Please do not hesitate to award full marks if the
answerdeservesit.Similarly,whereveranexamineewritesanansweruptothemark,his/
her marks should not be deducted unnecessarily.
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317
4. Q. Alliance Ltd. is engaged in manufacturing plastic buckets.The objective
of the company is to manufacture 100 buckets a day. To achieve this, the
efforts of all departments are co-ordinated and interlinked and authority-
responsibility relationship is establishedamongvariousjobpositions.There
isclarityonwhoistoreporttowhom.
Name the function of management discussed above. 1 mark
Ans. Organising.
5. Q. Explain how 'cost of debt' affects the choice of capital structure of a
company. 1 mark
Ans. 'Cost of debt' affects the choice of capital structure of a company as low
interest rates increase a firm's capacity to employ higher debt.
6. Q. 'IndianLogistics'hasitsownwarehousingarrangementsatkeylocations
across the country. Its warehousing services help business firms to reduce
their overheads, increase efficiency and cut down distribution time.
State with reason, whether the working capital requirements of 'Indian
Logistics' will be high or low.
Ans. Low,asitisaservice'industry,whichusuallydonothavetomaintaininventory.
7. Q. 'Beauty Products Ltd' is a natural and ethical beauty brand famous for
offering organic beauty products for men and women. The company uses
plant based materials for its products and is the No.1 beauty brand in the
country. It not only satisfies its customers but also believes in overall
protection of the planet.
Identify the marketing management philosophy being followed by 'Beauty
ProductsLtd.' 1 mark
Ans. Societalmarketingconcept.
8. Q. On Sonika's birthday her mother gave her a pair of gold earrings.After
one month Sonika observed that the ear-rings are losing their shine. She
checked the mark on the ear-rings and found that it was not a proper
½ mark for
indentification
+
½ mark for
reason
= ½ + ½
= 1 mark
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318
Hallmark and her mother had been cheated by the shopkeeper. So, she
filed a complaint in the district forum which rejected it. Not satisfied by the
decisionofdistrictforum,shewasverymuchdisturbedandaftertwomonths
decided to appeal further.
Can Sonika appeal against the decision of the district forum? Give reason in ½ + ½
support of youranswer. = 1 mark
Ans. No, Sonika cannot appeal now as the appeal has to be filed within 30 days
of passing of the order by the district forum.
9. Q. What is meant by 'functional structure' of an organisation? State
its any two advantages.
Ans. Functional structureis an organisational structure formed by grouping of
jobsofsimilarnatureunderfunctionsandorganisingthesemajorfunctionsas
separate departments like production, finance etc.
Advantages :(anytwo)
(a) It leads to occupational specialisation since emphasis is placed on
specificfunctions.
(b) It promotes control and coordination within a department because of
similarityinthetasksbeingperformed.
(c) Itincreasesmanagerialand-operationalefficiency.
(d) It lowers cost as it reduces duplication of effort.
(e) Itmakestrainingofemployeeseasierasitfocusesonalimitedrangeof
skills.
(f) Itensuresthatdifferent functionsgetdueattention.
(If an examinee has given only the heading, ½ mark for each heading
should be awarded)
10. Q. Explain how the 'product related factors' affect the choice of channels
ofdistribution?
1 mark for
the
meaning +
1 mark for
each
statement
= 1 × 2
= 2 mark
= 1 + 2
= 3 marks
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Ans. Productrelatedfactorswhichaffectthechoiceofchannelsofdistribution
Anythree:
(i) Nature of Product. . .
(ii) PerishabilityofProduct.
(iii) Value of Product.
(iv) ComplexityofProduct.
(If an examinee has not given the headings as above but has given
the correct explanation, full credit should be given)
11. Q. Pramod was a supervisor at 'AnnapurnaAata' factory. The factory was
producing 200 quintals of aata every day. His job was to make sure that the
work goes on smoothly and there was no interruption in production. He was
a good leader who would give orders only after consulting his subordinates
and work out the policies with the acceptance of the group.
Identify and describe the leadership style being adopted by Pramod.
Ans. Democraticstyleofleadership.
A democratic leader favours decision making by the group. This
improves the attitude of the employees 'towards their jobs and the
organizationtherebyincreasing-theirmorale.
Using this style is of mutual benefit - it allows them (subordinates) to
become part of the team and helps leaders (seniors) to make better
decisions.
12. Q. 'Financial market plays an important role in the allocation of scarce
resources inaneconomybyperformingmanyimportantfunctions.'Explain
any three such functions.
Ans. Financialmarketplaysanimportantroleintheallocationofscarceresources
inaneconomybyperformingthefollowingfunctions:(Anythree)
(i) Mobilisationofsavingsandchannelisingthemintomostproductiveuse.
½ mark for
the heading
+
each ½
markfor
explanation
= 1 × 3
= 3 marks
1 mark for
indentification
+
1 mark for
each point
of
description
= 1 × 2
= 2 marks
= 1 + 2
= 3 marks
½ mark for
the heading
+
½ mark for
each
explanation
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320
(ii) Facilitatingpricedetermination/discovery.
(iii) Providingliquiditytofinancialassets.
(iv) Reducingthecostoftransactions.
(If an examinee has not given the headings as above but has given
the correct explanation, full credit be-given)
13. Q. Neeraj, a sales representative of 'Omida Ltd.' has changed seven jobs
in the last one year. He is a hard working person but is not able to finalise
deals with the customers due to his inadequate vocabulary and omission of
needed words. Sometimes he uses wrong words because of which intended
meaning is not conveyed.All this created a mis-understanding between him
and his clients.
(a) Identify the communication barrier discussed above.
(b) State the category of this communication barrier.
(c) Explain any other communication barrier of the same category.
Ans. (a) Badly expressed message.
(b) Semantic barrier which arises from problems and obstructions in the
process of encoding and decoding of message into words or
impressions. .
(c) Other barriers in the same category are: (Anyone)
(i) Symbolswithdifferentmeanings
(ii) Faultytranslations
(iii) Unclarifiedassumptions
(iv) Technicaljargon
(v) Bodylanguageandgesturedecoding
14. Q. What is meant by 'business environment'? State any three points of its
importance.
= 1 × 3
= 3 marks
1 mark for
identifying
thebarrier
+
½ mark for
naming
the
category
ofbarrier
+
½ mark for
stating the
category of
thebarrier
+
(½ mark
for
naming
another
barrier
+
½ mark
for its
explanation)
=
1+1+1
=
3 marks
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Ans. Business environment means the sum total of all individuals, institutions
and other forces that are outside the control of a business enterprise but that
mayaffectits-performance.
Importanceofbusinessenvironment: (Anythree)
l. Ithelpstoidentifyopportunitiesandgettingthefirstmoveradvantage
insteadoflosingthemtothecompetitors.
2. It helps to identify threats on time which serves as an early warning
signal.
3. It helps in tapping useful resources so that it can convert them into
outputthattheenvironmentdesires.
4. It helps in coping with rapid changes in an increasingly dynamic
environment.
5. Ithelpsinassistinginplanningandpolicyformulation.
6. It helps in improving performance by continuously monitoring the
environmentandadoptingsuitablepractices.
(If an examinee has given only the headings, ½ mark for each heading
should be awarded)
15. Q. Explain the following rightsofaconsumerasprovidedunder Consumers
Protection Act, 1986 :
(a) Right to be informed; and
(b) Right to seek redressal.
Ans. (a) Righttobeinformed:
The consumer has a right to have complete information about the
product he intends to buy such as, ingredients, date of manufacture,
price,quantityetc.
It is because of this reason that the legal framework in India requires
the manufacturers to provide such information on the package and
label of the product.
1 mark for
the
meaning
+
1 mark for
each
statement
=
l × 3
3 marks
=
1+3
=
4 marks
2 marks
+
2 marks
+
4 marks
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322
(b) Right to seek redressal :
The consumer has a right to get relief in case the product or service
fallsshortofhisexpectations.
The Consumer ProtectionAct provides relief to customers such as
replacementofproduct,removalofdefectintheproduct,compensation
foranylossorinjurysufferedbytheconsumer.
16. Q. Samir Gupta started a telecommunication company, 'Donira Ltd.' to
manufacture economical mobile phones for the Indian rural market with 15
employees. The company did very well in its initial years. As the product
wasgoodandmarketedwell,thedemandofitsproductswentup.Toincrease
production the company decided to recruit additional employees. Samir
Gupta,whowasearliertakingalldecisionsforthecompanyhadtoselectively
dispersetheauthority.Hebelievedthatsubordinatesarecompetent,capable
and resourceful and can assume responsibility for effective implementation
oftheirdecisions.Thispaidoffandthecompanywasnotonlyabletoincrease
its production but also expanded its product range.
(a) Identify the concept used by Samir Gupta through which he was able
to steer his company to greater heights.
(b) Also explain any three points of importance of this concept.
Ans. (a) Decentralisation.
(b) Importance of decentralisation : (Anythree)
(i) Developsinitiativeamongsubordinates.
(ii) Developsmanagerialtalentforthefuture.
(iii) Quickdecisionmaking.
(iv) Relieftotopmanagement.
(v) Facilitatesgrowth.
(vi) Bettercontrol.
(if an examinee has not given the headings as above but has given the
correct explanation, full credit should be given)
(IFTHECONCEPTISWRONGLYIDENTIFIEDBUTTHEPOINTS.OF
IMPORTANCEARE C9RRECT, DUE CREDIT BE GIVEN)
½ mark for
indentifying
the concept
+
(½ mark
for the
heading
+
½ mark
for its
explanation)
=
1 × 3
=
3 marks
=
1 + 3
=
4 marks
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323
17. Q. The workers of 'Vyam Ltd.' are unable to work on new and hi-tech
machines imported by the company to fulfill the increased demand.
Therefore, the workers are seeking extra guidance from the supervisor.
The supervisor is overburdened with the frequent calls of workers.
Suggest how the supervisor, by increasing the skills and knowledge of
workers, can make them handle their work independently?
Also state any three benefits that the workers will derive by the decision of
the supervisor.
Ans. Trainingofemployees/Vestibuletraining/Onthejobtraining.
Benefitstheworkerswillderivebythedecisionofthesupervisor:(Anythree)
(a) It helps in promotion and career growth due to improved skills and-
knowledge.
(b) It helps them to earn more due to improved performance.
(c) It reduces accidents as the employees are more efficient to handle
machines.
(d) It increases the morale of the employees as the employees are more
satisfied.
(If an examinee has given only the heading, ½ mark for each heading
should be awarded)
18. Q. 'Aapka Vidyalaya' believes in holistic development of students and
encouragesteambuildingthroughamixofcurricular,co-curricularandsports
activities. On its founders day a stage performance had to be put up. A
committee of ten prefects was constituted to plan different aspects of the
function. They all decided to use recycled paper for decoration. There was
a spirit of unity and harmony and all members supported each other.With
mutual.trustandbelongingnesstheprogrammewassystematicallyplanned
and executed. Kartik, one of the prefects realised that unknowingly the
group had applied one of the principles of management while planning and
1 mark
+
1 mark
for each
statement
=
1 × 3
=
3 marks
=
1 + 3
=
4 marks
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324
executing the programme. He was so inspired by the success of the function
that he asked his father to apply the same principle in his business. His
father replied that he was already using this principle.
(a) Identify the principle of management applied for the success of the
programme.
(b) State any two features of management highlighted in the above para.
(c) Identify any two values which 'Aapka Vidyalaya' communicated to
the society.
Ans. (a) Principle of management -Espirit de corps.
(b) Featuresofmanagement: (Anytwo)
(i) MANAGEMENT IS PERVASIVE.
'.... he asked his father to apply the same principle in his business'.
Management is pervasive as it can be applied to all types/ levels of
organisations.
(ii) MANAGEMENT ISAGROUPACTIVITY
'There was a spirit of unity and harmony and all members
supported each other.
Management is a group activity because it requires team work and/or
coordinationofindividualefforts.
(iii) MANAGEMENT IS GOAL ORIENTED.
' .... the programme was systematically planned and executed'.
Managementisgoalorientedasitunitestheeffortsofdifferentindividuals
towardsachievingorganisationalgoals.
(iv) MANAGEMENT IS MULTI DIMENSIONAL
' ... programme was systematically planned and executed'.
OR
1 mark for
identifying
the
principle
+
½ mark for
stating
each
feature
=
(½ × 2)
=
1 mark
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325
'There-was a spirit of unity and harmony and all members
supported each other'.
Managementismulti-dimensionalasitinvolvesmanagementofwork,
people and operations.
(v) MANAGEMENT IS INTANGIBLE
'With mutual trust and belongingness,.... '.
OR
'There was a spirit of unity and harmony and all members
supported each other'.
Management is intangible as it cannot be seen but its presence can be
feltinthewaytheorganisationfunctions.
(IF AN EXAMINEE HAS IDENTIFIED THE FEATURE OF
MANAGEMENTCORRECTLY,FULLCREDITBEGIVENFOR
EITHER QUOTING THE LINE OR GIVING THE STATEMENT)
(c) Valuesbeingcommunicatedtothesociety:(Anytwo)
(i) Concernfortheenvironment.
(ii) Holisticdevelopmentofchildren.
(iii) Team work
(or any other-correct value)
19. Q. 'Ganesh Steel Ltd.' is a large and credit-worthy company manufacturing
steel for the Indian market. It now wants to cater to the Asian market and
decides to invest in new hi-tech machines. Since the investment is large, it
requires long-term finance. It decides to raise funds by issuing equity shares.
The issue of equity shares involves huge floatation cost. To meet the
expenses of floatation cost the company decides to tap the money-market.
(a) Name and explain the money-market instrument the company can
use for the above purpose.
1 mark for
each value
=
(1 × 2)
=
2 marks
=
1+1+2
=
4 marks
1 mark for
namingthe
instrument
+
1 mark for
its
explanation
+
1 mark for
duration
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326
(b) Whatisthedurationforwhichthecompanycangetfundsthroughthis
instrument?
(c) State any other purpose for which this instrument can be used.
Ans. (a) Commercialpaper.
Itisaninstrumentissuedbylargeandcreditworthycompaniestoraiseshort
termfundsatlowerratesofinterestthanthemarketrates.Itisanunsecured,
negotiablepromissorynotewithafixedmaturityperiod.
(b) 15 days to one year.
(c) It can also be used for seasonal and working capital needs.
20. Q. State any five features of 'Planning'.
Ans. Features of planning : (Any five)
(i) Itfocusesonachievingorganisationalobjectives.
(ii) It is the primary function of management as it lays down the basis for
allotherfunctionsofmanagement.
(iii) Itispervasiveasitisrequiredinallorganisations,atalllevelsandinall
departments.
(iv) Itiscontinuousbecauseaplanisframed,implementedandisfollowed
by another plan.
(v) Itisfuturisticasitinvolveslookingaheadandpreparingforthefuture.
(vi) It involves decision making as it involves a choice from among the
variousalternativecoursesofaction.
(vii) Itisamentalexerciseasitisintellectualactivityofthinkingratherthan
doing.
(viii) Itprovidesthe basisforcontrollingbyprovidingstandards.
(If an examinee has given only the headings, ½ mark for each heading
should be awarded)
+
1 mark for
any other
purpose
=
1+1+1+1
=
4 marks
1 mark for
each
statement
=
l × 5
=
5 marks
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327
21. Q. Smita had been working as an assistant manager with 'Johnson
Enterprises' for the last ten years. She was very popular amongst her
colleagues because of her commitment and dedication towards the work.
When the manager senior to her retired, all her colleagues thought that
now Smita would be promoted. But to everyone's surprise the vacant post
was filled by an outsider, Mrs. Rita. Smita felt demoralised and her
performance started declining. She would abstain herself often and could
not meet her targets.
Mrs. Rita was a good leader, who would not only instruct her subordinates
but would also guide and inspire them. She noticed Smita's behaviour and
felt that her performance could be improved. She started involving Smita in
decision making- issues related to the organisation and made her a part
of high level joint-managementcommittee.Smitawasnowpunctualinoffice
andherperformancestarted improving.
(i) Identify the function of management being performed by Rita.
(ii) Name the element of the above function of management which helped
Rita to improve Smita's behaviour.
(iii) State any three features of the element identified in (ii) above.
Ans. (i) Directing
(ii) Motivation
(iii) Features of motivation : (Anythree)
(a) Itisaninternalfeeling.
(b) It produces goal directed behaviour.
(c) It can be positive or negative.
(d) lt is a complex process.
(If an examinee has identified the element in part (b) as non
financial incentive, full credit is to be given)
1 mark for
identifying
the
function
+
1 mark for
identifying
the
element
=
+
1 mark for
each
feature
=
(1 × 3)
=
3 marks
=
1+1+3
=
5 marks
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328
22. Q. Acompanywasmanufacturing'LEDbulbs'whichwereingreatdemand.
It was found that the target of producing 300 bulbs a day was not met by the
employees. On analysis, it was found that the workers were not at fault.
Due to electricity failure and shortage of workers, the company was not
able to achieve the set targets and alternative arrangements were needed.
To meet the increased demand, the company assessed that approximately
88 additional workers were required out of which 8 would work as heads of
different departments and 10 would work as subordinates under each head.
The required qualifications and job specifications were also enlisted. It was
also decided that necessary relaxation should be given to encourage women,
persons from backward and rural areas and persons with special abilities to
assume responsible positions in the organisation.All efforts were made to
match the ability of the applicants with the nature of work.
(a) Identify the functions of management discussed above.
(b) State the two steps in the process of each function discussed in the
above para.
(c) List any two values which the company wants to communicate to
the society.
Ans. (a) Staffingandcontrolling.
(b) Steps in Staffing:
(i) Estimatingmanpowerrequirementswhichinvolvesknowinghow
many persons are needed and of what type.
'To meet the increased demand. the company assessed that....
subordinates under- each head '.
(ii) Recruitmentwhichinvolvessearchingforprospectiveemployees
andstimulatingthemtoapplyforjobsintheorganisation.
(IFANEXAMINEEHASONLYIDENTIFIED'ESTIMATING
MANPOWER REQUIREMENTS'AS A STEP IN THE
STAFFINGPROCESS, FULLCREDIT IS TO BE GIVEN)
(½ mark
for
identifying
each
function
½ × 2
=
1mark)
+
(½ mark
for
identifying
each step
+
½ mark for
either
quoting
the line
OR
stating the
step
=
½ x 4
=
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329
Steps in controlling : (Any two)
(i) Comparison of actual performance with the standards which would
reveal the deviation between actual and desired results.
'It was found that the target of producing 300 bulbs a day was not
met by the employees '.
(ii) Analysing deviations which would help to find out the causes of
deviation.
On analysis, it was found that the workers were not at fault ....
alternative arrangements were needed.
(iii) Takingcorrectiveaction,ifrequired.
To meet the increased demand. the company assessed that
approximately .... as subordinates under each head.
(If an examinee has given the steps of the process not discussed
above; ½ mark may be deducted)
(c) Valueswhichthecompanywantstocommunicatetothesociety:(Anytwo)
(i) Usingenvironmentfriendlymethodsofproduction.
(ii) Womenempowerment.
(iii) Upliftmentofunderprivilegedsectionsofthesociety.
(or any other correct value)
23. Q. With the help of a diagram explain 'Functional Foremanship' as a
technique of scientific management.
Ans.
2 marks)
+
(1mark
for
each
value
=
l × 2
=
2 marks)
=
1+2+2
=
5 marks
1½ marks
for
the
diagram
+
1½ marks
for
any three
points
=Workman
Instruction
CardClerk
Route
Clerk
Time and
cost Clerk
Speed
Boss
Gang
Boss
Repairs
Boss
Inspector
Planning Incharge Production Incharge
Factory Manager
Disciplinarian
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330
Functional Foremanship (Any three points)
Functionalforemanshipisatechniquewhichaimstoimprovethequality
ofsupervisionatshopfloor.
Taylor identified a list of qualities of a good foreman or a supervisor.
Since all the qualities could not be found in a single person, Taylor
proposedeightspecialists.
Inthistechnique,planningisseparatedfromexecution.
Itisanextensionoftheprincipleofdivisionofworkandspecilaisation.
Taylor suggested four foremen for planning and four foremen for
execution.
Thefourforemenforplanningwererouteclerk;instructioncardclerk,
timeandcostclerkanddisciplinarianandfourforemenforexecution
were gang boss-speed boss, repair boss and inspector.
Thefourforemenforplanningwoulddraftinstructionsfortheworkers,
specifytherouteofproduction,preparetimeandcostsheetandensure
disciplinerespectively.
Thefourforemenforexecutionwereresponsiblefortimelyandaccurate
completionofthejob,keepingmachinesandtoolsreadyforoperation
by the workers, ensuring proper working conditions of machines and
tools and checking the quality of work.
(If an examinee has made an incomplete diagram but has named
all foremen in the explanation, one mark may be given for the
diagram)
24. Q 'Sarah Ltd.' is a company manufacturing cotton yam. It has been
consistently earning good profits for many years. This year too, it has been
able to generate enough profits. There is availability of enough cash in the
company and good prospects for growth in future. It is a well managed
organisation and believes in quality, equal employment opportunities and
1½ × 3
=
4 ½ marks
= (1½+4½
= 6 marks
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331
goodremunerationpractices.Ithasmanyshareholderswhoprefertoreceive
a regular income from their investments.
It has taken a loan of ` 40 lakhs from IDBI and is bound by certain
restrictions on the payment of dividend according to the terms of loan
agreement.
The above discussion about the company leads to various factors which
decide how much of the profits should be retained and how much has to be
distributed by the company.
Quoting the lines from the above discussion identify and explain any
four such factors.
Ans. Factorsaffectingdividenddecision:(Anyfour)
(i) Stabilityofearnings
'It has been consistently earning good profits for many years'.
Stability of earnings affects dividend decision as a company having
stableearningsisinapositiontodeclarehigherdividends.
(ii) CashFlowposition
'There is availability of enough cash in the company'.
A good cash flow position is necessary for declaration of dividend.
(iii) Growth Prospects
'Good prospects for growth in the future'.
Ifacompanyhasgoodgrowthopportunities,itpaysout'lessdividend.
(iv) Shareholders' preference.
'It has many shareholders who prefer to receive regular income
from their investments'.
Shareholder's preference is kept in mind by the management before
declaringdividends.
½ mark for
identifying
the factor
+
½ mark for
quoting the
line
+
½ mark for
explanation
=
1½ × 4
=
6 marks
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332
(v) Contractualconstraints
'It has taken a loan of Rs. 40 Lakhs from IDBI and....
agreement"
Whiletakingdividenddecision,companieskeepinmind,therestrictions
imposed by the lenders in the loan agreement.
25. Q 'Hayaram' is a famous chain selling a large variety of products in the
Indian market. Their products include chips, biscuits, sweets and squashes.
Itchargesacomparativelyhigherpricethanitscompetitorsasitsellsquality
products. Besides, it offers regular discounts to its customers and easy
credit terms to its retailers. It has five of its own retail shops. It also sells
its products through various grocery stores so that the products are made
available to customers at the right place, in the right quantity and at the
right time. It regularly uses different communication tools to increase its
sales.
The above para describes the combination of variables used by Hayaram
to prepare its market offering. Identify and explain the variables.
Ans. ThecombinationofvariablesusedbyHayaramtoprepareitsmarketoffering
are:
(i) PRODUCT
It refers to the combination of various aspects relating to the product or
service to be offered for sale. It relates to decisions regarding planning,
designing and developing the right type of products and services for the
consumers.Itincludesbranding,labellingandpackaging.
'Their products include chips, biscuits, 'sweets and squashes ',
(ii) PRICE
PriceMixinvolvesdifferentPricingMethods,Pricingstrategies,PricingPolicies
and Price Changes. It involves decisions regarding the basic price of the
product, discount. allowances. terms of payment etc.
'It charges a comparatively higher price than its competitors '.,
OR
½ mark
for
identifying
the
variable
+
½ mark
for
quoting
the
line
+
½ mark
for
the
explanation
of the
variable
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333
It offers regular discounts to its customers and easy credit terms "to its
retailers '.
(iii) PLACE/PHYSICALDISTRIBUTION
Itincludesactivitiesthatmakefirm'sproductsavailabletothetargetcustomers.
Itconsistsofalltheactivitiesinvolvedintransferringownershipandphysical
possession of the product to the consumers.
It consists of physical distribution i.e. activities involving the movement of
products or services from producers to consumers as well as channels of
distributioni.e.theroutethroughwhichthegoodsmoveformtheproducerto
theconsumer.
It has five of its. own retail shops '.
OR
It a/so sells its products through various grocery stores.. .. right time'. ...'
(iv) PROMOTION
Itconsistsofalltheactivitiesaimedatpersuadingcustomerstobuytheproduct
throughadvertising,personalselling,salespromotionandpublicity.
'It regularly uses different communication tools to increase its sales '.
(FULL CREDIT BE GIVEN IF AN EXAMINEE HAS NOT
QUOTED THE LINES FROM THE ABOVE PARA BUT HAS
GIVEN THE CORRECT EXPLANATION)
QUESTION PAPER CODE 66/1
EXPECTEDANSWERS/VALUE POINTS
1. Q. What is meant by 'Business Environment'? 1 mark
Ans. Businessenvironmentmeansthesumtotalofallindividuals,institutionsand
otherforcesthatareoutsidethecontrolofabusinessenterprisebutthat-may
affectitsperformance.
=
1½ × 4
=
6 marks
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334
2. Q. Explain, how management helps in the development of society.
Ans. Managementhelpsinthedevelopmentofsocietyby:(Anytwo)
providing goodqualityproductsandservices,
creatingemployment
adopting newtechnologyand
leading the path towards growth and development.
3 Q. Give the meaning of 'Objectives' as a type of plan. 1 mark
Ans. Objectives are the ends which the management seeks to achieve within a
giventimeperiod.
(or any other correct meaning)
4. Q. 'Himalaya Ltd.', is, engaged in manufacturing of washing machines.
The target of the organisation is to manufacture 500 washing machines in a
day.Thereisanoccupationalspecialisationintheorganisationwhichpromotes
efficiency of employees. There is no duplication of efforts in such type of
organisation structure.
Identify the type of organisation structure described above. 1 mark
Ans. FunctionalStructure.
5. Q. How does 'cost of equity' affect the choice of capital structure of a
company?Explain. 1 mark
Ans. Use of higher debt increases the cost of equity as the financial risk faced by
the equity shareholders increases; debt can therefore be used only upto a
level.
6. Q. 'Bharat Express' specialises in Courier Services. Its 'wide range of
express package and parcel services' help business firms to make sure
that the goods are made available to the customers at the right place and at
the right time.
½ × 2
=
1 mark
½ mark
for
indentification
+
½ mark
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335
State with reason, whether the working capital requirements of 'Bharat
Express' will be high or low.
Ans. Low, as it is a service industry, which usually do not have to maintain
inventory.
7. Q. 'Maruti Vega Ltd.' entered into the market with coloured television and
have now introduced products like audio systems, air-conditioners washing
machines,etc.Thecompanyisnotonlyofferingtheproductsbutalsohandling
complaints and offering after-sales services.
Identify the element of marketing-mix discussed here. 1 mark
Ans. Product / Product mix.
8. Q. Himanshu purchased a new car from 'Galaxy Motors' for ` 25 lakhs.
He was offered free insurance for the first year and three free servicing to
be availed after the car had covered 5,000 km, 10,000 km and 15,000 km
respectively. When Himanshu took the car for the first free servicing, he
was told that the car was not new and first service had already been availed
on this car. He felt cheated and filed a complaint in the State Commission.
Being not satisfied with the decision of the State Commission, after two
months he decided to file an appeal against it.
Can Himanshu appeal against the decision of the State Commission ? Give
reason in support of your answer.
Ans. No. Himanshu cannot appeal now as the appeal has to be filed within 30
days of passing of the order by the State Commission.
9. Q. What is meant by 'Formal Organisation' ? State its any two advantages.
Ans. Formalorganisationreferstotheorganisationstructurewhichisdesignedby
themanagementtoaccomplishitsobjectives.
Advantages: (Anytwo)
(a) It is easier to fix responsibility since mutual relationships are clearly
defined.
for reason
= ½ + ½
= 1 mark
½ + ½
=
1 mark
1 mark
for the
meaning
+
1 mark
for each
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336
(b) Itavoidsduplicationofeffortsincethereisnoambiguityintherolethat
each member has to play.
(c) Itmaintainsunityofcommandthroughanestablishedchainofcommand.
(d) It leads to accomplishmentofgoalsbyprovidingaframeworkforthe
operations to be performed.
(e) It providesstabilitytotheorganisationbecausetherearespecificrules
toguidebehaviourofemployees.
(If an examinee has given only the headings, ½ mark for each heading
should be awarded)
10. Q. How do the 'Company-related factors' affect the choice of channels of
distribution?Explain.
Ans. Companyrelatedfactorsinclude:
(i) Financialstrengthofthecompany:
If the financial strength of the company is good, it would prefer shorter
channels.
(ii) Degreeofcontroloverchannelmembers:
If company's management wants greater control over channel members,
shorter channels may be used.
(If an examinee has not given the headings as above but has given
the correct explanation, full credit should be given)
11. Q. 'A.S. Ltd.' is a large company engaged in assembly of air-conditioners.
Recently the company had conducted the 'Time' and 'Motion' study and
concluded that on an average a worker can assemble ten air-conditioners in
a day. The target volume of the company in a day is assembling of 1,000
units of air-conditioners. The company is providing attractive allowances to
reduce labour turnover and absenteeism.All the workers are happy. Even
then the assembly of air-conditioners per day is 800 units only. To find out
statement
=
1 × 2
=
2 mark
=
1 + 2
=
3 marks
½ mark
for the
heading
+
1 mark
for each
explanation
=
1½ × 2
=
3 marks
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337
the reason the company compared actual performance of each worker and
observed through C.C.T.V. that some of the workers were busy in
gossiping.
(a) Identify the function of management discussed above.
(b) State those steps in the process of the function identified which are
discussed in the above paragraph.
Ans. (a) Controlling.
(b) Steps discussed in the above paragraph are :
(i) Settingperformancestandards
'Recently the company had conducted the 'Time' .... can assemble ten
air-conditioners in a day'.
OR
'The target volume of the company in a day is assembling of 1,000
units of air-conditioners'.
Settingperformancestandards whicharethecriteriaagainstwhichtheactual
performance would be measured.
(ii) Measurementofactualperformance
'Even then the assembly of air-conditioners per day is 800 units only'.
Measurement of actual performance with the standards in an objective and
reliablemanner.
(iii) Comparingactualperformancewiththestandards
' ... the company compared actual performance of each worker'
Comparingactualperformancewiththestandardstofindoutthedeviation,if
any .
(iv) Analysingdeviations
observed through C.C.T.V. that some of the workers were busy in
gossiping.
1 mark for
indentification
+
½ mark
for stating
each step
=
½ × 4
=
2 marks
=
1 + 2
=
3 marks
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338
Analysingdeviations fortheircauses.
(If an examinee has given the steps of the process not discussed above,
½ mark may be deducted)
(FULL CREDIT BE GIVEN FOR QUOTING THE LINE OR
GIVINGTHE STATEMENT)
12. Q. 'The Stock Exchange performs many vital functions in today's
commercial world.' Explain any three such functions.
Ans. VitalfunctionsperformedbytheStockExchangeintoday'scommercialworld
are: (Any three)
(i) Providesliquidityandmarketabilitytoexistingsecurities.
(ii) Helpsindeterminingthepriceofsecurities.
(iii) Ensuressafetyoftransactions.
(iv) Contributestoeconomicgrowth.
(v) Helpsinspreadingequitycult.
(vi) Provides scope for speculation.
(if an examinee has not given the headings as above but has given the
correct explanation, full credit should be given)
13. Q. Jaideep recently joined as the Managing Director of 'Tivori Ltd.', an
apparel designing company. He observed that the company had a number
ofexperiencedfashiondesignersonitspayroll.Theyregularlyoffereduseful
suggestions which were neither appreciated nor rewarded by the company.
Instead the company outsourced its services to some renowned fashion
designers and paid them a good compensation for their services. Because
of this the employees felt disheartened and stopped giving useful
suggestions.
(a) Identify the communication barrier discussed above.
½ mark for
the heading
+
½ mark for
each
explanation
=
1 × 3
=
3 marks
1 mark for
identifying
thebarrier
+
½ mark for
naming
the
category
ofbarrier
+
½ mark for
stating the
category
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339
(b) State the category of this communication barrier.
(c) Explain any other communication barrier of the same category.
Ans. (a) Organisationalpolicy
(b) Organisational barrier which arises from organisational structure,
authorityrelationships,rulesandregulationsetc.
(c) Other communication barriers of the same category are: (Any one)
(i) Rulesandregulations
(ii) Status
(iii) Complexityinorganisationalstructure.
(iv) Organisationalfacilities.
(If an examinee has not given the headings, no marks should be
deducted)
14. Q. What is meant by 'Management' ? State any three objectives of
management.
Ans. Managementistheprocessofgettingthingsdonewiththeaimofachieving
goalseffectivelyandefficiently.
(Or any other correct meaning)
Objectivesofmanagement:
(i) Organisationalobjectiveswhichincludesurvival,profitandgrowth.
(ii) Socialobjectives whichinvolvecreationofbenefitforthesociety.
(iii) Personal objectives which aim to satisfy the needs of the employees
working.intheorganisation.
(If an examinee has given only the heading, ½ mark for each heading
should be awarded)
of the
barrier
+
(½ mark
for
naming
another
barrier
+
½ mark
for its
explanation)
=
1+1+1
=
3 marks
1 mark for
the
meaning
+
1 mark for
each
statement
=
l × 3
3 marks
=
1+3
=
4 marks
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340
15. Q. Explain any four points of importance of 'consumer protection' from
the point of view of business.
Ans. Importance of 'consumer protection' from the point of view of business :
(Anyfour)
(i) Long-terminterestsofbusiness.
(ii) Business uses society's resources.
(iii) SocialResponsibility.
(iv) MoralJustification.
(v) GovernmentIntervention.
(if an examinee has not given the headings as above but has given the
correct explanation, full credit should be given)
16. Q. Neeraj Gupta started a company 'YoYo Ltd.' with ten employees, to
assemble economical computers for the Indian rural market. The company
did very well in its initial years. AB the product was good and marketed
well, the demand went up. To increase production the company decided to
recruit additional employees. Neeraj Gupta, who was earlier taking all
decisions for the company, had to selectively disperse the authority. He
believedthatpeoplearecompetent,capableandresourcefulandcanassume
responsibility for effective implementation of their decisions. This paid off
and the company was not only able to increase its production but also
expanded its product range with different features.
(a) Identify the concept used by Neeraj Gupta through which he was able
to steer his company to greater heights.
(b) Also explain any three points of importance of this concept.
Ans. (a) Decentralisation.
(b) Importance of decentralization : (Anythree)
(i) Developsinitiativeamongsubordinates.
(ii) Developsmanagerialtalentforthefuture.
½ mark for
the
heading
+
½ mark for
each
explanation
=
l × 4
=
4 marks
1 mark for
indentifying
the
concept
+
(½ mark
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341
(iii) Quickdecisionmaking.
(iv) Relieftotopmanagement.
(v) Facilitatesgrowth.
(vi) Bettercontrol.
(if an examinee has not given the headings as above but has given the
correct explanation, full credit should be given)
(IF THE CONCEPT IS WRONGLY IDENTIFIED BUT THE POINTS
OF IMPORTANCEARE CORRECT, DUE CREDIT BE GIVEN)
17. Q. The workers of 'Gargya Ltd.' are unable to work on new computerised
machines imported by the company to fulfil the increased demand.
Therefore, the workers are seeking extra guidance from the supervisor
and the supervisor is overburdened with the frequent calls of workers.
Suggest how the supervisor, by increasing the skills and knowledge of
workers, can make them handle their work independently.
Also state any three benefits that the workers will derive by the decision
of the supervisor.
Ans. Trainingofemployees/Vestibuletraining/Onthejobtraining.
Benefitstheworkerswillderivebythedecisionofthesupervisor:(Anythree)
(a) It helps in promotion and career growth due to improved skills and
knowledge.
(b) It helps them to earn more due to improved performance.
(c) It reduces accidents as the employees are more efficient to handle
machines.
(d) It increases the morale of the employees as the employees are more
satisfied.
(If an examinee has given only the heading, ½ mark for each heading
should be awarded)
for the
heading
+
½ mark
for its
explanation)
=
1 × 3
=
3 marks
=
1 + 3
=
4 marks
1 mark
+
1 mark
for each
statement
=
1 × 3
=
3 marks
=
1 + 3
=
4 marks
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342
18. Q. Beni, after completing her MBA, took up a job with a multinational
company named 'Fortio'. The company was paying good salary and perks
to its employees. The wages were within the paying capacity of the company
that provided the employees a reasonable standard of living. The company
also had a good work-culture and the behaviour of superiors was very good
towards their subordinates. Beni was very happy in this organisation, but
due to long working hours she did not have time to cook her meals She had
to depend upon outside food, which was deteriorating her health.
She observed that this problem was faced by many of her colleagues, not
only in her company but also in many other companies. This was because of
increase in the number of working women and non-availability of hygienic
home-cooked food. She identified this as a great opportunity and decided
to give up her job to supply packaged home-cooked food to office goers at
a reasonable price. At the end of the day she was also distributing the left-
over food in the nearby night-shelters.
(a) State the dimension of business environment being discussed above.
(b) State the principle of management being followed by 'Fortio'.
(c) Identify any two values being communicated by the company to the
society in the above case.
Ans. (a) Social environment which includes social forces like customs and
traditions,values,socialtrendsetc.
'This was because of increase in the number of working women
and non-availability of hygienic home-cooked food '.
(b) Remuneration of employees states that the overall pay and
compensation should be fair to both employees and the organisation.
'The company was paying good salary and perks to its employees. The
wages were within the paying capacity ...standard of living '.
(c) Values being communicated by the company to the society are :
(Anytwo)
½ mark for
identifying
the
dimension
+
½ mark for
either
quoting the
line
OR
stating the
dimension
+
½ mark for
identifying
the
principle
+
½ mark for
either
quoting
the line
OR
stating the
principle
+
1 mark for
each value
=
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343
(i) Good work culture.
(ii) Goodbehaviourinhumaninteraction.
(iii) Concern for the employees.
(iv) Respect for law.
(or any other correct value)
19. Q. 'MissionCoachLtd.'isalargeandcreditworthycompanymanufacturing
coaches for Indian Railways. It now wants to export these coaches to other
countriesanddecidestoinvestinnewhi-techmachines.Sincetheinvestment
is large, it requires long-term finance. It decides to raise funds by issuing
equity shares. The issue of equity shares involves huge floatation cost. To
meet the expenses of floatation cost, the company decides to tap the money
market.
(a) Name and explain the money-market instrument the company can
use for the above purpose.
(b) Whatisthedurationforwhichthecompanycangetfundsthroughthis
instrument?
(c) State any other purpose for which this instrument can be used.
Ans. (a) Commercialpaper.
Itisaninstrumentissuedbylargeandcreditworthycompaniestoraiseshort
termfundsatlowerratesofinterestthanthemarketrates.Itisanunsecured,
negotiablepromissorynotewithafixedmaturityperiod.
(b) 15 days to one year.
(c) It can also be used for seasonal and working capital needs.
20. Q. Give the meaning of 'organising'. State the steps in the process of
organising.
Ans. Organisingistheprocessofdefiningandgroupingtheactivitiesoftheenterpriseandestablishing
authorityrelationshipsamongthem.
(1 × 2)
=
2 marks
=
1+1+2
=
4 marks
1 mark for
namingthe
instruinent
+
1 mark for
its
explanation
+
1 mark for
duration
+
1 mark for
any other
purpose
=
1+1+1+1
=
4 marks
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344
OR
Organisingistheprocessofidentifyingandgroupingtheworktobeperformed,
defining and delegating responsibility and authority and establishing
relationshipsforthepurposeofaccomplishingobjectives.
Steps in the process of organising :
(i) Identifying and dividing the work into manageable activities so that
duplication can be avoided.
(ii) Departmentalisation/departmentationwhenactivitiesofasimilarnature
are grouped together.
(iii) Assignmentofdutiestojobpositions.
(iv) Establishingreportingrelationshipssothateachindividualknowswho
he has to take orders from and to whom he is accountable.
(If an examinee has given only the headings, ½ mark for each heading
should be awarded)
21. Q. Anjali had been working with 'Tata Enterprises' for the last ten years.
She was famous for her dedication towards the work. When the Manager
senior to her retired, all her colleagues thought that now Anjali would be
promoted. But to everyone's surprise the vacant post was filled by an
outsider'MissMonika'.Anjalifeltdemoralisedandherperformancestarted
declining. She would absent herself often and could not meet her targets.
Miss Monika was a good leader who would not only instruct her
subordinates,butalsoguideandinspirethem.ShenoticedAnjali'sbehaviour
andfeltthatherperformancecouldbeimproved.ShestartedinvolvingAnjali
in decision-making issues related to the organisation and made her a part
of a high-level joint management committee. Anjali was now punctual to
office and her performance started improving.
(a) Identify the function of management being performed by Monika.
1 mark
for the
meaning
+
1 mark
for
each
statement
=
l × 4
=
4 marks
=
1 + 4
=
5 marks
1 mark
for
identifying
the
function
+
1 mark
for
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345
(b) Name the element of the above function of management which helped
Monika to improveAnjali's behaviour.
(c) State any three features of the element identified in (b) above.
Ans. (a) Directing.
(b) Motivation.
(c) Features of motivation : (Anythree)
(a) itisaninternalfeeling.
(b) It produces goal directed behaviour.
(c) can be positive or negative.
(d) It is a complex process.
(If an examinee has identified the element in part (b) as non financial
incentive, full credit is to be given)
22. Q. Mohit Gupta is working with 'Yellow Security Services Ltd.' He is also
recruiting security guards for the company. The company provides security
services in Delhi and Noida at short notice to various companies. The guards
are recruited on temporary basis. The guards provided by this company
are known for theirhonesty and punctuality. Mohit Gupta is well known in
his village for providing employment to unskilled people.
(a) Name the source of recruitment used by 'Yellow Security Services
Ltd.'
(b) State anyone disadvantage of this source of recruitment.
(c) Identify the need of 'Security Guards' which is being fulfilled by the
company as per Maslow's need hierarchy.
(d) Identify any two values communicated to the society in the above
stated case.
identifying
the
element
=
+
1 mark for
each
feature
=
(1 × 3)
=
3 marks
=
1+1+3
=
5 marks
1 mark for
namingthe
source of
recruitment
+
1 mark for
stating one
disadvantage
+
1 mark for
identifying
the
need
+
1 mark for
identifying
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346
Ans. (a) External source of recruitment / Labour Contractor.
(b) Disadvantagesofexternalsourceofrecruitment: (Anyone)
(i) Itmayleadtodissatisfactionamongexistingemployeesasthey
may feel that their chances of promotion are reduced.
(ii) It is a lengthy process as the vacancies have to be notified and
applicationsreceivedbeforeselection.
(iii) Itisacostlyprocessasalotofmoneyisspentonadvertisement
andprocessingofapplications.
(If an examinee has given only the heading, ½ mark for each heading
should be awarded)
(c) Basicphysiologicalneeds.
(d) Valuescommunicatedtothesocietyare: (Anytwo)
(i) Creatingemploymentopportunities.
(ii) Ethicalbehaviour.
(iii) Respect for time.
(or any other correct-value)
23. Q. Explain the following principles of management:
(a) Science, not rule-of-thumb.
(b) Discipline.
Ans. (a) Sciencenotruleofthumb
It states that there was only onebestmethodtomaximiseefficiency.
Thismethodcanbedevelopedthroughscientificstudyandanalysisof
each element of a job and should substitute 'Rule of Thumb'.
This standard method then should be followed throughout the
organisation.
each value
=
1 × 2
=
2 marks
=
1+1+1+2
=
5 marks
1 × 3
=
3 marks
+
1 × 3
=
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347
(b) Discipline
Itistheobediencetoorganizationalrulesandemploymentagreement
whicharenecessaryfortheworkingoftheorganization.
It requires good superiors at all levels, clear and fair agreement and
judiciousapplicationofpenalties.
Workers and management both should honour their commitments
towards one another without prejudice.
24. Q. 'Abhishek Ltd.' is manufacturing cotton clothes. It has been consistently
earning good profits for many years. This year too, it has been able to
generate enough profits. There is availability of enough cash in the company
and good prospects for growth in future. It is a well managed organisation
and believes in quality, equal employment opportunities and good
remuneration practices. It has many shareholders who prefer to receive a
regular income from their investments.
It has taken a loan of ` 50 lakhs from I.C.I.C.I. Bank and is bound by
certain restrictions on the payment of dividend according to the terms of
the loan agreement.
The above discussion about the company leads to various factors which
decide how much of the profits should be retained and how much has to be
distributed by the company.
Quoting the lines from the above discussion, identify and explain any four
such factors.
Ans. Factorsaffectingdividenddecision:(Anyfour)
(i) Stabilityofearnings
'It has been consistently earning good profits for many years '.
Stability of earnings affects dividend decision as a company having stable
earningsisinapositiontodeclarehigherdividends.
3 marks
=
3+3
=
6 marks
½ mark
for
identifying
the
factor
+
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348
(ii) CashFlowposition
'There is availability of enough cash in the company'.
A good cash flow position is necessary for declaration of dividend.
(iii) Growth Prospects
'Good prospects for growth in the future '.
If a company has good growth opportunities, it pays out less dividend.
(iv) Shareholders' preference
'It has many shareholders who prefer to receive regular income from
their investments'.
Shareholder'spreferenceiskeptinmindbythemanagementbeforedeclaring
dividends.
(v) Contractualconstraints
'It has taken a loan of Rs.50 Lakhs from I.C.I.C.I. and .... agreement '
While taking dividend decision, companies keep in mind the restrictions
imposed by the lenders in the loan agreement.
25. Q. Radhika was a student of Business Studies of Class XII. Her father was
a farmer who grew different varities of rice and was well-versed about
various aspects of rice cultivation. He was also selected by the government
for a pilot-project on rice cultivation.As a project-work in Business Studies
she decided to study the feasibility of marketing good quality rice at a
reasonable price. Her father suggested her to use internet to gather
customers' views and opinions. She found that there was a huge demand for
packaged organic rice. She knew that there were no pre-determined
specifications in case of rice because of which it would be difficult to achieve
uniformity in the output. To differentiate the product from its competitors,
she gave it the name of 'Malabari Organic Rice' and classified it into three
different varieties namely - Popular, Classic and Supreme, based on the
quality. She felt that these names would help herin product differentiation.
½ mark
for
quoting
the line
+
½ mark
for its
explanation
=
1½ × 4
=
6 mark
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349
Explain the three functions of marketing, with reference to the above
paragraph.
Ans. Functions of marketing, with reference to the above paragraph are:
(i) Gatheringandanalysingmarketinformation.
' ... use internet to gather customers' views and opinions.'
(ii) StandardisationandGrading/Grading.
' ... no pre-determined specifications in case of rice because of which it
would be difficult to achieve uniformity in the output.'
OR
' ... classified it into three different varieties namely - Popular, Classic
and Supreme, based on the quality',
(iii) Branding.
'To differentiate the product from its competitors, she gave it the name
of 'Malabari Organic Rice'.'
OR
She felt that these names would help her in product differentiation.
(IF AN EXAMINEE HAS IDENTIFED THE FUNCTIONS
CORRECTLYANDHASGIVENTHEEXPLANATIONWITHOUT
QUOTINGTHELINESFROMTHEABOVEPARA,FULLCREDIT
IS TO BE GIVEN)
1 mark for
naming
the
function
+
½ mark
for
quoting
the line
+
½ mark
for its
explanation
=
2 × 3
=
6 mark
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350
ACCOUNTANCY
Time allowed : 3 hours Maximum Marks : 80
General Instructions:
(i) This question paper contains three parts A, B and C.
(ii) Part A is Compulsory for all.
(iii) There are two parts. Part B - Financial Statement Analysis and
Part C-Computerized Accounting. Attempt only one Part.
(iv) All parts of the questions should be attempted at one place.
QUESTION PAPER CODE 67/1/1
PartA
(Accounting for Partnership Firms & Companies)
1. In the absence of partnership deed the profits of a firm are divided among the partners :
(a) In the ratio of capital
(b) Equally
(c) In the ratio of time devoted for the firm's business
(d) Accordingtothemanagerialabilitiesofthepartners 1
A, B, C and D were partners in a firm sharing profits in the ratio of 4 : 3 : 2 : 1. On
1-1-2015 they admitted E as a new partner for 1/10 share in the profits. E brought
` 10,000 for his share of goodwill premium which was correctly recorded in the
books by the accountant. The accountant showed goodwill at ` 1,00,000 in the
books. Was the accountant correct in doing so ? Give reason in support of your
answer. 1
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351
3. On the retirement of Hari from the firm of 'Hari, Ram and Sharma' the balance
sheet showed a debit balance of `12,000 in the profit and loss account. For
calculatingtheamountpayabletoHarithisbalancewillbetransferred 1
(a) to the credit of the capital accounts of Hari, Ram and Sharma equally
(b) to the debit of the capital accounts of Hari, Ram and Sharma equally
(c) to the debit of the capital accounts of Ram and Sharma equally
(d) to the credit of the capital accounts of Ram and Sharma equally
4. Kumar,VermaandNareshwerepartnersinafirmsharingprofit&lossintheratio
of 3 : 2 : 2. On 23rd January, 2015 Verma died. Verma's share of profit till the date
of his death was calculated at ` 2,350.
Pass necessary journal entry for the same in the books of the firm. 1
5. Givethemeaningofforfeitureofshares.
6. Joy Ltd. issued 1,00,000 equity shares of `10 each. The amount was payable as
follows:
On application - ` 3 per share.
On allotment - ` 4 per share.
On 1st
and final call - balance
Applications for 95,000 shares were received and shares were allotted to all the
applicants.Sonamtowhom500shareswereallottedfailedtopayallotmentmoney
andGautampaidhisentireamountdueincludingtheamountdueonfirstandfinal
callonthe750sharesallottedtohimalongwithallotment.Theamountreceivedon
allotmentwas
(a) ` 3,80,000
(b) ` 3,78,000
(c) ` 3,80,250
(d) ` 4,00,250 1
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352
7. State any three purposes other than 'issue of bonus shares' for which securities
premiumcanbeutilized. 3
8. On 1-4-2013 Jay and Vijay, entered into partnership for supplying laboratory
equipments to government schools situated in remote and backward areas. They
contributed capitals of ` 80,000 and ` 50,000 respectively and agreed to share the
profits in the ratio of 3 : 2. The partnership deed provided that interest on capital
shall be allowed at 9% per annum. During the year the firm earned a profit of
` 7,800.
Showingyourcalculationsclearly,prepare'ProfitandLossAppropriationAccount'
of Jay and Vijay for the year ended 31-3-2014. 3
9. 'TractorsIndiaLtd.'isregisteredwithanauthorizedcapitalof ` 10,00,000divided
into 1,00,000 equity shares of ` 10 each. The company issued 50,000 equity
shares at a premium of ` 5 per share. ` 2 per share were payable with application,
` 8 per share including premium on allotment and the balance amount on first and
finalcall.Theissuewasfullysubscribedandalltheamountduewasreceivedexcept
the first and fmal call money on 500 shares allotted to Balaram.
Present the 'Share Capital' in the Balance Sheet of 'Tractors India Ltd.' as per
Schedule VI Part I of the CompaniesAct, 1956.Also prepare Notes toAccounts
for the same. 3
10. 'SangamWoollensLtd.'!Ludhiana,arethemanufacturersandexportersofwoollen
garments. The company decided to distribute free of cost woollen garments to 10
villagesofLahaulandSpitiDistrictofHimachalPradesh.Thecompanyalsodecided
to employ 50 young persons from these villages in its newly established factory.
The company issued 40,000 equity shares of ` 10 each and 1,000 9% debentures
of ` 100 each to the vendors for the purchase of machinery of ` 5,00,000. Pass
necessary Journal Entries.Also identify anyone value that the company wants to
communicatetothe society. 3
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353
11. Dev,SwatiandSanskarwerepartnersinafirmsharingprofitsintheratioof2:2:1.
On 31-3-2014 their Balance Sheet was as follows:
Liabilities Amount Assets Amount
` `
Trade Payables 17,000 Building 1,04,000
BankLoan 13,000 Inventory 16,000
Capitals: TradeReceivables 23,000
Dev 77,000 Cash 40,000
Swati 87,000 Profit & LossA/c. 57,000
Sanskar 46,000 2,10,000
2,40,000 2,40,000
On30th
June,2014Devdied.AccordingtopartnershipagreementDevwasentitled
to interest on capital at 12% per annum. His share of profit till the date of his death
was to be calculated on the basis of the average profits of last four years. The
profits of the last four years were : 4
Years Profit
`
2010-2011 2,04,000
2011-2012 1,80,000
2012-2013 90,000
2013-2014 (Loss) 57,000
On 1-4-2014, Dev withdrew ` 15,000 to pay for his medical bills.
Prepare Dev's account to be presented to his executors.
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354
12. Kumar,GuptaandKavitawerepartnersinafirmsharingprofitsandlossesequally.
Thefirmwasengagedinthestorageanddistributionofcannedjuiceand'itsgodowns
werelocatedatthreedifferentplacesintheCity.Eachgodownwasbeingmanaged
individuallybyKumar,GuptaandKavita.Becauseofincreaseinbusinessactivities
at the godown managed by Gupta, he had to devote more time. Gupta demanded
that his share in the profits of the firm be increased, to which Kumar and Kavita
agreed. The new profit sharing ratio was agreed to be 1 : 2 : 1. For this purpose the
goodwillofthefirmwasvaluedattwoyearspurchaseoftheaverageprofitsoflast
fiveyears.Theprofitsofthelastfive yearswere asfollows:
Years Profit
`
I 4,00,000
II 4,80,000
III 7,33,000
IV (Loss) 33,000
V 2,20,000 4
You are required to :
(i) Calculatethegoodwillofthefirm.
(ii) PassnecessaryJournalEntryforthetreatmentofgoodwillonchangeinprofit
sharing ratio of Kumar, Gupta and Kavita.
13. On 1-4-2010 Sahil and Charu entered into partnership for sharing profits in the
ratio of 4 : 3. They admitted Tanu as a new partner on 1-4-2012 for
5
1 th
share
which she acquired equally from Sahil and Charu. Sahil, Charu and Tanu earned
profits at a higher rate than the normal rate of return for the year ended 31-3-2013.
Therefore, they decided to expand their business. To meet the requirements of
additional capital they admitted Puneet as a new partner on 1-4-2013 for
7
1 th
share in profits which he acquired from Sahil and Charu in 7 : 3 ratio.
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355
Calculate:
(i) New profit sharing ratio of Sahil, Charu and Tanu for the year 2012-13. 6
(ii) New profit sharing ratio of Sahil, Charu, Tanu and Puneet on Puneet's
admission.
14. Bharat Ltd. had an authorized capital of ` 20,00,000 divided into 2,00,000 equity shares of ` 10
each. The company issued 1,00,000 shares and the dividend paid per share was `2 for the year
ended31-3-2008.Themanagementofthecompanydecidedtoexportitsproductstotheneighbouring
countries Nepal, Bhutan, Sri Lanka and Bangladesh. To meet the requirement of additional funds
the financial manager of the company put up the following three alternatives before its Board of
Directors:.
(i) Issue 54,000 equity shares.
(ii) ObtainaloanfromImportandExportBankofIndia.Theloanwasavailable
at 12% per annum interest.
(iii) To issue 9% Debentures at a discount of 10%.
After comparing the available alternatives the company decided on 1-4-2008 to issue 6,000 9%
debenturesof `100eachatadiscountof10%.Thesedebentureswereredeemableinfourinstalments
starting from the. end of third year. The amount of debentures to be redeemed at the end of third,
fourth,fifthandsixthyearwasasfollows:
Years Profit
`
III 1,00,000
IV 1,00,000 6
V 2,00,000
VI 2,00,000
Prepare 9% DebenturesAccount for the years 2008-09 to 2013-14.
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356
15. Bora,SinghandIbrahimwerepartnersinafirmsharingprofitsintheratioof5:3:1.
On 2-3-2015 their firm was dissolved. The assets were realized and the liabilities
werepaidoff.GivenbelowaretheRealisationAccount,Partners'CapitalAccounts
andBankAccountofthefirm.Theaccountantofthefirmleftafewamountsunposted
in these accounts. You are required to complete these accounts by posting the
correctamounts.
Dr. Realisation Account Cr.
Particulars Amount Particulars Amount
` `
To Stock 10,000 By Provision for bad debts 5,000
To Debtors 25,000 By Sundry Creditors 16,600
ToPlantandMachinery 40,000 ByBillsPayable 3,400
ToBank: ByMortgageLoan 15,000
SundryCreditors 16,000 By Bank - assets realized :
BillsPayable 3,400 Stock 6,700
MortgageLoan 15,000 34,400 Debtors 12,500
ToBank(Outstanding 400 Plant&Machinery 36,000 55,200
repairs)
To Bank (Exp.), 620 By Bank-unrecorded assets
realized 6,220
By _________ _____
1,10,420 1,10,420 6
Dr. CapitalAccounts Cr.
Particulars Bora Singh Ibrahim Particulars Bora Singh Ibrahim
` ` ` ` ` `
---- ---- ---- ---- By Bal. b/d 22,000 18,000 10,000
---- ---- ---- ---- By General 2,500 1,500 500
Reserve
24,500 19,500 10,500 24,500 19,500 10,500
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357
Dr. Bank Account Cr.
Particulars Amount Particulars Amount
` `
To Bal. b/d 19,500 ByRealisation(liabilities) 34,400
ToRealisation ByRealisation(unrecorded 400
(assetsrealized) 55,200 liabilities)
____________ ______ By _________ _______
By _________ _______
80,920 80,920
16. Alfa Ltd. invited applications for issuing 75,000 equity shares of `10 each. The
amountwaspayableasfollows:
On application and allotment - ` 4 per share.
On first call - `3 per share
On second and fmal call - balance.
Applications for 1,00,000 shares were received. Shares were allotted to all the
applicants on pro-rata basis and excess money received with applications was
transferred towards sums due on first call. Vibha who was allotted 750 shares
failed to pay the first call. Her shares were immediately forfeited.Afterwards the
secondcallwasmade.Theamountdueonsecondcallwasalsoreceivedexcepton
1000 shares, applied by Monika. Her shares were also forfeited.All the forfeited
shares were re-issued to Mohit for ` 9,000 as fully paid up.
Pass necessary journal entries in the books ofAlfa Ltd. for the above transactions. 8
OR
Jeevan Dhara Ltd. invited applications for issuing 1,20,000 equity shares of `10
each at a premium of ` 2 per share. The amount was payable as follows:
On application - ` 2 per share.
Onallotment-` 5 pershare (including premium)
Onfirstandfinalcall-balance.
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358
Applications for 1,50,000 shares were received. Shares were allotted to all the
applicants on pro-rata basis. Excess money received on applications was adjusted
towards sums due on allotment.All calls were made. Manu who had applied for
3,000 shares failed to pay the amount due on allotment and first and final call.
Madhur who was allotted 2,400 shares failed to pay the first and final call. Shares
of both Manu and Madhur were forfeited. The forfeited shares were re-issued at
`9 per share as fully paid up.
Pass necessary journal entries for the above transactions in the books of Jeevan
Dhara Ltd.
17. Charu and Harsha were partners in a firm sharing profits in the ratio of 3 : 2. On
1-4-2014 their Balance Sheet was as follows: 8
Balance Sheet of Charu and Harsha as on 1- 4-2014
Liabilities Amount Assets Amount
` `
Creditors 17,000 Cash 6,000
GeneralReserve 4,000 Debtors 15,000
WorkmenCompensation 9,000 Investments 20,000
Fund
InvestmentFluctuation 11,000 Plant 14,000
Fund
Provision for bad debts 2,000 LandandBuilding 38,000
Capitals:
Charu 30,000
Harsha 20,000 50,000
93,000 93,000
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359
On the above dateVaishali was admitted for ¼th
share in the profits of the firm on
thefollowingterms:
(a) Vaishaliwillbring`20,000forhercapitaland`4,000forhershareofgoodwill
premium.
(b) All debtors were considered good.
(c) The market value of investments was ` 15,000.
(d) There was a liability of `6,000 for workmen compensation.
(e) Capital accounts of Charu and Harsha are to be adjusted on the basis of
Vaishali'scapitalbyopeningcurrentaccounts.
Prepare RevaluationAccount and Partners' CapitalAccounts.
OR
Amit,BalanandChanderwerepartnersinafirmsharingprofitsintheproportionof
6
1
and
3
1
,
2
1
respectively. Chander retired on 1-4-2014. The Balance Sheet of
the firm on the date of Chander' s retirement was as follows :
Balance Sheet of Amit, Balan and Chander as on 1-4-2014
Liabilities Amount Assets Amount
` `
SundryCreditors 12,600 Bank 4,100
ProvidentFund 3,000 Debtors 30,000
GeneralReserve 9,000 Less:Provision 1,000 29,000
Capitals: Stock 25,000
Amit 40,000 Investments 10,000
Balan 36,500 Patents 5,000
Chander 20,000 96,500 Machinery 48,000
1,21,100 1,21,100
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360
It was agreed that :
(a) Goodwill will be valued at ` 27,000.
(b) Depreciation of 10% was to be provided on machinery.
(c) Patents were to be reduced by 20%.
(d) Liability on account of Provident Fund was estimated at ` 2,400.
(e) Chander took over investments for ` 15,800.
(f) Amit and Balan decided to adjust their capitals in proportion of their profit
sharingratiobyopeningcurrentaccounts.
Prepare Revaluation Account and Partners' Capital Accounts on Chander's
retirement.
PART-B
(Financial StatementsAnalysis)
18. Whichofthefollowingtransactionswillresultinto'FlowofCash'?
(a) Deposited ` 10,000 into bank.
(b) Withdrew cash from bank ` 14,500.
(c) Sale of machinery of the book value of ` 74,000 at a loss of ` 9,000. 1
(d) Converted ` 2,00,000 9% debentures into equity shares.
19. Whilepreparingthe'CashFlowStatement'theaccountantofGulfamLtd.,afinancing
company showed 'Dividend received on Investments' as 'InvestingActivity'. Was
he correct in doing so ? Give reason. 1
20. Under which major headings the following items will be presented in the Balance
Sheet of a company as per Schedule VI Part I of the CompaniesAct, 1956 ?
(i) Loans provided repayable on demand
(ii) Goodwill
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361
(iii) Copyrights
(iv) Loose tools
(v) Cheques
(vi) GeneralReserve
(vii) Stock of finished goods and 4
(viii) 9% Debentures repayable after three years
21. From the following information related to Naveen Ltd. calculate (a) Return on
Investment and (b) TotalAssets to Debt Ratio.
Information : FixedAssets ` 75,00,000; Current Assets ` 40,00,000; 'Current
Liabilities`27,00,000;12%Debentures` 80,00,000andNetProfitbeforeInterest,
Tax and Dividend ` 14,50,000. 4
22. The motto of Yash Ltd., an advertising company is 'Service With Dignity'. Its
managementandworkforceishard-working,honestandmotivated.Thenetprofit
of the company doubled during the year ended 31-3-2014. Encouraged by its
performancecompanydecidedtogiveonemonthextrasalarytoallitsemployees.
FollowingistheComparativeStatementofProfitandLossofthecompanyforthe
years ended 31st
March 2013 and 2014. 4
Yash Ltd.
Comparative Statments of Profit and Loss.
Particulars Note 2012·13 2013·14 Absolute %
No. ` ` Change Change
`
Revenuefromoperations 10,00,000 15,00,000 5,00,000 50
LessEmployeesbenefitexpenses 6,00,000 7,00,000 1,00,000 16.67
Profit before tax 4,00,000 8,00,000 4,00,000 100
Tax Rate 25% 1,00,000 2,00,000 1,00,000 100
Profitaftertax 3,00,000 6,00,000 3,00,000 100
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362
(a) Calculate Net Profit Ratio for the years ending 31st March, 2013 and 2014.
(b) IdentifyanytwovalueswhichYashLtd.istryingtopropagate.
23. Following is the Balance Sheet of Thermal Power Ltd. as at 31-3-2014 :
ThermalPowerLtd.
Balance Sheet as at 31-3-2014
Particulars Note 2013-14 2012-13
No. ` `
I. EQUTYAND LIABILITIES
(1) ShareholdersFunds
(a) ShareCapital 12,00,000 11,00,000
(b) Reserves and Surplus 1 3,00,000 2,00,000
(2) NonCurrentLiabilities
LongTermBorrowings 2,40,000 1,70,000
(3) CurrentLiabilities
(a) Trade Payables 1,79,000 2,04,000
(b) ShortTermProvisions 50,000 77,000
Total 19,69,000 17,51,000
II. ASSETS
(1) Non-currentAssets
(a) FixedAssets
(i) Tangible 2 10,70,000 8,50,000
(ii) Intangible 3 40,000 1,12,000
(2) CurrentAssets
(a) CurrentInvestments 2,40,000 1,50,000
(b) Inventories 1,29,000 1,21,000
(c) TradeReceivables 1,70,000 1,43,000
(d) Cash and Cash equivalents 3,20,000 3,75,000
Total 19,69,000 17,51,000
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Notes to Accounts:
S. No. Particulars 2013-14 2012-13
` `
l. Reserves and Surplus
Surplus(balanceinstatementof
Profit and Loss) 3,00,000 2,00,000
2. TangibleAssets
Machinery 12,70,000 10,00,000
Less:AccumulatedDepreciation (2,00,000) (1,50,000)
3. IntangibleAssets
Goodwill 40,000 1,12,000
Additionalinformation:
During the year a piece of machinery, costing`24,000onwhichaccumulated
depreciation was `16,000, was sold for `6,000. 6
Prepare Cash Flow Statement.
PART-C
(ComputerizedAccounting)
18. A sequential code refers to a code applied to some document where:
(a) Numbers and letters are assigned in consecutive order.
(b) Where account heads are assigned to documents.
(c) Special names are given to documents.
(d) When documents are arranged in sequence of their names. 1
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19. 'DBMS' stands for:
(a) DividendBasedManagementSystem.
(b) Data Based Management Software.
(c) Data Base Management System.
(d) Divide the Basic Master Software. 1
20. Explaintheinformationprovidedbyasalarybill. 4
21. Whyisitnecessarytohavesafety,securityandconfidentialityfeaturesinaccounting
software? Explain any two tools which provide data safety. 4
22. Whatismeantby'Tailoredaccountingsoftware'?Explain. 4
23. Name and explain the financial function which calculates accrued interest for a
securitythatpaysperiodicinterest. 6
QUESTION PAPER CODE 67/1
PartA
(Accounting for Partnership Firms & Companies)
1. In the absence of Partnership Deed, interest on loan of a partner is allowed:
(i) at 8% per annum.
(ii) at 6% per annum.
(iii) nointerestisallowed.
(iv) at 12% per annum. 1
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2. Geeta, Sunita andAnita were partners in a firm sharing profits in the ratio of 5 : 3 :
2.On1.1.2015theyadmittedYogitaasanewpartnerfor1/10th
shareintheprofits.
OnYogita'sadmission,theProfitandLossAccountofthefirmwasshowingadebit
balanceof ` 20,000whichwascreditedbytheaccountantofthefirmtothecapital
accountsofGeeta,SunitaandAnitaintheirprofitsharingratio.Didtheaccountant
give correct treatment? Give reason in support of your answer. 1
3. Onthedeathofapartner,hisshareintheprofitsofthefirmtillthedateofhisdeath
is transferred to the :
(i) Debit of Profit and LossAccount.
(ii) Credit of Profit and LossAccount.
(iii) Debit of Profit and Loss SuspenseAccount.
(iv) Credit of Profit and Loss SuspenseAccount. 1
4. Anant,GulabandKhushbuwerepartnersinafirmsharingprofitsintheratioof5:
3 : 2. From 1.4.2014, they decided to share the profits equally. For this purpose
the goodwill of the firm was valued at ` 2,40,000.
Pass necessary journal entry for the treatment of goodwill on change in the profit
sharingratioofAnant,GulabandKhushbu. 1
5. Givethemeaningofforfeitureofshares. 1
6. Nirman Ltd. issued 50,000 equity shares of `10 each. The amount was payable
asfollows:
On application - ` 3 per share
On allotment - ` 2 per share
On first and final call ----The balance
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Applications for 45,000 shares were received and shares were allotted to all the applicants. Pooja,
to whom 500 shares were allotted, paid her entire share money at the time of allotment, whereas
Kundan did not pay the first and final call on his 300 shares. The amount received at the time of
makingfirstandfinalcallwas:
(i) ` 2,25,000
(ii) ` 2,20,000
(iii) ` 2,21,000
(iv) ` 2,19,500 1
7. Guru Ltd. invited applications for issuing 5,00,000 equity shares of ` 10 each at a
premiumof ` 5 per share. Because of favourable market conditions the issue was
over-subscribed and applications for 15,00,000 shares were received.
Suggest the alternatives available to the Board of Directors for the allotment of
shares. 3
8. On 1.4.2013, Brij and Nandan entered into partnership to construct toilets in
government girls schools in the remote areas of Uttarakhand. They contributed
capitals of ` 10,00,000 and` 15,00,000 respectively.Their profit sharing ratio was
2 : 3 and interest allowed on capital as provided in the Partnership Deed was 12%
perannum.Duringtheyearended31.3.2014,thefirmearnedaprofitof` 2,00,000.
Prepare Profit and LossAppropriationAccount of Brij and Nandan for the year
ended 31.3.2014. 3
9. 'Suvidha Ltd.' is registered with an authorised capital of `10,00,00,000 divided
into 10,00,000 equity shares of `100 each. The company issued 1,00,000 shares
forpublicsubscription.Ashareholderholding100shares,failedtopaythefinalcall
of `20 per share. His shares were forfeited. The forfeited shares were re-issued at
`90 per share as fully paid up.
Present the 'Share Capital' in the Balance Sheet of the company as per Schedule
VI Part I of the CompaniesAct, 1956.Also prepare 'Notes toAccounts'. 3
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10. 'Good Blankets Ltd.' are the manufacturers of woollen blankets. Blankets of the
company are exported to many countries. The company decided to distribute
blankets free of cost to five villages of Kashmir Valley destroyed by the recent
floods. It also decided to employ 100 young persons from these villages in their
newlyestablishedfactoryatSolaninHimachalPradesh.Tomeettherequirements
of funds for starting its new factory, the company issued 50,000 equity shares of
`10 each and 2,000 8% debentures of `100 each to the vendors of machinery
purchased for ` 7,00,000.
Passnecessaryjournalentriesfortheabovetransactionsinthebooksofthecompany.
Alsoidentifyany onevaluewhichthecompanywantstocommunicatetothesociety. 3
11. Arun, Varun and Karan were partners in a firm sharing profits in the ratio of 4 : 3 :
3. On 31.3.2014, their Balance Sheet was as follows:
Liabilities Amount Assets Amount
` `
Creditors 17,000 Cash 8,000
BillsPayable 12,000 Debtors 13,000
Karan's Loan 28,000 BillsReceivables 9,000
Capitals: Furniture 27,000
Arun 70,000 Machinery 1,25,000
Varun 68,000 1,38,000 Karan's Capital 13,000
1,95,000 1,95,000
On 30.9.2014, Karan died. The Partnership Deed provided for the following to
the executors of the deceased partner:
(a) His share in the goodwill of the firm calculated on the basis of three years'
purchase of the average profits of the last four years. The profits of the last
four years were ` 1,90,000; ` 1,70,000; ` 1,80,000 and ` 1,60,000
respectively.
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(b) His share in the profits of the firm till the date of his death calculated on the
basis of the average profits of the last four years.
(c) Interest @ 8% p.a. on the credit balance, if any, in his CapitalAccount.
(d) Interest on his loan @ 12% p.a. 4
Prepare Karan's CapitalAccount to be presented to his executors, assuming that
his loan and interest on loan were transferred to his CapitalAccount.
12. Prem, Param and Priya were partners in a firm. Their fixed capitals were Prem
` 2,00,000; Param ` 3,00,000 and Priya ` 5,00,000. They were sharing profits in
the ratio of their capitals. The firm was engaged in the sale of ready-to-eat food
packetsatthreedifferentlocationsinthecity,eachbeingmanagedbyPrem,Param
and Priya. The outlet managed by Prem was doing more business than the outlets
managed by Param and Priya. Prem requested Param and Priya for a higher share
in the profits of the firm which Param and Priya accepted. It was decided that the
newprofitsharingratiowillbe2:1:2anditseffectwillbeintroducedretrospectively
forthelastfouryears.Theprofitsofthelastfouryearswere` 2,00,000;` 3,50,000;
` 4,75,000 and ` 5,25,000 respectively.
Showingyourcalculationsclearly,passanecessaryadjustmententrytogiveeffect
to the new agreement between Prem, Param and Priya. 4
13. On 1.1.2008, Uday and Kaushal entered into partnership with fixed capitals of
` 7,00,000 and ` 3,00,000 respectively. They were doing good business and were
interested in its expansion but could not do the same because of lack of capital.
Therefore,tohavemorecapital,theyadmittedGovindasanewpartneron1.1.2010.
Govind brought ` 10,00,000 as capital and the new profit sharing ratio decided
was3:2:5.On1.1.2012,anothernewpartnerHariwasadmittedwithacapitalof
` 8,00,000 for 1/10th share in the profits, which he acquired equally from Uday,
Kaushal and Govind. On 1.4.2014 Govind died and his share was taken over by
UdayandHariequally.
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Calculate:
(i) ThesacrificingratioofUdayandKaushalonGovind'sadmission.
(ii) New profit sharing ratio of Uday, Kaushal, Govind and Hari on Hari's
admission.
(iii) New profit sharing ratio of Uday, Kaushal and Hari on Govind's death. 6
14. 'Ananya Ltd.' had an authorized capital of ` 10,00,00,000 divided into 10,00,000
equity shares of ` 100 each. The company had already issued 2,00,000 shares.
The dividend paid per' share for the year ended 31.3.2007 was ` 30. The
management decided to export its products to African countries. To meet the
requirements of additional funds, the finance manager put up the following three
alternate proposals before the Board of Directors :
(i) Issue 47,500 equity shares at a premium of ` 100 per share.
(ii) Obtain a long-term loan from bank which was available at 12% per annum.
(iii) Issue 9% debentures at a discount of 5%.
After evaluating these alternatives the company decided to issue 1,00,000, 9%
debentures on 1.4.2008. The face value of each debenture was ` 100. These
debentureswereredeemableinfourinstalmentsstartingfromtheendofthirdyear,
whichwasasfollows:
Years Amount
`
III 10,00,000
IV 20,00,000
V 30,00,000
VI 40,00,000 6
Prepare 9% debenture account from 1.4.2008 till all the debentures were redeemed.
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15. Mala, Neela and Kala were partners sharing profits in the ratio of 3 : 2 : 1. On
1.3.2015 their firm was dissolved. The assets were realized and liabilities were
paidoff.TheaccountantpreparedRealisationAccount,Partners'CapitalAccounts
and CashAccount, but forgot to post few amounts in these accounts.
You are required to complete these below given accounts by posting correct amounts.
Dr. Realisation Account Cr.
Particulars Amount Particulars Amount
` `
To SundryAssets : By Provision for bad 1,000
debts
Machinery 10,000 By Sundry Creditors 15,000
Stock 21,000 By Sheela's Loan 13,000
Debtors 20,000 By Repairs and 1,200
RenewalsReserve
PrepaidInsurance 400 By Cash -Assets sold:
Investments 3,000 54,400 Machinery 8,000
To Mala's CapitalA/c 13,000 Stock 14,000
- Sheela's Loan
To Cash - Creditors paid 15,000 Debtors 16,000 38,000
To Cash - Dishonoured bill 5,000 By Mala's Capital - 2,000
paid Investments
To Cash - Expenses 800 ............. .. .........
88,200 88,200
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Dr. CapitalAccounts Cr.
Particulars Mala Neela Kala Particulars Mala Neela Kala
` ` ` ` ` `
......... ......... ......... ......... ......... ......... ......... .........
......... ......... ......... ......... .........
To Cash 12,000 9,000 By Cash 1,000
23,000 15,000 3,000 23,000 15,000 3,000
Dr. Cash Account Cr.
Particulars Amount Particulars Amount
` `
To Balance b/d 2,800 ByRealisationA/c 15,000
- Creditors paid
ToRealisationA/c 38,000 ByDishonouredbill 5,000
- Sale of assets
To Kala's CapitalA/c 1,000 .......... .. .........
By Mala's CapitalA/c 12,000
By Neela's CapitalA/c 9,000
41,800 41,800 6
16. 'BMY Ltd.' invited applications for issuing 1,00,000 equity shares of ` 10 each at
a premium of ` 10 per share. The amount was payable as follows:
On application - ` 10 per share (including ` 5 premium)
On allotment - The balance
Theissuewasfullysubscribed.Ashareholderholding300sharespaidthefullshare
moneywith"application.Anothershareholderholding200sharesfailedtopaythe
allotment money. His shares were forfeited. Later on these shares were re-issued
for ` 4,000 as fully paid up.
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PassnecessaryjournalentriesfortheabovetransactionsinthebooksofBMYLtd.
OR
'BlueStarLtd.'wasregisteredwithanauthorizedcapitalof `2,00,000dividedinto
20,000 shares of ` 10 each. 6,000 of these shares were issued to the vendor for
building purchased. 8,000 shares were issued to the public and ` 5 per share were
calledupasfollows:
On application - ` 2 per share
On allotment - ` 1 per share
On first call - Balance of the called up amount
The amounts received on these shares were as follows :
On 6,000 shares - Full amount called
On 1,250 shares - ` 3 per share
On 750 shares - ` 2 per share 8
The directors forfeited 750 shares on which ` 2 per share were received. Pass
necessary journal entries for the above transactions in the books of Blue Star Ltd.
17. Om, Ram and Shanti were partners in a firm sharing profits in the ratio of 3 : 2 : 1.
On 1stApril, 2014 their Balance Sheet was as follows:
Liabilities Amount Assets Amount
` `
CapitalAccounts: LandandBuilding 3,64,000
Om 3,58,000 PlantandMachinery 2,95,000
Ram 3,00,000 Furniture 2,33,000
Shanti 2,62,000 9,20,000 BillsReceivables 38,000
GeneralReserve 48,000 Sundry Debtors 90,000
Creditors 1,60,000 Stock 1,11,000
BillsPayable 90,000 Bank 87,000
12,18,000 12,18,000
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OntheabovedateHanumanwasadmittedonthefollowingterms:
(i) Hewillbring`1,00,000forhiscapitalandwillget1/10thshareintheprofits.
(ii) Hewillbringnecessarycashforhisshareofgoodwillpremium.Thegoodwill
of the firm was valued at ` 3,00,000.
(iii) A liability of ` 18,000 will be created against bills receivables discounted.
(iv) The value of stock and furniture will be reduced by 20% ..
(v) Thevalueoflandandbuildingwillbeincreasedby10%.
(vi) Capital accounts of the partners will be adjusted on the basis of Hanuman's
capitalintheirprfitsharingratiobyopeningcurrentaccounts.
Prepare RevaluationAccount and Partners' CapitalAccounts.
OR
Xavier,YusufandZamanwerepartnersinafirmsharingprofitsintheratioof4:3:
2. On 1.4.2014 their Balance Sheet was as follows:
Liabilities Amount Assets Amount
` `
SundryCreditors 41,400 Cash at Bank 33,000
CapitalAccounts: SundryDebtors 30,450
Less:Provisionfor
Xavier 1,20,000 Bad Debts 1,050 29,400
Yusuf 90,000 Stock 48,000
Zaman 60,000 2,70,000 PlantandMachinery 51,000
LandandBuilding 1,50,000
3,11,400 3,11,400
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Yusufhadbeensufferingfromillhealthandthusgavenoticeofretirementfromthe
firm.Anagreementwas,therefore,enteredintoason1.4.2014,thetermsofwhich
wereasfollows:
(i) That land and building be appreciated by 10%.
(ii) The provision for bad debts is no longer necessary.
(iii) That stock be appreciated by 20%.
(iv) That goodwill of the firm be fixed at ` 54,000.Yusuf's share of the same be
adjustedintoXavier'sandZaman'sCapitalAccounts,whoaregoingtoshare
future profits in the ratio of 2 : 1.
(v) Theentirecapitalofthenewlyconstitutedfirmbereadjustedbybringinginor
payingnecessarycashsothatthefuturecapitalsofXavierandZamanwillbe
intheirprofitsharingratio.
Prepare RevaluationAccount and Partners' CapitalAccounts. 8
PART B
(Analysis of Financial Statements)
18. Whichofthefollowingtransactionswillresultintoflowofcash?
(i) Cash withdrawn from bank ` 20,000.
(ii) Issued ` 20,000,9% debentures for the vendors of machinery.
(iii) Received ` 19,000 from debtors.
(iv) Deposited cheques of ` 10,000 into bank. 1
19. The accountant of Manav Ltd. while preparing Cash Flow Statement added
depreciation provided on fixed assets to net profit for calculating cash flow from
operating activities. Was he correct in doing so ? Give reason. 1
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20. Under which major headings and sub-headings will the following items be shown in the Balance
Sheet of a company as per Schedule VI Part I of the CompaniesAct, 1956 :
(i) Net loss as shown by Statement of Profit and Loss.
(ii) Capitalredemptionreserve.
(iii) Bonds.
(iv) `Loans repayable on demand.
(v) Unpaiddividend.
(vi) Buildings.
(vii) Trade marks.
(viii) Raw materials. 4
21. The Current Ratio of a company is 2·1 : 1·2. State with reasons wihich of the
followingtransactionswillincrease,decreaseornotchangetheratio:
(i) Redeemed 9% debentures of `1,00,000 at a premium of 10%.
(ii) Received from debtors ` 17,000.
(iii) Issued ` 2,00,000 equity shares to the vendors of machinery.
(iv) Accepted bills of exchange drawn by the creditors ` 7,000. 4
22. Themottoof'PharmaLtd.',acompanyengagedinthemanufacturingoflow-cost
generic medicines, is 'Healthy India'. Its management and employees are
hardworking,honestandmotivated.Thenetprofitofthecompanydoubledduring
the year ended 31.3.2014. Encouraged by its performance, the company decided
to pay bonus to all employees at double the rate than last year.
FollowingistheComparativeStatementofProfitandLossofthecompanyforthe
years ended 31.3.2013 and 31.3.2014.
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PharmaLtd.
Comparative Statement of Profit and Loss
Particulars Note 2012 -13 2013 -14 Absolute %
No. ` ` Change ` Change
Revenuefrom 20,00,000 30,00,000 10,00,000 50
operations
LessEmployees 12,00,000 14,00,000 2,00,000 16·67
benefitexpenses
Profit before tax 8,00,000 16,00,000 8,00,000 100
Tax at 25% rate 2,00,000 4,00,000 2,00,000 100
Profitaftertax 6,00,000 12,00,000 6,00,000 100
(i) Calculate Net Profit Ratio for the years ending 31th
March, 2013 and 2014.
(ii) Identify any two values which 'Pharma Ltd.' is trying to propagate. 4
23. Following is the Balance Sheet of Solar Power Ltd. as at 31.3.2014 :
Solar Power Ltd.
Balance Sheet
Note 31.3.2014 31.3.2013
Particulars No. ` `
I - Equity and Liabilities:
1. Shareholder's Funds:
(a) ShareCapital 24,00,000 22,00,000
(b) Reserves and Surplus 1 6,00,000 4,00,000
2. Non-Current Liabilities:
Long-TermBorrowings 4,80,000 3,40,000
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3. Current Liabilities :
(a) Trade Payables 3,58,000 4,08,000
(b) Short-TermProvisions 1,00,000 1,54,000
Total 39,38,000 35,02,000
II -Assets:
1. Non-CurrentAssets:
(a) Fixed Assets:
(i) Tangible 2 21,40,000 17,00,000
(ii) Intangible 3 80,000 2,24,000
2. Current Assets:
(a) CurrentInvestments 4,80,000 3,00,000
(b) Inventories 2,58,000 2,42,000
(c) TradeReceivables 3,40,000 2,86,000
(d) Cash and Cash equivalents 6,40,000 7,50,000
Total 39,38,000 35,02,000
Notes to Accounts
S. Particulars As on As on
No. 31.3.2014 31.3.2013
` `
1. Reserves and Surplus
Surplus(balanceinStatementof 6,00,000 4,00,000
Profit and Loss)
2. Tangible Assets 25,40,000 20,00,000
Machinery
Less:AccumulatedDepreciation. (4,00,000) (3,00,000)
3. Intangible Assets 80,000 2,24,000
Goodwill
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Additional Information:
During the year a piece of machinery costing ` 48,000 on which accumulated
depreciation was ` 32,000 was sold for ` 12,000.
Prepare Cash Flow Statement. 6
PART B
(ComputerizedAccounting)
18. 'SJ' for sales journal and 'NDRS' for New Delhi railway station are the
examplesofwhichofthefollowing?
(i) Block codes.
(ii) Mnemoniccodes.
(iii) Sequentialcodes.
(iv) Accountingcodes. 1
19. Thecommonfieldsusedinarelationshipbetweentablesarecalled:
(i) Keyfields.
(ii) Tablefields.
(iii) Mainfields.
(iv) Jointfields. 1
20. Statetheelementswhichareconsideredwhilecalculating'deductions'forcurrent
payrollperiod. 4
21. What is meant by 'DBMS' ? Explain any two of its advantages. 4
22. Explainanytwoadvantagesofusinggraphs/charts. 4
23. State the steps to be followed to change conditional format. 6
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Marking Scheme — Accountancy 67/1/1
General Instructions
1 Markingschemeprovidesgeneralguidelinestoreducesubjectivityinthemarking.The
answersgiveninthemarkingschemearesuggestedanswers.Thecontentisthusindicative.
If a student has given any other answer which is different from the one given in the
marking scheme but conveys the same meaning, such answers should be given full
weightage.
2. Evaluation is to be done as per instructions provided in the Marking Scheme. It should
not be done according to one's own interpretation or any other consideration-Marking.
Schemeshouldbestrictlyadheredtoandreligiouslyfollowed.
3. The Head-Examiner has to go through the first five answer scripts evaluated by each
evaluator to ensure that evaluation has been carried out as per the instructions given in
theMarkingScheme.Theremaininganswerscriptsmeantforevaluationshallbegiven
onlyafterensuringthatthereisnosignificantvariationinthemarkingofindividualevaluators.
4. If a question has parts, please award marks on the right hand side for each part. Marks
awarded for different parts of the question should then be totalled up and written in the
lefthandmarginandencircled.
5. Ifaquestiondoesnothaveanyparts,marksmustbeawardedinthelefthandmarginand
encircled.
6. If a student has attempted an extra question, answer of the question deserving more
marks should be retained and other answer scored out.
7. No marks to be deducted for the cumulative effect of an error. It should be penalized
onlyonce.
S. Deductions up to 25% of the marks must be made if the student has not drawn formats
of the Journal and Ledger and has not given the narrations.
9. A full scale of marks I-SO has to be used. Please do not hesitate to award full marks if
the answer deserves it.
10. No marks are to be deducted or awarded for writing / not writing 'TO and BY' while
preparing Journal and Ledger accounts.
11. In theory questions, credit is to be given for the content and not for the format.
12. IncompliancetothejudgmentoftheHon'bleSupremeCourtofIndia,Boardhasdecided
toprovidephotocopyoftheanswerbook(s)tothecandidateswhowillapplyforitalong
withtherequisitefeefrom2012examination.Therefore,itisallthemoreimportantthat
theevaluationisdonestrictlyasperthevaluepointsgiveninthemarkingschemesothat
the Board could be in a position to defend the evaluation at any forum.
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13. In the light of the above judgment instructions have been incorporated in the guidelines for
Centre Superintendents to ensure that the answer books of all the appeared candidates have
beensenttotheBoard'sofficeandintheGuidelinesforspotevaluationfortheExaminersthat
they have to evaluate the answer books strictly in accordance with the value points given in
themarkingschemeandthecorrectsetofthequestionpaper.Theexaminer(s)shallalsohave
tocertifythis.
14. EveryExaminershouldstayuptosufficientlyreasonabletimenormally5-6hourseveryday
and evaluate 20-25 answer books.
15. Inthepastithasbeenobservedthatthefollowingarethecommontypesoferrorscommitted
bytheExaminers-,
Leaving answer or part thereof unassessed in an answer script
Giving more marks for an answer than assigned to it or deviation from the marking
scheme.
Wrongtransferenceofmarksfromtheinsidepagesoftheanswerbooktothetitlepage.
Wrongquestionwisetotalingonthetitlepage.
Wrong totaling of marks of the two columns on the title page
Wronggrandtotal
Marksinwordsandfiguresnottallying
Wrong transference to marks from the answer book to award list
Answers marked as correct but marks not awarded.
Half or a part of answer marked correct and the rest as wrong but no marks awarded.
16. Whileevaluatingtheanswerscriptsiftheanswerisfoundtobetotallyincorrect,itshouldbe
marked as (X) and awarded zero(0) Marks.
17. Anyunassessedportion,non-carryingoverofmarkstothetitlepageortotalingerrordetected
bythecandidateshalldamagetheprestigeofallthepersonnelengagedintheevaluationwork
as also of the Board. Hence in order to uphold the prestige of all concerned, It is again
reiteratedthattheinstructionsbefollowedmeticulouslyandjudiciously.
I8. The Examiners should acquaint themselves with the guidelines given in the Guidelines for
SpotEvaluationbeforestartingtheactualevaluation.
19. EveryExaminershallalsoensurethatalltheanswersareevaluated,markscarriedovertothe
title page, correctly totaled and written in figures and words.
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QUESTION PAPER CODE 67/1/1
EXPECTEDANSWERS/VALUE POINTS
PARTA
1. In the absence of ...................... partners. 1 Mark
Ans. (b) Equally
2. A,B,C and D ............................ of your answer.
Ans. No, the accountant was not correct.
Reason: Since the new partner brought his share of goodwill in cash it cannot be (½+½)
shown in the books. =1 Mark
3. On the retirement ........................... Sharma equally. 1 Mark
Ans. (b) to the debit of the capital accounts of Hari, Ram and Sharma equally.
4. Kumar, Verma and Naresh ................... of the firm.
Ans. Journal
Date Particulars LF Dr (`) Cr (`)
2015 Profit & Loss SuspenseA/c Dr. 2,250
Jan 23 To Verma's CapitalA/c
(Verma's share of profit 2,350 1 Mark
upto 23rd June 2015)
5. Give the .......................................... forfeiture of share. 1 Mark
Ans. Forfeitureofsharesmeanscancellationofsharesallotedandtreatingactuallyreceived
amountasforfeited.
[or any other suitable meaning]
6. Joy Ltd. Issued ............................... allotment was. 1 Mark
Ans. (C) ` 3,80,250
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7. State the three purposes ........................... can be utilised
Ans. The amount received as securities premium can be used other than 'issue of bonus
shares'forthefollowingpurposes: (Any three)
Inwritingoffthepreliminaryexpensesofthecompany.
For writing off the expenses, commission or discount allowed on issue of
shares or debentures of the company.
Forprovidingthepremiumpayableonredemptionofredeemablepreference
shares or debentures of the company.
1 Mark each
For buy back of its own shares. = 3 Marks
8. On 1-4-2013 Jay and Vijay ......................... year ended 31-3-2014.
Ans. In the books of Jay and Vijay
Profit & LossAppropriationA/c
Dr. For the year ended 31st March 2014 Cr.
Particulars Amount (`) Particulars Amount (`)
To Interest on Capital : ByProfitfor 7,800
Jay's CapitalA/c theyear/
7800x8/13=4800 7,800 ByP&LA/c
Vijay'sCapitalA/c
7800x5/13=3000
7,800 7,800
Workingnotes: 3 Marks
CalculationofInterestonCapital:
`
a) Interest on Jay's Capital: 7,200
b) InterestonVijay'sCapital: 4,500
Total: 11,700
The available profit is ` 7,800 since the profit is less than interest, the available
profit will be distributed in the ratio of interest i.e. 7,200:4,500 or 8:5.
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9. Tractors India Ltd ............................... for the same.
Ans. Balance Sheet of Tractors India Ltd.
As at .......................... (As per revised schedule VI)
Particulars Note No. Amount ` Amount`
Current year previous year
EQUITY&LIABILITIES
IShareholder'sfunds: 1
a) Share Capital (1) 4,97,500
Notes to Accounts
Particulars `
(1) ShareCapital
AuthorisedCapital:
1,00,000 equity shares of ` 10 each 10,00,000 1
Issued Capital
50,000 equity shares of ` 10 each 5,00,000 ½
Subscribed and fully paid
49,500 shares of ` 10 each ` 4,95,000
Subscribed but not fully paid
500 shres of ` 10 each 5,000
Less: Calls in arrear (500 x ` 5) (2,500) ` 2,500 4,97,500 ½ =
3 Marks
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10. SangamWoollens Ltd ................................... to the society.
Ans. Books of Sangam Woollens Ltd.
Journal
Date Particulars L.F. Dr (`) Cr (`)
(i) MachineryA/c Dr. 5,00,000 5,00,000 1
To VendorsA/c
(Forpurchaseofmachinery)
(ii) VendorsA/c Dr. 5,00,000
To Equity Share CapitalA/c 4,00,000 1
To 9% DebenturesA/c 1,00,000
(For issue of equity shares and
debentures at par)
OR
VendorsA/c Dr. 4,00,000
To Equity Share CapitalA/c 4,00,000 ½
(For issue of equity shares)
VendorsA/c Dr. 1,00,000
To 9% DebenturesA/c 1,00,000 ½
(For issue debentures at par)
b) Values which the company wants to communicate to the
society: (Anyone)
Fulfilling/Dischargingofsocialresponsibility. 1 =
Generationofemploymentopportunitiesinruralareas 3 Marks
(OR any other suitable value.)
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11. Dev, Swati and Sanskar .............................. presented to his executor.
Ans. Dev's Capital A/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
ToDrawingsA/c ½ 15,000 By Balance b/d 77,000 ½
To Profit LossA/c ½ 22,800 ByP/LSuspenseA/c 10,425 1
To Dev's ExecutorA/c ½ 51,935 By Interest on Capital 2,310 1
89,735 89,735
Working notes:
i. Calculation of Interest on Capital: 77,000 x 12/100 x 3/12 = ` 2,310
ii. CalculationofShareofProfit:
Average Profit = ` (2,04,000 + 1,80,000 + 90,000 - 57,000) /4
= ` 1,04,250
iii. Dev's share of profit = 1,04,250 x 2/5 x 3/12 = ` 10,425
iv. Share in p/LA/c (Dr Balance of P&L= 57,000 x 2/5 = ` 22,800 = 4 Marks
NO MARKS FOR WORKING NOTES
12. Kumar, Gupta and Kavita ..................................... Journal entry.
Ans. i. Calculation of Goodwill of the firm
Average Profit = ` (4,00,000 + 4,80,000 + 7,33,000 - 33,000 + 2,20,000 ) / 5 2
= ` 3,60,000
Goodwill.of the firm = 2 x 3,60,000 = ` 7,20,000
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Journal
Date Particulars L.f. Dr. Cr.
Amt (`) Amt (`)
Gupta's CapitalA/c Dr. 1,20,000
To Kumar's CapitalA/c 60,000
To Kavita's CapitalA/c 60,000 2
(Adjustmentofgoodwillamong
partnersonchangeinprofit
sharingratio)
Old ratio = 1:1:1
New Ratio = 1:2:1
Kumar's Sacrifice = 1/3 - 1/4 = 1/12 = 4 Marks
Gupta's Gain = 1/3 - 2/4 = 2/12
Kavita's Sacrifice = 1/3-1/4 = 1/12
Kumar's sacrifice = 7,20,000 x 1/12 = ` 60,000
Gupta's Gain = 7,20,000 x 2/12 = ` 1,20,000
Kavita's Sacrifice = 7,20,000 x 1/12 = ` 60,000
13. On 1-4-2010 Sahil. ........................... admission.
Ans. 1. CalculationofNewProfitSharingratioofSahil,CharuandTanu
Sahil's old share = 4/7 .
Sahil surrender = 1/5 x 1/2 = 1/10 in favour of Tanu
Sahil's new share = 4/7 -1/10 = 33/70 1
Charu's old share = 3/7
Charu surrenders = 1/5 x 1/2 = 1/10 in favour of Tanu
Charu's new share = 3/7 - 1/10 = 23/70 1
Tanu's share = 1/10 + 1/10 = 2/10
New Profit Sharing ratio among Sahil, Charu and Tanu = 33/70: 23/70: 2/10 or 14/70 3
. = 33:23:14 1
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2. Calculation of New Profit Sharing Ratio of Sahil, Charu, Tanu and Puneet
Sahil's old share = 33/70
Sahil surrenders in favour of Puneet = 1/7 x 7 10 = 7/70
So, Sahil's new share = 33/70 - 7/70 = 26/70 ½
Charu's old share = 23/70
Charu surrenders in favour of Puneet = 1/7 x 3/10 = 3/70
Charu's new share = 23/70 - 3/70 = 20/70 ½
Tanu's new share = 14/70 ½
Puneet's new share = 1/7 or 10/70 ½
New Profit Sharing ratio among partners = 26/70:20/70:14/70:10/70 3 =
= 26:20;14:10 6 Marks
= 13:10:7:5 1
14. Bharat Ltd .................................. ....... 9% Debentures A/c.
Ans. 9% Debentures A/c
Dr. Cr.
Date Particulars LF Amount Date Particulars LF Amount
(`) (`)
2009 To Balance c/d 6,00,000 2008 By Debentures 5,40,000
Mar31 Apr 1 app & all A/c
By Discount on 60,000 2
issse of
6.00.000 debentures A/c 6.00.000
2010 To Balance c/d 6,00,000 2009 By Balance b/d 6,00,000
2
Mar 31 Apr 1 6,00,000
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2011 To Debenture 1,00,000 2010 By Balance b/d 6,00,000
Mar 31 holders A/c April1
To Balance c/d 5,00,000
6.00.000 6.00.000
2012 To Debenture 1,00,000 2011 By Balance bid 5,00,000
Mar31 Holder A/c Apr 1
To Balance c/d 4,00,000
5,00,000 5,00,000 2
2013 To Debenture 2,00,000 2012 By Balance bid 4,00,000
Mar 31 Holder A/c Apr 1
To Balance c/d 2,00,000
4,00,000 4,00,000
2014 To Debenture 2,00,000 2013 By Balance bid 2,00,000
Mar 31 holders A/c Apr 1 = 6
2,00,000 2,00,000 Marks
Note:
First two years account is necessary to be correctly prepared and four
marks have to be awarded. However, if an examinee has not prepared last
four years account, stating/ mentioning that amount of debentures to be
redeemed is not given in the question then additional credit of two marks is
to be given.
Ifanexamineehaspreparedthelastfouryearsaccountcorrectlymentioning
any amount then also full credit of two marks is to be given.
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15. Bora, Singh and Ibrahim .................................... amounts.
Ans. RealisationA/c
Dr. Cr.
Particulars Amt (`````) Particulars Amt (`````)
To Stock 10,000 By Provision for bad debts 5,000
To Debtors 25,000 By Sundry Creditors 16,600
ToPlantandMachinery 40,000 ByBillsPayable 3,400
ToBank: ByMortgageLoan 15,000
Sundrycreditors 16,000 By Bank - assets realised:
BillsPayable 3,400 Stock - 6,700
MortgageLoan 15,000 34,400 Debtors - 12,500
ToBank(Outstanding 400 Plant& 36,000 55,200 1
repairs) Machinery-
To Bank (Exp.) 620 By Bank - unrecorded assets
realised 6220
By loss Transferred to
Partners'CapitalA/c:
Bora 5,000
Singh 3.000
Ibrahim 1,000 9,000
1,10,420 1,10,420
Dr. Partner's CapitalA/c Cr.
Particulars Bora Singh Ibrahim Particulars Bora Singh Ibrahim
````` ````` ````` ````` ````` `````
To Realisation 5,000 3,000 1,000 By Balance 22,000 18,000 10,000
A/c b/d
To Bank A/c 19,500 16,500 9,500 By General 2,500 1,500 500 2
Reserve A/c
24,500 19,500 10,500 24,500 19,500 10,500
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Dr. Bank A/c Cr.
Particulars Amt (`) Particulars Amt (`)
To Bal. b/d 19,500 ByRealisation(liabilities) 34,400 3
Torealisation 55,200 ByRealisation(unrecorded 400-
(assetsrealized) liabilities)
ToRealisationA/c ByRealisationA/c 620
(unrecorded assets) 6,220 (Expenses)
By Bora's CapitalA/c 19,500
BySingh'sCapitalA/c 16,500
By Ibrahim's CapitalA/c 9,500 45,500
80,920 80,920 = 6
Marks
16. Alfa Ltd. ................................... transactions,
Ans. Books of Alfa Ltd.
Journal
Date Particulars LF Dr.Amt Cr. Amt
(`) (`)
i. BankA/c Dr. 4,00,000
ToEquityShareApplication.&
AllotmentA/c 4,00,000 ½
(Forapplicationmoneyreceivedon
1,00,000 shares)
ii. EquityShareApplication& Dr. 4,00,000
AllotmentA/c
To Equity Share CapitalA/c 3,00,000 1
To Calls inAdvanceA/c / 1,00,000
Equity Share I CallA/c
(Forequityshareallotmentmade)
1
1
1
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iii. EquitySharefirstcallA/c Dr. 2,25,000
To Equity Share CapitalA/c 2,25,000 ½
(Forfirstcallmoneydue)
iv. BankA/c Dr. 1,23,750
CallsinadvanceA/c Dr. 1,00,000 1
ToEquitysharefirstcallA/c
2,23,750
(Forfirstcallmoneyreceivedexcept
on 750 shares)
OR
BankA/c Dr. 1,23,750
Calls in arrearsA/c Dr. 1,250
CallsinadvanceA/c Dr. 1,00,000
To Equity Share First CallA/c 2,25,000
(Forfirstcallmoneyreceivedexcept
on 750 shares and the advance adjusted)
v. EquityShareCapitalA/c Dr. 5,250
To Share ForfeitureA/c 4,000 1
ToEquitySharefirstcall/Callsin
arrearsA/c 1,250
(For 750 shares forfeited)
vi. EquitySharesecondandfinalcallA/c Dr. 2,22,750
To Equity Share CapitalA/c 2,22,750 ½
(For second and final call money due
on 74250 shares)
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vii. BankA/c Dr. 2,20,500
To Equity share second and final call a/c 2,20,500 ½
(Forsecondandfinalcallmoneyreceived
except on 750 shares)
OR
BankA/c Dr. 2,20,500
Calls in arrearsA/c Dr. 2,250
To EquitysharesecondandfinalcallA/c 2,22,750
(Forsecondandfinalcallmoneyreceived
except on 750 shares)
viii. EquityShareCapitalA/c Dr. 7,500
To Share ForfeitureA/c 5,250 1
To Equity Share second and final call / 2,250
Calls in arrearsA/c
(For 750 shares forfeited)
ix. BankA/c Dr. 9,000
ShareforfeitureA/c Dr. 6,000
To Equity Share CapitalA/c 15,000 1
(For shares reissued for `9 per share
fullypaidup)
x. ShareforfeitureA/c Dr. 3,250 1
To capital reserveA/c 3,250 =
(For forfeiture balance transferred to 8 Marks
capitalreserve)
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16. Jeevan dhara Ltd ...................................... .Journal Entries.
OR/Ans. Books of Jeevan Dhara Ltd.
Journal
Date Particulars LF Dr.Amt Cr. Amt
(`) (`)
i. BankA/c Dr. 3,00,000
ToEquityShareApplicationA/c 3,00,000 ½
(Forapplicationmoneyreceivedon
1,50,000 shares)
ii. EquityShareApplicationA/c Dr. 3,00,000
To Equity Share CapitalA/c 2,40,000 1
ToEquityShareAllotmentA/c 60,000
(Forequityshareallotmentmade)
iii. EquityShareallotmentA/c Dr. 6,00,000
To Equity Share CapitalA/c 3,60,000 1
ToSecuritiespremium/Securities 2,40,000
premiumreserveA/c
(Forallotmentmoneydue)
iv. BankA/c Dr. 5,29,200
ToEquityshareallotmentA/c 5,29,200 1
(Forallotmentmoneyreceivedexcept
on 2,400 shares)
OR
BankA/c Dr. 5,29,200
Calls in arrearsA/c Dr. 10,800
ToEquityShareAllotmentA/c 5,40,000
(Forallotmentmoneyreceivedexcept
on 2,400 shares and the advance adjusted)
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v. EquitySharefirstandfinalcallA/c Dr. 6,00,000 ½
To Equity Share CapitalA/c 6,00,000
(Forfirstandfinalcallmoneydueon
1,20,000 shares)
vi. BankA/c Dr. 5,76,000
ToEquitysharefirstandfinalcallA/c 5,76,000
(Forfirstandfinalcallmoneyreceived
except on 4800 shares) 1
OR
BankA/c Dr. 5,76,000
Calls in arrearsA/c Dr. 24,000
ToEquitysharefirstandfinalcallA/c 6,00,000
(Forfirstandfinalcallmoneyreceived
except on 4800 shares)
vii. EquityShareCapitalA/c Dr. 48,000
SecuritiesPremium/SecuritiesPremium
ReserveA/c Dr. 4,800 1
To Share ForfeitureA/c 18,000
ToEquityshareallotmentA/c 10,800
ToEquitySharefirstandfinalcall 24,000
(For 4800 shares forfeited)
OR
EquityShareCapitalA/c Dr. 48,000
SecuritiesPremium/SecuritiesPremium
ReserveA/c Dr. 4,800
To Equity Share ForfeitureA/c 18,000
To Calls in arrearsA/c 34,800
(For 4800 shares forfeited)
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viii. BankA/c Dr. 43,200
ShareforfeitureA/c Dr. 4,800 1
To Equity Share CapitalA/c 48,000
(For shares reissued for `9 per share
fullypaidup)
ix. ShareforfeitureA/c Dr. 13,200 1
To capital reserveA/c 13,200
(For forfeiture balance transferred to =
capitalreserve) 8 Marks
17. Charu and Harsha .............................. CapitalAccounts.
Ans. RevaluationA/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
To Profit transferred to By Provision for Bad Debts 2,000
Partner's CapitalA/c A/c
Charu 1,200 2
Harsha 800 2,000
2,000 2,000
Partner's CapitalA/c
Particulars Charu Harsha Vaishali Particulars Charu Harsha Vaishali
` ` ` ` ` `
To Current 5,400 3,600 ------ By Balance 30,000 20,000 ------
A/cs b/d
To Balance c/d 36,000 24,000 20,000 By General 2,400 1,600 ------
Reserve A/c
By Cash A/c ------ ------ 20,000
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By premium 2,400 1,600 ------
for goodwill
A/c
By Revaluation 1,200 800 ------
A/c
By Workmen 1,800 1,200 ------
Compensation
Fund
By Investment 3,600 2,400 ------ 6
fluctuation fund Marks
41,400 27.600 20,000 41,400 27.600 20,000 = 8
Marks
OR
17. Amit, Balan and Chander ............................. retirement.
Ans. RevaluationA/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
ToMachineryA/c 4,800 By Provident FundA/c 600
To PatentsA/c 1,000 ByInvestments 5,800
To Profit transferd to
Partner's CapitalA/c
Amit 300
Balan 200 3 Marks
Chander 100 600
6,400 6,400
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Partner's CapitalA/c
Particulars Amit Balan Chander Particulars Amit Balan Chander
(`) (`) (`) (`) (`) (`)
To Chander's 2,700 1,800 ------ By Balance b/d 40,000 36,500 20,000
Capital A/c
To Investmen ------ ------ 15,800 By General 4,500 3,000 1,500
5
A/c Reserve A/c
Marks
To Chander's ------ ------ 10,300 By Amit's ------ ------ 2,700
Loan A/c Capital
To Balna's 5,900 By Balan's ------ ------ 1,800
Current A/c Capital
To Balance c/d 48,000 32,000 By Revaluation 300 200 100
A/c
By Amit's 5,900 =
Current A/c 8
50,700 39,700 26,100 50,700 39,700 26,100
Marks
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PART B
(Financial StatementsAnalysis)
18. Which ............................................. equity shares.
Ans. (c) Sale of machinery of the book value of ` 74,000 at a loss of ` 9,000 1 Mark
19. While preparing ...................................... reason.
Ans. No, he is not correct. ½ + ½
Reason: As Gulfam Ltd. Is a financing company so dividend recieved is an = 1 Mark
operatingactivityforit.
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20. Under which ...................................... three years.
Ans.
S.No. Items Major Heads
1 Loans provided repayable on demand CurrentLiabilities
2 Goodwill Non current assets
3 Copyrights Non current assets
4 Loose tools Current assets ½ x 8
5 Cheques Current assets = 4 Marks
6 GeneralReserve Shareholders'funds
7 Stock of finished goods Current assets
8 9% Debentures repayable after three Noncurrentliabilities
years
21. From the .......................................... Tax and Dividend.
Ans. a) ReturnonInvestment
= Net Profit before Interest, tax and Dividend/Capital Employed x 100
Net Profit before Interest, tax and Dividend = ` 14,50,000 2 Marks
Capital Employed = FixedAssets + CurrentAssets - Current Liabilities
= ` 75,00,000 + ` 40,00,000 - ` 27,00,000 = ` 88,00,000
Return on Investment = ` 14,50,000 / ` 88,00,000 x 100
= 16.47%
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b) TotalAssets to Debt Ratio = TotalAssets / Long term debt
TotalAssets=FixedAssets+CurrentAssets=75,00,000+40,00,000=`1,15,00,000
Long term Debt = 12% Debentures = ` 80,00,000 2 Marks
TotalAssets to Debt Ratio = 1,15,00,000/80,00,000 = 4 Marks
= 1.44:1
22. The motto ......................................... to propagate.
Ans. a) Net Profit Ratio = Net Profit after tax / Revenue from operations x 100
As on 31-03-2013 = 3,00,000/ 10,00,000 x 100
=30% 2 Marks
As on 31-03-2014 = 6,00,000 /15,00,000 x 100
= 40%
b) Values: (Any two)
ParticipationofEmployeesinexcessprofits.
Treating employees a part of the company.
Ethical practices of company 2 x 1 2 Marks
Hardwork and honesty of employees. = 2
Servingtheorganisationwithdignity. =
(Or any other suitable value) 4 Marks
Note : For Hindi medium students only :
If in place of values, an examinee has mentioned any two profitability
ratios, full credit needs to be given.
½
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23. Prepare a Cash flow Statement ............... 31-3-2013 and 31-3-2012.
Ans. Cash flow statement of Thermal Power Ltd.
For the year ended 31st March 2014 as per AS-3 (Revised)
Particulars Details (`) Amount (`)
Cash Flows from OperatingActivities:
Net Profit before tax & extraordinary items 1,00,000
Add: Non cash and non-operating charges
Goodwillwrittenoff 72,000
Depreciationonmachinery 66,000
Lossonsaleofmachinery 2,000
Operatingprofitbeforeworkingcapitalchanges 2,40,000
Less: Increase in CurrentAssets
Increase in trade receivables (27,000)
Increaseininventories (8,000)
Less: Decrease in Current Liabilities
Decrease in trade payables (25,000)
Decrease in short term provisions (I) (27.000)
CashgeneratedfromOperatingActivities 1,53,000 1,53,000 2
Cash flows from InvestingActivities:
Purchaseofmachinery (2,94,000)
Saleofmachinery 6,000
Cashusedininvestingactivities (2,88,000) (2,88,000) 1
Cash flows from FinancingActivities:
Issue of share capital 1,00,000
Moneyraisedfromborrowings 70,000
Cashfromfinancingactivities 1,70,000 1,70,000 1
Net increase in cash & cash equivalents 35,000
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Add: Opening balance of cash & cash
equivalents:
Current Investments (II) 1,50,000
Cash&cashequivalents 3,75,000 1
5,25,000
ClosingBalanceofcash&cashequivalents:
Current Investments (II) 2,40,000
Cash&cashequivalents 3,20,000 5.60.000
Working Notes:
Machinery A/c
Particulars Amount (`) Particulars Amount (`)
To Balance b/d 10,00,000 By BankA/c 6,000 ½
To BankA/c (Bal. Figure) 2,94,000 ByAccumulated 16,000
Depreciation
By Loss on sale of 2,000
machinery
By Balance c/d 12,70,000
12,94,000 12,94,000
Accumulated DepreciationA/c
Particulars Amount (`) Particulars Amount (`)
ToMachineryA/c 16,000 By Balance b/d 1,50,000
½ = 6
To balance c/d 2,00,000 ByDepreciationA/c 66,000 Marks
(Balfig.)
2.16.000 2.16.000
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Notes:
(I) If short term provision is not treated as current liabilities by an examinee:
Decrease in short term provisions will not be shown.
1. If short term provision is treated as provision for doubtful debts.
Operatingprofitbeforeworkingcapitalchangeswillbe`2,13,000.
There is no change in the cash flow from the three activities and
fullcreditistobegivenforthistreatmentalso.
2. If short term provision is treated as provision for tax:
Net profit before tax and extraordinary items will be ` 1,50,000.
Operatingprofitbeforeworkingcapitalchangeswillbe`2,90,000.
Cash generated from operations before tax will be ` 2,30,000
Tax paid off ` 77,000 will be deducted for calculating cash from
operatingactivities.
There is no change in the cash flow from the three activities and
fullcreditis to be given for this treatment also.
3. If short term provision is treated as proposed dividend:
Net profit before tax and extraordinary items will be ` 1,50,000.
Cash from operating activities will be ` 2,30,000
Cashusedininvestingactivitywillremainsamei.e. ` (2,88,000)
Cashfromfinancingactivitywillbe` 93,000
(II) If current investment is treated as current asset by an examinee:
Increaseincurrentinvestment`90,000willbedeductedfromoperating
profit before working capital changes. Opening and closing balance
of cash & cash equivalentswill be ` 3,75,000 and ` 3,20,000
respectively.
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PART C
(ComputerizedAccounting)
18. A sequential. .................................... names.
Ans. (a) Numbers and letters are assigned in consecutive order. 1 Mark
19. DBMS stands for ........................... software.
Ans. (c) Data Base Management System 1 Mark
20. Explain ................................... bill.
Ans. Asalarybillshould
Payroll related data such as employee No, Name,Allendance; Basic pay,
applicable Dearness and other allowance, deductions to be made.
Periodicpayrollcomputations.Theseincludecalculationofvariousearnings
and deduction heads, which are to be derived from basic values as per the
formulae.
Preparationofsalarystatementemployeesalaryslips. 1 x 4 =
Generation of advice to bank which contains salary to be transformed Marks
toindividualbankaccountofemployee.
21. Why is it ......................................... safety.
Ans. Tohaveanedgeovercompetitorsandavailfirstmoveradvantageitisnecessaryo
maintainsecrecyandconfidentiality.Thetoolswhichhelptomaintainsecrecyare:
(Anytwo)
1. Password security: Password is widely accepted security control to access
thedata.Onlytheauthorizedpersoncanaccessthedata.Anyuserwhodoes
notknowthepasswordcannotretrieveinformationfromthesystem.Itensures
data integrity. It uses a binary encoding format of storage and offers access
to the data base.
2. Data Audit: Audit feature of accounting software provides the user with
administrator right in order to keep track of unauthorized access to the data
base. It audit for the correctness of entries. Once entries are audited with
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adulterations, if any the software displays all entries along with
the name of the auditor user and date and time of alteration.
3. Data vault: Software provides additional security for the imputed data
and this feature is referred as data' vault. Data vault ensures that original 2 x 2
informationispresentedandisnottempered.Datavaultpasswordcannotbe = Marks
broken Some software uses data encryption method.
22. Name ................................. interest.
Ans. (Any four)
Tailoredsoftware
Suitable for large organizations which have multiuse's and geographically
scatteredlocations.
RequireSpecialtiestrainingtouse. 4 Marks
TheyformanimportantpartofMISoftheorganization.
The secrecy and authenticity checks are robust.
Offerhighflexibilityintermsofno.ofusers.
23. Name and explain ................................ interest.
Ans. ThenameoffinancialFunctionsis ACCRINT.
This function returns the accrued interest for a security that pays periodic interest.
Thesyntaxofthisisasfollows:
ACCRINT(issue,first_interest,settlement,rate,par,frequency,basis,calc_method)
DatesshouldbeenteredbyusingtheDATEfunctionorasresultsofotherformulas
orfunctions.
Issue is the security's issue date.
First_interest isthesecurity'sfirstinterestdate.
Settlement isthesecurity'ssettlementdate.Thesecuritysettlementdateisthe
dateaftertheissuedatewhenthesecurityistradedtothebuyer.
Rate isthe security's annual coupon rate.
Par is the security's par value. By default par is 1000 = 6 Marks
Frequency is the number of coupon payments per year.
Basis is the type of day count basis to use.
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QUESTION PAPER CODE 67/1
EXPECTEDANSWERS/VALUE POINTS
PARTA
1. In the absence of ........................ allowed.
Ans. (ii) @ 6 % per annum. 1 Mark
2. Geeta, Sun ita and Anita .......................... of your answer.
Ans. No, the accountant didn't give correct treatment as capital account of the partners
are to be debited. 1 Mark
3. On the death ....................... Account.
Ans. (iii) Debit of Profit and Loss SuspenseAccount. 1 Mark
4. Anant, Gulab and Khushbu .................... Khushbu.
Ans.
Journal 1 Mark
Date Particulars LF Dr (`) Cr (`)
2014 Gulab'sCapital Dr. 8,000
April1 Khushbu's CapitalA/c Dr. 32,000
ToAnant's CapitalA/c 40,000
(Beingtreatmentofgoodwillin
changeinprofitsharingratio
recorded i.e 1:4)
5. Give the ....................................... forfeiture of share.
Ans. Forfeitureofsharesmeanscancellationofsharesallotedandtreatingactuallyreceived
amountasforfeited.
[or any other suitable meaning) 1 Mark
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6. Nirman Ltd. Issued ............................. final call was.
Ans. (iii) ` 2,21,000 1 Mark
7. Guru Ltd ............................... allotment of shares.
Ans. Alternatives available to the Board of directors are :-
Excess applications may be rejected and shares may be allotted to the
remainingapplicantsasfull. 1 Mark
Shares may be allotted to all the applicants on pro rata basis.
each
Some of the applications may be rejected & shares may be allotted to the
remainingapplicantsonproratabasis. = 3 Marks
8. On 1-4-2013 Brij and Nandan ............................... year ended 31-3-2014.
Ans. In the books of Brij and Nandan
Profit & lossAppropriationAlc
Dr. For the year ended 31st March 2014 Cr.
Particulars Amount (`````) Particulars Amount (`````)
To Interest on Capital: By Profit and loss A/c 2,00,000
Brij's Capital A/c 80,000 =
Nandan's CapitalA/c 1,20,000 2,00,000 3 Marks
2,00,000 2,00,000
Working Notes:
Interest on capital of Brij = ` 1,20,000
Inter. on capital of Nandan = ` 1,80,000
Proportionateprofit = 1,20,000/3,00,000 x 2,00,000 = ` 80,000
= 1,80,000/3,00,000 x 2,00,000 = ` 1,20,000
Note: If an examinee has not given the working notes but prepared the
correct profit and loss appropriation account full credit to be given
⎪
⎭
⎪
⎬
⎫
1
1
⎪
⎭
⎪
⎬
⎫
1
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9. Suvidha Ltd. ............................... toAccounts.
Ans. Balance Sheet of Suvidha Ltd.
As at ............................. (As per revised schedule VI)
Particulars Note No. Amount Amount
` `
Current year Previous year
EQUITY&LIABILITIES
I Shareholder's funds :
a) Share Capital 1 1,00,00,000 1
Notes to Accounts:
Particulars `
(1) Share Capital
Authorised Captial :
10,00,000 equity shares of ` 100 each 10,00,00,000 1
Issued Capital
½1,00,000 equity shares of ` 100 each 100,00,000
Subscribed and fully paid ½
1,00,000 shares of ` 100 each 100,00,000 =
3 Marks
10. Good Blankets Ltd ................................. to the society.
Ans. a) Books of Good Blankets Ltd.
Journal
Date Particulars L.f. Dr. Cr.
Amt (`) Amt (`)
i. MachineryA/c Dr. 7,00,000 7,00,000
To VendorsA/c 1
(Beingpurchaseofmachineryfrom
vendors)
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ii. VendorsA/c Dr. 7,00,000
To Equity Share CapitalA/c 5,00,000
To 8% DebenturesA/c 2,00,000 1
(Beingissueofequitysharesand
debentures at par to vendors)
OR
VendorsA/c Dr. 5,00,000
To Equity Share CapitalA/c 5,00,000
(Beingissueofequityshares)
VendorsA/c Dr. 2,00,000
To 9% DebenturesA/c 2,00,000
(Being issue debentures at par)
b) Values which the company wants to communicate to the society:
(Any one)
Socialresponsibility
Generationofemploymentopportunitiesinruralareas 1 =
(OR any other suitable value.) 3 Marks
11. Arun, Varun and Karan ......................... transferred to his Capital account.
Ans.
Dr. Karan's CapitalA/c Cr.
Particulars Amount (`) Particulars Amount (`)
To Balance b/d 13,000 ByArun'sCapitalA/c 90,000
To Karan's ExecutorA/c 2,00,430
By Varun's CapitalA/c 67,500
By P/LSuspenseA/c 26,250
By Karan's loanA/c 28,000
Byinterestonloan 1,680 4 Marks
2,13,430 2,13,430
½
½
½
½
½
½
1
½
½
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Workingnotes:
i. Calculation of Interest on loan: 28,000 x 12/100 x 6/12 = ` 1,680
ii. CalculationofShareofProfit=
1,75,000 x 3/10 x 6/12 . = ` 26,250
iii. Share in Goodwill = 3 x 7,00,000/4 x 3/10 = ` 1,57,500
Arun's share = ` 90,000
Va run's share = ` 67,500
12. Prem, Param and Priya .......................... and Priya.
Ans.
Journal
Date Particulars L.f. Dr. Cr.
Amt (`) Amt (`)
Prem's CurrentA/c Dr. 1,55,000
Priya's CurrentA/c Dr. 1,55,000
To Prem's CurrentA/c 3,10,000
(Changeinprofitsharingratio
incorporatedretrospectively)
Working notes
Table showing adjustments
Particulars Prem (`) Param (`) Priya (`) Total (`)
Profits already distributed (Dr.) 3,10,000 4,65,000 7,75,000 15,50,000
Profits to be distributed (Cr.) 6,20,000 3,10,000 6,20,000 15,50,000
Net effect 3,10,000(Cr) 1,55,000 (Dr) 1,55,000 (Dr) -----
Note. Working notes in any form to be given full credit = 4 Marks
2
1
1
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13. On 1-1-2008, Uday ........................... Govind's death.
Ans. 1. Calculation of Sacrificing ratio
Sacrificing Ratio of Uday 5/10 - 3/10 = 2/10
Sacrificing Ratio of Kaushal 5/10 - 2/10 = 3/10 2
Sacrificing Ratio = 2:3
New profit sharing ratio of uday Kaushal Govind and Hari :
Uday's new share 3/10 -1/30 = 9/30-1/30 = 8/30
Kaushal's new share 2/10 -1/30 = 6/30-1/30 = 5/30 2
Govind's new share 5/10 -1/30 = 15/30 -1/30 = 14/30
Hari's new share 1/30 + 1/30 + 1/30 = 3/30
New ratio = 8:5:14:3
New profit sharing ratio on Gobind's death = Uday 8/30 +7/30 = 15/30
Kaushal new share = 5/30
Hari new profit sharing ratio= 3/30 +7/30 =10/30 2
New ratio = 15:5:10 or 3:1:2
New Profit sharing ratio of Uday, Kaushal, Govind and
Hari on Hari's admission is 8:5:14:3
New Profit sharing ratio of Uday, Kaushal and =
Hari on Govind's death is 3:1:2. 6 Marks
14. Ananya Ltd ............................... redeemed.
Ans.
Dr. 9% Debentures A/c Cr.
Date Particulars LF Amount Date Particulars LF Amount
(`) (`)
2009 To Balance c/d 1,00,00,000 2008 By Debentures 95,00,000
Mar31 Aprl app & all A/c
By Discount on 5,00,000
issse of
1,00,00,000 debentures A/c 1,00,00,000
½
½
½
½
½
½
½
1
1
1
½
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2010 To Balance c/d 1,00,00,000 2009 By Balance b/d 1,00,00,000
Mar 31 1,00,00,000 Apr 1 1,00,00,000
2011 To Debenture 10,00,000 2010 By Balance b/d 1,00,00,000
Mar31 holders A/c Apr1
Mar31 To Balance c/d 90,00,000
1,00,00,000 1,00,00,000
2012 To Debenture 20,00,000 2011 By Balance b/d 90,00,000
Mar 31 Holder A/c Apr l
Mar 31 To Balance c/d 70,00,000
90,00,000 90,00,000
2013 To Debenture 30,00,000 2012 By Balance b/d 70,00,000
Mar 31 Holder A/c Apr 1
Mar 31 To Balance c/d 40,00,000 = 6
70,00,000 70,00,000 Marks
2014 To Debenture 40,00,000 2013 By Balance B/d 40,00,000
Mar 31 holders A/c April 1
40,00,000 40,00,000
15. Mala, Neela and Kala .................................... amounts.
Ans. Realisation A/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
ToSundryAssets: By Provision for bad debts 1,000
Machinery 10,000 By Sundry Creditors 15,000
Stock 21,000 By Sheela's Loan 13,000
Debtors 20,000 ByRepairsandRenewals 1,200
PrepaidInsurance 400 reserve 1
Investments 3,000 54,400 By cash -Assets sold:
Machinery 8,000
1
1
1
1
1
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To Mala's capitalA/c 13,000 Stock 14,000
--Sheela's Loan Debtors 16,000 38,000
To Cash- creditors paid 15,000 By Mala's Capital- 2000
Investments
To Cash- dishonoured bill 5,000 By LossTransferred to
paid
To Cash- Expenses 800 Partners' CapitalA/c:
Mala 9,000
Neela 6,000
Kala 3,000 18,000
88,200 88,200
Partner's CapitalA/c
Particulars Mala Neela Kala Particulars Mala Neela Kala
(`) (`) (`) (`) (`) (`)
To Realisation 9,000 6,000 3,000 By Balance b/d 10,000 15,000 2,000
A/c
To Realisation 2,000 ------ ------ By Realisation 13,000 ------ ------
4
A/c A/c
To Cash A/c 12,000 9,000 ------ By Cash A/c ------ ------ 1,000
23,000 15,000 3,000 23,000 15,000 3,000
Dr. Karan's CapitalA/c Cr.
Particulars Amount (`) Particulars Amount (`)
To balance b/d 2,800 ByRealisationA/c- 15,000
To realisationA/c - Sale of 38,000 Creditors paid
Assets ByDishonouredbill 5,000
To Kala's CapitalA/c 1,000 ByRealisationA/c 800
(Expenses)
By Mala's capitalA/c 12,000 1
By Neela's CapitalA/c 9,000 =
41,800 41,800 6 marks
1
1
1
1
1
1
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16. BMY Ltd .................................. in the books of BMY Ltd.
Ans. Books of BMY Ltd.
Journal
Date Particulars LF Dr.Amt Cr. Amt
(`) (`)
i. BankA/c Dr. 10,03,000 1
ToEquityShareApplicationA/c 10,03,000
(Beingapplicationmoneyreceived
withpremiumfrom10,000applicants)
ii. EquityShareApplicationA/c Dr. 10,03,000
To Equity Share CapitalA/c 5,00,000
ToEquityshareAllotmentA/c 3,000
TosecuritiespremiumA/c 5,00,000 1½
(Beingapplicationmoneytransferred
to share capital)
iii. EquityShareAllotmentA/c Dr. 10,00,000
To Equity share CapitalA/c 5,00,000
TosecuritiespremiumA/c 5,00,000
(Beingallotmentmoneyduewithpremium) 1
iv. BankA/c Dr. 9,95,000
ToEquityshareAllotmentA/c 9,95,000
(Beingallotmentmoneyreceived)
OR
BankA/c Dr. 9,95,000 1½
Calls in arrearsA/c Dr. 2,000
ToEquityShareAllotmentA/c 9,97,000
(Beingallotmentmoneyreceived
except on 200 shares and the advance
adjusted)
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v. EquitySharecapitalA/c Dr. 2,000
Securitiespremium/Securitiespremium 1,000
reserveA/c Dr.
To Share forfeitedA/c 1,000 1
ToEquityshareAllotmentA/c/Callsin 2,000
arrearsA/c
(Being200sharesforfeited)
vi. BankA/c Dr. 4,000
To Equity Share CapitalA/c 2,000
ToSecuritiesPremium/Securities 2,000 1
premiumreserveA/c
(Being 200 shares reissued for
` 20 per share fully paid up)
vii. ShareforfeitureA/c Dr. 1,000
To capital reserveA/c 1,000
(Beingforfeiturebalancetransferred 1 =
to capital reserve) 8 Marks
16. Blue Star Ltd. ..................................... Blue Star Ltd.
Ans. Books of Blue Star Ltd.
Journal
Date Particulars LF Dr.Amt Cr. Amt
(`) (`)
(i) BuildingA/c Dr. 60,000
ToVendorA/c 60,000 1
(Beingbuildingpurchasedfromvendor)
(ii) VendorA/c Dr. 60,000
To Equity Share CapitalA/c 60,000 1
(Being shares issued to vendors)
(iii) BankA/c Dr. 16,000
ToEquityShareApplicationA/c 16,000
(Beingapplicationmoneyreceived ½
from 8,000 applicants)
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(iv) EquityShareApplicationA/c Dr. 16,000
To Equity Share CapitalA/c 16,000 ½
(Beingapplicationmoneytransferred
to share capital)
(v) EquityShareAllotmentA/c Dr. 8,000
To Equity share CapitalA/c 8,000 1
(Beingallotmentmoneydue@Re.1per
share)
(vi) BankA/c Dr. 7,250
ToEquityshareAllotmentA/c 7,250
(Beingallotmentmoneyreceived) 1
OR
BankA/c Dr. 7,250
Calls in arrearA/c Dr. 750
ToEquityshareallotmentA/c 8,000
(Beingallotmentmoneyreceivedwiththe
exception of 750shares)
(vii) EquityShareFirstCallA/c Dr. 16,000
ToEquityshareCapitalale 16,000 1
(BeingFirstcallmoneydue)
(viii) BankA/c Dr. 12,000
To EquityshareFirstcallA/c 12,000
(BeingFirstcallmoneyreceived)
OR
BankA/c Dr. 12,000 1
Calls in arrearsA/c Dr. 4,000
ToEquitysharefirstandfinalcallA/c 16,000
(beingfirstandfinalcallmoneyreceived
except on 2000 shares)
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(ix) EquityShareCapitalA/c Dr. 3,750
To share forfeitedA/c 1,500
ToEquityshareAllotmentA/c 750
To share First callA/c 1,500
(Being 750 shares were forfeited) 1.
OR
Share CapitalA/c Dr. 3,750
ToEquityshareforfeitureA/c 1,500 = 8
To calls in arrearsA/c 2,250 Marks
(Being750sharesforfeited)
17. Om, Ram and Shanti .................................. CapitatAccounts.
Ans. RevaluationA/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
ToliabilitiesforB/R 18,000 Bylandandbuilding 36,400
discounted By Loss transferred to : 2½
To stock 22,200 Om 25,200
ToFurniture 46,600 Ram 16,800
Shanti 8,400 50,400
86,800 86,800
Partner's CapitalA/c
Particulars Om Ram Shanti Particulars Om Ram Shanti
(`) (`) (`) (`) (`) (`)
To Revaluation 25,200 16,800 8,400 By Balance b/d 3,58,000 3,00,000 2,62,000
A/c By General 24,000 16,000 8,000
Reserve A/c
To Current 9,200 1,16,600 By premium 15,000 10,000 5,000
5
A/cs A/c
By Current A/c 78,200
To Balance c/d 4,50,000 3,00,000 1,50,000
4,75,200 3,26,000 2,75,000 4,75,200 3,26,000 2,75,000
½
½
½
½
½
½
½
1
1
1
1
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Hanuman's CapitalA/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
To Balance c/d 1,00,000 By BankA/c 1,00,000
1,00,000 1,00,000
Working Notes:
Hanuman's capital = 1,00,000
Hanuman's share = 1/10
Capital of the firm = 1,00,000 x 10 = 10,00,000
less:Hanuman'scapital= 1.00.000 2½ + 5
9,00,000 ½ =
Om's capital = 9,00,000 x 3/6 = 4,50,000 8 Marks
Ram's capital = 9,00,000 x 2/6 = 3,00,000
Shanti's capital = 9,00,000 x 1/6 = 1,50,000
Hanuman's capital = 1,00,000
17. Xavier, Yusuf ..................................... accounts.
Ans. RevaluationA/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
To loss transferred to: BylandandbuildingA/c 15,000
Xavier 11,400 By provision for Bad debts 1,050
Yusuf 8,550 A/c
Zaman 5,700 25,650 By stockA/c 9,600 2
25,650 25,650
½
½
½
½
½
½
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Partner's CapitalA/c
Particulars Xavier Yusuf Zaman Particulars Xavier Yusuf Zaman
(`) (`) (`) (`) (`) (`)
To Yusufs 12,000 ------- 6,000 By Balance b/d 1,20,000 90,000 60,000
capital A/c By Revaluation 11,400 8,550 5,700
A/c
By Xavier's ------- 12,000 ------- 6
Capital
To Yusufs ------- 1,16,550 ------- A/c
Loan A/c Zaman's Capital ------- 6,000 -------
To balance 1,19,400 ------- 59,700 A/c
c/d
1,31,400 1,16,550 65,700 1,31,400 1,16,550 65,700 = 8
To Balance 1,19,400 ------- 59,700 By Balance b/d 1,19,400 ------- 59,700
Marks
c/d
WorkingNotes:
1. Gaining Ratio = New share - old share
Xavier = 2/3 - 4/9 = 2/9
Zaman = 1/3 - 2/9 = 1/9
Gainingratio=2:1
Yusuf's share of Goodwill = 54,000 x 3/9 = 18,000
Xavier's capital A/c = 18,000 x 2/3 = 12,000
Zaman's CapitalA/c = 18,000 x 1/3 = 6,000
2. Xavier's Capital = 1,19,400
Zaman's capital =59.700
Total capital = 1,19,400 + 59,700 = 1,79,100
Xavier's share = 1,79,000 x 2/3 = 1.19,400
Zaman's share = 1,79,000 x 1/3 = 59,700
Note: No marks for working notes.
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PART B
(Financial StatementsAnalysis)
18. Which .................................... bank.
Ans. (iii) Received Rs. 19,000 from debtors. 1 Mark
19. The accountant ............................... reason.
Ans. Yes, he is correct because depreciation is a non cash expense/item. 1 Mark
20. Under which ................................ three years.
Ans.
S.No. Items Headings Sub headings
1. Net loss as shown by Shareholder'sfunds ReserveandSurplus
statementofProfitand asnegativeitern
loss
2. CapitalRedemption Shareholder'sfunds ReserveandSurplus
Reserve
3. Bonds Noncurrentliabilities Longtermborrowings ½ x 8 =
4. Loans payable on Currentliabilities Shorttermborrowings 4 Marks
demand
5. Unpaiddividend Currentliabilities Othercurrent
liabilities
6. Buildings Non current assets fixedassets-tangible
7. Trademarks Non current assets Fixedassets-intangible
8. Rawmaterial Current assets Inventory
½
½
½
½
½
½
½
½
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21. The current ................................ creditors.
Ans. Reason
i) Increase if redemption of debentures takes place in the current
/Decrease yearwhereoutstandingdebenturesconsideredascurrent
liabilityinsuchcaseratiowillincrease.
Alternatively, Redemption of Debenture will decrease
cashbutcurrentliabilitieswillremainthesame.
ii) No change Itwillincreasecashanddecreasedebtorswiththesame
amount. No change in current assets and current
liabilities.
iii) No change Bothcurrentassetsandcurrentliabilitiesarenotaffected,
iv) No change No change in current assets and current liabilities.
Because increase in one current liability results in
decrease in another current liability with the same 1 x 4 =
amount. 4 Marks
22. The motto .................................... to propagate.
Ans. a) Net Profit Ratio = Net Profit / Revenue from operations x100
As on 31-03-2013 = Net Profit / Revenue from operations x 100 2
= 6,00,000/20,00,000 x 100
= 30%
As on 31-03-2014 = Net Profit / Revenue from operations x 100
= 12,00,000/30,00,000 x 100
= 40%
1 mark for formula and half a mark for calculation of profit of each year.
b) Values: (Any two)
ParticipationofEmployeesinexcessprofits.
Treating employees a part of the company.
Ethicalpracticesofcompany
Hardwork and honesty of employees. 2 =
Servingtheorganisationwithdignity. 4 Marks
(Or any other suitable value)
1
½
½
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23. Following .................................. statement.
Ans. Cash flow statement of Solar Power Ltd.
For the year ended 31st March 2014 as perAS-3 (Revised)
Particulars Details(`) Amount(`)
A. Cash Flows from OperatingActivities:
Net Profit before tax & extraordinary items 2,00,000
Add: Non cash and non-operating charges
Goodwillwrittenoff 1,44,000
Depreciationonmachinery 1,32,000
Lossonsaleofmachinery 4,000
Operating;profitbeforeworkingcapitalchanges 4,80,000
Less: Increase in CurrentAssets
Increase in trade receivables (54,000)
Increaseininventories (16,000)
Less:Decrease in Current liabilities (70,000)
Decrease in trade payables (50,000)
Decreaseinshorttermprovisions (54,000)
(1,74,000)
CashgeneratedfromOperatingActivities 3,06,000 3
B. Cash flows from InvestingActivities:
Purchaseofmachinery (5,88,000)
Saleofmachinery 12,000 (5,76,000) 1
Cashusedininvestingactivities
C. Cash flows from FinancingActivities:
Issue of share capital 2,00,000
Moneyraisedfromborrowings 1,40,000 3,40,000 1
Cashfromfinancingactivities
Net increase in cash & cash equivalents (A+B+C) 70,000
Add:Openingbalanceofcash&cashequivalents:
CurrentInvestments 3,00,000
Cash&cashequivalents 7,50,000 10,50,000
ClosingBalanceofcash&cashequivalents:
CurrentInvestments 4,80,000
Cash&cashequivalents 6,40,000 11.20.000
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Working Notes:
MachineryA/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
To Balance b/d 20,00,000
By BankA/c 12,000
ByAccumulated 32,000
Depreciation
ByLossonsaleofmachinery 4,000
To Bank 5,88,000 By Balance c/d 25,40,000
25,88,000 25,88,000
Accumulated Depreclation A/c
Dr. Cr.
Particulars Amt (`) Particulars Amt (`)
ToMachineryDisposal 32,000 By Balance b/d 3,00,000
To Balance c/d 4,00,000 ByDepreciatione/c 1,32,000
4,32,000 4,32,000
Notes:
Ifshorttermprovisionistreatedasprovisionfortaxorprovisionfordoubtful
debts, full credit is to be given.
If short term provision is treated as proposed dividend then cash flow from
operatingactivitywillbe` 4,60,000andfinancingactivitywillbe`1,86,000.
Iftheexamineehaspresentedtheworkingnoteswithassetdisposalaccount
fullcredittobegiven.
If the examinee has treated current investments as current assets then the
cash flow from operating actvitities will be ` 1,26,000 and increase or = 6 Marks
decrease in cash and cash equvalents will be `1,10,000
½
½
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PART B
(ComputerizedAccounting)
18. SJ for sales accounting codes.
Ans. (ii) MnemonicCodes 1 Mark
19. The common ............................. .fields.
Ans. (i) Keyfields 1 Mark
20. State the ......................... payroll period.
Ans. Elementsconsideredwhilecalculating'deductions'forcurrentpayrollperiodare:
1. PTprofessionaltaxapplicableinstate.
2. TDS- Tax deduction at source which is a statutory deduction and deducted
towardsmonthlyincometaxliability.
3. Recoveryofloaninstatementiftakenupbyemployee. 4 Marks
Any other deduction e.g 'advance against salary or festival advance etc.
21. What is meant ................................ advantages.
Ans. DBMS is a collection of programs that help a business to create and maintain a
database. It is a general purpose software system that facilitates the process of
defining,constructingandmanipulatingdatabaseforvariousapplicationsAdvantages
ofDBMS(AnyTwo)withexplanation: 2
1. Reduce Data redundancy.
2. Informationprotection
3. Datadictionarymanagement.
4. Greaterconsistency 2 =
5. Reduced cost 4 Marks
6. Backupandrecoveryfacility.
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22. Explain ...................................... graph/charts.
Ans. Following are the advantages of using Graph / Charts: (Anv two)
1. Help to explore.
2. Help to present. 2 + 2
3. Helptoconvince.Suitableexplanation. = 4 Marks
13 State the steps ............................ format.
Ans. (i) setect the rangeA1 :A10 for eg
(ii) OntheHometab,clickconditionalformattingclearrulesfiromselectedcells.
(iii) Selectaformattingstyle
(iv) Click ok.
OR
Formatting of spreadsheet makes easier to read aoo understand important
information.
1. Currency:excelisequi:ppedtoincorporatevariouscurrencysigmainpictorial
formfordollarituses$similarlyforothercurrenciesalso.Iftheuserinstructs
the use of the format it will assign a currency format along with entry.
(Example).
2. Percentage:Ifweenteravaluerepresentingapercentageasawholenumber
followedbythepercentagesignwithoutanydecimalplaces,Excelassignsto
the cell the percentage format that follows the pattern along with the entry.
(Example).
3. Date: If we enter a date {dares are values, too) that follows one of the built
in excel formats, such as 16-04-2014 or 16Apr-2014 the program assigns
a date format that follows the pattern of the date (Example). = 6 Marks
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425
ENTREPRENEURSHIP
Time allowed : 3 hours Maximum Marks : 70
General Instructions:
(i) All the questions are compulsory.
(ii) Please check that this Question Paper contains 24 Questions.
(iii) Marks for each question are indicated against it.
(iv) Questions 1 to 5 are Very Short Answer type carrying 1 mark each.
(v) Questions 6 to 10 are Short Answer-I Type questions carrying 2 marks each.
(vi) Questions 11 to 17 are Long Answer-I Type question carrying 3 marks each.
(vii) Questions 18 to 21 are Long Answer-II Type questions carrying 4 marks each.
(viii) Questions 22 to 24 are Essay Answer Type questions carrying 6 marks each.
(ix) Answer should be brief and to the point.
(x) Please write down the serial number of the Question before attempting it.
QUESTION PAPER CODE 98/1
1. Distinguishbetween'SalesTax'and'ExciseDuty'. 1
2. Whatismeantby'Employment'? 1
3. Givethemeaningof'LegalEnvironment.' 1
4. 'Itistheprocessofentrepreneurshipwhichinvolvesthetranslationofausefulidea
intoanapplicationwhichhascommercialvalue.'Identifytheprocess. 1
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426
5. RahulwantstostartanamusementparknearVishakhapattanam.Thiswillrequire
aninvestment of ` 50 lakhs. Name the financial institution which Rahul should
approachforfinancingthisventure. 1
6. State any two points of importance of 'Goal Setting'. 2
7. Givethemeaningof'Routing'and'Scheduling'aselementsofoperationalplan. 2
8. Gaurav started a factory for manufacturing bags for the students of nursery and
primary classes. He invested ` 2,00,000 of his own and obtained a loan of
`10,00,000 from bank. He made the instruction plan describing the details that
were needed for the operation of machines by the workers.
Identify and explain the format of 'business plan' described in the above para. 2
9. With its help the consumers are able to identify the products of a firm and are also
able to differentiate them from those of the competitors. Identify the concept and
state its components. 2
10. Name and define the form of business organization in which the liability ofits
membersislimited.Stateonemorefeatureofthisformofbusinessorganization. 2
11. Whatismeantby"ProblemIdentification"?Stateitsanyfourusesandalso give an
example. 3
12. After passing his 12th class with entrepreneurship as an elective subject 'Guru'
startedhisownbusiness.Heinvested`2,00,000ascapitalwhichwasgiventohim
by his father. He obtained a loan of ` 1,00,000 from his elder brother Ravi, who
wasworkingasanassistantmanagerinBankofBaroda.Inthefirstyearheincurred
a loss of ` 50,000 and had to pay to his suppliers their outstanding bills. This
created a financial problem for him and he had to take a loan of ` 1,00,000 from
theBankofBarodaonthepersonalguaranteeofhisbrother,Hestarteddoinghard
work, lowered the prices and informed his customers about the qualities of goods
sold by him. Because of this the sales increased four times and he earned a net
profit of ` 75,000 in the second year.
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427
(a) Identifytheformofbusinessorganizationstartedby"Guru".
(b) Stateanyfivefeaturesofsuchaformofbusinessorganisation. 3
13 State the advantages of 'Good Negotiations'. 3
14. 'For the smooth and orderly functioning of corporate sector in a free market
economy, stock exchanges are indispensable because of different roles played by
themfordifferentgroups.'Explaintheimportanceofstockexchangetoinvestorsin
thelightofthisstatement. 3
15. 'The Fancy Store' a readymade garments retail shop sold 8,000 shirts at ` 400 per
shirtduringtheyearended31stMarch,2014.Costofplacinganorderandreceiving
goods is ` 2,000 per order. Inventory holding cost is ` 500 per year. Calculate the
'Economic Order Quantity' for 'The Fancy Store'. 3
16. NaveenaftercompletinghisM.TechinNanoTechnologywantedtostarthisown
business.Hethoughttomanufacturesophisticatedinstrumentsusedinsurgery.He
knewthathisknowledgeofNanoTechnologywillhelphiminmanufacturingthese
instruments.According to him such instruments will help the surgeons to operate
uponthepatientswithaccuracy,withminimumbloodlossandquickpostoperation
recovery.Suchtypesofinstrumentsareusedinadvancedcountriesonlyandthere
was a risk in marketing the same. The cost price of machinery required for
manufacturingsuchinstrumentswasveryhighandmoreresearchwasrequiredin
thisfieldofNanoTechnology.Forseedfunding,Naveenapproached'HimaniCapital
Ltd.',whofinancesuchtypesofprojects.'HimaniCapitalsLtd.'afteranalysingthe
proposal agreed to provide seed capital to Naveen.
Explainthedifferentstagesof'Earlystagefinancing'toseekventurecapitalfinance
after the one discussed above. 3
17. 'Pure Neer India Ltd.' is the manufacturers of water purifiers. The company has
developedanewwaterpurifierthatnotonlyconvertsthehardwaterintosoftwater
but also kills the bacteria and other harmful micro organisms present in it. The
company has named this water purifier as 'Nirmal Neer' and for its marketing,
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428
appointed,salesmenthroughoutthecountry.Thecompanyalsotrainedthesalesmen
to provide information about the usefulness of the 'Nirmal Neer' water purifiers to
the customers and motivate them to buy the same.
(a) Name and explain the 'type of promotion strategy' adopted by the company.
(b) Alsoidentifythechannelofdistributionusedbythecompany. 4
18. 'Information for environmental scanning can be collected from several sources.'
State any four such sources. 4
19. After doing her M.Com. from 'Himachal Pradesh University of Shimla', Komal
went back to her village in Kinnaur district of Himachal Pradesh. She wanted to
contribute for the development of women of her village, so she formed an
organization, the membership of which was open for all the women villagers on
voluntary basis by paying ` 500 only which will be treated as their capital. Komal
knewthatthelandofhervillagewassuitableforthefarmingofmedicinalplants.So
she motivated the members of her organizations for growing medicinal plants in
theirfieldsundertheguidanceandhelpofthelocalagriculturaldepartment.Itwas
also decided that the organization will purchase the produce of each member and
sellthesametodrugmanufacturingcompanies,ataverygoodpricewhichwasnot
possibleforthemembersindividually.Themainobjectiveoftheorganisationisto
render services to its members rather than to earn profit.
Acomputertrainingcentreforyoungboysandgirlsofthevillagewasstartedunder
theguidanceofKomalfromthesurplusoftheprofits.
(a) Name the process that helped Komal in developing an idea into an
opportunity.
(b) IdentifythekindoforganizationthatwasformedbyKomal.
(c) State any two values which Komal wanted to communicate to the society. 4
20. 'Nomy India Ltd.' are the producers of different sizes of televisions. From the
information given below, calculate the 'Break-Even Quantity' of the T.V.sets
manufacturedpermonth. 4
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429
Informations:
Size of T.V. sets Unitsellingprice Unitvariablecost Fixed expenses per month
` ` `
24" 5,000 2,000 4,000
32" 10,000 7,000 6,000
36" 15,000 12,000 8,000
42" 20,000 14,000 9,000
21. 'Jagriti Ltd' are the manufacturers of Cars for the last 15 years and was earning
good profits. Recently, due to the irregular supply of parts by the suppliers the
company could not make timely delivery of cars to its customers. The customers
cancelled their bookings and there were very few new bookings.As a result the
sale of the cars declined and also the profits. The management of the company
analysed the problems and decided to take over those two firms because of whom
the problems arose. One of them was supplying engines and the other tyres. The
companyalsolaunchednewdiscountschemesforitscustomers.Italsodecidedto
employ 200 unemployed young boys and girls to take up the cleaning operations
usingimportedmachinesinsidethefactoriesaswellasthesurroundingareas.
(a) Identifyandstatetheconceptof'EnterpriseMarketingandGrowthStrategies'
discussed in the above para.
(b) Ideritifyanyonevaluewhich'JagritiLtd'wantedtocommunicatetothesociety. 4
22. 'Theprocessofgenerationofideas'canbestreamlinedbydevelopinganawareness
about it and these work as the convenient frames of references for this.
(a) Identify the concept stated in the above lines.
(b) Explain any three sources of the concept identified which are used by an
Entrepreneur. 6
23. Raj Singh has started a restaurant on a National Highway in the name of 'Desi
Dhaba' by spending ` 25,00,000. He invested ` 10,00,000 of his own and took a
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430
loanof`15,00,000fromDenaBank,@6%perannum.Hismonthlysalesrevenue
is ` 17,00,000 and cost of goods sold is ` 9,00,000. He pays monthly salary of
` 3,00,000 to his employees. The tax rate is 25%.
You are required to calculate :
(a) ReturnonInvestmentand
(b) ReturnonEquityforRajSingh. 6
24. RaghavafterdoinghisB.Pharma.degreefromareputedgovernmentcollegestarted
twochemistshopsintwodifferentlocalitiesofhishometown.Encouragedwiththe
successoftheseshops,hestartedsixmoreshopsindifferentcitiesoftheState.His
strategy was to cut price, focus on lower and middle class patients and open shops
near hospitals. He operated on very thin margins. But he was not able to maintain
sufficient funds to meet the day to day expenses of the business. The staff of the
shopsdidnotgivemuchattentiontothecustomersandtherewasverypoorsystem
ofcontrol.Becauseofthismismanagementhestartedincurringhugelossesandhis
businessfailed.
Based on the aboveparaidentifyandexplainanyfourcausesof business failure of
Raghav. 6
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431
QUESTION PAPER CODE 98
1. List any two categories of persons that are required to obtain registration from
'CentralExciseDepartment'. 1
2. Distinguishbetweena'JointStockCompany'anda'JointHinduFamilyBusiness'
onthebasisof'liabilityofitsmembers'. 1
3. BalwantSinghofBikanerthoughtofair-conditionedhouseswhichdonotrequire
electricity.Hewantedtoexploretheideaofconstructionofsucheco-friendlyhouses
whichwillremaincoolinsummersandwarminwinters.Heconceivedtheideain
2010butthefinalproductcouldtakeshapein2014.Namethestagein'TheCreative
Process' described in the above lines. 1
4. Givethemeaningof'EcologicalEnvironment'. 1
5. GeetaRam,anorangegrowerfromNagpur,wantstostartasmalljuiceproducing
factoryusingtheorangesgrownbyhimaswellasbyhisfellowvillagers.Namethe
financialinstitutionsheshouldcontactforobtainingloanforstartinghisfactory. 1
6. State any two rules for goal setting. 2
7. Givethe meaningof 'Businesssituationanalysis'and'Identificationofthetargetmarket'
as steps in preparing the marketing plan. 2
8. Rahul wants to start a small shoe manufacturing factory.As a part of his business
plan he prepared an 'entertaining slide show and oral narrative' that was meant to
trigger discussion and create interest in potential investors for reading the written
presentation. Identify and explain the format of the business plan referredinthe
above paragraph. 2
9. In U.K., they are called 'end lines', 'endlines', or 'straplines'. Germans call them as
'claims',Frenchreferthemas'signatures',whileBelgianscallthem'baselines'.Identify
the concept and name its forms, . 2
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432
10. Ashok is engaged in the production of readymade garments using cotton cloth.
IdentifythebusinessactivityinwhichAshokisinvolved.Alsonameanddefinethe
utilitycreatedbyAshok. 2
11. What is meant. by 'Problem Identification' ? State its any two objectives and also
giveanexampleof'ProblemIdentification'. 3
12. Kareem after completing his XII class from his village school joined the course of
electricianinanITIinatownnearhisvillage.Oncompletionofthiscoursehetried
foragovernmentjobbutcouldnotgetthesame.He,therefore,decidedtoworkas
ahelpertoarenownedelectricianofthearea.Afterworkingwithhimfortwoyears
he decided to start his own electrician shop in the village. For this he purchased
equipments of ` 10,000 and hired a shop at a monthly rent of ` 2,000. He himself
managed the shop.
(a) Identify the kind of business organisation set up by Kareem.
(b) Stateanyfourcharacteristicsoftheidentifiedformofbusinessorganisation. 3
13. State the advantages of 'cost plus' method of pricing. 3
14. 'AngelInvestors'and'VentureCapital'arethetwosourcesofraisingfinanceforan
entrepreneur. Explain the concept of both the sources stating one distinguishing
feature of each. 3
15. 'The Shop', a readymade garments retail shop, sold 5,000 shirts at ` 200 per shirt
during the year ended 31st March, 2014. Cost of placing an order and receiving
goods is ` 1,000 per order. Inventory holding cost is ` 250 per year. Calculate the
'Economic Order Quantity' for 'The Shop'. 3
16. Ganga Dhar was working as the production manager in a German company.The
companywasproducingremoteoperatedhigh-endkitchenequipments.Heresigned
from his job and returned to Patna, his hometown. In Patna he metAditya, his old
friend, who had been managing his factory producing steel utensils with old
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433
technology.GangaDharencouragedAdityafortheproductionofhigh-endkitchen
equipments.HealsopromisedtohelpAdityabyprovidingfundsandhisexpertise
so that the production unit run byAditya can develop into a big production house
anditsinvestorsmaygethighreturnoninvestments.Identifythekindof'sourceof
capital' provided by Ganga Dhar toAditya and explain the same. 3
17. 'HealthyJuiceIndiaLtd.'and'AsliJuiceLtd.'areengagedintheproductionoffruit
juice. Both the companies sell the juice in 1,000 ml tetra packs and are in direct
competition.Toavoidcompetition,themanagementofboththecompaniesdecided
to merge and formed a new company 'Asli Healthy Juice India Ltd.'. The new
companydecidedtosellthefruitjuicethroughthecompanyownedoutletsthroughout
thecountry.
(a) Name and explain the 'Enterprise Growth Strategy'.
(b) Alsoidentifythechannelofdistributiondecidedby'AsliHealthyJuiceIndia
Ltd.' 3
18. The first step in the creative process is 'Idea Germination'. State the other steps of
this process. 4
19. LalitaDevididherpost-graduationfromManipurUniversity,Imphal.Shehadoffers
tojoinreputedfirmsinmetropolitancitieslikeDelhiandMumbai.Insteadofjoining
any of these firms she decided to do some creative work in Imphal. She observed
that a special type of chilli is grown by the farmers of most of the villages around
Imphal.Thischillihasadistinctflavourandthepicklemadefromithasatastethat
may be liked by many people in other parts of the country. But the farmers were
neither trained in the farming of this kind of chilli on a large scale nor was there a
securedmarketfortheirproduce.LalitaDevimeteighteenlike-mindedwomenof
theareaandformedanorganizationfordoingthebusinessofpicklemanufacturing.
Eachofthemcontributed`2,00,000towardsitscapitalandwereequallyresponsible
for its management. On one hand they assured the farmers to purchase the chilli
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434
producedbythemandontheotherhand,theorganizationwiththehelpofthelocal
agriculturedepartmentarrangedforthetrainingofthefarmers.Theyalsoemployed
10 local unemployed graduate girls for doing the various operations of pickle
manufacturing.
(a) Name the process that helped Lalita Devi in 'converting an idea into an
opportunity'.
(b) Identify the kind of organization that Lalita Devi had decided to set up.
(c) State any two values which Lalita Devi wants to communicate to the society. 4
20. 'GoodWashLtd.'arethemanufacturers'ofdifferentsizesoffullyautomaticwashing
machinesmarkedas'small','medium','large'and'industrial'.Fromtheinformation
givenbelow,calculatethe'Break-EvenQuantity'ofthemachinesmanufacturedper
month. 4
Information:
Machine UnitSelling UnitVariable FixedExpenditure
Price Cost Per Month
` ` `
Small 10,000 3,000 35,000
Medium 15,000 8,000 35,000
Large 20,000 13,000 70,000
Industrial 35,000 20,000 1,50,000
21. 'Sultan Trucks Ltd.' are the manufacturers of commercial trucks for the last 20
years. The company had been doing good business but recently due to irregular
supply of parts by its suppliers, the company could not make timely delivery of
trucks to the parties who had booked their trucks. The customers cancelled their
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435
bookingsandtherewereveryfewnewbookings.Thesalesofthecompanystarted
declining that resulted into losses. The management of the company analyzed the
problem and decided to take over those two firms because of whom the problem
arose, one of them was supplying tyres for its trucks and another axles to the
company.Thecompanyalsoextendedcreditfacilitiestothecustomersandstarted
bookingthetruckswithoutcharginganybookingamount.Italsodecidedtoemploy
100 unemployed youth, with 50% reservation for females to take up the cleaning
operations,usingtheimportedmachines,insidethefactoriesaswellasthesurrounding
areas.
(a) Identifyandstatetheconceptsof'EnterpriseMarketingandGrowthStrategies'
discussed in the above paragraph.
(b) Identifyanyonevaluewhich'SultanTrucksLtd.'wantstocommunicatetothe
society. 4
22. 'One of the keys to business success is to anticipate what the market will want or
need.' Since it is not possible for an entrepreneur to see into the future, there is one
best way. This 'best way' will help the entrepreneur to understand the market and
produce goods or provide services accordingly.
(a) Identify the concept discussed in the above lines.
(b) Explainanythreeways in which an entrepreneur can perform the activities
related to the concept identified. 6
23. Karan has started a restaurant on National Highway No.1 in the name of 'Apana
Dhaba' by spending ` 20,00,000. He invested ` 8,00,000 of his own and took a
loan of ` 12,00,000 from SBI at the rate of 6% per annum. His monthly sales
revenue is ` 12,00,000 and the cost of goods sold is ` 7,00,000. He pays monthly
salaries of ` 2,00,000 to his employees. The rate of tax is 25%.
You are required to calculate the following for Karan :
(a) ReturnonInvestment
(b) ReturnonEquity 6
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436
24. Satnam,anIIT-IIMgraduate,startedthreechemistsshopsatAmritsar,Patialaand
Chandigarh in the name of 'Quality Medicines'. Encouraged with the success of
theseshopsSatnamopened50moreshopsindifferentpartsofPunjab.Hisstrategy
was to cut price, focus on lower and upper middle class and open shops near
hospitals.Heoperatedonverythinmargins.Buthewasnotabletomaintainsufficient
funds to meet the day-to-day expenses of the business. The staff at the shops did
notgivemuchattentiontothecustomersandtherewasverypoorsystemofcontrol.
Because of this mismanagement he started incurring huge losses and his business
failed.
Based on the above paragraph, identify and explain any four causes of business
failureofSatnam. 6
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Marking Scheme — Entrepreneurship
General Instructions
1. The marking scheme carries only suggested value points for the answers. These are only
guidelines and do not constitute the complete answer.The students can have their own
expression and if the expression is correct, marks will be awarded accordingly.
2. Someofthequestionsmayrelatetohigherorderthinkingability.Thesequestionsaretobe
evaluatedcarefullyandstudent'sunderstanding/analyticalabilitymaybejudged.
3. Evaluation is to be done as per instructions provided in the Marking Scheme.
4. If a question has parts, please award marks in the right hand side for each part. Marks
awardedfordifferentpartsofthequestionshouldthenbetotaledupandwrittenintheleft
handmargin.
5. If a question does not have any part, marks be awarded in the left hand margin.
6. Ifacandidatehasattemptedaquestiontwice,thefirstanswertobemarkedandcorrected.
7. Therearefewquestionsondistinctionbetweentwoconcepts.Marksshouldbegivenonly
ifthedistinctionisclearlygivenandiscorrect.
8. Incaseofchoicetypequestion,ifanexamineeattemptsboththechoices,firstansweronly
should be assessed.
9. In a question, if two features/characteristics/points are asked, marks should be awarded
forthefirsttwopointswritten.
10. ItisexpectedthattheMarkingSchemeshouldbefollowedobjectivelytoavoidoverstrict
tendencyinmarking.
11. Marks should be awarded keeping in view the total marks of that particular question and
not the total marks of the question paper.
12. A full scale of marks 0-70 has to be used. Please do not hesitate to award full marks if the
answerdeservesit.Similarly,whereveranexamineewritesansweruptothemark,his/her
marks should not be deducted unnecessarily.
13. AnswerscriptswritteninEnglishshouldbeevaluatedbytheexaminersteachinginEnglish
andanswerscriptswritteninHindishouldbeevaluatedbytheexaminersteachinginHindi.
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438
QUESTION PAPER CODE 98/1
EXPECTEDANSWERS/VALUE POINTS
Q.1 Distinguish between 'Sales Tax' and 'Excise Duty'. 1
Ans Sales tax is levied on the sale of the commodity which is sold for the first time.
Excise duty is a tax on manufacture/ production or import of goods.
Note: 1 mark for correct difference
Q.2 What is meant by 'Employment' ? 1
Ans Anactivityinwhichanindividualworksregularlyforothersandgetsremuneration
inreturn.
Q.3 Give the meaning of 'Legal Environment.' 1
Ans It covers all such areas such as taxation, employment, law monopoly, legislation
andenvironmentalprotectionlaws.
14. IncompliancetothejudgmentoftheHon'bleSupremeCourtofIndia,Boardhasdecided
to provide photocopy of the answer book(s) to the candidates who will apply for it along
withtherequisitefeefrom2012examination.Therefore,itisallthemoreimportantthatthe
evaluation is done strictly as per the value points given in the marking scheme so that the
Board is in a position to defend the evaluation at any forum.
15. Inthelightoftheabovejudgmentinstructionshavebeenincorporatedintheguidelinesfor
center superintendents to ensure that the answer books of all the appeared candidates
havebeensenttotheBoard'soffice.Theexaminershavetocertifythattheyevaluatedthe
answerbooksstrictlyinaccordancewiththevaluepointsgiveninthemarkingscheme.
16. Everyexaminershouldstayuptosufficientlyreasonabletime,normally5-6hourseveryday
and evaluate 20-25 answer books.
17. EveryexaminershouldacquaintthemselveswiththeguidelinesgivenintheGuidelinesfor
SpotEvaluationbeforestartingactualevaluation.
Everyexaminershouldacquaintthemselveswiththemarkingschemesofallthesets.
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439
Q.4 'It is the process of entrepreneurship which involves the translation of a
useful idea into an application which has commercial value.' Identify the
process. 1
Ans Innovation.
Note:Incaseanexamineehasmentioned"Sensingofentrepreneurialopportunities"
½ mark may be given.
Q.5 Rahul wants to start an amusement park near Vishakhapattanam. This will
require an investment of ` 50 lakhs. Name the financial institution which
Rahul should approach for financing this venture. 1
Ans Tourism Finance Corporation of India (TFCI)
Q.6 State any two points of importance of 'Goal Setting'. 1+1=2
Ans Writeanytwo points:
1. It is an important exercise for ensuring the appropriate performance
2. Itensuresclarityofvisionandalignmenttotheorganisationalgoals.
3. It allows us to be proactive instead of being reactive
Q.7 Give the meaning of 'Routing' and 'Scheduling' as elements of operational
plan. 1+1=2
Ans Routing is a process concerned with determining exact route or path a product/
service has to follow right from raw material till its transformation into finished
product.
Scheduling means fixation of time, date, day when each operation is to be
commenced and completed.
Q.8 Gaurav started a factory for manufacturing bags for the students of nursery
and primary classes. He invested ` 2,00,000 of his own and obtained a loan
of ` 10,00,000 from bank. He made the instruction plan describing the
details that were needed for the operation of machines by the workers.
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440
Identify and explain the format of 'business plan' described in the above
para. 1+1=2
Ans a. InternalOperationalplan
b. Adetailedplandescribingplanningdetailsthatarerequiredbymanagement
but may not be of interest to external stakeholders.
Note: In case if the examinee has not written as internal operational plan but
only operational plan then ½ mark should be awarded and ½ mark for
explanation
Q.9 With its help the consumers are able to identify the products of a firm and
are also able to differentiate them from those of the competitors. Identify
the concept and state its components. ½+1½=2
Ans (a) Brand.
(b) Ithasthefollowingcomponents-
brand name; brand mark; trade mark.
Q.10 Name and define the form of business organization in which the liability
of its members is limited. State one more feature of this form of business
organization. 1+½+½=2
Ans (a) Joint stock company.
(b) It is an association of persons who contribute money in the shape of shares
and the company gets a legal entity and enjoys a permanent existence.
(c) Ithasthefollowingfeatures:(Anyone)
voluntaryassociation;artificialperson;separatelegalentity;commonseal;limited
liability;transferabilityofshares;diffusionofownershipandmanagement;number
ofmembers;limitationofaction;windingup.
Note: In case the examinee has given co-operative society or name of any other
bodycorporatewithlimitedliabilityofitsmembersthendueweightageshouldbe
given.
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Q.11 What is meant by "Problem Identification" ? State its any four uses and also
give an example. ½+2+½=3
Ans (a) Aproblemisaroadblockinasituation,somethingthatsetsupaconflictand
forcesyoutofindasolution.
(b) Ithasthefollowinguses:(Anyfour)
Bring out new products in the market; understand the problems and needs of the
market;becreative;increaseemploymentgeneration;increasenationalincome
(c) Example: ready to eat foods for the younger career oriented generation (or
anyothersuitableexample)
Q.12 After passing his 12th class with entrepreneurship as an elective subject
'Guru' started his own business. He invested ` 2,00,000 as capital which
was given to him by his father. He obtained a loan of ` 1,00,000 from his
elder brother Ravi, who was working as an assistant manager in Bank of
Baroda. In the first year he incurred a loss of ` 50,000 and had to pay to his
suppliers their outstanding bills. This created a financial problem for him
and he had to take a loan of ` 1,00,000 from the Bank of Baroda on the
personal guarantee of his brother, He started doing hard work, lowered the
prices and informed his customers about the qualities of goods sold by him.
Because of this the sales increased four times and he earned a net profit of
` 75,000 in the second year.
(a) Identify the form of business organization started by "Guru".
(b) State any five features of such a form of business organisation. ½+2+½=3
Ans (a) Soleproprietorship
(b) Thefollowingarethefeaturesforsoleproprietorship:
(Any five features in statement form)
individualownership;individualmanagementandcontrol;
individualfinancing;noseparatelegalentity;unlimitedliability;
solebeneficiary;easyformationandclosure;limitedareaofoperation.
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Q.13 State the advantages of 'Good Negotiations'. 1+1+1=3
Ans 1. Helpsinbuildingbetterrelationships
2. Deliverslasting,qualitysolutions-ratherthanpoorshort-termsolutionsthat
do not satisfy the needs of either party
3. Helpsinavoidingfutureproblemsandconflicts
Q.14 'For the smooth and orderly functioning of corporate sector in a free market
economy, stock exchanges are indispensable because of different roles
played by them for different groups.' Explain the importance of stock
exchange to investors in the light of this statement. 1×3=3
Ans Importance of stock exchange to investors : (any three points)
1. Dissemination of useful Information : Stock exchange publishes useful
information regarding price lists, quotations, etc., of securities through
newspapersandjournals.Theinterestedpersonsbuyandselltheirsecurities
on the basis of information provided by the stock exchanges.
2. Ready Market: Persons desirous of converting their shares in to cash may
easily do so through a member of stock exchange.
3. Investors' Interests Protected: Stock exchanges formulate rules and
regulationssothatmembersmaynotexploittheinvestors.
4. Genuine Guidance about the Securities Listed: The investors can safely
depend upon the information provided by the stock exchanges.
5. Barriers of Distance Removed: Stock exchange removes the barriers of
distance in regard to securities listed there. Without stock exchange the
securitiesofaDelhicompanymayhavealimitedmarketinDelhionly.
6. Knowledge of Profit or loss on Investments: The investors can estimate
theprofitorlossonthetotalamountofinvestmentsinsecurities,bycomparing
theoriginalamountinvestedandthepriceofsecuritiesonaparticularday.
Note: ln case the candidate has written just the heading without the explanation
then ½ mark will be awarded.
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Q.15 'The Fancy Store' a readymade garments retail shop sold 8,000 shirts at `
400 per shirt during the year ended 31st March, 2014. Cost of placing an
order and receiving goods is ` 2,000 per order. Inventory holding cost is `
500 peryear. Calculate the 'Economic OrderQuantity' for 'The Fancy Store'. 1+1½+½=3
Ans EconomicOrderingQuantityFormula
=
C
PD2
=
500
800020002 ××
= 64000
Ans = 252.98 units (253)
Note: 1 mark for the formula; 1½ marks for calculations and ½ for the correct
answer
Q.16 Naveen after completing his M. Tech in Nano Technology wanted to start
hisownbusiness.Hethoughttomanufacturesophisticatedinstrumentsused
in surgery. He knew that his knowledge of NanoTechnology will help him in
manufacturing these instruments.According to him such instruments will
helpthesurgeonstooperateuponthepatientswithaccuracy,withminimum
blood loss and quick post operation recovery; Such types of instruments
are used in advanced countries only and there was a risk in marketing the
same. The cost price of machinery required, for manufacturing such
instruments was very high and more research was required in this field of
Nano Technology. For seed funding, Naveen approached 'Himani Capital
Ltd.' who finance such types of projects. 'Himani Capitals Ltd.' after
analysing the proposal agreed to provide seed capital to Naveen.
Explain the different stages of 'Early stage financing' to seek venture capital
finance after the one discussed above. 1½+1½=3
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Ans (a) Pre-start up and start up finance :
Abusiness plan is presented by the entrepreneur to the VC firm.Amanagement
team is being formed to run the venture. If the company has a board of directors, a
person from the VC firms will take seats at the board of directors. The VC firm
monitors the feasibility of the product and the capability of the management-team
from the board of directors.
(b) Second round financing
This is the first encounter with the rest of the market. The entrepreneur, at this
stage, needs assistance from the Venture Capitalist for expansion, modernization,
diversification so that the economies of scale and stability could be attained.
Q.17 'PureNeerIndiaLtd.'isthemanufacturersofwaterpurifiers.Thecompany
has developed a new water purifier that not only converts the hard water
into soft water but also kills the bacteria and other harmful micro organisms
present in it. The company has named this water purifier as 'Nirmal Neer'
and for its marketing, appointed salesmen throughout the country. The
company also trained the salesmen to provide information about the
usefulness of the 'Nirmal Neer' water purifiers to the customers and
motivate them to buy the same.
(a) Name and explain the 'type of promotion strategy' adopted by the
company.
(b) Also identify the channel of distribution used by the company. 1+1+1=3
Ans (a) Personalselling.
Itmeanssellingproductspersonally.Itinvolvesoralpresentationofmessageinthe
form of conversation with one or more prospective customers with the purpose of
makingsales.
(b) Directchannel/zerolevelofdistribution
18. 'Information for environmental scanning can be collected from several
sources.' State any four such sources. 1+1+1+1=4
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Ans (Anyfour)
1. Verbalinformationfromcustomers,wholesalers,retailers,
distributors,consultants.,etc;
2. records of companies;
3. governmentpublications;
4. publicationsbyvariousfinancialinstitutions;and
5. formalstudiesconductedbystrategicplanner
Q.19 After doing her M.Com. from 'Himachal Pradesh University of Shimla',
Komal went back to her village in Kinnaur district of Himachal Pradesh.
She wanted to contribute for the development of women of her village, so
she formed an organization, the membership of which was open for all the
womenvillagersonvoluntarybasisbypaying` 500onlywhichwillbetreated
as their capital. Komal knew that the land of her village was suitable for the
farming of medicinal plants. So she motivated the members of her
organizationsforgrowingmedicinalplantsintheirfieldsundertheguidance
and help of the local agricultural department. It was also decided that the
organization will purchase the produce of each member and sell the same to
drug manufacturing companies, at a very good price which was not possible
for the members individually. The main objective of the organisation is to
render services to its members rather than to earn profit.
Acomputertrainingcentreforyoungboysandgirlsofthevillagewasstarted
under the guidance of Komal from the surplus of the profits.
(a) Name the process that helped Komal in developing an idea into an
opportunity.
(b) Identify the kind of organization that was formed by Komal.
(c) State any two values which Komal wanted to communicate to the
society. 1+1+2=4
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Ans (a) Sensingentrepreneurialopportunities
(b) Co-operativesocietyformofbusinessorganisation
(c) Any two values:
Courtesy; fostering respect for differences; sensitivity to environment; good
behaviour in human interaction; sharing, compassion, empathy; discipline;
responsibility; respect for law and order; conflict resolution; team work; honesty
andintegrity
(or any other two correct values)
Q.20 'Nomy India Ltd.' are the producers of different sizes of televisions. From
the information given below, calculate the 'Break-Even Quantity' of
the T.V. sets manufactured permonth. 1×4=4
Informations:
Size of T.V. sets Unit selling price Unit variable cost Fixed expenses per month
` ` `
24" 5,000 2,000 4,000
32" 10,000 7,000 6,000
36" 15,000 12,000 8,000
42" 20,000 14,000 9,000
Ans Formula for break even point =
marginGross
expensesFixed
Gross margin = Selling price per unit -Variable cost per unit
Size Selling Variable Gross Fixed BEP- In
Price cost margin cost calculation units
24 5000 2000 3000 4000 4000/3000 1.33
32 10000 7000 3000 6000 6000/3000 2
36 15000 12000 3000 8000 8000/3000 2.66
42 20000 14000 6000 9000 9000/6000 1.5
Note: 1 mark for each horizontal calculation.
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Q.21 'Jagriti Ltd' are the manufacturers of Cars for the last 15 years and was
earning good profits. Recently, due to the irregular supply of parts by the
suppliers the company could not make timely delivery of cars to its
customers. The customers cancelled their bookings and there were very
few new bookings. As a result the sale of the cars declined and also the
profits.Themanagementofthecompanyanalysedtheproblemsanddecided
to take over those two firms because of whom the problems arose. One of
them was supplying engines and the other tyres. The company also launched
new discount schemes for its customers. It also decided to employ 200
unemployed young boys and girls to take up the cleaning operations using
imported machines inside the factories as well as the surrounding areas.
(a) Identify and state the concept of 'Enterprise Marketing and Growth
Strategies' discussed in the above para.
(b) Ideritifyanyonevaluewhich'JagritiLtd'wantedtocommunicatetothe 1½+1½+
society. 1=4
Ans (a) Concept for enterprise marketing - Sales promotion
Concept for growth strategy - Acquisition
(Appropriate explanation required for both concepts)
(b) (Any one appropriate value)
Job opportunity for youth; equal opportunities for both men and women; care for
environmentalcleanliness.
Note: ½ mark for identifying the concept; 1 mark each for the explanation of the
concept; 1 mark for value
Q.22 'The process of generation of ideas' can be streamlined by developing an
awareness about it and these work as the convenient frames of references
for this.
(a) Identify the concept stated in the above lines.
(b) Explain any three sources of the concept identified which are used 1½+4½+
by an Entrepreneur. = 6
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Ans (a) Ideafields
(b) (Anythree)
(1) Natural resources: ldeas can be generated based on natural resources.A
product or service may be desired from forest resources, agriculture,
horticulture,mineral,animalhusbandry,wind,sun,andhumanresource.
(2) Existing products or service:Abusiness opportunity or idea often comes
fromeverydayproblemsthatsomeonesolves.Successful businessesfinda
needandfillitbyprovidingaserviceorproduct.Entrepreneurswholookat
ways to make an existing product or service better can be as successful as
those who create or invent products.
(3) MarketdrivenordemanddrivenMarketresearchisanyorganizedeffort
to gather information about target markets or customers. Ideas can be
generated based on existing demand in the market. It is a very important
componentofbusinessstrategy.
(4) Trading related: Trade is buying goods and services and selling them to
consumersataprofit.Onebigadvantagethattradinghasoverothertypesof
businessesisthatitiseasiertolaunchandlessrisky.Itishowever,necessary
for a prospective trader to be aware of the trends in an economy.
(5) Service sector: Service sector is the most growing fields these days due to
emergingknowledgesocietiesandadvancesinInformationandTechnology.
So new opportunities can be identified by understanding the linkages to
differentbusinessactivities.
(6) Creative efforts: There are basically five ways in which creative ideas can
begenerated:
1. Develop a new product or service.
2. Improveanexistingproductorservice.
3. Find a new process or resource for manufacturing a product.
4. Find new markets for existing products or services.
5. Find a new use for a product or service.
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Q.23 Raj Singh has started a restaurant on a National Highway in the name of
'Desi Dhaba' by spending ` 25,00,000. He invested ` 10,00,000 of his own
and took a loan of ` 15,00,000 from Dena Bank, @ 6% per annum. His
monthly sales revenue is ` 17,00,000 and cost of goods sold is ` 9,00,000.
He pays monthly salary of ` 3,00,000 to his employees. The tax rate is
25%.
You are required to calculate :
(a) Return on Investment and
(b) Return on Equity for Raj Singh. 3+3=6
Ans OptionA(onannualbasis)
FormulaforcalculatingReturnonInvestment=
Net profit after tax × 100 OR Net profit before Interest and tax × 100
TotalCapitalInvested Total Capital Invested
Calculation
Equity 10,00,000
Debt 15,00,000
Capitalinvested 25,00,000
Sales revenue (17,00,000 2,04,00,000
× 12)
Less: cost of goods sold 1,08,00,000
(9,00,000 × 12)
GrossProfit 96,00,000 96,00,000
Less: fixed expenses 36,00,000
(3,00,000 × 12)
Loan 90,000
(15,00,000 × 6/100)
36,90,000 36,90,000
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Net profit before tax 59,10,000
Less: Tax 25% 14,77,500
Net profit after tax 44,32,500
ROI = Net Profit after tax/Total Capital Invested × 100
= 44,32,500/25,00,000 x 100
= 177.3%
OR
ROI = Net Profit before Interest and tax/Total Capital Invested x 100
= 59,10,000 + 90,000/25,00,000 x 100
= 60,00,000/25,00,000 x 100
= 240%
Option B (on monthly basis)
Calculation
Equity 10,00,000
Debt 15,00,000
Capitalinvested 25,00,000
Salesrevenue 17,00,000
Less: cost of goods sold 9,00,000
GrossProfit 8,00,000 8,00,000
Less: fixed expenses 3,00,000
Salaries
Loan 7,500
(15,00,000 × 6/100
= 90,000 × 1/12 )
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3,07,500 3,07,500
Net profit before tax 4,92,500
Less: Tax 25% 1,23,125
Net profit after tax 3,69,375
ROI = Net Profit after tax /capital employed x 100
= 3,69,375/25,00,000 × 100
= 14.77%
OR
ROI = Net profit before interest and tax/Capital employed x 100
= 4,92,500 + 7,500/25,00,000 × 100
= 5,00,000/25,00,000 × 100
= 20%
Return On Equity
Formula = Earnings after tax / Equity x 100
44,32,500/10,00,000 x 100
= 443.25%
Note: In case the examinee has calculated ROI on annual basis - OptionA
is the answer and in case the examinee has calculated on monthly basis
Option B will be the answer.
Q.24 Raghav after doing his B. Pharma. degree from a reputed government
college started two chemist shops in two different localities of his home
town. Encouraged with the success of these shops, he started six more shops
in different cities of the State. His strategy was to cut price, focus on lower
and middle class patients and open shops near hospitals. He operated on
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very thin margins. But he was not able to maintain sufficient funds to meet
the day to day expenses of the business. The staff of the shops did not give
much attention to the customers and there was very poor system of control.
Because of this mismanagement he started incurring huge losses and his
business failed.
Based on the above para identify and explain any four causes of business
failure of Raghav. 1½×4=6
Ans CausesofbusinessfailureofRaghav:(four)
1. Lack of adequate cash flow: Many small businesses fail because owners
haveadifficulttimeprojectingwhatcashwillcomeineverymonth,andthus,
howmuchcangoout.Raghavfailedtoestimatethecorrectexpensewhichis
required to run the business on a daily basis.
2. Management incompetence: Raghav worked on very thin margins which
led to huge losses as well as he did not have control over his staff.
3. Diminished customer base: Raghav did not keep a track of his customer
base. Competition can cause the customer base to diminish.
4. Poor system of control: Raghav could not have proper internal control
overactivitieswhichledtothefailureofhisbusiness.
(Note: or any other relevant point)
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QUESTION PAPER CODE 98/1
EXPECTEDANSWERS/VALUE POINTS
Q.1 List any two categories of persons that are required to obtain registration
from 'Central Excise Department'. ½+½=1
Ans (AnyTwo)
1. Everymanufacturerofdutiableexcisablegoods.
2. First and second stage dealers or importers desiring to issue Cenvatable
invoices.
3. Persons holding bonded warehouses for storing non-duty paid goods.
4. Persons who obtain excisable goods for availing end-use based exemption.
Q.2 Distinguish between a 'Joint Stock Company' and a 'Joint Hindu Family
Business' on the basis of 'liability of its members'. 1
Ans IncaseofaJointStockCompanytheliabilityofmembersislimitedwhereasincase
ofHUFliabilityofkartaisunlimitedandthatofothermembersislimited.
Q.3 Balwant Singh of Bikaner thought of air-conditioned houses which do not
require electricity. He wanted to explore the idea of construction of such
eco-friendlyhouseswhichwillremaincoolinsummersandwarminwinters.
He conceived the idea in 2010 but the final product could take shape in
2014. Name the stage in 'The Creative Process' described in the above
lines. 1
Ans Ideagermination.
Q.4 Give the meaning of 'Ecological Environment'. 1
Ans It considers the ways in which the organisation can produce it's, goods or services
withminimumenvironmentaldamage.
Q.5 Geeta Ram, an orange grower from Nagpur, wants to start a small juice
producing factory using the oranges grown by him as well as by his fellow
villagers. Name the financial institutions he should contact for obtaining
loan for starting his factory. 1
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Ans NationalBankforAgriculturalandRuralDevelopment(NABARD).
Q.6 State any two rules for 'Goal setting'. 1+1=2
Ans Rulesforgoalsetting:(Anytwo)
1. Business goals need to be relevant.
2. Business goals need to be actionable.
3. Business goals need to be achievable stretches.
Q.7 Give the meaning of 'Business situation analysis' and 'Identification of the
targetmarket' as steps in preparing the marketing plan. 1+1=2
Ans Businesssituationanalysisisareviewofpastperformanceandachievementsofthe
enterprise
Identifying the target market- it defines clearly the specific group of potential
customerswhoneedtheenterpriseaimstofulfil.
Q.8 Rahul wants to start a small shoe manufacturing factory. As a part of his
business plan he prepared an 'entertaining slide show and oral narrative'
thatwasmeanttotriggerdiscussionandcreateinterestinpotentialinvestors
for reading the written presentation. Identify and explain the format of the
business plan referred in the above paragraph. 1+1=2
Ans Pitch deck with oral narrative- it is an executive summary and a few key graphs
showingfinancialtrendsandkeydecisionmakingbenchmark.
Q.9 In U.K., they are called 'end lines', 'endlines', or 'straplines'. Germans call
them as 'claims', French refer them as 'signatures', while Belgians call them
'base lines'.
Identify the concept and name its forms, . ½+1½=2
Ans (a) Taglines.
(b) lt'svariousformsare:
questions,statementsandexclamations.
Q.10 Ashok is engaged in the production of readymade garments using cotton
cloth. Identify the business activity in which Ashok is involved.Also name
and define the utility created byAshok. 1+1=2
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Ans Formutility
Changingtheformofrawmaterialintofinishedproductscreatesformutility.
Q.11 What is meant by 'Problem Identification' ? State its any two objectives and
also give an example of 'Problem Identification'. 1+1+1=3
Ans Aproblemisaroadblockinasituation,somethingthatsetsupaconflictandforces
youtofindasolution.
Objectives:- (any two)
1. It should clearly state the problem.
2. Identifytargetgroupfacingtheproblem.
3. Identifythemarketacceptabilityofsolutiontotheproduct.
Example: Ready to eat foods for the younger career oriented generation.
(oranyothersuitableexample)
Q.12 Kareem after completing his XII class from his village school joined the
course of electrician in an ITI in a town near his village. On completion of
this course he tried for a government job but could not get the same. He,
therefore, decided to work as a helper to a renowned electrician of the
area. After working with him for two years he decided to start his own
electrician shop in the village. For this he purchased equipments of ` 10,000
and hired a shop at a monthly rent of ` 2,000. He himself managed the
shop.
(a) Identify the kind of business organisation set up by Kareem.
(b) State any four characteristics of the identified form of business 1+2
organisation. (½×4)=3
Ans (a) Soleproprietorship.
(b) (anyfourcharacteristicsinstatementform)
Individualownership;individualmanagementandcontrol;individualfinancing;
noseparatelegalentity;unlimitedliability;solebeneficiary;easyformation
andclosure;limitedareaofoperation.
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Q.13 State the advantages of 'cost plus' method of pricing. 1+1+1=3
Ans 1. Exactamountofexpenditureisknown.
2. Itisthesimplestmethod.
3. Correctiveactionstakeneasily.
Q.14 'AngelInvestors'and'VentureCapital'arethetwosourcesofraisingfinance
for an entrepreneur. Explain the concept of both the sources stating one
distinguishing feature of each. 1+1+1=3
Ans Angelinvestor-isanaffluentindividualwhoprovidescapitalforaBusinessstart-
upsandearlystagecompaniesusingahigh-risk,high-returnmatrixusuallyinexchange
for convertible debt or ownership equity.
Venture capital- is a type of a private equity capital provided as seed funding to
earlystage,highpotential,highrisk,growthofcompanies/entrepreneurs.
Distinguishing feature: Angel investors participate in the management of the
businessbutventurecapitalistsdonottakepartinthemanagementofthebusiness.
Q.15 'The Shop', a readymade garments retail shop, sold 5,000 shirts at ` 200
per shirt during the year ended 31st March, 2014. Cost of placing an order
and receiving goods is ` 1,000 per order. Inventory holding cost is ` 250
per year. Calculate the 'Economic Order Quantity' for 'The Shop'. 1+1½+½=3
Ans EconomicOrderingQuantityFormula
Q =
C
PD2
=
250
500010002 ××
= 40000
Ans = 200 units
Note: 1 mark for the formula; 1½ marks for calculations and ½ for the correct
answer
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Q.16 GangaDharwasworkingastheproductionmanagerinaGermancompany.
Thecompanywasproducingremoteoperatedhigh-endkitchenequipments.
He resigned from his job and returned to Patna, his hometown. In Patna he
met Aditya, his old friend, who had been managing his factory producing
steel utensils with old technology. Ganga Dhar encouraged Aditya for the
productionofhigh-endkitchenequipments.HealsopromisedtohelpAditya
byprovidingfundsandhisexpertisesothattheproductionunitrunbyAditya
candevelopintoabigproductionhouseanditsinvestorsmaygethighreturn
on investments.
Identify the kind of 'source of capital' provided by Ganga Dhar toAditya
and explain the same. 1+2=3
Ans Angelinvestors.
Features (Any two)
1. They are current or retired executives, business owners or high net worth
individualswhohavetheknowledge,experience,andfunds.
2. Theybearextremelyhighriskandexpectaveryhighreturn.
3. Theyprovideproactiveadvice,guidanceindustryconnectionsandmentoring
start-ups in its early days.
4. Their objective is to create great companies by providing value creation.
5. They have a sharp inclination to keep abreast of current developments in a
particularbusinessarena.
Q.17 'HealthyJuiceIndiaLtd.'and'AsliJuiceLtd.'areengagedintheproduction
of fruit juice. Both the companies sell the juice in 1,000 ml tetra packs and
are in direct competition. To avoid competition, the management of both
the companies decided to merge and formed a new company 'Asli Healthy
Juice India Ltd.'. The new company decided to sell the fruit juice through
the company owned outlets throughout the country.
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(a) Name and explain the 'Enterprise Growth Strategy'.
(b) Also identify the channel of distribution decided by 'Asli Healthy Juice
IndiaLtd.' 1+1+1=3
Ans (a) Horizontalmerger.
Itisamergerbetweencompaniesinthesameindustry.Itisabusinessconsolidation
that occurs between firms which operate in the same space often as competitors
offering the same goods and services.
(b) Direct/zerolevelofdistributionchannel.
Q.18 The first step in the creative process is 'Idea Germination'. State the other
steps of this process. 1×4=4
Ans 1. Preparation- on the basis of the idea, interest and curiosity an entrepreneur
starts looking for an answer to implement the idea.
2. Incubation-thisisansub-consciousassimilationofinformation.
3. Illumination-theidearesurfacesinarealisticwayintheformofaviableplan.
4. Verification-theideaisverifiedtoprovethatithasvalue.
Q.19 Lalita Devi did her post-graduation from ManipurUniversity, Imphal. She
hadofferstojoinreputedfirmsinmetropolitancitieslikeDelhiandMumbai.
Instead of joining any of these firms she decided to do some creative work
in Imphal. She observed that a special type of chilli is grown by the farmers
of most of the villages around Imphal. This chilli has a distinct flavour and
the pickle made from it has a taste that may be liked by many people in
otherpartsofthecountry.Butthefarmerswereneithertrainedinthefarming
of this kind of chilli on a large scale nor was there a secured market for
their produce. Lalita Devi met eighteen like-minded women of the area and
formedanorganizationfordoingthebusinessofpicklemanufacturing.Each
of them contributed ` 2,00,000 towards its capital and were equally
responsible for its management. On one hand they assured the farmers to
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purchasethechilliproducedbythemandontheotherhand,theorganization
with the help of the local agriculture department arranged for the training
of the farmers. They also employed 10 local unemployed graduate girls for
doing the various operations of pickle manufacturing.
(a) Name the process that helped Lalita Devi in 'converting an idea into
anopportunity'.
(b) Identify the kind of organization that Lalita Devi had decided to set
up.
(c) State any two values which Lalita Devi wants to communicate to the
society. 1+1+2=4
Ans (a) Sensingentrepreneurialopportunities.
(b) Partnershipformofbusinessorganisation.
(c) Values:(anytwo)
Courtesy; fostering respect for differences; sensitivity to environment; good
behaviour in human interaction; sharing, compassion, empathy; discipline;
responsibility; respect for law and order; conflict resolution; team work; honesty
andintegrity.
(oranyotherrelevantvalue)
Q.20 'Good Wash Ltd.' are the manufacturers of different sizes of fully automatic
washingmachinesmarkedas'small','medium','large'and'industrial'.From
the information given below, calculate the 'Break-Even Quantity' of the
machines manufactured per month. l×4=4
Information:
Machine Unit Selling UnitVariable Fixed Expenditure
Small 10,000 3,000 35,000
Medium 15,000 8,000 35,000
Download From: http://www.cbseportal.com
460
Large 20,000 13,000 70,000
Industrial 35,000 20,000 1,50,000
Ans Formula for break-even point =
Fixedexpenses
Grossmargin
Gross Margin = selling price per unit - variable cost per unit
Machine Selling Variable Gross Fixed BEP- In
Price cost margin cost calculation units
Small 10000 3000 7000 35000 35000/7000 5
Medium 15000 8000 7000 35000 35000/7000 5
Large 20000 13000 7000 70000 70000/7000 10
Industrial 35000 20000 15000 150000 150000/15000 10
Note: 1 mark for each horizontal calculation.
Q.21 'Sultan Trucks Ltd.' are the manufacturers of commercial trucks for the
last 20 years. The company had been doing good business but recently due
to irregular supply of parts by its suppliers, the company could not make
timely delivery of trucks to the parties who had booked their trucks. The
customers cancelled their bookings and there were very few new bookings.
The sales of the company started declining that resulted into losses. The
management of the company analyzed the problem and decided to take
over those two firms because of whom the problem arose, one of them was
supplyingtyresforitstrucksandanotheraxlestothecompany.Thecompany
also extended credit facilities to the customers and started booking the
trucks without charging any booking amount. It also decided to employ 100
unemployed youth, with 50% reservation for females to take up the cleaning
operations, using the imported machines, inside the factories as well as the
surrounding areas.
Download From: http://www.cbseportal.com
461
(a) Identify and state the concepts of 'Enterprise Marketing and Growth
Strategies' discussed in the above paragraph.
(b) Identify anyone value which 'Sultan Trucks Ltd.'wantstocommunicate 1½+1½+
to the society. 1=4
Ans (a) Conceptforenterprisemarketing-salespromotionarethevariousmethod
is used to increase sales.
Conceptforgrowthstrategy-acquisition:meansacquiringortakingoveranother
company.
(b) Values:(Anyonerelevantvalue)
Courtesy; fostering respect for differences; sensitivity to environment; good
behaviour in human interaction; sharing, compassion, empathy; discipline;
responsibility; respect for law and order; conflict resolution; team work; honesty
andintegrity.
(or any other correct value)
Note:½markeachforidentifyingboththeconcepts;1markeachforthestatements
of both the concepts; 1 mark for value.
Q.22 'One of the keys to business success is to anticipate what the market will
want or need.' Since it is not possible for an entrepreneur to see into the
future, there is one best way. This 'best way' will help the entrepreneur to
understand the market and produce goods or provide services accordingly.
(a) Identify the concept discussed in the above lines.
(b) Explain any three ways in which an entrepreneur can perform the 1½+4½
activities related to the concept identified. =6
Ans (a) Trendspotting
(b) Ways in which an entrepreneur spots trends: (Any three)
1. Read trends: They regularly read the leading publications and websites
affecting their business. This could include industry publications, trade
Download From: http://www.cbseportal.com
462
associationsites,majornewspapers,keybusinessmagazines,thoughtleaders
andinfluentialbloggers.
2. Talk trends: They get involved in specific industry's trade association and
attendingeventsandtalktocustomersbothonlineandoffline.Theyalsotake
advantage of social networking tools like Linkedln and Facebook.
3. Watch trends: They make it a point to regularly go where their target
customers hang out. The entrepreneur spends some time simply watching
and observe what people eat, doing, wearing, using etc.,
4. Think trends:As they absorb and mull about what they've read, heard and
observed,they'llstarttomakeconnectionsandobservationsthatwillleadto
business-boostinginsights.
Q.23 Karan has started a restaurant on National Highway No.1 in the name of
'Apana Dhaba' by spending ` 20,00,000. He invested ` 8,00,000 of his own
and took a loan of ` 12,00,000 from SBI at the rate of 6% per annum. His
monthly sales revenue is ` 12,00,000 and the cost of goods sold is ` 7,00,000.
He pays monthly salaries of ` 2,00,000 to his employees. The rate of tax is
25%.
You are required to calculate the following for Karan :
(a) Return on Investment
(b) Return on Equity
Ans OptionA(on annual basis)
FormulaforcalculatingReturnonInvestment=
Net profit after tax × 100 OR Net profit before Interest and tax × 100
TotalCapitalInvested Total Capital Invested
Calculation
Equity 8,00,000
Debt 12,00,000
3+3=6
1 mark for
formula,1
markfor
calculation,
1 mark for
correct
answer.
Download From: http://www.cbseportal.com
463
CapitalInvested 20,00,000 20,00,000
Salesrevenue 1,44,00,000
(12,00,000 × 12)
Less: cost of 84,00,000
goods sold
(7,00,000 × 12)
GrossProfit 60,00,000 60,00,000
Less: fixed 24,00,000
expenses
(2,00,000 × 12)
Loan 72,000
(12,00,000 × 6/100)
24,72,000 24,72,000
Net profit before tax 35,28,000
Less: Tax 25% 8,82,000
Net profit after tax 26,46,000 26,46,000
ROI = Net Profit after tax/capital invested × 100
= 26,46,000/20,00,000 × 100
= 132.3%
OR
ROI = Net Profit before Interest and tax/Capital Invested × 100
= 35,28,000 + 72,000/20,00,000 × 100
= 30,00,000/20,00,000 × 100
= 180%
Download From: http://www.cbseportal.com
464
Option B (on monthly basis)
Calculation
Equity 8,00,000
Debt 12,00,000
CapitalInvested 20,00,000 20,00,000
Salesrevenue 12,00,000
Less: cost of 7,00,000
goods sold
GrossProfit 5,00,000 5,00,000
Less: fixed
expenses 2,00,000
Salaries
Loan
(12,00,000 ×
6/100 6,000 2,06,000
= 72,000 x 1/12 )
Net profit before tax 2,94,000
Less: Tax 25% 73,500
Net profit after tax 2,20,500
ROI = Net Profit after tax /capital invested × 100
= 2,20,500/20,00,000 × 100
= 11.025%
OR
ROI = Net profit before interest and tax/Capital invested x 100
= 2,94,000 +6,000/20,00,000 × 100
= 3,00,000/20,00,000 × 100
= 15%
Download From: http://www.cbseportal.com
465
Return On Equity
Formula = Net Profit after tax / Equity × 100
26,46,000/8,00,000 × 100
= 330.75%
Note: In case the examinee has calculated ROI on annual basis - OptionA
is the answer and in case the examinee has calculated on monthly basis
Option B will be the answer.
Q.24 Satnam, an IIT-IIM graduate, started three chemists shops at Amritsar,
Patiala and Chandigarh in the name of 'Quality Medicines'. Encouraged
with the success of these shops Satnam opened 50 more shops in different
parts of Punjab. His strategy was to cut price, focus on lower and upper
middle class and open shops near hospitals. He operated on very thin
margins. But he was not able to maintain sufficient funds to meet the day-
to-day expenses of the business. The staff at the shops did not give much
attention to the customers and there was very poor system of control.
Because of this mismanagement he started incurring huge losses and his
business failed.
Based on the above paragraph, identify and explain any four causes of
business failure of Satnam. l½×4=6
Ans CausesofbusinessfailureofSatnam:(Four)
1. lack of adequate cash flow: Many small businesses fail because owners
haveadifficulttimeprojectingwhatcashwillcomeineverymonth,andthus,
howmuchcangoout.Satnamfailedtoestimatethecorrectexpensewhichis
required to run the business on a daily basis.
2. Management incompetence: Satnam worked on very thin margins which
led to huge losses as well as he did not have control over his staff.
3. Diminished customer base: Satnam did not keep a track of his customer
base. Competition can cause the customer base to diminish.
4. Poor system of control: Satnam could not have proper internal control
activitieswhichledtothefailureofhisbusiness.
(Note: Any other relevant point based on the paragraph may also be considered)
Download From: http://www.cbseportal.com

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Class xii-commerce-book-marking-scheme-2015

  • 2. MARKING SCHEME CLASS XII COMMERCE SUBJECTS CENTRAL BOARD OF SECONDARY EDUCATION DELHI 2015 Download From: http://www.cbseportal.com
  • 3. (ii) Published by Secretary, C.B.S.E. 'Shiksha Kendra', 2, Community Centre, Preet Vihar, Delhi - 110301. Laser typesetting and Printed byAkashdeep Printers, Daryaganj, New Delhi - 110002 Manuscript as such highlights the main value points and does not represent a complete ideal answer. Manuscript may vary from time to time and year to year. Price : Rs. 570.00 November, 2015 : 250 Copies CBSE, Delhi-110301 Download From: http://www.cbseportal.com
  • 4. (iii) PREFACE CBSE as a pace setting national Board has constantly been striving to design its evaluation process in a manner that it is used as a powerful means of influencing the quality of teaching and learning in the classroom situation. Also, it has to be so designed that it provides constant feedback regarding the effectiveness of the course content, classroom processes and the growth of individual learners besides the appropriateness of evaluation procedures. As a move in this direction, CBSE started the practice of publishing the Marking Schemes with twin objectives in mind-(i) making the system more transparent and at the same time, (ii) ensuring high degree of reliability in scoring procedure. Who are the markers of answer scripts? How do they mark the answer scripts? How can it be ensured that marking is fair, objective and reliable? Questions of these types naturally arise in the minds of candidates appearing in the public examination. These questions are equally pertinent to the teachers who are not adequately exposed to the CBSE system of marking. Answer Scripts marking is a specialised job. It is assigned to teachers-PGTs for Class XII and TGTs for Class X who are in direct touch with the subject and have a minimum of 3 years experience of teaching the subject at that level. Appointment of examiners is made in accordance with the well- defined norms. Markers examine scripts with the help of detailed guidelines called the 'Marking Schemes'. It is this tool (Marking Scheme) alongwith the extensive supervisory checks and counter-checks through which CBSE tries to ensure objective and fair marking. The present publication is being brought out with a view to serving the following objectives : (i) To give an opportunity to the teachers and students to look into the Marking Schemes that were developed by the Board and supplied to the evaluators in 2014 main examination in some selected main subjects. (ii) To receive feedback and suggestions from institutions/subject teachers on the utility and further improvement of Marking Schemes. (iii) To encourage institutions to undertake similar exercise of developing marking schemes for classes other than those covered by the Board's examination with a view to increasing teachers' responsiveness to them as the essential tools of evaluation. Download From: http://www.cbseportal.com
  • 5. (iv) HOW TO USE Teachers and the students preparing for Class XII examination of the Board constitute the primary interest-group of this publication. Marking Schemes of Question Papers in the subjects of English Core, English Elective-C, Mathematics, Mathematics (for visually impaired), Economics, Business Studies, Accountancy and Entrepreneurship administered in Delhi and Outside Delhi during the 2015 main examination have been included in this document. Some tips on their usage are given below : (a) To Teachers : --- Go through the syllabus and the weightage distribution for the subject carefully. --- Read the question paper to find out how far the question paper set subscribes to the prescribed design. Grade every question by difficulty level for students who have taken the main Board examination. --- Consult the 'Marking Scheme' for each question, with reference to steps into which answers and awards have been divided. --- Work out concrete suggestions for the Board. (b) To Students : --- Study each question carefully, comprehend them and write down the main points of the answer and note down their difficulties for clarification. --- Examine a question in conjunction with the Marking Scheme and find out the proximity of the answer to that suggested in the Marking Scheme. We urge the teachers to encourage their students to make use of this publication. K.K. CHOUDHURY CONTROLLER OF EXAMINATIONS Download From: http://www.cbseportal.com
  • 6. (v) ¼V½¼V½¼V½¼V½¼V½ ekrk&firk ;k vfHkHkkod 6 o"kZ ls 14 o"kZ dh vk;q rd viuh larku vFkok vkfJr tSlh Hkh fLFkfr gks] dks f'k{kk dsekrk&firk ;k vfHkHkkod 6 o"kZ ls 14 o"kZ dh vk;q rd viuh larku vFkok vkfJr tSlh Hkh fLFkfr gks] dks f'k{kk dsekrk&firk ;k vfHkHkkod 6 o"kZ ls 14 o"kZ dh vk;q rd viuh larku vFkok vkfJr tSlh Hkh fLFkfr gks] dks f'k{kk dsekrk&firk ;k vfHkHkkod 6 o"kZ ls 14 o"kZ dh vk;q rd viuh larku vFkok vkfJr tSlh Hkh fLFkfr gks] dks f'k{kk dsekrk&firk ;k vfHkHkkod 6 o"kZ ls 14 o"kZ dh vk;q rd viuh larku vFkok vkfJr tSlh Hkh fLFkfr gks] dks f'k{kk ds fy, volj iznku djsaAfy, volj iznku djsaAfy, volj iznku djsaAfy, volj iznku djsaAfy, volj iznku djsaA Download From: http://www.cbseportal.com
  • 7. (vi) (k) a parent or guardian to provide opportunities for education to his child or as the case may be ward betweentheageofsixandfourteenyears. Download From: http://www.cbseportal.com
  • 8. (vii) CONTENTS Senior School Certificate Examination (XII) Marking Scheme Page No. 1. English Core .............................................................................................................. 1-66 2. English Elective - C .................................................................................................. 67-95 3. Mathematics ............................................................................................................. 96-246 4. Mathematics (for visually impaired) ........................................................................... 247-270 5. Economics ................................................................................................................. 271-301 6. Business Studies ........................................................................................................ 302-349 7. Accountancy .............................................................................................................. 350-424 8. Entrepreneurship ........................................................................................................ 425-465 Download From: http://www.cbseportal.com
  • 9. (viii) LIST OF COORDINATORS/SUBJECT EXPERTS/REPRESENTATIVES OF THE REGIONS FOR UPDATION/FINALISATION OF THE MARKING SCHEME FOR THE SENIOR SCHOOLCERTIFICATE EXAMINATION, 2015 S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts 7. Mrs.MahalakshmiIyengar Prakash Hr. Sec. School, Ahmedabad 8. Ms. Vandana Kapoor Principal DAVPublicSchool MausamVihar Delhi-110092 9. Mrs. Bella Bhateja, PGT G. D. Goenka Pub. School VasantKunj, NewDelhi 10. Ms. Ipsita Das Principal DAVPublicSchool sec.-6, Market Nagar,Abhinav Bindanasi,Cuttack Orisha - 753014 11. Ms.MaliniKhatri Modern School Barakhamba Road NewDelhi 12. Mrs. Neena Kaul St. Mary's School SafdarjungEnclave New Delhi - 110016 ENGLISH CORE 1. Dr. Usha Ram Principal LaxmanPublicSchool Hauz Khas, New Delhi-110016 2. Dr. Opkar Singh Retd. Prof. 121, Sahyog Appartments Mayur Vihar Phase-I Delhi-110091 3. Mrs.SukumariMenon Principal Bhavan'sAdarshVidyalaya Kochi Kerala - 682037 4. Mrs. Prabha Dastidar Principal ArmySchool,Narangi PO - Satgaon, Guwahati - 781027 5. Shri Dev Nagar GodwinPublicSchool Rohta Road Meerut 6. Mrs. I.P. Bhatia Principal Sarla Chopra D.A.V. Public School Sec. 56, Noida Download From: http://www.cbseportal.com
  • 10. (ix) S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts MATHEMATICS 1. Mrs.AnitaSharma Principal S.D. Public School BUBlock,Pitampura, Delhi-110034 2. Dr. V. P. Gupta Professor 43, Kala ViharAppartments, Mayur Vihar, Phase-1 Delhi 3. ShriG.D.Dhall K-171, LIC Colony SyedNangloiVillage Delhi 4. Shri S.N. Chibber Principal(Retd.) B-330, Saraswati Vihar Delhi ENGLISH ELECTIVE-C 1. Dr. Usha Ram Principal LaxmanPublicSchool Hauz Khas, New Delhi-110016 2. Shri P. J. Peter LaxmanPublicSchool Hauz Khas, New Delhi-110016 3. Mrs. Neena Kaul St.Mary’s School B-2Block,SafdarjungEnclave New Delhi-110029 4. Sh. S.R. Vij 48, SahyogAppartment Mayur Vihar, Phase-1 NewDelhi 5. Ms.MaliniKhatri Modern School Barakhamba Road NewDelhi 6. Mrs.ShailjaJaiswal DelhiPublicSchool Site No. 3, Meerut Road, Ghaziabad - UP-201003 7. Sh. D.D. Batra New Way School Sector-K,Ali Ganj Lucknow(U.P.) 8. Ms.VinoditaSankhyan Principal, ShriRamAshramPublicSchool, Majitha Road, Amritsar 13. ShriD.N.Tiwari PGT LaxmanPublicSchool Hauz Khas, New Delhi - 110016 14. ShriNavinSharma LaxmanPublicSchool Hauz Khas, New Delhi - 110016 Download From: http://www.cbseportal.com
  • 11. (x) S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts 12. Ms. C.M. Sreekumari Principal, KendriyaVidyalaya Kadavanthra (PO), Ernakulam,Cochin 13. Dr. P.P. Vermani HOD Modern School Barakhamba Road, NewDelhi 14. Sh.Ajay Marwaha PGT S.D. Public School BUBlockPitampura, Delhi 15. ShriJ.P.Singh PGT (Maths) Retd. KendriyaVidyalaya,AGCRColony Delhi 16. Sh. Radhay Shyam Pandey Principal KrishnaPublicSchool, Sunder Nagar Tehsil-Bhilai Chhatisgarh 17. Dr.AshokSingh Principal ChinmayaVidyalaya Sec.-IV, Bokaro Steel City Bokaro, Jharkhand 5. Shri J. C. Nijhawan C-51, Maharana Pratap Enclave, Delhi-110034 6. ShriRajpalSingh PGT RajkiyaPratibhaVikasVidyalaya, GandhiNagar, New Delhi-110051 7. ShriV.VijayaKumar Principal BHELVikram Hr. Sec. School, BHEL,Piplani Bhopal-462021 8. Sh.ShamsherSingh PGT Govt. Model Sr. Sec. School, Sector-16, Chandigarh. 9. Shri Seshanooj Sarkar Principal KendriyaVidyalaya, Jagiroad,Dist.Morigaon Assam-782413 10. ShriC.Sathyamurthy Principal ChinmayaVidyalaya 9-B, Taylore Road Kilpauk,Chennai. 11. Sh. Ved Kumar Mishra Principal Dr.A.L.MemorialSunbeamSchool Rhania,Varanasi (U.P.) - 221104 Download From: http://www.cbseportal.com
  • 12. (xi) S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts ECONOMICS 1. Mrs. Sushma Khurana Principal LilawatiVidyaMandir, Shakti Nagar, Delhi - 110 007 2. Shri S.K.Aggarwala Deptt.of Economics RajdhaniCollege, Delhi 3. Shri S.N. Sharma BC.-54, ShalimarBagh(West) Delhi 4. Ms. Neeta Mishra DAVPublicSchool SreshthaVihar, Delhi 5. Mrs. Rekha Sharma Principal(Retd.) D-3/14, II Floor, VasantVihar, New Delhi-110057 6. Mrs. NeeluAhuja, PG.T LilawatiVidyaMandir Shakti Nagar Delhi 7. Smt.Anureskha Barkakoti Principal DelhiPublicSchool NRLTownshipNumaligarhdist. Golaghat,Assam-785699 8. LelineS.Theophilus, PGT Kendriya Vidyalaya, CRPF, Avadi,Chennai, Tamilnadu - 600065 9. Mr. Sanjeev Kumar VicePrincipal SBVBrahmpuri, Delhi 10. Mrs. Reema Dewan Principal DelhiPublicSchool, Sector - 40 Chandigarh 11. Dr.ManoranjaniV Principal BharatiyaVidyaBhavansVidya Mandir,Trissur, Kerala 12. Dr. K.K. Pandey Principal KendriyaVidyalayaAMC Luchnow,U.P. 13. Ms.A.Suganthavali Principal Ch. Chhabil Dass Public School, B-Block, Patel Nagar-II Ghaziabad, U.P.-201001 14. Ms. Papiya Mukherjee Principal DAVModel School JM Sengupta Road DurgapurBarddhaman West Bengal - 713205 Download From: http://www.cbseportal.com
  • 13. (xii) S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts 15. Mr.Ajay Kumar PGT RajkiyaPratibhaVikas Vidyalaya, D-1 Nandnagri Delhi-110093 BUSINESS STUDIES 1. Mrs. Meena Goel Principal, Nava Hind Girls Senior Sec. School New Rohtak Road New Delhi-110005 2. Shri S.S. Sehrawat 73-B Chandlor Bhawan, Mahipalpur New Delhi - 110007 3. Mrs.VinitaDutt PGT Govt. Girls Sr. Sec. School Adarsh Nagar Delhi 4. Ms. Baneet Kaur PGT SalwanPublicSchool, RajinderNagar, New Delhi-110055 5. Mrs. Jaya Khurana Sr. Head Mistress Modern School, Barakhamba Road, NewDelhi 6. Mrs. Usha Sharma Principal S.R.N.InternationalSchool NRI Road, Ramnagaria Jagatpura, Jaipur - 302015 7. Shri Ram Chand Jagota PGT, Govt. Model Sr. Sec. School Sector 40, Chandigarh 8. Ms. N. Malathy PGT BVBhavan'sRajajiVidyashram 6 Kilpauk Garden, Chennai Tamilnadu - 600010 9. Dr. Ganga Prasad Pandey Principal DelhiPublicSchool, RefineryNagar Mathura, U.P. 10. Mrs.MiniSuresh PGT SBOA Public Sr. Sec. School, SouthChittoor,Emakulam Kerala-682027 11. Mrs. Savita Kakkar Principal ArmySchool, DaulatSingMargJhansi Cantt. Jhansi UP - 284001 Download From: http://www.cbseportal.com
  • 14. (xiii) 12. Mrs.IndiraAchari Principal BSP Sr. Sec. School, Sec. VII, Bhilal Nagar, Distt.Durg,Chhattisgarh-490006 13. Mr.SavitaDrall Asstt. Director of School (Exam.) Dte.ofEducation Old Sectt. Delhi-110054 14. Mrs. Poonam Khanna Principal SarvodayaKanyaVidyalaya Adarsh Nagar Delhi-110033 15. Mrs. PreetiArya PGT Nava Hind Girls Sr. Sec. School New Rohtak Road, New Delhi-110005 16. Mrs. Inder Jeet Kaur Nava Hind Girls Sr. Sec. School, New Rohtak Road NewDelhi ACCOUNTANCY 1. Ms.RenuJain Principal St. Margaret Public School D-Block, PrashantVihar, Delhi-110085 S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts 2. Shri S.S. Sehrawat RetiredDeputyCommissioner KendriyaVidyalayaSangathan 73-B,ChanlorBhawanMahipalpur, New Delhi - 110037 3. Mrs.Meena Goel Principal Nava Hind Girls Sr.Sec.School New Rohtak Road, NewDelhi 4. Mrs.VinitaDutt PGT(Commerce) Govt. Girls Senior Sec. School A-Block, Saraswati Vihar Delhi - 110034 5. ShriA.K. Kalra Principal, KendriyaVidyalaya, Sector-3,Rohini Delhi-110089 6. ShriA.K. Gautam, Principal, KendriyaVidyalaya, C-2 Block, Janakpuri, New Delhi-110058 7. Dr. K. Mohana Principal Modern Sr. Sec. School AGSofficecolony, Nanganallur, Chennai-600061 Download From: http://www.cbseportal.com
  • 15. (xiv) S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts 8. Ms.MiniBhasin PGT Govt. Girls Modern Sr. Sec. School Sector-18, Chandigarh 9. Sh. Jacob T.P. PGT BharatiyaVidyaBhavans, VidyaMandir,Trissur, Kerala 10. Dr.RanjeetSingh PGT S. J. Public School, JantaColony Jaipur - 302004 11. Sh.ManishChattopadhayay Principal North Point Sr. Sec. Boarding School GorakshabasiMandirComplex, Arjunpur,Kolkata West Bengal - 700059 12. Ms. Geetika Joshi PGT MPVM, 2, Stanley Road, Teliarganj,Allahabad U.P. - 211004 13. Sh. K. Krishna Rao Pricipal DelhiPublicSchool OilIndiaLtdP.O.Duliajan Dist.Diburagarh, Assam - 786602 14. ShriArvindBhatia, Principal BalBhartiPublicSchool, BrijVihar, PO Chander Nagar, Ghaziabad, Uttar Pradesh-201011 15. Ms. Jaya Khurana HOD (Commere) & Headmistress Modern School, Barakhamba Delhi 16. Ms.SavitaShangari HOD (Commerce), GyanBhartiPublicSchool Saket Delhi 17. Ms.AnitaKohli, PGT (Commerce), St. Margaret Sr. Sec. School, D-Block, PrashantVihar, Delhi-110085 18. Mr.Vinod Kumar Lecturer(Commerce), Govt. Boys Sr. Sec. School, Mata Sundri Road New Delhi-110002 19. Mr. Sanjeev Kumar VicePrincipal Govt. Co-Ed Sr. Sec. School, PreetVihar, Delhi-110092 Download From: http://www.cbseportal.com
  • 16. (xv) ENTREPRENEURSHIP 1. Mrs. Sadhana Dutta, PGT, G.D. Goenka Public School VassntKunj, NewDelhi 2. Ms.SandaniniArvind SanskritiSchool Chanakyapuri NewDelhi 3. Ms. Disha Grower DelhiPublicSchool Mathura Road NewDelhi S.No. Name of the Coordinator/Subject Experts S.No. Name of the Coordinator/Subject Experts 4. Sh. S.S. Sehrawat 73 B Chandlor Bhawan Mahipalpur, NewDelhi 5. Ms. Ranjeet Kaur Bakshi PGT Mira Model School B - Block, Janakpuri NewDelhi 6. Dr. Piyush Prasad Director(Academic) NIOS A-24-25 Sector 62, Noida Download From: http://www.cbseportal.com
  • 17. 1 ENGLISH (Core) Time allowed : 3 hours Maximum marks : 100 General Instructions: (i) This paper is divided into three Sections: A, B and C. All the sections are compulsory. (ii) Separate instructions are given with each section and question, wherever necessary. Read these instructions very carefully and follow them faithfully. (iii) Do not exceed the prescribed word limit while answering the questions. QUESTION PAPER CODE 1/1/1 SECTION A : READING 20 Marks 1. Readthepassagegivenbelowcarefully: 12 1. Forfourdays,Iwalkedthroughthenarrowlanesoftheoldcity,enjoyingthe romanceofbeinginacitywherehistorystilllives-initscobblestonestreets andinitspeopleridingasses,carryingvineleavesandpalmastheyoncedid duringthetimeofChrist. 2. ThisisJerusalem,hometothesacredsitesofChristianity,IslamandJudaism. This is the place that houses the church of the Holy Sepulchre, the place whereJesuswasfinallylaidtorest.ThisisalsothesiteofChrist'scrucifixion, burialandresurrection. 3. Built by the Roman Emperor Constantine at the site of an earlier temple to Aphrodite,itisthemostveneratedChristianshrineintheworld.Andjustifiably so. Here, within the church, are the last five stations of the cross, the 10th stationwhereJesuswasstrippedofhisclothes,the11thwherehewasnailed to the cross, the 12th where he died on the cross, the 13th where the body was removed from the cross, and the 14th, his tomb. Download From: http://www.cbseportal.com
  • 18. 2 4. Forallthisweightytradition,theapproachandentrancetothechurchisnon- descript.Youhavetoaskfordirections.EventothedevoutChristianpilgrims walking along the Via Dolorosa - the Way of Sorrows - first nine stations lookclueless.Thenacourtyardappears,hemmedinbyotherbuildingsanda doorway to one side. This leads to a vast area of huge stone architecture. 5. Immediatelyinsidetheentranceisyourfirststop.It'sthestoneofanointing: this is the place, according to Greek tradition, where Christ was removed from the cross. The Roman Catholics, however, believe it to be the spot where Jesus' body was prepared for burial by Joseph. 6. What happened next ? Jesus was buried. He was taken to a place outside the city of Jerusalem where other graves existed and there, he was buried in a cave. However, all that is long gone, destroyed by continued attacks and rebuilding;whatremainsisthemassive-andimpressive-Rotunda(around buildingwithadome)thatEmperorConstantinebuilt.Underthis,andrightin the centre of the Rotunda, is the structure that contains the Holy Sepulchre. 7. "How do you know that this is Jesus' tomb ?" I asked one of the pilgrims standing next to me. He was clueless, more interested, like the rest of them, in the novelty of it all and in photographing it, than in its history or tradition. 8. Atthestartofthefirstcentury,theplacewasadisusedquarryoutsidethecity walls.Accordingtothegospels,Jesus’crucifixionoccurred‘ataplaceoutside thecitywallswithgravesnearby......’Archaeologistshavediscoveredtombs from that era, so the site is compatible with the biblical period. 9. Thestructureatthesiteisamarbletombbuiltovertheoriginalburialchamber. It has two rooms, and you enter four at a time into the first of these, the Chapel of the Angel. Here the angel is supposed to have sat on a stone to recountChrist'sresurrection.Alowdoormadeofwhitemarble,partlyworn awaybypilgrims'hands,leadstoasmallerchamberinside.Thisisthe'room of the tomb', the place where Jesus was buried. Download From: http://www.cbseportal.com
  • 19. 3 10. We entered in single file. On my right was a large marble slab that covered theoriginalrockbenchonwhichthebodyofJesuswaslaid.Awomanknelt and prayed. Her eyes were wet with tears. She pressed her face against the slab to hide them, but it only made it worse. Onthebasisofyourunderstandingofthispassageanswerthefollowingquestionswith thehelpofgivenoptions: (1 x 4 = 4) (a) How does Jerusalem still retain the charm of ancient era? (i) There are narrow lanes. (ii) Roads are paved with cobblestones. (iii) People can be seen riding asses (iv) All of the above (b) Holy Sepulchre is sacred to _________ . (i) Christianity (ii) Islam (iii) Judaism (iv) Both(i)and(iii) (c) Why does one have to constantly ask for directions to the church ? (i) Its lanes are narrow. (ii) Entrance to the church is non-descript. (iii) People are not tourist- friendly. (iv) Everyoneislostinenjoyingtheromanceoftheplace. Download From: http://www.cbseportal.com
  • 20. 4 (d) Where was Jesus buried? (i) In a cave (ii) At a place outside the city (iii) IntheHolySepulchre (iv) Both(i)and(ii) Answerthefollowingquestionsbriefly: (1 x 6 = 6) (e) What is the Greek belief about the 'stone of anointing' ? (f) WhydidEmperorConstantinebuildtheRotunda? (g) Whatisthegeneralattitudeofthepilgrims? (h) How is the site compatible with the biblical period ? (i) Why did the pilgrims enter the room of the tomb in a single me ? (j) Why did 'a woman' try to hide her tears? (k) Find words from the passage which mean the same as : (1 x 2 = 2) (i) A large grave (para 3) (ii) Havingnointerestingfeatures/dull(para4) 2. Read the passage given below : 10 1. We often make all things around us the way we want them. Even during our pilgrimages we have begun to look for whatever makes our heart happy, givescomforttoourbodyandpeacetothemind.Itisasifexternalsolutions will fulfil our needs, and we do not want to make any special efforts even in our spiritual search. Our mind is resourceful - it works to find shortcuts in simple and easy ways. Download From: http://www.cbseportal.com
  • 21. 5 2. Even pilgrimages have been converted into tourism opportunities. Instead, we must awaken our conscience and souls and understand the truth. Let us not tamper with either our own nature or that of the Supreme. 3. All our cleverness is rendered ineffective when nature does a dance of destruction.Itsfurycanandwillwashawayallimperfections.Indianculture, based on Vedic treatises, assists in human evolution, but we are now using ourentireenergyindistortingthesetraditionsaccordingtoourconvenience insteadofmakingeffortstomakeourselvesworthyofthem. 4. The irony is that humans are not even aware of the complacent attitude they have allowed themselves to sink to. Nature is everyone's Amma and her fierce blows will sooner or later comer us and force us to understand this truth.Earlier,pilgrimagestoplacesofspiritualsignificancewereritualsthat were undertaken when people became free from their worldly duties. Even nowsomeseekerstakeupthispiousreligiousjourneyasapathtopeaceand knowledge.Anyonetravellingwiththisattitudefeelsandtravelswithonlya few essential items that his body can carry. Pilgrims traditionally travelled light,onfoot,eatinglight,driedchickpeasandfruits,orwhateverwasavailable. Pilgrims of olden days did not feel the need to stay in specialAC bedrooms, ortravelbyluxurycarsorindulgethemselveswithdeliciousfoodandsavouries. 5. Pilgrimstraditionallymovedahead,creatingafeelingofbelongingtowards all,conveyingamessageofbrotherhoodamongalltheycameacrosswhether insmallcaves,ashramsorlocalsettlements.Theyreceivedtheblessingsand congregationsofyogisandmahatmasinreturnwhileconductingthedharma oftheirpilgrimage.Apilgrimageislikepenanceorsadhanatostaynearnature and to experience a feeling of oneness with it, to keep the body healthy and fulfilled with the amount of food, while seeking freedom from attachments andyetremaininghappywhilestayingawayfromrelativesandassociates. 6. This is how a pilgrimage should be rather than making it like a picnic by taking a large group along and living in comfort, packing in entertainment, Download From: http://www.cbseportal.com
  • 22. 6 and tampering with environment. What is worse is giving a boost to the ego of having had a special darshan. Now alms are distributed, charity done whiletheybragabouttheirspiritualexperiences! 7. Wemustembarkonourspiritualjourneybyfirstunderstandingthegraceand significanceofapilgrimageandfollowingitupwiththeprescribedrulesand rituals-thisiswhattranslatesintotheultimateandbeautifulmediumofspiritual evolution.Thereisnojustificationfortamperingwithnature. 8. A pilgrimage is symbolic of contemplation and meditation and acceptance, and is a metaphor for the constant growth or movement and love for nature that we should hold in our hearts. 9. Thisisthetruth! On the basisofyourunderstandingoftheabovepassageanswerthequestionsthatfollow withthehelpofgivenoptions: (1 x 2 = 2) (a) How can a pilgrim keep his body healthy? (i) Bytravellinglight (ii) Byeatingasmallamountoffood (iii) Bykeepingfreefromattachments (iv) Both(i)and(ii) (b) How do we satisfy our ego ? (i) Byhavingaspecialdarshan (ii) Bydistributingalms (iii) Bytreatingitlikeapicnic (iv) Both(i)and(ii) Download From: http://www.cbseportal.com
  • 23. 7 Answerthefollowingasbrieflyaspossible: (1 x 6 = 6) (c) What change has taken place in our attitude towards pilgrimages? (d) Whathappenswhenpilgrimagesareturnedintopicnics? (e) Why are we complacent in our spiritual efforts ? (f) How does nature respond when we try to be clever with it ? (g) In olden days with what attitude did people go on a pilgrimage? (h) What message does the passage convey to the pilgrims? (i) Findwordsfromthepassagewhichmeanthesameasthefollowing: (i) made / turned (para 3) (ii) very satisfied (para 4) 3. Read the passage given below: 8 It is surprising that sometimes we don't listen to what people say to us. We hear them, but we don't listen to them. I was curious to know how hearing is different fromlistening.Ihadthoughtbothweresynonyms,butgradually,Irealisedthereis a big difference between the two words. Hearingisaphysicalphenomenon.Wheneversomebodyspeaks,thesoundwaves generated reach you, and you definitely hear whatever is said to you. However, even if you hear something, it doesn't always mean that you actually understand whateverisbeingsaid.Payingattentiontowhateveryouhearmeansyouarereally listening. Consciously using your mind to understand whatever is being said is listening. Divingdeeper,Ifoundthatlisteningisnotonlyhearingwithattention,butismuch morethanthat.Listeningishearingwithfullattention,andapplyingourmind.Most of the time, we listen to someone, but our minds are full of needless chatter and there doesn't seem to be enough space to accommodate what is being spoken. Download From: http://www.cbseportal.com
  • 24. 8 We come with a lot of prejudices and preconceived notions about the speaker or the subject on which he is talking. We pretend to listen to the speaker, but deep inside,wesitinjudgementandaredyingtopronouncerightorwrong,trueorfalse, yesorno.Sometimes,weevencomepreparedwithanegativemindsetofproving the speaker wrong. Even if the speaker says nothing harmful, we are ready to pounceonhimwithourownversionofthings. What we should ideally do is listen first with full awareness. Once, we have done that, we can decide whether we want to make a judgement or not. Once we do that,communicationwillbeperfectandourinterpersonalrelationshipwillbecome somuchbetter.Listeningwelldoesn'tmeanonehastosaytherightthingattheright moment.Infact,sometimesifwordsareleftunspoken,thereisafeelingoftension andnegativity.Therefore,itisbettertospeakoutyourmind,butdosowithawareness afterlisteningtothespeakerwithfullconcentration. Let'slookatthisinanotherway.Whenyoureallylisten,youimbibenotonlywhat is being spoken, but you also understand what is not spoken as well. Most of the time we don't really listen even to people who really matter to us. That's· how misunderstandingsgrowamongfamilies,husbandsandwives,brothersandsisters. (A) On the basis of your reading of the above passage make notes on it, using headings and sub-headings. Use recognizable abbreviations (wherever necessary-minimumfour)andaformatyouconsidersuitable.Alsosupply an appropriate title to it. (5) (B) Write a summary of the passage in about 80 words. (3) SECTION -B 30 Marks ADVANCED WRITINGSKILLS 4. Every year in the central park of the city a flower show is held in the month of February.Your school has received a circular from the District Collector inviting your students to visit it. Write a notice in about 50 words informing the students Download From: http://www.cbseportal.com
  • 25. 9 abouttheshowandadvisingthemtogoandenjoyit.YouareNavtej/Navita,Head Boy/HeadGirlSunrisePublicSchool,Surat. 4 OR SarvodayaEducationSociety,acharitableorganisationiscomingtoyourschoolto distributebooksamongtheneedystudents.AsHeadBoy/HeadGirl,SunrisePublic School, Surat, write a notice in about 50 words asking such students to drop the lists of books they need in the box kept outside the Principal's office. You are Navtej/Navita. 5. Recently you went to your native village to visit your grandparents.You saw that some of the children in the age group 5 - 14 (the age at which they should have beenatschool)remainedathome,wereworkinginthefieldsorsimplyloiteringin the streets. Writealetterin120-150wordstotheeditorofanationaldailyanalyzingtheproblem and offering solutions to it.You are Navtej/Navita, M-114 Mount Kailash, Kanpur. 6 OR When cricket teams go abroad the members are allowed to take their wives, even friendsalongwiththem.Doesthisfactdistractthemorhelpthemtofocusontheir game in a better way? If it is good, why don't we allow our athletes to enjoy the sameprivilege? Writealettertoeditorofanationaldailyin120·150wordsgivingyourviewsonthe issue.You are Navtej/Navita, M-114 Mount Kailash, Kanpur. 6. Mobilephoneoftodayisnolongerameremeansofcommunication.Musiclovers are so glued to it that they don't pay attention even to the traffic while crossing the roads. This leads to accidents sometimes even fatal ones. Writeaspeechin150-200wordstobedeliveredinthemorningassemblyadvising thestudents to be careful in the use of this otherwise very useful gadget. Imagine youarePrincipalofyourschool. 10 Download From: http://www.cbseportal.com
  • 26. 10 OR Power shortage has become a norm even in the metropolitan cities. One way to facethissituationisbypreventingthewastageofpower. Write a speech in 150-200 words on the importance of power in our daily life and how to save power at school and at home. Imagine that you are the Principal of yourschool. 7. In the year to come (if you have not already done this year) you are going to celebrate your 18th birthday. Write an article in 150-200 words on the joys and responsibilitiesofbeingeighteen.YouareNavtej/Navita. 10 OR Write an article in 150-200 words on how we can make India a carefree and enjoyable place for women when they can go wherever they like to without any fear of being stared at, molested or discriminated against.You are Navtej/Navita. SECTION - C 40 Marks LITERATURE: TEXT BOOKSAND LONG READINGTEXT 8. Read the extract given below and answer the questions that follow : 4 I saw my mother, beside me, doze, open mouthed, her face ashenlikethat of a corpse and realized with pain that she was as old as she looked but soon put that thought away, .... Download From: http://www.cbseportal.com
  • 27. 11 (a) What worried the poet when she looked at her mother? (1) (b) Whywastherepaininherrealization? (1) (c) Why did she put that thought away? (1) (d) Identifythefigureofspeechusedintheselines. (1) OR Far from gusty waves these children's faces. Like rootless weeds, the hair torn round their pallor; Thetallgirlwithherweighed-downhead. (a) Who are these children? (1) (b) What does the poet mean by 'gusty waves' ? (1) (c) What has possibly weighed-down the tall girl's head ? (1) (d) Identifythefigureofspeechusedintheselines. (1) 9. Answer any four of the following in 30 - 40 words each : 3 x 4 = 12 (a) Whooccupiedthebackbenchesintheclassroomonthedayofthelastlesson? Why? (b) WhydidDouglas'motherrecommendthatheshouldlearnswimmingatthe YMCAswimmingpool? (c) Whatwillcountinguptotwelveandkeepingstillhelpusachieve? (d) What does a thing of beauty do for us ? (e) Which do you think is a better ending of Roger Skunk's story, Jo's or her father's? Why ? (f) What could the Governor have done to securely bring Evans back to the prison from the 'Golden Lion' ? Download From: http://www.cbseportal.com
  • 28. 12 10. Answer the following in 120 - 150 words: Givingabribeisanevilpractice.HowdidtheTigerKingbribetheBritishofficerto save his kingdom? How do you view this act of his ? 6 OR Dr. Sadao was a patriotic Japanese as well as a dedicated surgeon. How could he honour both the values ? 11. Answerthefollowingin 120-150words: DescribethedifficultiesthebanglemakersofFirozabadhavetofaceintheirlives. 6 OR The peddler declined the invitation of the ironmaster but accepted the one from Edla.Why? 12. Answerthefollowingin 120-150words: DescribetheironicalsituationinwhichSilasMarnerhadtoleaveLanternYard. 6 OR WithinafewdaysofhisarrivalinIping,peoplebecamesuspiciousofGriffin.Why? 13. Answerthefollowingin 120-150words: Describe Dolly Winthrop as the most lovable character in George Eliot's 'Silas Marner'. 6 OR Attempt a character sketch of Marvel. Download From: http://www.cbseportal.com
  • 29. 13 QUESTION PAPER CODE 1/1 SECTION A : READING 20 Marks 1. Readthepassagecarefully. 12 1 Forfourdays,Iwalkedthroughthenarrowlanesoftheoldcity,enjoyingthe romanceofbeinginacitywherehistorystilllives-initscobblestonestreets andinitspeopleridingasses,carryingvineleavesandpalmastheyoncedid duringthetimeofChrist. 2 ThisisJerusalem,hometothesacredsitesofChristianity,IslamandJudaism. This is the place that houses the church of the Holy Sepulchre, the place whereJesuswasfinallylaidtorest.ThisisalsothesiteofChrist'scrucifixion, burialandresurrection. 3 Built by the Roman Emperor Constantine at the site of an earlier temple to Aphrodite,itisthemostveneratedChristianshrineintheworld.Andjustifiably so. Here, within the church, are the last five stations of the cross, the 10th stationwhereJesuswasstrippedofhisclothes,the11thwherehewasnailed to the cross, the 12th where he died on the cross, the 13th where the body was removed from the cross, and the 14th, his tomb. 4 For all this weighty tradition, the approach and entrance to the church is nondescript. You have to ask for directions. Even to the devout Christian pilgrims walking along the Via Dolorosa - the Way of Sorrows - first nine stationslookclueless.Thenacourtyardappears,hemmedinbyotherbuildings andadoorwaytooneside.Thisleadstoavastareaofhugestonearchitecture. 5 Immediatelyinsidetheentranceisyourfirststop.It'sthestoneofanointing: this is the place, according to Greek tradition, where Christ was removed from the cross. The Roman Catholics, however, believe it to be the spot where Jesus' body was prepared for burial by Joseph. 6 What happened next? Jesus was buried. He was taken to a place outside the city of Jerusalem where other graves existed and there, he was buried in a Download From: http://www.cbseportal.com
  • 30. 14 cave. However, all that is long gone, destroyed by continued attacks and rebuilding;whatremainsisthemassive-andimpressive-Rotunda(around buildingwithadome)thatEmperorConstantinebuilt.Underthis,andrightin the centre of the Rotunda, is the structure that contains the Holy Sepulchre. 7 "How do you know that this is Jesus' tomb ?" I asked one of the pilgrims standing next to me. He was clueless, more interested, like the rest of them, inthenoveltyofitallandinphotographingit,thaninitshistoryortradition. 8 Atthestartofthefirstcentury,theplacewasadisusedquarryoutsidethecity walls.Accordingtothegospels,Jesus'crucifixionoccurred'ataplaceoutside thecitywallswithgravesnearby........'.Archaeologistshavediscoveredtombs from that era, so the site is compatible with the biblical period. 9 Thestructureatthesiteisamarbletombbuiltovertheoriginalburialchamber. It has two rooms, and you enter four at a time into the first of these, the Chapel of the Angel. Here the angel is supposed to have sat on a stone to recountChrist'sresurrection.Alowdoormadeofwhitemarble,partlyworn awaybypilgrims'hands,leadstoasmallerchamberinside.Thisisthe'room of the tomb', the place where Jesus was buried. 10 Weenteredinasinglefile.Onmyrightwasalargemarbleslabthatcovered theoriginalrockbenchonwhichthebodyofJesuswaslaid.Awomanknelt and prayed. Her eyes were wet with tears. She pressed her face against the slab to hide them, but it only made it worse. Onthebasisofyourunderstandingofthispassageanswerthefollowingquestions withthehelpofthegivenoptions: l x 4 = 4 (a) How does Jerusalem still retain the charm of the ancient era? (i) There are narrow lanes. (ii) Roads are paved with cobblestones. (iii) People can be seen riding asses. (iv) All of the above Download From: http://www.cbseportal.com
  • 31. 15 (b) Holy Sepulchre is sacred to (i) Christianity (ii) Islam (iii) Judaism (iv) Both(i)and(iii) (c) Why does one have to constantly ask for directions to the church? (i) Its lanes are narrow. (ii) Entrance to the church is nondescript. (iii) Peoplearenottourist-friendly. (iv) Everyoneislostinenjoyingtheromanceoftheplace. (d) Where was Jesus buried? (i) In a cave (ii) At a place outside the city (iii) IntheHolySepulchre (iv) Both(i)and(ii) Answerthefollowingquestionsbriefly: l x 6 = 6 (e) What is the Greek belief about the 'stone of anointing'? (f) WhydidEmperorConstantinebuildtheRotunda? (g) Whatisthegeneralattitudeofthepilgrims? (h) Howisthesitecompatiblewiththebiblicalperiod? (i) Whydidthepilgrimsenterthe'roomofthetomb'inasinglefile? Download From: http://www.cbseportal.com
  • 32. 16 (j) Why did 'a woman' try to hide her tears? (k) Find words from the passage which mean the same as: (i) A large grave (para 3) (ii) Havingnointerestingfeatures/dull(para4) 2. Readthepassagecarefully. 10 1 We often make all things around us the way we want them. Even during our pilgrimages we have begun to look for whatever makes our heart happy, givescomforttoourbodyandpeacetothemind.Itisasifexternalsolutions will fulfil our needs, and we do not want to make any special efforts even in our spiritual search. Our mind is resourceful - it works to find shortcuts in simple and easy ways. 2 Even pilgrimages have been converted into tourism opportunities. Instead, we must awaken our conscience and souls and understand the truth. Let us not tamper with either our own nature or that of the Supreme. 3 All our cleverness is rendered ineffective when nature does a dance of destruction.Itsfurycanandwillwashawayallimperfections.Indianculture, based on Vedic treatises, assists in human evolution, but we are now using ourentireenergyindistortingthesetraditionsaccordingtoourconvenience insteadofmakingeffortstomakeourselvesworthyofthem. 4 The irony is that humans are not even aware of the complacent attitude they have allowed themselves to sink to. Nature is everyone's Amma and her fierce blows will sooner or later corner us and force us to understand this truth.Earlier,pilgrimagestoplacesofspiritualsignificancewereritualsthat were undertaken when people became free from their worldly duties. Even nowsomeseekerstakeupthispiousreligiousjourneyasapathtopeaceand knowledge.Anyonetravellingwiththisattitudefeelsandtravelswithonlya few essential items that his body can carry. Pilgrims traditionally travelled light,onfoot,eatinglight,driedchickpeasandfruits,orwhateverwasavailable. Download From: http://www.cbseportal.com
  • 33. 17 Pilgrims of olden days did not feel the need to stay in specialAC bedrooms, or travel by luxury cars or indulge themselves with delicious food and savouries. 5 Pilgrimstraditionallymovedahead,creatingafeelingofbelongingtowards all,conveyingamessageofbrotherhoodamongalltheycarneacrosswhether insmallcaves,ashramsorlocalsettlements.Theyreceivedtheblessingsand congregationsofyogisandmahatmasinreturnwhileconductingthedharma oftheirpilgrimage.Apilgrimageislikepenanceorsadhanatostaynearnature and to experience a feeling of oneness with it, to keep the body healthy and fulfilled with the amount of food, while seeking freedom from attachments andyetremaininghappywhilestayingawayfromrelativesandassociates. 6 This is how a pilgrimage should be rather than making it like a picnic by taking a large group along and living in comfort, packing in entertainment, and tampering with environment. What is worse is giving a boost to the ego of having had a special darshan. Now alms are distributed, charity done whiletheybragabouttheirspiritualexperiences! 7 Wemustembarkonourspiritualjourneybyfirstunderstandingthegraceand significanceofapilgrimageandfollowingitupwiththeprescribedrulesand rituals-thisiswhattranslatesintotheultimateandbeautifulmediumofspiritual evolution.Thereisnojustificationfortamperingwithnature. 8 A pilgrimage is symbolic of contemplation and meditation and acceptance, and is a metaphor for the constant growth or movement and love for nature that we should hold in our hearts. 9 Thisisthetruth! On the basis of your understanding of the above passage answer the questions that followwiththehelpofthegivenoptions: 1 x 2 = 2 (a) How can a pilgrim keep his body healthy? (i) Bytravellinglight Download From: http://www.cbseportal.com
  • 34. 18 (ii) Byeatingasmallamountoffood (iii) Bykeepingfreefromattachments (iv) Both(i)and(ii) (b) How do we satisfy our ego? (i) Byhavingaspecialdarshan (ii) Bydistributingalms (iii) Bytreatingitlikeapicnic (iv) Both(i)and(ii) Answerthefollowingasbrieflyaspossible: 1 x 6 = 6 (c) What change has taken place in our attitude towards pilgrimages? (d) Whathappenswhenpilgrimagesareturnedintopicnics? (e) Whyarewecomplacentinourspiritualefforts? (f) How does nature respond when we try to be clever with it ? (g) In olden days with what attitude did people go on a pilgrimage? (h) What message does the passage convey to the pilgrims? (i) Findwordsfromthepassagewhichmeanthesameasthefollowing: 1 x 2 = 2 (i) made/turned (para 3) (ii) very satisfied (para 4) 3. Read the passage given below : 8 It is surprising that sometimes we don't listen to what people say to us. We hearthem,butwedon'tlistentothem.Iwascurioustoknowhowhearingisdifferent Download From: http://www.cbseportal.com
  • 35. 19 fromlistening.Ihadthoughtbothweresynonyms,butgradually,Irealisedthereis a big difference between the two words. Hearingisaphysicalphenomenon.Wheneversomebodyspeaks,thesound waves generated reach you, and you definitely hear whatever is said to you. However, even if you hear something, it doesn't always mean that you actually understand whatever is being said. Paying attention to whatever you hear means you are really listening. Consciously using your mind to understand whatever is beingsaidislistening. Divingdeeper,Ifoundthatlisteningisnotonlyhearingwithattention,butis muchmorethanthat.Listeningishearingwithfullattention,andapplyingourmind. Most of the time, we listen to someone, but our minds are full of needless chatter and there doesn't seem to be enough space to accommodate what is being spoken. Wecomewithalotofprejudicesandpreconceivednotionsaboutthespeaker or the subject on which he is talking. We pretend to listen to the speaker, but deep inside,wesitinjudgementandaredyingtopronouncerightorwrong,trueorfalse, yesorno.Sometimes,weevencomepreparedwithanegativemindsetofproving the speaker wrong. Even if the speaker says nothing harmful, we are ready to pounceonhimwithourownversionofthings. What we should ideally do is listen first with full awareness. Once we have done that, we can decide whether we want to make a judgement or not. Once we dothat,communicationwillbeperfectandourinterpersonalrelationshipwillbecome somuchbetter.Listeningwelldoesn'tmeanonehastosaytherightthingattheright moment.Infact,sometimesifwordsareleftunspoken,thereisafeelingoftension andnegativity.Therefore,itisbettertospeakoutyourmind,butdosowithawareness afterlisteningtothespeakerwithfullconcentration. Let'slookatthisinanotherway.Whenyoureallylisten,youimbibenotonly what is being spoken, but you also understand what is not spoken as well. Most of the time we don't really listen even to people who really matter to us. That's how misunderstandingsgrowamongfamilies,husbandsandwives,brothersandsisters. Download From: http://www.cbseportal.com
  • 36. 20 (a) On the basis of your reading of the above passage make notes on it, using headings and sub-headings. Use recognizable abbreviations (wherever necessary-minimumfour)andaformatyouconsidersuitable.Alsosupply an appropriate title to it. 5 (b) Write a summary of the passage in about 80 words. 3 SECTION B - (Writing Skills) 30 4. Your school,Akash Public School,Agra needs a canteen manager. On behalf of the Principal, write an advertisement in about 50 words to be published in the classified columns of a local daily. Mention the educational and professional qualifications,otherqualitiesrequiredinthemanager,whotoapplytoandthelast date for the receipt of applications. 4 OR Your club is going to organise an interclass singing competition. Write a notice in about50wordsinvitingnamesofthestudentswhowanttoparticipateinit.Giveall thenecessarydetails.YouareNavtej/Navita,Secretary,MusicClub,AkashPublic School,Agra. 5. YouareNavtej/Navita,Secretary,EnvironmentClub,AkashPublicSchool,Agra. You,alongwithagroupofstudents,wentona3-daytourthroughCorbettNational Park.Youfoundhowthetouristsabusetheavailablefacilitiesandthusendangerthe environment. Write a letter in 120 - 150 words to the editor of a national daily highlightingthesituation.SuggestwaysthroughwhichtheenvironmentofthePark can be saved. 6 OR On Teacher's Day, you read in a newspaper that privately owned and managed schools in small towns or even in the suburbs of metropolitan cities exploit their teachersbypayingthemjustafractionoftheirauthorisedsalaries.Thisaffectstheir Download From: http://www.cbseportal.com
  • 37. 21 performance in the classroom and thus the lives of their students. Write a letter in 120 - 150 words to the editor of a national daily raising your voice against such exploitation. Suggest ways to solve this problem.You are Navtej/Navita, 112Taj Road,Agra. 6. The government has banned the use of animals in the laboratories for the purpose of dissection. Write a debate in 150 - 200 words either for or against this decision. 10 OR Somepeoplefeelthatelectronicmedia(TVnews)willbringabouttheendofprint media (newspapers). What are your views on the issue? Write a debate in 150 - 200 words either for or against this view. * useofvisualsonTV * authenticandfast * not enough news for 24-hour telecast * mayfabricatenews * becomerepetitiveanddull * even scandals become news * print media - time tested * analysed,verifiednews * editorialcomments * cater to all interests 7. Ragginghasraiseditsuglyheadagain.Arecentincidentataprestigiousschoolhas shown that this evil has not yet come to an end.Write an article in 150 - 200 words on'Ragging,anEvil'.YouareNavtej/Navita. 10 * a practice from the British era * originalaim,respectforhierarchy * enforcingtraditions,discipline Download From: http://www.cbseportal.com
  • 38. 22 * Prefect - a teacher substitute * misuseofauthority * vulgaraspect * fatalities * solution OR India is a tourist's dream destination. Give your views on the tourism potential of India in an article in 150 - 200 words.You are Navtej/Navita. * placesofworship-religioustourism * foreigners-placesofhistoricalinterest * therich-hillstationsduringsummers - the sun-kissed beaches in winters -leisuretourism * medicaltourism-worldclasshospitals SECTION C - (Literature, Text Books and Long Reading Text) 40 8. Read the extract given below and answer the questions that follow : and looked out at young treessprinting,themerrychildrenspilling out of their homes, but after the airport's security check, standing a few yards away, I looked again at her, wan, pale Download From: http://www.cbseportal.com
  • 39. 23 as a late winter's moon and felt that old familiar ache, ... ... ... (a) How can the trees sprint? 1 (b) Why did the poet look at her mother again? 1 (c) What did she observe? 1 (d) Identifythefigureofspeechusedintheselines. 1 OR Ontheirslagheap,thesechildren Wear skins peeped through by bones and spectacles of steel With mended glass, like bottle bits on stones. (a) Who are these children? 1 (b) What is their slag heap ? 1 (c) Whyaretheirbonespeepingthroughtheirskins? 1 (d) What does 'with mended glass' mean ? 1 9. Answer any four of the following in 30 - 40 words each : 3 x 4 = 12 (a) What did garbage mean to the children of Seemapuri and to their parents? (b) How did Rajkumar Shukla establish that he was resolute? (c) 'Life is what it is all about; .... ' How is keeping quiet related to life? (d) Mention any four things of beauty that add joy to our life. (e) Themannerofhis(theTigerKing's)deathisamatterofextraordinaryinterest. Comment. Download From: http://www.cbseportal.com
  • 40. 24 (f) In what condition did Dr. Sadao find theAmerican soldier at the seashore? 10. Answer the following question in 120 - 150 words: 6 Even today so many among us believe in superstitions.An astrologer predicted about 'the Tiger King' that he would be killed by a tiger. He 'killed' one hundred tigersyetwashimself'killed'byatiger.Howdidthesuperstitiousbelief'prevail'? OR Dr. Sadao faced a dilemma. Should he use his surgical skills to save the life of a woundedpersonorhandanescapedAmericanP.O.W.overtotheJapanesepolice? How did he resolve this clash of values ? 11. Answer the following question in 120 - 150 words: 6 Everybodyduringthelastlessonisfilledwithregret.Comment.(TheLastLesson) OR Sophielivesinaworldfullofdreamswhichshedoesnotknowshecannotrealise. Comment. 12. Answer the following question in 120 - 150 words : 6 DescribehowSilasMarnerisbetrayedbyhisfriend,WilliamDane. OR Why and how did Griffin rob the Vicar's house? 13. Answer the following question in 120 - 150 words : 'Evilbegetsevil.'Inthelightofthisremark,describethecharacterofDunstanCass. OR Attempt a character sketch of Mrs. Hall. Download From: http://www.cbseportal.com
  • 41. 25 Marking Scheme — English Core General Instructions : 1. Evaluation is to be done as per instructions provided in the Marking Scheme only. 2. The Marking Scheme provides suggested value points and not the complete answers. 3. Ifaquestionhasparts,marksmustbeawardedontherighthandsideforeachpart.Marks awardedtodifferentpartsofaquestionshouldthenbetotalledup,writtenandencircledin the left hand margin of the answers concerned. 4. If a question does not have any parts, marks for that question must be awarded in the left- handmarginoftheanswer. 5. WheremarksareallottedseparatelyforcontentandexpressionaspertheMarkingScheme, they have to be reflected separately and then totalled up.This is mandatory. 6. A slash (/) in the Marking Scheme indicates alternative answers(s) to a question. If a studentwritesananswerwhichisnotgivenintheMarkingSchemebutwhichseemstobe equallyacceptable,marksmustbeawardedinconsultationwiththeHead-Examiner. 7. If a child has attempted an extra question, the answer deserving more marks should be retained and the other answer be scored out. 8. Q1 and Q2 under SectionA(Reading) and Q8 under Section C (Text Books) have been designedtoteststudents’abilitytocomprehendthegivenpassage.Assuchtheexaminees need not to be unnecessarily penalised for their language errors. 9. Where questions have been designed to test the writing skills of students, the expression (grammatical accuracy, appropriate use of words, style, spelling, organization and presentationofrelevantmatterinacoherentandlogicalway)assumesasmuchimportance as the content. 10. Identifymajormistakesandshortcomingsbeforeawardingmarks. 11. Wherever the word limit is given, no marks be deducted for exceeding it. However, due credit should be given for precise answers. 12. If a student, in response to a short-answer-type question, writes a single word / phrase answer which constitutes the core of the answer, it must be accepted and awarded marks. Download From: http://www.cbseportal.com
  • 42. 26 13. Ifastudentliterallyliftsaportionofthegivenpassage/extractfromthequestionpaperas an answer to a question, no mark(s) to be deducted on this count as long as it is relevant andindicativeofthedesiredunderstandingonthepartofthestudent[referencequestions under Q1, Q2 and Q8]. 14. Thequestionnos.12and13,basedonthenovels"TheInvisibleMan"and"SilasMarner" are being asked for the first time. It is suggested that the examiners be considerate while awardingmarks. 15. A full scale of marks - 0 to 100 - is to be used while awarding marks. In case of an answer book deserving 90 marks and above, marks be awarded only in consultation with the HeadExaminer. 16. As per orders of the Hon'ble Supreme Court, a candidate would now be permitted to obtain photocopy of the answer book on request on payment of the prescribed fee.All examiners/headexaminersareonceagainremindedthattheymustensurethatevaluationis carried out strictly as per value points for each answer as given in the Marking Scheme. [FOR THE HEAD EXAMINERS ONLY] 1. AnswerscriptsmustbegiventotheevaluatorsforevaluationonlyafterthegivenMarking Schemehasbeenthoroughlydiscussedwiththemcollectivelyorindividually.Noexceptions, please. 2. TheHeadExaminerisrequiredtogothroughthefirstfiveevaluatedanswerscriptsofeach examiner scrupulously to ensure that the evaluator concerned has evaluated the answer scripts as per the instructions provided in the Marking Scheme. 3. TheHeadExaminerisexpectedtoexaminetheanswercontainingthevaluepointsthathas notbeenprovidedintheMarkingSchemebuttheevaluatorfindsitequallycorrectforthe purposeofawardingmarksandgivehis/herdecisionwhichwillbebindingontheevaluator. 4. ItistheboundendutyofeachandeveryHeadExaminertodotherandomcheckingalong with the answer books which deserve 90 marks and above, as reported by individual evaluators.Thefinaldecisioninthisregard,however,willrestwiththeHeadExamineronly. 5. The following marks(s) range answer scripts must be included in 10% For H.E.'S 88AndAbove 72-74 28-32 Download From: http://www.cbseportal.com
  • 43. 27 QUESTION PAPER CODE 1/1/1 EXPECTEDANSWERS/VALUE POINTS SECTIONA: (READING) 20 Marks 1 COMPREHENSION PASSAGE NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling, orwordlimit.Fullmarksmaybeawardedifastudenthasbeenabletoidentifythe core ideas. If a student literally lifts a portion of the given passage as an answer to a question, no mark(s) to be deducted for this as long as it is relevant. (a) (iv) 1 mark (b) (i) 1 mark (c) (ii) 1 mark (d) anyoneofthefour options 1 mark (e) that this is the place where Christ was removed from the cross 1 mark (f) - to venerate the place of burial 1 mark - to protect the Holy Sepulchre - toshowhisofficialrecognitionandrespectforChristianity - theoriginalburialsitedestroyedbycontinuousattacksandrebuilding (anyone) (g) - not interested in the history or tradition of the place 1 mark - interestedinthenoveltyoftheplaceandinphotographingit - cluelessaboutdirectionsandlocationsofimportantsites (anyone) (h) - Archaeologistshavediscoveredtombsfromthatera.Thisiscompatible 1 mark withThebiblicalperiodwhichsaysthatJesus'crucifixionoccurredat theplaceoutsidethecitywallswithgravesnearby Download From: http://www.cbseportal.com
  • 44. 28 (i) - a low door leads to a narrow, smaller chamber inside 1 mark - a large marble slab covers the original rock bench on which the body of Jesus was laid, this makes the chamber very narrow - people enter in a single file to pray at the tomb (anyone) (j) - feltembarrassed 1 mark - didn't want to be seen crying by others - Like a true Christian she felt overwhelmed as Jesus was buried there, whileothersseemedunconcerned. (anyone) (k) i) tomb 1 mark ii) non-descript 1 mark 2 COMPREHENSION PASSAGE NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling, or word limit. Full marks may be awarded if a student has been able to identity the core ideas. If a student literally lifts a portion of the given passage as an answer to a question, no mark(s) to be deducted for this as long as it is relevant. (a) (iv) anyoneofthefouroptions 1 mark (b) (iv) anyoneofthefouroptions 1 mark (c) - we look for whatever makes our heart happy, gives comfort to our 1 mark body and peace to the mind / modern amenities, luxuries and comforts - wethinkthatexternalsolutionswillfulfilourneeds - we do not want to make any special effort even in our spiritual search - pilgrimageshavebecometourismopportunities/picnics (anyone) Download From: http://www.cbseportal.com
  • 45. 29 (d) - we tamper with our own nature and with that of the Supreme 1 mark - weseekcomfort,luxuryandindulgence - we become complacent - we travel with a large group consisting of our relatives, friends and associates - insteadofspiritualupliftment,ouregosgetaboost - wefailtounderstandthegraceandsignificanceofapilgrimage - wedon'taimatspiritualupliftment (anyone) (e) - we often make all things around us the way we want them 1 mark - wethinkthatexternalsolutionswillfulfilourneedsthereforewedonot makeanyspecialeffortseveninourspiritualsearch - our mind is resourceful - it works to find shortcuts in simple and easy ways - we have distorted traditions according to our conveniences (anyone) (f) - we have to face the fierce blows / harsh treatment from nature 1 mark - itsfurycanwashawayallimperfections - clevernessrenderedineffective (anyone) (g) - created a feeling of belonging towards all / conveyed a message of 1 mark brotherhood - conductedthedharmaoftheirpilgrimage - took it as a penance or sadhana to stay near nature and to experience afeelingofonenesswithit Download From: http://www.cbseportal.com
  • 46. 30 - keptthebodyhealthyandfulfilledwithfrugalmeals - sought freedom from attachments and yet remain happy away from relativesandassociates - sawitasamediumofspiritualevolution - didnottrytopamperthemselveswithluxuriesandmaterialcomforts - took it as a path to peace and knowledge (anyone) (h) - apilgrimageissymbolicofcontemplation,meditationandacceptance 1 mark - a metaphor for the constant growth or movement and love for nature that we should hold in our hearts - nottotreatapilgrimagelikeapicnic - toobserveausterityinordertoexperiencespiritualupliftment - pilgrimage must be treated as a path to peace and knowledge - tounderstandthegraceandsignificanceofapilgrimage - topromotebrotherhoodthroughapilgrimage (anyone) (i) i) rendered 1 mark ii) complacent 1 mark 3 Note If a student has attempted only summary or only notes, due credit should be given. I mark allotted for the title be given, even if a student has written the title either in Q3(A) or Q3(B) Content must be divided into headings and sub-headings Download From: http://www.cbseportal.com
  • 47. 31 Thenotesprovidedbelowareonlyguidelines.Anyothertitle,mainpointsandsub- pointsmaybeacceptediftheyareindicativeofthecandidate'sunderstandingofthe givenpassage,andthenotesincludethemainpoints,withsuitableandrecognizable abbreviations. Complete sentences are not to be accepted as notes. Numbering of points may be indicated in different ways, as long as a consistent patternisfollowed. (A) NOTE MAKlNG DistributionofMarks Abbreviations / Symbols (with /without key) - any four 1 mark Title 1 mark Content(minimum3headingsandsub-headings,withproperindentation 3 marks and notes) Suggested Notes NOTE: Accept the notes and summary in the third person. Also accept them written in the first person provided the format is correct and content is covered properly. Title: ArtofListening/Hearingvs.Listening/anyotherrelevanttitle 1 Differenceb/wHearing&Listening 1.1 hearingdiff.fromlistening 1.2 hearing-phy 1.2.1 soundwaves 1.2.2 maynotunderstand 1.3 listening-fullattention 1.3.1 applyingmind Download From: http://www.cbseportal.com
  • 48. 32 2 BarrierstoListening/Obstacles 2.1 prejudices!preconceivednotions 2.2 pretendtolisten 2.3 sitinjudgement 2.4 -ivemind-set 3 BenefitsofListening/Benefits/Advantages 3.1 fullawareness&conc. 3.2 suspendjudgement 3.3 speakyourmind 4 ImportanceofListening 4.1 perfectcommunication 4.2 improveinterpersonalrelationships 4.3 notension/negativity 4.4 understand unspoken words 4.5 reducemisunderstanding (B) Summary Thesummaryshouldincludealltheimportantpointsgiveninthenotes. Content 2 marks Expression 1 mark SECTION B: ADVANCED WRITING SKILLS NOTE: The objective of the section on Advanced Writing Skills is to test a candidate's writing ability. Hence, expression assumes as much importance as the content of the answer. Download From: http://www.cbseportal.com
  • 49. 33 4 NOTICE Format 1 mark The format should include: NAME OF THE INSTITUTION (ISSUING AUTHORITY) / NOTICE / TITLE, DATE, and WRITER'S NAME WITH DESIGNATION. The candidate should not be penalized if he has used capital lettersforwritinganoticewithinorwithoutabox. Content 2 marks Expression 1 mark Suggested value points [FLOWER SHOW] - what - flower show - when - February - where - central park of the city - for whom - students and teachers - advisingthemtogoandenjoyit - anyotherrelevantdetails OR Suggested value points [BOOKS FOR NEEDY STUDENTS] - what - books for needy students - by whom - Sarvodaya Education Society / a charitable organisation - when - day, date - how - drop the lists of books they need in the box outside the Principal's office - lastdate(optional) - anyotherrelevantdetails Download From: http://www.cbseportal.com
  • 50. 34 5 LETTERWRITING [Note: - No marks are to be awarded if only the format is given. Credit should be givenforthecandidate'screativityinpresentationof ideas.Useofboththetraditional and the new format is permitted.] Format 1 mark 1.sender'saddress,2.date,3.receiver'saddress,4.subject/heading,5.salutation, 6.complimentaryclose. Content 3 marks Expression 2 marks grammaticalaccuracy,appropriatewordsandspelling [1] coherence and relevance of ideas and style [1] (ILLITERATECHILDREN) Suggested value points theproblem: - some village children in the age group 5-14 remain at home, work in the fieldsorloiterinthestreets - do not receive formal education at school why: - disinterested,indifferentattitudeofchildren,parentsandelders - no incentive to learn / made to work in the fields - nomotivation - noskilllearningatschool solution: - parentsandguardianstotakeinitiative - schoolPrincipalandteacherstomotivateandenrolstudentsofschoolgoing agegroup Download From: http://www.cbseportal.com
  • 51. 35 - emphasisonskilldevelopment - provide free meals, books and uniforms (anyotherrelevantdetails) OR (FAMILYOR FRIEND ON FOREIGN TRIPS) Suggested Value Points theissue:Shouldthecricketteamsbeallowedtotaketheirwives/friendsabroad? yes: - gives emotional support / keeps them free from worries - helps them to concentrate on their game - don'tfeelhomesick - keeps them destressed no: - acts as a distraction - lose focus and don't give their best - becomesafamilyoutingratherthanasportingmission (anyotherrelevantpoints) Yes or no incase of athletes also 6 SPEECH Format(openingaddressandconclusion) 1mark Content 4 marks Expression 5 marks grammaticalaccuracy,appropriatewordsandspelling [2½ ] coherence and relevance of ideas and style [2½1 Download From: http://www.cbseportal.com
  • 52. 36 Suggested Value Points (MOBILE PHONES) Advantages: - multipurposeinstrument-phone,radio,musicplayer,camera,internet,social sites, TV channels etc. hazards: - accidents happen due to carelessness especially on roads and rail tracks - some are fatal - exposure to radiation causes cancer and other complications advice: - usesparinglyandjudiciously,withoutriskingselforothers (anyotherrelevantdetails) OR Suggested Value Points (IMPORT ANCE OF POWER) theissue: - wastage of power at schooland homes due to carelessness and indifference importance: - life conveniences, comforts, essentials, equipment, appliances and gadgets all depend on electric power how to save power - bevigilant,switchofffans,lights,geysers, motor pumps, ACs, TV, radio whennotinuse - appointpowermonitorsinclass - publicrecognitionofstudentswhotakeinitiativeinthisregard Download From: http://www.cbseportal.com
  • 53. 37 - tell parents, friends, neighbours and relatives about the problem and seek theircooperation (any 3 points) (anyotherrelevantdetails) 7 ARTICLEWRITING Format(headingandwriter'sname) 1 mark Content 4 marks Expression 5 marks grammaticalaccuracy,appropriatewordsandspelling [2½] coherence and relevance of ideas and style [2½] Suggested value points: (JOYSAND RESPONSIBILITIES OF BEING EIGHTEEN / any other suitable heading) joys: - finallyacceptanceasanadult - votingrights,gettingadrivinglicence - unlimitedfreedom - enjoyingyouthfuldays - dreams,challenges,opportunities (min3points) responsibilities: - career - maturebehaviourexpected - childishnessdiscouraged Download From: http://www.cbseportal.com
  • 54. 38 - greateraccountability - shoulderingthefamilyandhouseholdresponsibilities (min3points) (anyotherrelevantdetails) OR Suggested value points: (WOMEN SAFETY IN INDIA/ any other suitable heading) presentsituation: - frightening,nosafetyforwomen - recent cases of crime against women (stared at, molested, discriminated against) - casesofdiscriminationatworkplace,home,society solutions: - effectiveimplementationoflawsprotectingwomenrights - strict laws as a deterrence to crime - creatingsocialawareness,boycottofthosewhoindulgeinanycrimeagainst women - self-defencetechniquestobetaughttogirlsandwomeninschools,colleges, officesandresidentialcolonies - bettersurveillancebylawenforcingauthorities (any 4 points) SECTION C: LITERATURE (TEXT BOOKSAND LONG READINGTEXT) NOTE: The objective of the section on Literature is to test a candidate's ability to understand and interpret the prescribed text through short and long answer type Download From: http://www.cbseportal.com
  • 55. 39 questions. Hence both content and expression in answers to the given questions deserveequalimportancewhileawardingmarks. 8 [Thisquestionhasbeendesignedtotestthestudents'understandingofthetextand their ability to interpret, evaluate and respond to the questions based on the given extract. In other words, it attempts to test their reading comprehension ONLY.] Value points: (a) - fear of separation 1 mark - childhoodfear - thatthemotherwasgettingveryold - that her face looked ashen like that of a corpse - fear that she would be alone when the mother died - itmightbetheirlastmeeting (b) - couldn'treconcileherselftothethoughtoflosinghermother 1 mark - she would be left alone / separation from the mother - there were obvious signs that the mother would pass away very soon - she was deeply attached to her mother / had the childhood fear of losinghermother (c) - unpleasantthought/ very painful thought of separation / wasfeeling 1 mark uneasy and disturbed / was going away from the mother and so didn't wanttocarrythethoughtwithher/painfulatthethoughtofseparation (d) simile(likethatofa corpse) 1 mark OR (a) - children of the slum / children of elementary school classroomina 1 mark slum/poorchildren/deprivedchildren (b) - themainstreamsociety/betterlivingconditions/vitality/energy/all 1 mark that the children have been deprived of / happiness / progress Download From: http://www.cbseportal.com
  • 56. 40 (c) - shame / embarrassment / harsh realities of the world of the slums 1 mark inferioritycomplex/problems/depression/malnourished/poverty (d) - simile(like rootless weeds) / repetition (far, far) / metaphor (gusty 1 mark waves)/alliteration(far,far,from) 9 Short answer type questions Distributionofmarks: Content: 2 marks Expression 1 mark (deduct½amarkfortwoormoregrammatical/spellingmistakes) Value points: (a) who: 3 marks thevillagepeople(oldHauser,theformermayor,theformerpostmasterand severalothers)/thevillagers why: - to pay respect to the teacher for his faithful service / also to show respectforthecountrythatwastheirsnomore/biddingfarewelltothe teacherandlanguage/feelingofregretfornothavinglearntthelanguage (b) - It was safe. 3 marks - It was only 2-3 feet deep at the shallow end and nine feet deep at the other end. - The drop was gradual. - The Yakima river was treacherous. / Many drownings had already happened there. (any2) (c) - time for introspection / create anexotic moment of togetherness / save 3 marks theworldfromdisastersandwars/giveusanopportunitytounderstand Download From: http://www.cbseportal.com
  • 57. 41 each other and save ourselves from death / time to express oneness withnature/inharmonywithnature (any2) (d) - becomes a joy forever / provides eternal joy / uplifts one's mood / never 3 marks fades away - itslovelinesskeepsonincreasing - provides a pleasant and quiet place (a bower quiet for us) - a sleep full of sweet dreams and health and quiet breathing - makes life worth living in spite of despondence, inhuman dearth of noble natures, gloomy days, unhealthy and over darkened ways - it removes the pall from our dark spirits (any2) (e) - (Open ended question - either of the two endings should be accepted) 3 marks Jo's - wanted a happy ending to the story / wanted the skunk to smell likerosessothathecouldplaywiththeotheranimals/uglinesshasno place in a child's world / peer acceptance is very important for them / child'spointofview/freedomofchoice Jack - wanted the skunk to have its original smell / didn't want the wizard to hit the mother / aimed at teaching an important lesson that parents are the best judge / adult perspective / acceptance of oneself (f) - the governor could have brought the police force with him fromthe 3 marks prisonitself - hecouldhavetravelledinthevanhimselfwithEvanstotakehimtothe prison - shouldhavecheckedthecredentialsoftheofficialsescortinghimtothe prison (any 2) Download From: http://www.cbseportal.com
  • 58. 42 Q10&11[Thesequestionshavebeensettotestthestudents'understandingofthe text and their ability to interpret, evaluate and respond to the issues raised therein. Hence no particular answer can be accepted as the only correct answer. All presentations may be accepted as equally correct provided they have been duly supported by the facts drawn from the text. The important thing is that the student shouldbeabletojustifyhisorherviewpoint.] 10 Distributionofmarks: Content 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½] . coherence and relevance of ideas and style [1½] Value points: EvilsofBribery - Tiger King's desire to prove the astrologers wrong - vowedtokillonehundredtigerstoensurehislongevity - huntingoftigersprohibitedinhiskingdom - TheBritishofficerwasalsonotallowedtohunt. - throne at stake - offerofdiamondringstotheofficial'swife - cost him 3 lacs but saved his crown (any 3 points) student's response to this situation with logical reasoning OR Dr Sadao - a patriotic Japanese - marriedaJapanesewithhisfather'spermission Download From: http://www.cbseportal.com
  • 59. 43 - lovedhiscountry - savedthelifeoftheGeneralbyoperatingonhim - informed the General about the American sailor: how he had saved him, requested the General to do whatever was necessary in the matter - agreedtothearrangementofgettingtheAmericansailorkilledbyprofessional assassins sent by the General - informed the General about theAmerican's escape (any 3 points) a dedicated surgeon - treatedtheenemysoldier,savedhislife - faceddifficultiesathomefromhiswifeandservants - endangeredhisownlifeandthatofhisfamily - savedthelifeoftheGeneralbyoperatingonhim - did not let national prejudice override his duties as a doctor (any 3 points) 11 Distributionofmarks: Content: 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½] coherence and relevance of ideas and style [1½] Value Points: DifficultiesfacedbythebanglemakersofFirozabad - longhoursofworkneartheglassfurnaceswithhightemperatures - toliveindingyroomswithoutairandlight Download From: http://www.cbseportal.com
  • 60. 44 - health problems - lose eyesight at a young age - remainuneducated - housesarehovelswithcrumblingwalls,wobblydoors,nowindows,crowded withfamiliesofhumansandanimalscoexistinginaprimevalstate - extremepovertyinspiteofmindnumbingtoil(hardwork) - vicious cycle of exploitation by middlemen, money lenders, police and bureaucrats - no leader to raise their problems - faceapathyandinjusticealltheirlives - cannotevenorganisethemselvesintoacooperativeastheyfearthatitmight betreatedasbeingillegal - burdened by the stigma of the caste in which they are born - noinitiativeordaringleftintheirlives (anyotherrelevantpoint) (any3) OR The Ironmaster invited the peddler as a former comrade or colleague. / did not insistmuch Peddler afraid to go to the manor house as he had stolen money from the crofter Edla: - morepersuasive - firmyetpolite - sympathisedwithhimforthehardtimehewasfacing - assuredhimthathewasfreetoleavewheneverhedesiredaftertheChristmas celebration was over - wonhisconfidencewithherpolite,compassionateandsympatheticattitude (any3) Download From: http://www.cbseportal.com
  • 61. 45 Q12 & Q 13 - Long Reading Text - Silas Marner / The Invisible Man [NOTE: Accept any answer that correlates with the novel and seems relevant] 12 Distributionofmarks: Content: 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½ ] coherence and relevance of ideas and style [1½ ] Value Points: SilasMarnerbetrayedbyhisfriend,WilliamDane - sharedthesamereligioussectinLanternYard - WilliamDaneframedSilasMarner - emptybagfoundinSilas'room - knifefoundatthecrimescene - married Silas Marner's beloved / fiancee - withdeaconfallingill-SilasMarnerlookingafterhim - deacon died during Silas Marner's turn - ironic that he was accused of a crime and sin when he was doing a sacred duty to the church OR - Griffin's appearance (wrapped up from head to toe, the brim of his hat hid everyinchofhisface) - arrivedonawinterdaythroughabitingwindanddrivingsnow - walkedallthewayfromBramblehurstrailwaystation Download From: http://www.cbseportal.com
  • 62. 46 - withoutmuchintroductionhetookupquartersintheinn - staysaloof - looks strange with a muffled and bandaged head - snubs Mrs Hall when she tries to be friendly - keepstohisroom-mostlytalkingtohimself - TheinvisiblemanisrudewithTeddyHenfreyandaskshimtoleavetheroom - Teddy spreads rumours - he tells Mr Hall - the invisible man wanted by police / wrapped to conceal identity - dog tears his trousers - Fearenside sees absence of pink flesh, says either a black man or piebald - Mrs Hall sees him without a hat / He quickly covers his mouth when she enters - terrorises Cuss by showing empty sleeves and tweaking his nose with an invisiblehand (min3) 13 Distributionofmarks: Content: 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½] coherence and relevance of ideas and style [1½] (deduct ½ a mark for two or more grammatical/spelling mistakes) Value points: DollyWinthrop - wifeofthewheelwright,BenWinthropandmotherofAaron Download From: http://www.cbseportal.com
  • 63. 47 - DollytakesuponherselftohelpSilas - raisesEppie - believesincustomsandtraditions - persuades Silas to trust in God always and go to church - mainstream of sociallife - DollylaterbecomesEppie'sgodmotherandmother-in-law - iskindandpatient - devoutlyreligious - openandfriendly - friendandguidetoSilasMarner - helpsinthereorientationofSilasMarner (any3) Marvel - poor, homeless, jobless, wanderer, a tramp, wearing shabby, old fashioned clothes/beardedplumpandshortlimbs/harmless/simple/noseofcylindrical protrusion - wears a shabby obsolete hat, shoelaces substitute for button - air of abandon and eccentricity about him / does everything in a leisurely manner/Griffinconsidershimstupid - unwillingtoworkfortheinvisibleman - drinksalotandwhenhehearstheinvisiblemanhethinksitisduetothedrink - practical man - accedes to Griffin's request as he realises that the latter is a man of power - Griffinthinksheisstupidandmakeshimthevictimofhismanipulations - firstvisiblepartnerandcompaniontotheinvisibleMan Download From: http://www.cbseportal.com
  • 64. 48 - fear of injury makes him a puppet carrying out orders - carriesscientificnotesandalargesumofmoneyfortheinvisibleman - heissmartenoughtotakeprotectioninthecell/jailtosavehimselfformthe invisibleman - wheninvisibleman'sretaliationturnsagainstDrKemp,Marvelissaved - smart, knows what advantages to take from the situation - gets all the money - keeps the books - becomes owner of an inn - onlyonewhoisbenefittedfromassociationwithGriffin (any 3) QUESTION PAPER CODE 1/1 EXPECTEDANSWERS/VALUE POINTS SECTIONA: (READING) 20 Marks 1 COMPREHENSION PASSAGE NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling, orwordlimit.Fullmarksmaybeawardedifastudenthasbeenabletoidentifythe core ideas. If a student literally lifts a portion of the given passage as an answer to a question, no mark(s) to be deducted for this as long as it is relevant. (a) (iv) 1 mark (b) (i) 1 mark (c) (ii) 1 mark (d) anyoneofthefour options 1 mark (e) that this is the place where Christ was removed from the cross 1 mark (f) - to venerate the place of burial 1 mark - to protect the Holy Sepulchre Download From: http://www.cbseportal.com
  • 65. 49 - toshowhisofficialrecognitionandrespectforChristianity - theoriginalburialsitedestroyedbycontinuousattacksandrebuilding (anyone) (g) - not interested in the history or tradition of the place 1 mark - interestedinthenoveltyoftheplaceandinphotographingit - cluelessaboutdirectionsandlocationsofimportantsites (anyone) (h) - Archaeologistshavediscoveredtombsfromthatera.Thisiscompatible 1 mark withThebiblicalperiodwhichsaysthatJesus'crucifixionoccurredat theplaceoutsidethecitywallswithgravesnearby (i) - a low door leads to a narrow, smaller chamber inside 1 mark - a large marble slab covers the original rock bench on which the body of Jesus was laid, this makes the chamber very narrow - people enter in a single file to pray at the tomb (anyone) (j) - feltembarrassed 1 mark - didn't want to be seen crying by others - Like a true Christian she felt overwhelmed as Jesus was buried there, whileothersseemedunconcerned. (anyone) (k) i) tomb 1 mark ii) non-descript 1 mark 2 COMPREHENSION PASSAGE NOTE:Nomark(s)shouldbedeductedformistakesinusageandgrammar,spelling, or word limit. Full marks may be awarded if a student has been able to identity the core ideas. If a student literally lifts a portion of the given passage as an answer to a question, no mark(s) to be deducted for this as long as it is relevant. Download From: http://www.cbseportal.com
  • 66. 50 (a) (iv) anyoneofthefouroptions 1 mark (b) (iv) anyoneofthefouroptions 1 mark (c) - we look for whatever makes our heart happy, gives comfort to our 1 mark body and peace to the mind / modern amenities, luxuries and comforts - wethinkthatexternalsolutionswillfulfilourneeds - we do not want to make any special effort even in our spiritual search - pilgrimageshavebecometourismopportunities/picnics (anyone) (d) - we tamper with our own nature and with that of the Supreme 1 mark - weseekcomfort,luxuryandindulgence - we become complacent - we travel with a large group consisting of our relatives, friends and associates - insteadofspiritualupliftment,ouregosgetaboost - wefailtounderstandthegraceandsignificanceofapilgrimage - wedon'taimatspiritualupliftment (anyone) (e) - we often make all things around us the way we want them 1 mark - wethinkthatexternalsolutionswillfulfilourneedsthereforewedonot makeanyspecialeffortseveninourspiritualsearch - our mind is resourceful - it works to find shortcuts in simple and easy ways - we have distorted traditions according to our conveniences (anyone) (f) - we have to face the fierce blows / harsh treatment from nature 1 mark Download From: http://www.cbseportal.com
  • 67. 51 - itsfurycanwashaway allimperfections - clevernessrenderedineffective (anyone) (g) - created a feeling of belonging towards all / conveyed a message of 1 mark brotherhood - conductedthedharmaoftheirpilgrimage - took it as a penance or sadhana to stay near nature and to experience afeelingofonenesswithit - keptthebodyhealthyandfulfilledwithfrugalmeals - sought freedom from attachments and yet remain happy away from relativesandassociates - sawitasamediumofspiritualevolution - didnottrytopamperthemselveswithluxuriesandmaterialcomforts - took it as a path to peace and knowledge (anyone) (h) - apilgrimageissymbolicofcontemplation,meditationandacceptance 1 mark - a metaphor for the constant growth or movement and love for nature that we should hold in our hearts - nottotreatapilgrimagelikeapicnic - toobserveausterityinordertoexperiencespiritualupliftment - pilgrimage must be treated as a path to peace and knowledge - tounderstandthegraceandsignificanceofapilgrimage - topromotebrotherhoodthroughapilgrimage (anyone) (i) i) rendered 1 mark ii) complacent 1 mark Download From: http://www.cbseportal.com
  • 68. 52 3 Note If a student has attempted only summary or only notes, due credit should be given. I mark allotted for the title be given, even if a student has written the title either in Q3(A) or Q3(B) Content must be divided into headings and sub-headings Thenotesprovidedbelowareonlyguidelines.Anyothertitle,mainpointsandsub- pointsmaybeacceptediftheyareindicativeofthecandidate'sunderstandingofthe givenpassage,andthenotesincludethemainpoints,withsuitableandrecognizable abbreviations. Complete sentences are not to be accepted as notes. Numbering of points may be indicated in different ways, as long as a consistent patternisfollowed. (b) NOTE MAKlNG DistributionofMarks Abbreviations / Symbols (with /without key) - any four 1 mark Title 1 mark Content(minimum3headingsandsub-headings,withproperindentation 3 marks and notes) Suggested Notes NOTE: Accept the notes and summary in the third person. Also accept them written in the first person provided the format is correct and content is covered properly. Title: ArtofListening/Hearingvs.Listening/anyotherrelevanttitle 1 Differenceb/wHearing&Listening 1.1 hearingdiff.fromlistening Download From: http://www.cbseportal.com
  • 69. 53 1.2 hearing-phy 1.2.1 soundwaves 1.2.2 maynotunderstand 1.3 listening-fullattention 1.3.1 applyingmind 2 BarrierstoListening/Obstacles 2.1 prejudices!preconceivednotions 2.2 pretendtolisten 2.3 sitinjudgement 2.4 -ivemind-set 3 BenefitsofListening/Benefits/Advantages 3.1 fullawareness&conc. 3.2 suspendjudgement 3.3 speakyourmind 4 ImportanceofListening 4.1 perfectcommunication 4.2 improveinterpersonalrelationships 4.3 notension/negativity 4.4 understand unspoken words 4.5 reducemisunderstanding (b) Summary Thesummaryshouldincludealltheimportantpointsgiveninthenotes. Content 2 marks Expression 1 mark Download From: http://www.cbseportal.com
  • 70. 54 SECTION B: ADVANCED WRITING SKILLS NOTE: The objective of the section on Advanced Writing Skills is to test a candidate's writing ability. Hence, expression assumes as much importance as the content of the answer. 4 ADVERTISEMENT Content 3 marks Expression 2 marks Suggested value points [SITUATION VACANT / CANTEEN MANAGER] - post advertised - canteen manager - educationalqualification - professionalqualification - age,experience - otherqualitiesrequired - salary / perks offered - who to apply - Principal,Akash Public School - how to apply - lastdateforapplying - anyotherrelevantdetails (min4points) (due credit should be given for economy of words used) OR NOTICE Format 1 mark The format should include: NAME OF THE INSTITUTION (ISSUING AUTHORITY) / NOTICE / TITLE, DATE, and WRITER'S NAME WITH Download From: http://www.cbseportal.com
  • 71. 55 DESIGNATION. The candidate should not be penalized if he has used capital lettersforwritingthenoticewithinorwithoutabox. Content 2 marks Expression 1 mark Suggested value points [INTERCLASS SINGING COMPETITION] - what-interclasssingingcompetition - where -Akash Public School/venue - when - day, date, time - lastdateofsubmissionofentries - to be given to whom / contact details - anyotherrelevantdetails 5 LETTERWRITING [Note: - No marks are to be awarded if only the format is given. Credit should be givenforthecandidate'screativityinpresentationof ideas.Useofboththetraditional and the new format is permitted.] Format 1 mark 1.sender'saddress,2.date,3.receiver'saddress,4.subject/heading,5.salutation, 6.complimentaryclose. Content 3 marks Expression 2 marks grammaticalaccuracy,appropriatewordsandspelling [1] coherence and relevance of ideas and style [1] (LETTER TOTHE EDITOR- CORBETT NATIONALPARK) Suggested value points - tourism-largestindustryworldwide Download From: http://www.cbseportal.com
  • 72. 56 - adding to the degradation of parks - harmsenvironmentinmanyways - tramplingvegetation - litteringinplaces - disturbingwildlife - vehicles parked in prohibited areas (any 3 points) solution: - limitingvisitors/vehicles - educatingtouristsontheissue - takinghelpofthelocalpeople - penaltyforabuseoffacilities,laws - increaseinpatrollingbyforestguards - increasestaffandstricterimplementation - limitnoisepollution - useofnonpollutingfuel (any 3 points) (anyotherrelevantdetails) OR (LETTER TO THE EDITOR-EXPLOITATION OF TEACHERS) Suggested Value Points - privateschoolsbecomingbusinessminded - notenoughappreciationforteacher'scontribution - payfractionoftheirauthorisedsalaries Download From: http://www.cbseportal.com
  • 73. 57 - no perks and allowances - leads to demotivation and loss of interest in work - affectsperformanceinclassroom - difficulttogetandretainqualityteachers Suggestions: - government to ensure that such schools pay salaries -as per govt. fixed pay scales - schoolauthoritiestobemorehumane - good salary will draw good and competent teachers - paymentthroughbanks - governmentagencytomonitorsalaryandperks (anyotherrelevantpoints) 6 DEBATE Format(openingaddressandconclusion) 1mark Content 4 marks Expression 5 marks grammaticalaccuracy,appropriatewordsandspelling [2½ ] coherence and relevance of ideas and style [2½1 Suggested Value Points FOR - dissectioncruelandunpleasant - teacheschildrentoabuseanimals - unethical - drugs that pass animal tests are not necessarily safe Download From: http://www.cbseportal.com
  • 74. 58 - animals stock piled on top of one another, shipped in crowded containers with no temperature regulation, food or water - negativeimpactonbio-diversity - ecologicalimbalance - animaldissectioncanbereplacedusingvirtuallabsandmodels AGAINST - willhamperanatomylessons - willproducegenerationsofresearcherswithoutappropriatelabskills - willnotgivestudentshandsonexperience - necessary prelude to further research - hasscientificandeducationalpurpose - organs and other matter can be fully examined and described (anyotherrelevantdetails) OR Suggested Value Points FOR - mediaplaysamajorroleinourlives - adventofelectronicmediafacilitateseasyunderstanding - useofvisualsmoreattractive - easier to grab people's attention - helpfultoilliteratepeople - reaches out to thousands and lakhs of people at the same time - e-rnedia is faster - environmentfriendly Download From: http://www.cbseportal.com
  • 75. 59 AGAINST - newspaper is dependable - authenticandgenuine - editorialcommentshelpful - electronicmediaisnotviableinplaceswithfrequentpowercuts - newspaper cheaper (anyotherrelevantdetails) 7 ARTICLEWRITING Format 1 mark Content 4 marks Expression 5 marks grammaticalaccuracy,appropriatewordsandspelling [2½] coherence and relevance of ideas and style [2½] Suggested value points: (RAGGING,ANEVIL/ any other suitable heading) - practicefromtheBritishera - originalaim,respectforhierarchy - enforcingtraditions,discipline - prefect - a teacher substitute - misuseofauthority - psychologicaltraumaforfreshers - riskslife/leadstofatalities - stringentlawsandpunishments Download From: http://www.cbseportal.com
  • 76. 60 - actionagainststudentsindulginginragging - sensitisationontheissue - moreactivitiesinvolvingseniorsandjuniors (anyotherrelevantpoint) OR Suggested value points: (TOURISM POTENTIAL IN INDIA / any other suitable heading) - placeofworship-religioustourism - foreigners-placesofhistoricalinterest - therich - hillstationsduringsummers - the sun-kissed beaches in winters - leisuretourism - medicaltourism-worldclasshospitals (anyotherrelevantpoints) SECTION C: LITERATURE (TEXT BOOKSAND LONG READINGTEXT) NOTE: The objective of the section on Literature is to test a candidate's ability to understand and interpret the prescribed text through short and long answer type questions. Hence both content and expression in answers to the given questions deserveequalimportancewhileawardingmarks. 8 [Thisquestionhasbeendesignedtotestthestudents'understandingofthetextand their ability to interpret, evaluate and respond to the questions based on the given extract. In other words, it attempts to test their reading comprehension ONLY.] Value points: (a) - movement of trees backward as the car moves ahead 1 mark Download From: http://www.cbseportal.com
  • 77. 61 (b) - toseeherbeforedeparting / her feeling of anxiety and insecurity / 1 mark love for her mother makes her look at her mother again (c) - observed her pale unhealthy appearance/ resembling the latewinter 1 mark moon (d) - simile(asalatewinter'smoon) 1 mark OR (a) - thepoor/impoverishedchildrenoftheslums 1 mark (b) - thesluminwhichtheyareliving/wastematerialheap/unwanted 1 mark (c) - physicallyweak/malnourished/impoverished 1 mark (d) - too poor to afford spectacles / shattering of dreams 1 mark 9 Short answer type questions Distributionofmarks: Content: 2 marks Expression 1 mark (deduct½amarkfortwoormoregrammatical/spellingmistakes) Value points: (a) For elders - means of survival 3 marks For children - wrapped in wonder/ they expect to get a coin / gives them thehopeoffindingmore (b) came from Champaran to Lucknow to speak to Gandhi / accompanied 3 marks Gandhi everywhere / to Cawnpore ashram and then Calcutta (c) - people pursue their goals single-mindedly on keeping theirlives 3 marks moving - wouldbebetteriftheygivethemselvessometimeforrest - keepquiet-willhelpwhentheyaresad/don'tunderstandthemselves /threatenthemselveswithdeath Download From: http://www.cbseportal.com
  • 78. 62 - silenceisproductiveandstillnessisprogress - howearthseemsstillbutnurtureslifeunderapparentstillness (any2) (d) - sun / moon / trees - old and young / daffodils / sheep / forests / rills / 3 marks forest brake / musk rose / tales / grandeur of the dooms (any4) (e) - vows to kill a hundredtigerstoensurehislongevity/assoonashe was 3 marks born, astrologers had foretold that one day the Tiger King would be killedbyatiger (f) - motionlesswithhisfaceinthesand 3 marks - unconscious - withagunwoundontherightsideofhislowerbackwhichhadreopened /fleshblackenedwithgunpowder Q10&11[Thesequestionshavebeensettotestthestudents'understandingofthe text and their ability to interpret, evaluate and respond to the issues raised therein. Hence no particular answer can be accepted as the only correct answer. All presentations may be accepted as equally correct provided they have been duly supported by the facts drawn from the text. The important thing is that the student shouldbeabletojustifyhisorherviewpoint.] 10 Distributionofmarks: Content 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½] . coherence and relevance of ideas and style [1½] Value points: - prediction-thehundredthtigerwouldkillhim Download From: http://www.cbseportal.com
  • 79. 63 - everyactionoftheTigerKingguidedbytheprediction - huntinginnocentanimals - marriage - bribe - taxes - death caused by his own actions OR - Sadaobelievedinprofessionalloyaltyandhumankindness - ran the risk of being punished for saving anAmerican P.O.W. - dilemma - to be a patriot or a traitor - surgeoninhiminstinctivelyinspireshimtooperateuponthedyingman/save him - hissentimentalityforthesufferingandwoundedhelphimriseabovenarrow national prejudices and extend help and services to an enemy - as a patriot reported the prisoner's presence at his house to the General - keepinghisintegrityasaJapanese - endingofthestoryhighlightshumanitarianattitudeofSadao - waited for the assassin to come 11 Distributionofmarks: Content: 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½] coherence and relevance of ideas and style [1½] Value Points: RegretinFranz - wished he had attended classes more often Download From: http://www.cbseportal.com
  • 80. 64 - paidmoreattention - foundlessonsmoreinteresting Thevillagepeopleregretted - theyhadpaidlessheedtolearningtheirlanguage - for not letting their wards go to school more often M.Hamel - forsendinghisstudentstowaterflowers - givingstudentsaholidaywhenhewantedtogofishing OR - Sophieisayounggirlfullofdreams - incurabledreamer - an escapist from the real world - alldreamsanddisappointmentsarefigmentsofherownimagination - comesfromalowermiddleclassfamily - earmarkedforthebiscuitfactory,dreamsofopeningaboutique,becominga fashion designer or an actor Q12 & Q 13 - Long Reading Text [NOTE: Accept any answer that correlates with the novel and seems relevant] 12 Distributionofmarks: Content: 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½ ] coherence and relevance of ideas and style [1½ ] Download From: http://www.cbseportal.com
  • 81. 65 Value Points: - WilliamDaneisaschemingperson - became friends with Silas Marner because they shared the same religious sect in LanternYard - framedSilas - SilasaccusedofthecrimeastheemptybagwasfoundinSilas'roomandhis knifewasfoundatthecrimescene.Silas'knifehadbeenwithWilliam - Williamwantedtogetrichquickly,stoleSilas'fiancee - with deacon falling ill, he sees his opportunity and works out a plan to do both - frames Silas and manages to marry Sarah / Silas' fiancee OR - at four o'clock - early morning - vicar and wife hear noises and a violent sneeze - something snapped - drawer opened - rustle of papers - matchstruck-studyroomfloodedwithyellowlight - sound of money gone from drawer - kitchendoorslammed - get to know about it through the vicar and his wife 13 Distributionofmarks: Content: 3 marks Expression 3 marks grammaticalaccuracy,appropriatewordsandspelling [1½] coherence and relevance of ideas and style [1½] (deduct ½ a mark for two or more grammatical/spelling mistakes) Download From: http://www.cbseportal.com
  • 82. 66 Value points: Dustan Cass - squire'syoungestson - cruel / lazy / manipulative / greedy - ready to say anything to get what he wants - blackmailshisbrotherGodfrey(threatenstorevealthelatter'ssecretmarriage) - forces his brother to sell off his favourite horse, 'Wildfire' and strikes a good bargainwithBryce - hisgreedgetstheanimalkilled - sees Silas' cottage - wants to borrow but steals Silas' money - vanishes - his corpse is found later when stone-pits drained - he had fallen into a quarry full of water and drowned OR Character sketch of Mrs Hall Businesswoman - wifeofMrHall - owner of the Coach and Horses Inn - down to earth Greedy - sincethestrangerhadcompensatedforhismesssoshedefendshimbycalling himanexperimentalinvestigator - standsherground-scaredbutconfrontsGriffin(andsayshemustcomeonly throughdoorwhenshesuspectsthelatter'sinvolvementintheburglary) - practical-disciplinedbyyearsofexperience,remainedinthebarnexttothe tillandsupressedhercuriosity - used to making her decisions - expected nothing from her husband Download From: http://www.cbseportal.com
  • 83. 67 ENGLISH ELECTIVE – (C) Time allowed : 3 hours Maximum marks : 100 General Instructions: (i) All the questions are compulsory. (ii) You may attempt any section at a time. (iii) All questions of that particular section must be attempted in the correct order. QUESTION PAPER CODE 212 SECTION A (READING) 1. Read the passage given below and answer the questions that follow: 10 1 Hewlett-PackardCompanyorHP(styledashp)isanAmericanmultinational informationtechnologycorporationheadquarteredinPaloAlto,California, United States. It provides hardware, software and services to consumers, smallandmedium-sizedbusinesses(SMBs)andlargeenterprises,including customersinthegovernment,healthandeducationsectors. 2 Itspecializesindevelopingandmanufacturing,computing,datastorage,and networking hardware; designing software and delivering services. Major product lines include personal computing devices, enterprise and industry standard servers, related storage devices, networking products, software and a diverse range of printers and other imaging products. HP markets its products to households, small- to medium-sized businesses and enterprises directly as well as via online distribution, consumer-electronics and office supply retailers, software partners and major technology vendors. HP also hasservicesandconsultingbusinessarounditsproductsandpartnerproducts. In 2013, it was the world's second-largest PC vendor by unit sales. 3 During the late 1990s, HP, the second largest computer manufacturer in the world,facedmajorchallengesinanincreasinglycompetitivemarket.In1998, (20 Marks) Download From: http://www.cbseportal.com
  • 84. 68 while HP's revenues grew just by 3%, competitor Dell's rose by 38%. HP's share price remained more or less stagnant, while competitor IBM's share price increased by 65% during 1998. Analysts said HP's culture, which emphasized teamwork and respect for co-workers, had over the years translated into a consensus-style culture that was proving to be a sharp disadvantageinthefast-growingInternetbusinessera.Analystsfeltthatinstead ofLewisPlatt,HPneededanewleadertocopewithrapidlychangingindustry trends.Respondingtotheseconcerns,inJuly1999,theHPboardappointed Carleton S. Fiorina (Fiorina) as the company's CEO. Fiorina implemented severalcost-cuttingmeasurestostreamlinethecompany'soperations.Some of the measures included forced five-day vacation for the workers and the postponementofwages'hikesforthreemonthsinDecember2000.InJanuary 2001, HP laid off 1,700 marketing employees. 4 InApril2001,FiorinaannouncedthatHP'srevenueswoulddecreaseby2% to 4% for the quarter ending April 30,2001 due to decrease in consumer spending. In yet another move to cut costs, in June 2001, employees were forcibly asked to take pay-cuts. More than 80,000 employees volunteered saving the company $ 130 million. Things became worse when the HP management announced that it would layoff another 6,000 workers in July 2001,thebiggestreductioninthecompany's64-yearhistory.Themanagement alsosentmemossayingthatthelayoffswouldcontinueandthatthevolunteering forpay-cutswouldnotguaranteecontinuedemployment. 5 In September 2001, HP and Compaq Computer Corporation announced their merger. According to company insiders, once the merger was implemented,Fiorinawaslikelytolayoffanother15,000to30,000employees as part of a major cost saving drive. The merger was expected to yield cost savings upto $ 2.5 billion primarily because of layoffs. The steps taken by Fiorinasurprisedanalysts.Theysaidthatthesestepswereamajordeparture from HP's organizational culture - 'The HP way' of promising lifelong employmentandemployeesatisfaction. 6 Accordingtothecompanyinsiders,thoughchangewasnecessary,employees' moralehadsufferedbadly.ManyemployeeshadlostfaithinFiorina'sability Download From: http://www.cbseportal.com
  • 85. 69 toexecuteherplans.Theyalsofeltthatherchangesweredestroyingmuchof the company's cherished culture. HPVice-President for Human Resources, SusanBowickadmitted,"Moralestatisticsarelowerthanwehaveeverseen them." They also explicitly communicated their beliefs and values to the employees. 1.1 Onthebasisofyourreadingoftheabovepassagemakenotesonitusingrecognizable abbreviations, wherever necessary. Use a format you consider suitable. Supply a suitabletitle. 6 1.2 Write a summary of the passage in about 80 words. 4 2. Readthepassagegivenbelowcarefullyandanswerthequestionsthatfollow: 10 1 Three years ago, Martin Scorsese, the New York director who has made streetviolenceoneofhissignaturetraits,teamedupwithHarveyWeinstein, co-chairmanofMiramaxFilmsandsomethingofastreetfighterhimself.The goal was to make a stylized epic film about gang warfare in pre-Civil War Manhattan with enough mass appeal to score at the box office. 2 Butthemakingofthatmovie,GangsofNewYork,hasturnedintoanepicof its own. Stars like Robert De Niro and Willem Dafoe have come and gone. Costs have overshot the original budget by about 25 percent to soar above $ 100million.Weinsteinhasfoughtforastreamlined,morecommercialversion. All the while, Scorsese has tried to stick to his artistic guns as the two have battled over taste and length. 3 WithhopesofpromotingthefilmnextmonthatCannes,Miramaxexecutives are pushing to have the final editing completed in the next few weeks so the complex task of mixing sound with film can begin. But Scorsese is still not satisfiedwiththeending.Hehasbeenconsideringreshootingit,somepeople involved in the film say. The film was initially supposed to hit theatres last December, but now is expected to be released later this year. 4 Scorsese has not had a box-office smash since Cape Fear, which earned $ 79milliondomesticallyin1991.Weinstein,adomineeringpersonalitywho, Download From: http://www.cbseportal.com
  • 86. 70 byhisownadmission,isspurnedinHollywooddespitechampioningeclectic hitslike TheEnglishPatientandGoodwillHunting,hascomeunderfinancial pressureofhisown.InJanuary,heshutTalkmagazineandmorerecentlyhe shed 75 Miramax employees and contract workers to trim costs. 5 Conflicts arise any time a director's vision collides with pressures to make a commercial hit. But Saul Zaentz, the producer who battled with Weinstein overmoneyafterworkingwithhimonAcademyAward-winningTheEnglish Patient,saiditwasespeciallytruewithsuchstrong-willedpersonalities. 6 "Marty is only interested in making the right picture," Mr. Zaentz said. "He willmakeitnomatterwhathehastodo.Andheisstrongenoughtofightfor what he believes in. Harvey's interest, on the other hand, is not the same as Marty's.Itisaboutmakingmoney." 7 The budget for "Gangs" has ballooned to more than $ 103 million from the original $ 83 million - some of which is being paid for by Mr. Scorsese and Mr.DiCaprio,whoplaystheleadcharacter,accordingtotwopeopleinvolved in the film.At that price - high even by today's standards - it would be the mostexpensivemovieinMiramax's22-yearhistory.Mr.WeinsteinandMr. Scorsese declined to be interviewed but released this statement : "As the only two decision makers on Gangs of New York we would be happy to discuss this film in the context of an art versus commerce article when the storyisaninformedone,whichclearlyhingesonthefinalfilmbeingscreened." 2.1 On the basis of your understanding of the passage, answer the following in your own words : (i) Why did Martin Scorsese team up with HarveyWeinstein? 1 (ii) What was the reason for the difference of opinion? 1 (iii) What was the reason for the expected delay of movie release? 1 (iv) In what way did they, 'the two decision makers' decide to answer the queriesregardingthefilm? 1 (v) Whyweretheybothunderfinancialpressure? 1 Download From: http://www.cbseportal.com
  • 87. 71 2.2 Choosethemeaningof words/phrasesgivenbelowfromtheoptionsthatfollow: (a) Streamlined 1 (i) shapeditright (ii) madeiteffective (iii) inastraightline (iv) leftalone (b) Battledover 1 (i) end of a battle (ii) foughtover (iii) decided (iv) overcame (c) Spurned 1 (i) supported (ii) rejected (iii) specialised (iv) fasted (d) Championing 1 (i) cunning (ii) playing (iii) leading (iv) supporting (e) Hinges 1 (i) hangs (ii) kepthigh (iii) depends on (iv) hinders Download From: http://www.cbseportal.com
  • 88. 72 SECTION B (WritingandGrammar) 40 3. YouarePresidentofCivicClub,Delhi.TheClubhasdecidedtoorganizeawalkin severalpartsofOldDelhitocreateawarenessofsanitationandcleanliness.Drafta noticeinvitingmemberstojointhiswalk,givingallthenecessarydetailsin50-60 words.You are Ravi/Sarita. 4 OR You are the President of Literacy Club, Kanpur.You want to create awareness of the importance of voting in an election.You wish to invite Mrs. Neelima Sharma, thelocalMLAtospeaktothemembersoftheClub.Draftaformalinvitationin50 - 60 words. Give all the necessary details.You are Rohan/Seema. 4. You areAmit /Amita, a Class XII student, of Saavan School,Agra.You feel that after leaving school, you are not equipped to handle any job as you lack certain skills.Writealettertotheeditorofanationaldaily,mentioningtheproblemsinthe system.Givesuggestionsastohowwecanmakeeducationmorerelevanttopractical and work. (Write in 120 - 150 words) 6 OR You are Devika / Dev, living at 21 Mount Road, Coimbtore.You placed an order for some gadgets like iPod, calculator, etc. after reading an advertisement in a newspaper. On delivery, you discovered certain problems in the things received. Draftaletterofcomplainttothemanagerofthecompany,OnlineShopper'sDream at their office address, 34 Curzon Road, Chennai, giving details of the problems and what you would like him to do. (Write in 120 - 150 words) 5. Yourschool,ManavVikasPublicSchool,Gurgaon,hostedaculturalextravaganza whichlastedaweek.Variousactivitieslikepainting,debating,singingandwriting saw enthusiastic participation.Around twenty-five schools took part in it. Several prizesweregiventohonourthewinners.AsCulturalSecretaryoftheschool,write Download From: http://www.cbseportal.com
  • 89. 73 a report on the event for the school magazine. You are Manish/Manisha. (Write in 150 - 200 words) 10 OR AsSportsCaptainoftheschool,GyanVidayalaya,Gurgaon,youareconcernedto see a steep decline in the number of students opting for sports activities.You feel that gadgets like computers, mobile phones, etc. and academic pressure are responsibleforit.Prepareaspeechtomotivatethestudentstoparticipateinsports and offer suggestions to improve the situation. (Write in 150 - 200 words) 6. There has been a sudden spurt in violence and juvenile crimes. It has resulted in educationists introducing value education in schools. How far do you think such initiativesactuallyhelptochangethescene?Whatothermeasuresdoyoufeelcan beeffectiveindealingwiththesituation?Writeanarticleforanewspaperexpressing your views about it.You areAnuj /Anuja. (Write in 150 - 200 words) 10 OR A large amount of tax-payers' money is spent on building memorials or naming streets or places after leaders. You feel that there are better ways to remember them and we should not waste money on such things and rather work on public welfare schemes. Write an article expressing your views on it. You are Raghu / Reema. (Write in 150 - 200 words) 7. (a) Rearrangethefollowingwordsandphrasesintomeaningfulsentences. 3 x 1 = 3 (i) I'm prudish / daddy / that's / always says / and vain / not true / but /. (ii) I am / I / been told / have not / often / that / pretty /. (iii) I looked / once / so attractive / when / a boy said / laughed / I /. (b) You are going to meet a friend who is pursuing education in a university in Singapore. You are interested in joining the same university. Frame six questionsthatyouwouldaskyourfriendbeforeyoutakeadecision.Usethe cluesgivenbelow. 3 Download From: http://www.cbseportal.com
  • 90. 74 eligibilityforadmission datesofadmission coursesavailable feestructure boardingandlodging freeshipsavailable (c) The following passage has not been edited. There is one error in each of the lines. Write the error and the correction in your answer book against the correct blank number. Remember to underline the word that you have supplied. 8 x ½ = 4 Error Correction Successrestsintheability (a) _______ _______ ingetreal,lastingsatisfaction (b) _______ _______ oflife.Itmeans (c) _______ _______ be positive, practical and (d) _______ _______ constructiveinhisthoughts. (e) _______ _______ It means forward look (f) _______ _______ inattitudes.Successmean (g) _______ _______ constructiveactionthatturned (h) _______ _______ itintoreality. SECTIONC (Literature) 40 8. Read the extracts given below and answer the questions that follow : 10 (a) Their dreams that drip with murder; and they'll be proud Of glorious war that shatter'd all their pride ..... Download From: http://www.cbseportal.com
  • 91. 75 Men who went out to battle, grim and glad; Children, with eyes that hate you, broken and mad. (i) Why did 'their dreams' drip with murder? 1 (ii) What shattered their pride? 1 (iii) Pick out the figure of speech in the above extract. 1 (iv) What arethetwocontrastingfeelingsdepictedinthesoldier'sexpression? 1 (v) What turned the 'men who went out to battle' into children? 1 (b) Is it so easy, then? Goodbye no more than this Quiet disaster?And is there cause for sorrow Thatinthesmallwhitemurderofonekiss Are born two ghosts, two Hamlets, two soliloquies, Two worlds apart, tomorrow? (i) Name the poem and the poet. 1 (ii) What 'disaster' has been referred to in the above extract? 1 (iii) Who are referred to as two ghosts and why are they called ghosts? 1 (iv) Why have the two worlds grown apart? 1 (v) Explainthereferenceto'twoHamlets,twosoliloquies'. 1 9. Answer the following in 50 - 60 words : 4 (a) Why has Lady Weston referred to Mr. Caesar as 'Mr. Brutus'?What are the parallels that you can trace between the two? OR (b) What was the attitude of the White family towards the monkey's paw? 10. (a) Answer any two of the following in 80 - 100 words each: 5 + 5 (i) In the lesson, 'The Judgement of Paris', why did Suzanne leave the judgement to the public to decide who was the better actor? Do you thinkjusticewasdone? Download From: http://www.cbseportal.com
  • 92. 76 (ii) In the lesson, 'The Last letter', why does Pandit Nehru say, "danger seemsterriblefromadistance:itisnotsobadifyouhaveacloselook at it" ? How can danger add zest and spice to life and does it teach anything? (iii) In the lesson, 'I Can Play Schools', how was 'school' being played at thebeginningandhowdiditchangetowardstheend?Whatwerethe reasons for the change? (b) Answer the following in 120 - 150 words: Inthelesson,'TheHumofInsects',whatattributesmakesomeinsectsnoble? Howcanhumanssometimesbeindirectlyresponsibleforcausingirritationto theinsects? 6 OR Aconservative society associates certain qualities with a son or daughter. How does Rakesh's character conform to these perceptions ? 11. Answer the following in 150 - 200 words: 10 The novel, 'The Invisible Man' is a message for humanity and cautions us against indiscriminatedabblinginscience.Howdoesthecentralcharacterprovethistobe true ? OR ThecloakofinvisibilitygaveGriffinunlimitedpowerbutalsobroughtaboutloneliness, isolationandhisdownfall.Explaininthecontextofthenovel. OR WhatisthesignificanceofSilasMarner's"nearsightedness"? OR CompareSilas'loveofmoneywithhisreligiousfaith. Download From: http://www.cbseportal.com
  • 93. 77 Marking Scheme — English Elective – (C) General Instructions : 1. The Marking Scheme carries only suggested value points for the answers. These are only guidelines and do not constitute the complete answers. The students can have their own expression and if the expression is correct, the marks shauld be awarded accordingly. 2. Answer scripts should not be given to the evaluators for evaluation until and unless the givenMarkingSchemehasbeenthoroughlydiscussedwiththeminagrouporindividually onthefirstdayofevaluatian. 3. TheHeadExaminermustgothroughthefirsttenanswerscriptsevaluatedbyeachevaluator toensurethattheevaluatianhasbeencarriedoutaspertheMarkingScheme.Theremaining answerscriptsmeantforevaluatianshallbegivenonlyafterensuringthatthereisnosignificant variatianinthemarkingofindividualevaluators. 4. EvaluatianistobedoneasperinstructionsprovidedintheMarkingScheme.Itshouldnot be done according to one's own interpretatian or any other consideratian. However, the MarkingSchemecarriesonlysuggestedvaluepointsanddoesnotcanstitutethecomplete answer. 5. If a question has parts, please award marks on the right hand side for each part. Marks awardedfardifferentpartsofthequestionshouldthenbetotalledupandwrittenintheleft handmarginandcircled. 6. If a question does not have any parts, marks must be awarded in the left-hand margin. 7. Where marks are allotted separately for content and expression in the Marking Scheme theyhavetobereflectedseparatelyandthentotalled. Thisisamandatoryrequirement. 8. A slash (/) in the Marking Scheme indicates alternative answers. If a student writes an answerwhichisnotgivenintheMarkingSchemebutwhichisequallyacceptable,marks shouldbeawardedonlyinconsultationwiththeHeadExaminer. 9. If a candidate has attempted an extra question, answer of the question deserving more marks should be retained and the other answer be scored out. 10. Ifastudentwritesasinglewordinresponsetoashortanswertypequestionanditconstitutes the core of the answer it should be accepted and awarded full marks. 11. Ifastudentliterallyliftsaportionofthegivenpassageasananswertoaquestionnomarks shouldbedeductedforthissolongasitisrelevantandindicativeofthedesiredunderstanding on the part of the student especially in Q.l (SectionA) and Q.10 (Section C). Download From: http://www.cbseportal.com
  • 94. 78 QUESTION PAPER CODE 212 EXPECTEDANSWERS/VALUE POINTS SECTION A: (READING) 20 Marks Q1 NOTE MAKING TOTAL MARKS: 10 Objective: 1.To develop the skill of taking down notes. 2.To develop the extracted ideas into a sustained piece of writing. 1.1 DistributionofMarks Abbreviations/Symbols(with/withoutkey)-minimumfour 1 mark Content(minimum3headingsandsub-headings,withproperindentationand 4 marks notes) Title 1 mark IMPORTANT INSTRUCTIONS: Accept the notes and summary in both the first and third person, provided the format is correct and content is covered properly. 12. Some of the questions may relate to Higher Order Thinking Skills. These questions are to beevaluatedcarefullyandstudent'sunderstanding/analyticalabilitymaybejudged. 13. Wherever the word limit is given, no marks are to be deducted for exceeding the word limit. 14. A full scale of marks - 0 to 100 is to be used. In case of an answer book is deserving 95 marks and above, marks be awarded in consultation with the Head Examiner only. 15. TheExaminersshouldacquaintthemselveswiththeguidelinesgivenintheGuidelinesfor SpotEvaluationbeforestartingtheactualevaluation. 16. Everyexaminershouldstayuptosufficientlyreasonabletime,normally5-6hourseveryday and evaluate 20-25 answer books and should devote a minimum of 15-20 minutes to evaluate each answer script. Download From: http://www.cbseportal.com
  • 95. 79 Thenotesprovidedbelowareonlyguidelines.Anyothertitle,mainpointsandsub- points should be accepted if they are indicative of students understanding of the givenpassageandthenotesincludethemainpointswithsuitableandrecognisable abbreviations. Completesentencesshouldnotbeacceptedasnotes.Halfamarkshouldbededucted from the total if the student writes complete sentences. Numberingofpointscanbeindicated'indifferentwaysandtheseshouldbeaccepted as long as it follows a consistent pattern. Note: If a student has attempted only the summary or only the notes, due credit shouldbegiven. Title:Hewlett Packard /Any other relevant title 1 Servicesofferedandspecialisation 1.1 hardware, software and services 1.2 smallandmediumsizedbusinesses 1.3 large enterprises - govt.,health and ed. sector 1.4 dev. of computing, data storage and hardware 1.5 deliveringservices 2 Majorproducts&marketing 2.1 personalcomputingandstoragedevices 2.2 enterpriseandindustryservices 2.3 software,printers&imagingproducts 2.4 marketingproducts 2.4.1 tohouseholds 2.4.2 smalltomediumsizedbusinesses 2.4.3 directlyandonline 2.5 second largest PC vendor 2013 Download From: http://www.cbseportal.com
  • 96. 80 3 Majorchallenges 3.1 competitivemarket&changingindustrytrends 3.2 poor revenue growth 3.3 consensusstylecul. 3.4 new leader needed - Fiorina brought in 4 Preventive steps taken 4.1 layingoffemployeesinaphasedmanner 4.2 cost cutting / pay cuts - no guarantee of permt employment & continuity 4.3 companymerger 5 Majorimpacts 5.1 shiftincherishedorganisationalculture 5.2 moralesufferedbadly 5.3 beliefsandvaluescommunicatedtoemployees Suggested abbreviations: &-and ed. / edu. / Ed. - Education dev. - development govt.-government cul.-culture Note: 1.Any other suitable abbreviations should be accepted 2. No student to be penalised if a key to abbreviations is not given separately 1.2 SUMMARY 4 marks Objective: 1. To expand notes (headings and sub-headings) into a summary. 2. To test the ability of extraction. . DistributionofMarks Content 3 marks Expression 1 mark Download From: http://www.cbseportal.com
  • 97. 81 Note: Due consideration should be given to the students if they do not cover all thepointsinthesummarywhichisexpectedtobeconcise.Thesummary shouldcovertheessentialdetailsonly. 2 COMPREHENSION PASSAGE 10 marks The question has been designed to test a student's understanding of the passage andhis/herabilitytointerpret,evaluateandrespondtothegivenpassage.Assuch, contentassumesmoreimportancethanexpressionintheanswerstothesequestions. Please do not hesitate to award full marks if the answer deserves it. Objective: To identify and understand main parts of the text. Note: Nopenaltyforspellingandgrammaticalerror Full marks to be awarded if a student has been able to identify the core ideas. If a student literally lifts a portion of a given passage as an answer to a question, no mark(s) to be deducted for this as long as it is relevant. Acceptanyotheranswerequivalentinmeaningtotheanswersgivenbelow. 2.1 (i) - Harvey,abitofastreetfighterhimself 1 mark - to make an epic film on gang warfare - MartinScorsesemadestreetviolencethesignaturetraitofhisfilms (anyone) (ii) - Weinsteinwantedacommercialversion. ½+½ =1 mark - Scorsese wanted to stick to artistic guns. (iii) - Scorsese was dissatisfied with the ending, wanted to reshoot it 1 mark (iv) - declined to be interviewed but released a joint statement 1 mark (v) - Scorsese had no box office smash since Cape Fear 1 mark - WeinsteinwasspurnedinHollywoodduetohisdominantpersonality Download From: http://www.cbseportal.com
  • 98. 82 2.2 (a) (ii) madeiteffective 1 mark (b) (ii) foughtover 1 mark (c) (ii) rejected 1 mark (d) (iv) supporting 1 mark (e) (iii) depends on 1 mark SECTION B: (WRITING AND GRAMMAR) Total Marks 40 In section B, where questions have been designed to test the writing skills of the students, expression (grammatical accuracy, appropriate vocabulary and style, spelling,organisationandpresentationofrelevantmatterinacoherentandlogical way)isimportant. 3 NOTICE 4 marks Objective: To draft a notice in an appropriate style. Content (includesformat) 3 marks Format - name of the club, notice / title, date of issue, signatory, designation of the issuingauthority - Thecandidateshouldnotbepenalisedifhe/shehasusedblockletters,with or without a box. Expression (Coherence and relevance of ideas, accuracy and style) 1 mark Suggested Value Points - detailsofthewalk - areas covered - purpose - anyotherrelevantdetails Download From: http://www.cbseportal.com
  • 99. 83 OR FORMALLETTER OFINVITATION Objective: To use an appropriate style to write a formal letter of invitation Content (includesformat) 3 marks Format 1. sender's address 2. date 3. receiver's address 4. subject 5. salutation 6. complimentaryclose 7. sender'ssignature/name Expression 1 mark Suggested Value Points - reasonforinviting - invitationtoNeelimaSharma,thelocalMLA - request to address the club members - availability - anyother 4 LETTERWRITING 6 marks LETTER TO EDITOR: Ill Equipped Students Objective: To use an appropriate style to write a formal letter to the editor To plan, organise and present ideas coherently Download From: http://www.cbseportal.com
  • 100. 84 Format 1. sender's address 1 mark 2. date 3. receiver's address 4. subject 5. salutation 6. complimentaryclose 7. sender'ssignature/name Content 3 marks Expression 2 marks Suggested Value Points: - notenoughvocationalcourses - more of theoretical courses - lackpracticalskills-reading,writing,speaking - not linked to job market - irrelevantcontent - holisticdevelopmentignored . Suggestions - needtolinkeducationtopracticallife - need more vocational courses - linked to job markets - dueimportancetobegiventolifeskills - anyother OR Download From: http://www.cbseportal.com
  • 101. 85 COMPLAINTLETTER Objective: To use an appropriate style to write a formal letter of complaint To plan, organise and present ideas coherently Format 1. sender's address 1 mark 2. date 3. receiver's address 4. subject 5. salutation 6. complimentaryclose 7. sender'sname/signature Content 3 marks Expression 2 marks Suggested value points: - list of items ordered - date, brand, no. of items - detailsofdelivery-mode,time - problems - inconveniencecaused - replace or repair - earlyredressal - anyother 5 REPORTWRITING 10 marks Objective: To use a style appropriate to the given situation To plan, organise and present ideas coherently . Download From: http://www.cbseportal.com
  • 102. 86 CULTURALEXTRAVAGANZA Format: title/heading,writer'sname 1 mark Content: 4 marks - what, when, where, why, how, - detailsofactivities - prizeswon Expression 5 marks grammatical accuracy, appropriate words and spelling (2½) coherence and relevance of ideas and style (2½) OR SPEECHWRITING 10 marks Objective: To use a style appropriate to the given situation To plan, organise and present ideas coherently Format: greetingandthanking 1 mark Content 4 marks Expression 5 marks grammatical accuracy, appropriate words and spelling (2½) coherence and relevance of ideas and style (2½) Suggested Value Points - reasons for fewer students opting for sports activities - importanceofsportsforhealth,fitness,holisticdevelopment - exampleofsuccessfulsportspersonalities Suggestions - betterinfrastructure - morefundallocation - sportsincludedinschoolcurriculum anyotherpoint Download From: http://www.cbseportal.com
  • 103. 87 6 ARTICLEWRITING 10 marks Objective: To use a style appropriate to the given situation To plan, organise and present ideas coherently Format (title/headingandnameofwriter) 1 mark Content 4 marks Expression 5 marks grammaticalaccuracy,appropriatewordsandspelling [2½] coherence and relevance of ideas and style [2½] Suggested Value Points (JUVENILE CRIMES) - initiativeshelpfultosomeextent - students do not take them seriously - values to be taught by example - limitedeffect Suggestions - keepingstudentspositivelyoccupied - helpingtodevelopvocationalactivities - importantparentalrole - inculcatingmoralvaluesduringchildhood - valueorientedcurriculum - roleofacounsellor - regularorientationprogrammesforparentsandteachers anyotherpoint Download From: http://www.cbseportal.com
  • 104. 88 OR Suggested Value Points (MONEYWASTED ON MEMORIALS) - memorials-wasteofmoney - better ways to remember leaders - become a point of contlict - rousepublicresentment - money to be spent on welfare schemes anyotherpoint NOTE : In question 7 care should be taken not to award marks to any inaccurate answerscarryingerrorsingrammarandpunctuation. 7 (a) REARRANGING 3 marks Objective:Toreadandarrangewordsandphrasesintomeaningfulsentences (i) Daddy / always says / I'm prudish / and vain / but / that's / not true. 1 mark (ii) I / have not / been told / often / that / I am / pretty. 1 mark OR I / have not / often / been told / that / I am / pretty. (iii) I / laughed / when / once / a boy said / I looked / so attractive. 1 mark OR I / laughed / when / a boy said / once / I looked / so attractive. OR Once / I / laughed / when / a boy said / I looked / so attractive. OR I / laughed / when / a boy said / I looked / so attractive / once. (anyothermeaningfulsentencemaybeaccepted) Download From: http://www.cbseportal.com
  • 105. 89 7 (b) FRAMING QUESTIONS 3 marks Objective: To understand the context and frame relevant and appropriate questions Marking: ½ a mark for every accurate question framed Note: No marks to be awarded if there is any inaccuracy. The six questions should cover at least any of the two areas specified in the given question. 1. Whatarethedifferentcoursesavailableinyouruniversity? 2. What is the eligibility condition / criterion for admission to your university? 3. What are the dates of admission for various courses? 4. What is the fee structure? 5. Whataretheboardingandlodgingarrangements/facilities? OR Areboardingandlodgingfacilitiesavailableforstudents? 6. Arefreeshipsavailable? (any other suitable questions may also be accepted) 7 (c) EDITING 4 marks Objective: Tousegrammaticalitemsappropriately Marking: ½ a mark each Note: - If the candidate copies the sentence and replaces the incorrect word with the correct answer, marks should be awarded - If only the correct words are given, marks should be awarded Download From: http://www.cbseportal.com
  • 106. 90 Error Correction (a) in on (b) in to OR get getting (c) of in/from (d) be being/becoming (e) his one's / your / our (f) look looking (g) mean means (h) turned turns SECTION C: LITERATURE Total marks 40 8 Reference to Context 10 marks UnderSectionC(Q8),questionshavebeendesignedtotestastudent'sunderstanding of the passage and his / her ability to interpret, evaluate and respond to the given passage.Assuch,contentassumesmoreimportancethanexpressionintheanswers tothesequestions.Pleasedonothesitatetoawardfullmarksiftheanswerdeserves itespeciallyinthelonganswers. Objective: Toteststudents'comprehensionofpoetry-local,global,interpretative, inferentialandevaluative Value points: 8 (a) (i) - traumaofbattle,shockandstrainofbloodywar/cowedsubjection 1 mark to the ghosts of friends who died / haunted nights (ii) - crueltiesofwar 1 mark (iii) - grim and glad - alliteration/gloriouswarshatteredtheirpride- 1 mark paradox/ irony Download From: http://www.cbseportal.com
  • 107. 91 - dreams drip with murder - metaphor - children-metaphor (anyone) (a student may or may not quote the relevant line for the figure of speech) (iv) - proud and shattered / grim and glad / glorious and shattered 1 mark (v) - cruelty of the battle / cowed subjection / horrors of war 1 mark 8 (b) (i) Curtain-HelenSpalding 1 mark (ii) - breakup of relationship / separation of two lovers 1 mark (iii) - the two lovers ½ + ½ = 1 mark - deathoftheiremotionsresultingintheirghostlyexistence (iv) - the love between the two has ended / circumstances have com- 1 mark pelledthemtoendtheirrelationshipbymutualconsent (v) - like Hamlet's dilemma the two separated lovers debated their 1 mark separation,confusionandindecision.HencetwoHamletsand twosoliloquies 9 Objective: To test students' comprehension of prose -local and global 4 marks Content 3 marks Expression 1 mark Answeranyone (a) - Brutus led the conspirators in the assassination of Julius Caesar on 15th March 44BC - Lady Weston calls Caesar from Hampton, Brutus who has come to see Lord Weston regarding rose trees because he has terrified her husband Download From: http://www.cbseportal.com
  • 108. 92 Parallelsdrawn - Brutus led the conspiracy against Julius Caesar - Mr Caesar from Hampton created panic in the mind of Lord Weston OR (b) - Initially,hesitantandsceptical.Thesonisnotinterested.Parentshave mixed feelings but later overcome by curiosity and greed, accept it. 10 Objective: To test students' comprehension of prose - local and global 5 marks (a) Content: 3 marks Expression: 2 marks Answer any two (i) - Suzanne liked both and she could not decide the better one - favouredneither - prepared tough competition for both - wasflirtatious - believedthematterwouldremainunsolved - triedtopostponethematterindefinitely - saved herself from the problem of passing judgement on the two lovers - cunning and clever, she knew both loved her - yet in the end, she kept her word (any3) Yes, justice was done - Quinquart played his part well and proved himself a better actor than Robichon - Paris awarded the 'palm' to Quinquart without a dissenting voice Download From: http://www.cbseportal.com
  • 109. 93 - Quinquart played his part so well that even Robichon was duped by him No, justice was not done to Robichon - Robichondidmostoftheplanning - he devised a way out to prove his supremacy by being versatile - he discussed everything with his adversary, Quinquart and his love, Suzanne - even the deal with Jacques Roux was arranged in front of them - hebelievedinafaircompetition - contrastinglyQuinquartwasveryquietabouthissecretiveplan - Quinquart won the heart of Suzanne but Robichon conquered hearts ofall (any3) (ii) - removesdullnessandboredom/makeseverythingmoreadventurous - westoptakingthingsforgranted - risk and danger makes one wise - teaches us how to overcome danger - perceptions get keener and joys more intense (iii) Inthebeginning,Marianwasplayingschoolalonewithherdolls - scoldedthem - made gestures like her teacher might have done - wasmechanicalandboring Later on Freda joined her in the garden - cheerful - class was larger, brighter and more comfortable - made the game more real Download From: http://www.cbseportal.com
  • 110. 94 10 (b) Answer in 120-150 words 6 marks - bees and wasps are called noble because they do not harm anyone untilandunlesstheyareharmed - industrious, work for the general good - helpinpollination - liveaquietandinoffensivelife - by removing a large quantity of honey from the beehives and making the bees angry OR - conservative society perceives sons to be dutiful to their parents - respectfamilytraditions,familycultureandvaluesystem - exemplaryfilialbehaviour - Rakesh played his part to the best of his ability 11 Extendedreading:NOVEL 10 marks Distributionofmarks: Content : 6 marks Expression 4 marks Value Points : TheInvisibleMan - Griffinlearnsthesecretofinvisibility. - thisaltershischaracter - feelsempowered - misusesscience - does not know how to revert - patheticend Download From: http://www.cbseportal.com
  • 111. 95 OR - unlimitedpowermadeGriffincorrupt,arrogantandfannedcriminaltendencies resulting in friendless life, bad tempered, secrecy, isolation, betrayal and downfall OR SilasMarner - Silas'spooreyesight - partofthebodilydeteriorationanddeformation - longhoursofwork - bentframeandprematureaging - cause,repetitivelabour - poor vision creates a parallel between Eppie and Silas's lost gold - does not see Eppie come in and gold leave - noticesEppie'sblondhair - thinksgoldhasreturned - symboliclevel - near-sightednesssymbolisesgeneralnarrownessofvisionandthought - preventshimfromthinkingbeyondthenarrowconfinesofworkandgold - sixteenyearsafterEppie'sadoption,completetransformation OR - Eppie'sappearancetransformshim - realisationfutilityoflustformoney - notreciprocal - does not lead to higher system of beliefs / values - integrationwithRaveloecommunity - religiousfaithrestored - startsvisitingchurch Download From: http://www.cbseportal.com
  • 112. 96 MATHEMATICS Time allowed : 3 hours Maximum Marks : 100 General Instructions: (i) All questions are compulsory. (ii) Please check that this Question Paper contains 26 Questions. (iii) Marks for each question are indicated against it. (iv) Questions 1 to 6 in Section-A are Very Short Answer Type Questions carrying one mark each. (v) Questions 7 to 19 in Section-B are Long Answer I Type Questions carrying 4 marks each. (vi) Questions 20 to 26 in Section-C are Long Answer II Type Questions carrying 6 marks each (vii) Please write down the serial number of the Question before attempting it. QUESTION PAPER CODE 65/1/D SECTION A Question numbers 1 to 6 carry 1 mark each. 1. If kˆ3jˆ6iˆ2bandkˆ4–jˆiˆ7a   , then find the projection of  bona . 1 2. Find λ , ifthe vectors kˆ3jˆλcandkˆ–jˆ–iˆ2b,kˆjˆ3iˆa   are coplanar.. 1 3. If a line makes angles 90 o , 60 o and θ with x, y and z-axis respectively, where θ is acute, thenfmd θ. 1 4. Write the element a23 ofa 3 × 3 matrixA= (aij) whose elements aij are given by aij = 2 j–i 1 Download From: http://www.cbseportal.com
  • 113. 97 5. Find the differentialequation representing the familyofcurves v= r A + B, where A and B are arbitraryconstants. 1 6. Find theintegrating factorofthedifferentialequation 1 1 dy dx x y – x e x2–          SECTION-B Question numbers 7 to 19 carry4 marks each. 7. IfA=           01–1 312 102 findAA 2 – 5A+ 4I and hence find a matrix X such that 4 A 2 – 5A + 4I + X = O OR IfA= 1– )A(find, 122– 41–0 32–1            . 8. Iff(x) = 1axax 1–aax 01–a 2 , usingproperties ofdeterminants find thevalue of 4 f(2x) – f(x). 9. Find :   2xsinsin x dx 4 Download From: http://www.cbseportal.com
  • 114. 98 OR Integratethefollowing w.r.t. x 2 2 x–1 13x–x  10. Evaluate:   – (cos ax – sin bx)2 dx 4 11. A bag A contains 4 black and 6 red balls and bag B contains 7 black and 3 red balls.Adie is thrown. If1 or 2 appears on it, thenbagAis chosen, otherwise bag B. Iftwo balls are drawn at random(without replacement) fromthe selected bag, find the probabilityofone ofthembeing red and another black. 4 OR An unbiased coin is tossed 4 times. Find the mean and variance of the number of heads obtained. 12. xyzyx               jˆriˆrfind,kˆjˆiˆr 4 13. Find the distance between the point (–1, –5, –10) and the point ofintersectionofthe line 12 2–z 4 1y 3 2–x    and the plane x - y + z = 5. 4 14. Ifsin [cot–1 (x + 1)] = cos (tan–1 x), thenfind x. 4 OR If (tan–1 x) 2 + (cot–1 x) 2 = 8 5π2 , then find x. Download From: http://www.cbseportal.com
  • 115. 99 15. If y = tan–1           22 22 x–1–x1 x–1x1 , x2 < 1, then find dx dy . 4 16. If x = a cos θ + b sin θ, y = a sin θ – b cos θ, show that 0y dx dy x– dx yd y 2 2 2  . 4 17. The side ofan equilateraltriangle is increasing at the rate of2 cm/s.At what rate is its 4 area increasing when the side ofthe triangle is 20 cm? 18. Find :   dxx–4x–33)(x 2 4 19. Three schools A, B and C organized a mela for collecting funds for helping the rehabilitation offlood victims. Theysold hand made fans, mats and plates from recycled material at a cost of ` 25, ` 100 and ` 50 each. The number of articles sold are givenbelow: 4 School A B C Article Hand-fans 40 25 35 Mats 50 40 50 Plates 20 30 40 Find the funds collected by each school separately by selling the above articles. Also find the totalfunds collected for the purpose. Write onevalue generated bytheabove situation. SECTION-C Question numbers 20 to 26 carry6 marks each. 20. Let N denote the set of allnaturalnumbers and R be the relation on N × N defined 6 by (a, b) R (c, d) ifad (b + c) = bc(a + d). Show that R is an equivalence relation. Download From: http://www.cbseportal.com
  • 116. 100 21. Using integrationfmdthe area ofthetriangle formed bypositivex-axis and tangent and normal to the circle x2 + y2 = 4 at  31, . 6 OR Evaluate    3 1 23x–2 1xe dxas a limit ofa sum. 22. Solve thedifferentialequation: 6 (tan–1 y – x)dy= (1 + y2 )dx. OR Find the particular solutionofthe differentialequation 22 yx xy dx dy   giventhat y= 1, when x = 0. 23. Iflines 1 z 2 k–y 1 3–x and 4 1–z 3 1y 2 1–x    intersect, thenfind the value of k and hence find the equationofthe plane containing these lines. 6 24. IfAand B are two independent events such that     6 1 BAPand 15 2 BAP  then find p(A) and P(B). 6 25. Find the localmaxima andlocalminima, ofthe functionf(x) = sin x - cos x, 0 < x< 2 π. Also findthe localmaximumandlocalminimumvalues. 6 26. Find graphically,the maximumvalue ofz = 2x + 5y, subject to constraints givenbelow: 2x + 4y < 8 3x + y < 6 x + y < 4 x > 0, y > 0 6 Download From: http://www.cbseportal.com
  • 117. 101 QUESTION PAPER CODE 65/1/A SECTION A Question numbers 1 to 6 carry1 mark each. 1. IfA=       θcosθsin– θsinθcos , then for anynatural number n, find the value of Det (A n ). 1 2. Find the sumofthe order andthe degree ofthefollowing differentialequation: y = x 2 23 dx yd dx dy       1 3. Find thesolutionofthe followingdifferentialequation:     0dyx1ydxy1x 22  1 4. In a triangle OAC, ifB is the mid-point ofsideAC and b,OBa,OA  then what is OC ? 1 5. Find a vector ofmagnitude 171 whichis perpendicular to bothofthe vectors kˆ2jˆ–iˆ3bandkˆ3–jˆ2iˆa   . 1 6. Find the angle between the lines 2x = 3y = – z and 6x = – y = – 4z. 1 SECTION B Question numbers 7 to 19 carry4 marks each. 7. There are 2familiesAand B.There are 4 men, 6womenand 2 childreninfamilyA, and 2men, 2womenand4 childreninfamilyB. The recommended dailyamount of calories is 2400 for men, 1900 for women, 1800 for children and 45 grams of Download From: http://www.cbseportal.com
  • 118. 102 proteins for men, 55 grams for womenand 33 grams for children. Represent the above information using matrices. Using matrix multiplication,calculate the total requirement ofcaloriesand proteins for eachofthe 2 families.What awareness can you create among people about the balanced diet fromthis question ? 4 8. Evaluate:             4 π 5 1 tan2tan 1– 4 9. Using properties ofdeterminants, prove that c2c b2b a2a 3 3 3 = 2 (a – b) (b – c) (c – a) (a + b + c). 4 10. Using elementaryrowoperations (transformations), find the inverseofthe following matrix:           013 321 210 OR , 3 2 2 C, 021 201 110 B, 087 806 760 AIf                                   thencalculateAC, BC and (A+ B) C. Also verify that (A+ B) C = AC + BC. 4 11. Discuss thecontinuityanddifferentiabilityofthe function f(x) = | x | + | x – 1 | in the interval (–1, 2). 4 Download From: http://www.cbseportal.com
  • 119. 103 12. If x = a (cos 2t + 2t sin 2t) and y = a (sin 2t – 2t cos 2t), then find 2 2 dx yd . 4 13. If (ax + b) ey/x = x, thenshow that 2 2 2 3 y– dx dy x dx yd x             4 14. Evaluate:    dx sin xxx xcos– xsin x 4 OR Evaluate:     dx 1x1–x x 2 3 15. Evaluate:   2 π 0 2 2 xsin31 dxxcos 4 16. Evaluate:         4 π 0 dx 2xsin3 xcosxsin 4 17. Let kˆ4jˆ–iˆ2candkˆ7jˆ2–iˆ3b,kˆ2jˆ4iˆa   . Find a vector d which is perpendicular to both 27dcandbanda   . 4 Download From: http://www.cbseportal.com
  • 120. 104 18. Find theshortest distance between thefollowing lines :    kˆ4jˆ3iˆ2λkˆ3jˆ2iˆr      kˆ8jˆ6iˆ4μkˆ5jˆ4iˆ2r   4 OR Find the equation of the plane passing through the line of intersection of the planes 2x + y – z = 3 and 5x – 3y + 4z + 9 = 0 and is parallel to the line 5– z–5 4 3–y 2 1–x  . 19. A man takes a step forward with probability 0·4 and backward with probability 0·6. Find the probability that at the end of 5 steps, he is one step awayfrom the startingpoint. 4 OR Suppose a girlthrows a die. If she gets a 1 or 2, shetosses a coin threetimes and notes thenumber of'tails'. Ifshe gets 3, 4, 5 or 6, shetosses a coin onceand notes whether a 'head' or 'tail' is obtained. If she obtained exactly one 'tail', what is the probabilitythat she threw 3, 4, 5 or 6 withthe die? SECTION C Question numbers 20 to 26 carry6 marks each. 20. Determine whether the relation R defined on the setofallrealnumbers as R = {(a, b) : a, b  and a – b+ 3 S, where S is the set ofallirrationalnumbers}, is reflexive,symmetric and transitive. 6 OR Let A= ×and * be the binary operationonAdefined by(a, b) * (c, d) = (a + c, b+ d). Prove that * is commutative and associative. Find the identityelement for * onA.Also write the inverse element oftheelement (3, – 5) inA. Download From: http://www.cbseportal.com
  • 121. 105 21. Tangent to the circle x2 + y2 = 4 at any point on it in the first quadrant makes intercepts OAand OB on x and y axes respectively, O being the centre of the circle. Findthe minimumvalue of(OA+ OB). 6 22. If the area bounded by the parabola y2 = 16axand the line y = 4mx is 12 a2 sq. units, thenusing integration, findthevalueofm. 6 23. Show that the differentialequation (x– y) dx dy = x + 2yis homogeneous and solve it also. 6 OR Find the differentialequation ofthe familyof curves(x – h) 2 + (y – k) 2 = r 2 , where h and k are arbitraryconstants. 24. Find theequation ofa plane passing through the point P(6, 5, 9) andparallelto the plane determined bythe pointsA(3, –1, 2), B(5, 2, 4) and C(–l, –1,6).Also find the distance ofthis plane fromthe pointA. 6 25. An urn contains 5 red and 2 black balls. Two balls are randomly drawn, without replacement.'Let Xrepresent thenumberofblackballsdrawn.What arethepossible values ofX? Is X a random variable? If yes, find the meanand variance ofX. 6 26. Solve the. followinglinear programming problemgraphically. Minimise z = 3x + 5y subject to the constraints x + 2y > 10 x + y > 6 3x + y > 8 x,y > 0. 6 Download From: http://www.cbseportal.com
  • 122. 106 QUESTION PAPER CODE 65/1/B SECTION A Question numbers 1 to 6 carry1 mark each. 1. Find thevalue of(x+y) fromthe following matrix equation:                   1415 67 21 4–3 3–7 5 2 y x 1 2. Find the sumofthe degree andthe order for thefollowing differentialequation: 1 0 dx yd dx d 4 2 2                3. Findthe integratingfactor ofthe followingdifferentialequation: x log x dx dy + y = 2 log x 1 4. The vectors kˆyjˆiˆ2bandjˆxiˆ3a   aremutuallyperpendicular. If |b||a|   , thenfind the value ofy.. 1 5. If |a|  = a,thenfind the value ofthe following: 222 |kˆa||jˆa||iˆa|   1 6. Find the angle θ , betweenthe line 4 4–z 5 3–y 3 2–x  and the plane 2x – 2y + z – 5 = 0. 1 Download From: http://www.cbseportal.com
  • 123. 107 SECTION B Question numbers 7 to 19 carry4 marks each. 7. Atrust caring forhandicapped childrengets `30,000everymonthfromits donors. The trust spendshalfofthe funds received for medicaland educationalcare ofthe childrenandfor that it charges2% ofthe spent amount fromthem, anddeposits the balance amount in a private bank to get the moneymultiplied so that infuture the trust goes on functioning regularly. What percent of interest should the trust get fromthe bank to get a totalof ` 1,800 everymonth? Use matrixmethod, to find the rate ofinterest. Do you thinkpeople should donate to such trusts? 4 8. Find the valueofx, if sin [cot–l (x + 1)] = cos (tan–l x), OR Provethefollowing : 2 sin–l 5 3 – tan–l 4 π 31 17  4 9. If a + b + c bac acb cba and0 = 0, thenusmg properties ofdeterminants, prove that a = b = c. 4 10. IfA=           120 352 01–1 , findAA -1 using elementaryrow transformations. 4 Download From: http://www.cbseportal.com
  • 124. 108 11. Let f(x) = x – | x – x2 | x  [– 1, 1]. Find the point ofdiscontinuity, (ifany), ofthis functionon[–1, 1]. 4 12. Ify = log x bxa x        , provethat x3 2 2 2 y– dx dy x dx yd        . 4 13. Find the derivative ofsec–1 2 1 xatx–1w.r.t. 1–2x 1 2 2       . 4 14. Evaluate:         2 π 0 dx xcs xcos3xsin5 osxin 4 OR Find:          dx xlog 1 xloglog 2 15. Find:   xtanx1 dxx 4 16. Find:     dx 1x1–x x 2 4 4 17. Find a unit vector perpendicular to theplane oftriangleABC, where the coordinates of its vertices areA(3, – 1, 2), B(l, – 1, – 3) and C(4, – 3, 1). 4 Download From: http://www.cbseportal.com
  • 125. 109 18. Find the shortest distance between thelines x + 1 = 2y = – 12z and x = y + 2 = 6z - 6. 4 OR From the point P(a, b, c), perpendiculars PL and PM are drawn to YZ and ZX planes respectively. Find the equation ofthe plane OLM. 19. In 3 trials ofabinomialdistribution, theprobabilityofexactly2 successes is 9 times the probabilityof3 successes. Find the probability ofsuccess in each trial. 4 OR An urn contains 3 red and 5 black balls.Aball is drawn at random, its colour is noted and returned to the urn. Moreover, 2 additional balls of the colour noted down,areputintheurnandthentwoballsaredrawnatrandom(withoutreplacement) fromthe urn. Find the probabilitythat both the balls drawn areofred colour. SECTIONC Question numbers 20 to 26 carry6 marks each. 20. On the set {0, 1, 2, 3, 4, 5, 6}, a binary operation * is defined as : a * b =      7baif7,–ba 7baifb,a Write theoperation table ofthe operation * and prove that zero is the identityfor this operation and eachelement a  0 of the set is invertible with 7 - a being the inverse ofa. 6 21. Find the maximumarea ofanisosceles triangle inscribed inthe ellipse 1 9 y 16 x 22  with its vertexat one end ofthe major axis. 6 Download From: http://www.cbseportal.com
  • 126. 110 22. Find the area ofthe region {(x, y) : x2 + y2 < 4, x+ y > 2}, using the method of integration. 6 23. (x2 + y2 ) dy = xy dx, If y (1) = 1 and y (x0 ) = e, then find the value of x0 . 6 OR Find theparticular solutionofthedifferentialequation y dx dy  tan x = 3x2 + x3 tan x, x  2 π , given that y = 0 when x = 3 π . 24. Find the coordinates ofthe point where the line throughthe pointsA(3, 4, 1) and B(5, 1, 6) crosses the plane determined by the points P(2, 1, 2), Q(3, 1, 0) and R(4, - 2, 1). 6 25. Suppose a boy throws a die. If he gets a 1 or 2, he tosses a coin three times and notes downthe number ofheads. Ifhe gets 3, 4, 5 or 6 he tosses the coinonce and notes down whether a head or a tailis obtained. Ifhe obtains exactlyone head, what is the probabilitythat he obtained3, 4, 5, or 6 with the die? 6 OR A manis known to speaktruth3 out of5 times. He throws a die and reportsthat it is 4. Find the probabilitythat it is actuallya 4. 26. A dealer in a ruralareawishes to purchase some sewing machines. He has only` 57,600 to invest and has space for at most 20 items.Anelectronic machine costs him`3,600andamanuallyoperatedmachinecosts`2,400.Hecansellanelectronic machine at aprofit of` 220 and a manuallyoperated machine at a profit of` 180. Assuming that he can sell all the machines that he buys, how should he invest his moneyinorder to maximize his profit? Make it as a LPPand solve it graphically. 6 Download From: http://www.cbseportal.com
  • 127. 111 QUESTION PAPER CODE 65/1/C SECTION A Question numbers 1 to 6 carry 1 mark each. 1. If .|ba|findthen,kˆ2–jˆ5iˆ3band,kˆ3jˆiˆ2a   1 2. Find the angle between the vectors kˆ–jˆandjˆ–iˆ . 1 3. Find the distance of a point (2, 5, - 3) fromthe plane   .4kˆ2jˆ3–iˆ6r   1 4. Write the element a12 ofthe matrixA= [aij ]2×2 , whose elements aij are givenby aij = e2ix sin jx. 1 5. Find thedifferentialequationofthefamilyoflines passingthroughthe origin. 1 6. Findthe integratingfactor forthe followingdifferentialequation: x log x dx dy + y = 2 log x 1 SECTIONB Question numbers 7 to 19 carry4 marks each. 7. IfA=           122 212 221 , then show that AA 2 – 4A– 5I = O, and hence findA –1 . 4 OR IfA=           310 015 1–02 , thenfindAA –1 using elementaryrow operations. Download From: http://www.cbseportal.com
  • 128. 112 8. Using the properties ofdeterminants, solve the following for x: 0 6x2x1–x 2x1–x6x 1–x6x2x               4 9. Evaluate:   2 π 0 2 dx xcosxsin xsin 4 OR Evaluate  2 1– (e3x + 7x- 5) dx as a limit ofsums. 10. Evaluate:   dx 2–xx x 24 2 4 11. In a set of 10 coins, 2 coins are with heads on both the sides.Acoin is selected at randomfromthis set and tossedfive times.Ifallthe five times, theresult washeads, find the probabilitythat the selected coin had heads onboth the sides. 4 OR How manytimes must a faircoinbe tossed so that the probabilityofgetting at least one head is more than 80% ? 12. Find xsuch that the four pointsA(4, 1, 2), B(5, x, 6), C(5, 1, – 1) and D(7, 4, 0) are coplanar. 4 13. Aline passing through thepointAwith positionvector kˆ2jˆ2iˆ4a   is Download From: http://www.cbseportal.com
  • 129. 113 parallelto the vector kˆ6jˆ3iˆ2b   . Findthe length ofthe perpendicular drawn onthis line froma point P withpositionvector kˆ3jˆ2iˆr1   . 4 14. Solve the followingfor x: sin–1 (1 – x) – 2 sin–1 x = 2 π 4 OR Showthat: 2 sin–1       5 3 – tan–1 4 π 31 17       15. If y = eax . cos bx, then prove that dx dy 2a– dx yd 2 2 + (a2 + b2 ) y = 0 4 16. If xx + xy + yx = ab , then find dx dy . 4 17. If x = a sin 2t (1 + cos 2t) and y = b cos 2t (1 – cos 2t), then find dx dy at t = 4 π . 4 18. Evaluate:    dx 5)(x e3)(x 3 x 4 19. Three schools X,Y and Z 'organized a fete (mela) for collecting funds for flood victimsinwhichtheysoldhand-heldfans,matsandtoysmadefromrecycledmaterial, Download From: http://www.cbseportal.com
  • 130. 114 the sale priceofeach being ` 25, ` 100 and ` 50 respectively.The following table shows thenumber ofarticles ofeachtype sold: 4 School Article X Y Z Hand-held fans 30 40 35 Mats 12 15 20 Toys 70 55 75 Using matrices, findthe funds collected byeachschoolbysellingthe above articles and the total funds collected. Also write anyone value generated by the above situation. SECTION C Question numbers 20 to 26 carry6 marks each. 20. Let A = Q x Q, where Q is the set of all rational numbers, and * be a binary operation onAdefined by (a, b) * (c, d) = (ac, b + ad) for (a, b), (c, d)  A. Then find (i) The identityelement of* inA. (ii) Invertible elements ofA, and hence writethe inverse ofelements (5, 3) and       4, 2 1 . 6 OR Let f : W  W be defined as f(n) =     eveninnif1,n oddisnif1,–n Download From: http://www.cbseportal.com
  • 131. 115 Show that fis invertible and find the inverse of f. Here, W is the set of all whole numbers. 21. Sketch the region bounded bythe curves y = 2 x–5 and y= | x – 1 | and find itsareausing integration. 6 22. Find theparticular solutionofthedifferentialequation x2 dy = (2xy + y2 ) dx, given that y = 1 when x = 1. 6 OR Find theparticular solutionofthedifferentialequation (1 + x2 ) dx dy = (em tan–1 x – y), given that y = 1 when x = 0. 23. Find the absolutemaximumand absolute mimmumvalues ofthe functionfgivenby f(x) = sin2 x – cos x, x π][0, . 6 24. Show that the lines :  kˆjˆ–iˆλkˆjˆiˆr    kˆ3jˆ–iˆ2μkˆ2jˆ4r   are coplanar.. Also, find the equationofthe planecontaining these lines. 6 25. Minimise and maximisez = 5x+ 2ysubject to thefollowing constraints : x – 2y < 2 3x + 2y < 12 – 3x + 2y < 3 x > 0, y > 0 6 Download From: http://www.cbseportal.com
  • 132. 116 26. Two numbers are selected at random(without replacement) fromfirst sixpositive integers. Let Xdenote the larger ofthe two numbers obtained.Find the probability distributionofX.Find themeanand variance ofthis distribution. 6 QUESTION PAPER CODE 65/1/G SECTION A Question numbers 1 to 6 carry 1 mark each. 1. IfA=       23 42 and B =       43 52– then find (3A– B). 1 2. Find the differentialequation representing the curve y= e–x + ax + b, where a and b are arbitraryconstants. 1 3. Write thesumofthe order and the degree ofthe differentialequation 22 2 2 dx dy – dx yd             = y3 . 1 4. Find the value of a + b, if the points (2, a, 3), (3, – 5, b) and (–1, 11, 9) are collinear. 1 5. Find the value of |b|10,|a|if,ba   = 2 and |ba|   = 16. 1 6. Find the distance between the parallelplanes     27.kˆ6–jˆ3–iˆ6rand6kˆ2–jˆ–iˆ2r   1 Download From: http://www.cbseportal.com
  • 133. 117 SECTION B Question numbers 7 to 19 carry 4 mark each. 7. Provethefollowing : sin                    2 2 1– 2 1– x1 x–1 cos 2x x–1 tan = 1, 0 < x < 1. 4 OR If 4 π 6x 5x tan 6–x 5–x tan 1–1–               , thenfind the value ofx. 8. Using the propertiesofdeterminants prove that: 22 22 22 b–a–12a–2b 2aba12ab 2b–2abb–a1   = (1 + a2 + b2 ) 3 4 9. For the matrixA=           21–1 1–21– 11–2 , show that AA 2 – 5A+ 4I = O. Hence findA-l . 4 OR Using elementarytransformations,find the inverseofthefollowing matrix:           013 321 210 Download From: http://www.cbseportal.com
  • 134. 118 10. Examine the following function f(x) for continuityat x= 1 and differentiabilityat x = 2. f (x) =         2x,43x 2x1,3x–4x 1x0,4–5x 2 4 11. If y = x3 log       x 1 , then prove that x 2 2 2 3x dx dy 2– dx yd  = 0. 4 OR Verify mean value theorem for the function f(x) = (x – 4) (x – 6) (x – 8) on the interval[4, 10]. 12. If y–x a log y–x x  , then prove that y x –2 dx dy  . 4 13. find:   3/553 1)(xx dx 4 14. Evaluate:  4 2 { | x – 2 | + | x – 3 | + | x – 4 | }dx 4 OR Evaluate:   4 π 0 2 dx xsin21 xsec Download From: http://www.cbseportal.com
  • 135. 119 15. Evaluate:       2 π 4 π 2x dx 2xcos–1 2xsin–1 e 4 16. Show that the fourpoints withposition vectors ,kˆ21jˆ8iˆ4  ,kˆ6jˆ4iˆ2  kˆ5jˆ8iˆ5andkˆ4jˆ5iˆ3  are coplanar.. 4 17. Bag I contains 4 red and 5 black balls and bag II contains 3 red and 4 black balls. One ballis transferred frombag Ito bag II andthen two balls are drawnat random (without replacement) frombag II. The balls so drawn are bothfound to be black. Find the probabilitythat the transferred ballis black. 4 18. Find the vector and cartesian equations ofa line throughthe point (1, –1, 1) and perpendicular to the lines joining the points (4, 3, 2), (1, -1, 0) and (1, 2, -1), (2, 1, 1). 4 19. Three schoolsA, Band C want to award their selected students for the values of Honesty, Regularity and Hard work. Each school decided to award a sum of ` 2,500, ` 3,100, ` 5,100 per student for the respective values. The number of students to be awarded bythe three schools is given below in the table : School Values A B Z Honesty 3 4 6 Regularity 4 5 2 Hard work 6 3 4 Find the totalmoneygiveninawardsbythethree schoolsseparately, usingmatrices. Apart fromtheabove givenvalues, suggest one more value whichshould be con- sidered forgiving award. 4 Download From: http://www.cbseportal.com
  • 136. 120 SECTION C Question numbers 20 to 26 carry6 marks each. 20. Check whether the operation * defined onthe set A= R x R as (a, b) * (c, d) = (a + c, b + d) is a binaryoperation or not, where R is the set ofallrealnumbers. Ifit is a binary operation, is it commutative and associative too ?Also find the identityelement of*. 6 OR LetA= { -1, 0, 1, 2}, B = { - 4, - 2,0, 2} and f, g :A  B be functions defined by f(x) = x2 - x, x  Aand g(x) = 2 | 2 1 –x| – 1, x  A. Find gof(x) and hence show that f= g = gof. 21. Find the equations ofthe tangent and the normalto the curve y= 3)–(x2)–(x 7–x at the point where it cuts the x-axis. 6 OR Find the absolutemaximumandabsolute minimumvalues ofthe functionfgivenby f(x) = cos2 x + sin x, x  π][0, . 22. Using integration, find the area of the region bounded by the line y – 1 = x, the x-axis and the ordinates x = - 2 and x = 3. 6 23. Find the particularsolution ofthe differentialequation(y– sin x)dx + (tan x) dy= 0 satisfying the conditionthat y= 0 whenx = 0. 6 Download From: http://www.cbseportal.com
  • 137. 121 24. Find the value ofk forwhichthe following linesare perpendicular to eachother : 5 z k– y–2 1– 2x ; 1–2k– z–5 1 1–y 5–k 3x     Hence find the equation ofthe plane containingthe above lines. 6 25. The standardweight ofa specialpurpose brick is 5kg and it must containtwo basic ingredients Bl and B2 . Bl costs ` 5 per kg and B2 costs ` 8 per kg. Strength considerations dictate that the brick should contain not more than4 kg ofBl and minimum2 kg ofB2 . Since the demand for the product is likelyto be related to the price ofthebrick, find the minimumcost ofbrick satisfying the above conditions. Formulate this situationas an LPPandsolve it graphically. 6 26. An unbiased coinis tossed 'n' times. Let the randomvariable X denote the number oftimes the head occurs. If P(X =1), P(X = 2) and P(X = 3) are inAP, find the value ofn. 6 QUESTION PAPER CODE 65/1/P SECTION A Question numbers 1 to 6 carry 1 mark each. 1. IfA=       2–5 32 , thenwriteAA –1 . 1 2. Find the differentialequation representing the curve y= cx+ c2 . 1 3. Write theintegratingfactorofthe followingdifferentialequation: (1 + y2 ) dx – (tan–1 y – x) dy = 0 1 4. Write the value of ).ab(a   1 Download From: http://www.cbseportal.com
  • 138. 122 5. If kˆ3jˆ4–iˆ5candkˆjˆiˆ2b,kˆ–jˆ2iˆa   , then findthe value of   c)ba( . 1 6. Writethedirectionratios ofthefollowing line: x = – 3, 1 z–2 3 4–y  1 SECTION B Question numbers 7 to 19 carry4 marks each. 7. To raise moneyfor anorphanage, students of three schoolsA, Band C organised an exhibitionin their locality, where theysold paper bags, scrap-books and pastel sheets made bythemusing recycledpaper, at the rate of`20, ` 15 and ` 5 per unit respectively. SchoolAsold 25 paper bags, 12 scrap-books and 34 pastel sheets. School B sold 22 paper bags, 15 scrap-books and 28 pastelsheets while School C sold 26 paper bags, 18 scrap-books and 36 pastel sheets. Using matrices, find the totalamount raised byeach school. Bysuch exhibition,whichvalues are generated inthe students? 4 8. Prove that: 2 tan–1                  xcosba bxcosa cos 2 x tan ba b–a 1– 4 OR Solve the followingfor x: tan–1 1.|x|, 4 π 3x 2x tan 3–x 2–x 1–               Download From: http://www.cbseportal.com
  • 139. 123 9. IfA=           01–1 312 102 , find AA 2 – 5 A+ 16 I. 4 10. Using theproperties ofdetenninants, provethe following: 1)–(x1)x(x2)–(x1)–x(xx)–3x(1 1)x(x1)–x(x2x 1xx1    = 6x2 (1 – x2 ). 4 11. If x = α sin 2t (1 + cos 2t) and y = β cos 2t (1 – cos 2t), show that α β dx dy  tan t. 4 12. Find        1– 1– 1– xx x–x cos dx d 4 13. Find the derivative ofthe following functionf(x) w.r.t. x, at x= 1 : cos–1        2 x1 sin + xx 4 14. Evaluate:   2 π 0 xcosxsin xsin dx 22 2 4 OR Download From: http://www.cbseportal.com
  • 140. 124 Evaluate:  2 3 0 | x . cos ( πx) | dx 15. Evaluate:    dxtanxcot 4 16. Find   dx xx 1–x 3 3 4 17. Show that four pointsA, B, C and D whose positionvectors are ,kˆjˆ5iˆ4   kˆjˆiˆ–4andkˆ4jˆ9iˆ3,kˆ–jˆ–  respectivelyare coplanar.. 4 18. Show that the following two linesare coplanar: δα d–a–z α a–y δ–α da–x    and γβ c–b–z β b–y γ–β cb–x    4 OR Find the acute anglebetween the plane 5x – 4y+ 7z – 13 = 0 and the y-axis. 19. A and B throw a die alternativelytillone ofthemgets a numbergreater thanfour and winsthe game. IfAstarts the game, what is the probabilityofB winning? 4 OR Adie is thrown three times. EventsAand B are defined as below : A: 5 on the first and 6 on the second throw. B : 3 or 4 onthe third throw. Find the probabilityofB, given thatAhas alreadyoccurred. Download From: http://www.cbseportal.com
  • 141. 125 SECTION C Question numbers 20 to 26 carry6 marks each. 20. If the function f : R  R be defined by f(x) = 2x – 3 and g : R  R by g(x) = x3 + 5, thenfind the value of(fog)–1 (x). 6 OR Let A = Q x Q, where Q is the set of all rational numbers, and * be a binary operation defined onAby (a, b) * (c, d) = (ac, b + ad), for all (a, b) (c, d)  A. Find (i) the identityelement inA. (ii) the invertibleelement ofA. 21. Ifthe function f(x) = 2x3 - 9mx2 + 12m2 x + 1, where m> 0 attains its maximum and minimumat p and q respectivelysuch that p2 = q, then find the value ofm. 6 22. Using integration, find the area of the region bounded by the lines y= 2 + x, y = 2 – x and x = 2. 6 23. Find the differentialequation for allthestraight lines, whichare at a unit distance fromtheorigin. 6 OR Show that the differential equation 2xy dx dy = x2 + 3y2 is homogeneous and solve it. Download From: http://www.cbseportal.com
  • 142. 126 24. Find the directionratios ofthe normalto the plane, whichpassesthroughthe points (1, 0, 0) and (0, 1, 0) and makes angle 4 π with the plane x + y = 3.Also find the equation ofthe plane. 6 25. 40% students ofa college reside in hostelandthe remaining reside outside.At the end ofthe year, 50% ofthe hostelers gotAgrade while fromoutsidestudents, only 30% gotAgrade inthe examination.At the end ofthe year, a student ofthe college was chosenat randomandwasfoundto havegottenAgrade.What istheprobability that the selected student was a hosteler? 6 26. Thepostmasterofalocalpost officewishesto hireextrahelpersduringtheDeepawali season, because of a large increase in the volume of mail handling and delivery. Because ofthe limited office space and the budgetary conditions, the number of temporaryhelpers must not exceed 10.According to past experience, a man can handle 300 letters and 80 packages per day, on the average, and a woman can handle 400 letters and 50 packets per day. The postmaster believes that the daily volume ofextra mailand packages willbe no less than 3400 and 680 respectively. Aman receives ` 225 a dayand a woman receives ` 200 a day. How many men and women helpers should be hired to keep the pay-rollat a minimum? Formulate an LPPandsolve it graphically. 6 QUESTION PAPER CODE 65/1/RU SECTION A Question numbers 1 to 6 carry 1 mark each. 1. Write the value of 3–3–3– yxz xzzyyx   . 1 Download From: http://www.cbseportal.com
  • 143. 127 2. Write the sumofthe order and degreeofthe followingdifferentialequation: 0 dx dy dx d 3                1 3. Write theintegratingfactor ofthefollowing differentialequation: (1 + y2 ) + (2xy – cot y) dx dy = 0 1 4. If  candb,a are mutuallyperpendicular unit vectors, then find the value of |cba2|   . 1 5. Write a unit vector perpendicular to both the vectors kˆjˆiˆa   and jˆiˆb   . 6. The equations of a line are 5x – 3 = 15y+ 7 = 3 – 10z, Write the direction cosines ofthe line. 1 SECTION B Question numbers 7 to 19 carry4 marks each. 7. To promote the making of toilets for women, an organisation tried to generate awareness through(i) house calls (ii)letters, and (iii) announcements. The cost for each mode per attempt is givenbelow: (i) ` 50 (ii) ` 20 (iii) ` 40 Download From: http://www.cbseportal.com
  • 144. 128 The number ofattempts made in three villages X,Y, and Zare givenbelow: (i) (ii) (iii) X 400 300 100 Y 300 250 75 Z 500 400 150 Find the total cost incurred bythe organisation for the three villages separately, usingmatrices. Write one valuegenerated bythe organisationinthe society. 4 8. Solvefor x: tan–1 (x + 1) + tan–1 (x –1) = tan–1 31 8 4 OR Provethefollowing:                      x–z 1zx cot z–y 1yz cot y–x 1xy cot 1–1–1– = 0 (0 < xy, yx, zx < 1). 9. Using properties ofdeterminants,prove the following: 22 22 22 cbcbab acbaba cacbca    = 4 a2 b2 c2 . 4 Download From: http://www.cbseportal.com
  • 145. 129 10. Find the adjoint ofthe matrixA=           12–2 2–12 2–2–1– and hence show that A . (adjA) = | A| I3 . 4 11. Show that the function f(x) = | x – 1 | + | x + 1 |, for all x  , is not differentiable at the points x = – 1 and x = 1. 4 12. If y = em sin–1 x , then show that (1 – x2 ) dx dy x– dx yd 2 2 – m2 y = 0. 4 13. If f(x) = 1x 1x g(x);1x 2 2    ; and h(x) = 2x– 3, thenfind  ](x)gh[f  . 4 14. Evaluate:  (3 – 2x) . 2 x–x2  dx 4 OR Evaluate:    dx )2(x)1(x 1x 2 2 x 15. Find :  4 π 0 3 2xsin2xcos dx 4 16. Find :   dx 1)(x xlog 2 4 Download From: http://www.cbseportal.com
  • 146. 130 17. If kˆ5–jˆ4–iˆ3candjˆiˆ2b,kˆjˆ2iˆa   , then find a unit vector perpendi- cular to bothofthe vectors )b–c(and)b–a(  . 4 18. Find theequationofa linepassing throughthe point (1, 2, - 4)and perpendicular to two lines    kˆ7jˆ16–iˆ3λ,kˆ10jˆ19–iˆ8r   and  kˆ5jˆ29iˆ15r    kˆ5–jˆ8iˆ3μ  . 4 OR Find the equation of the plane passing through the points (-1, 2, 0), (2, 2, -1) and parallelto the line 1– 1z 2 12y 1 1–x     . 19. Three cards are drawn successivelywithreplacement froma wellshuflled pack of 52 cards. Find the probabilitydistributionofthe number ofspades. Hence find the meanofthedistribution. 4 OR For 6trials ofanexperiment, let X be abinomialvariate whichsatisfiesthe relation 9P(X = 4) = P(X = 2). Find the probabilityof success. SECTION C Question numbers 20 to 26 carry6 marks each. 20. Consider f:   ,9– given byf(x) = 5x2 + 6x – 9. Prove that fis invertible with f–1 (y) =          5 3–5y54 . 6 OR Download From: http://www.cbseportal.com
  • 147. 131 A binary operation * is defined on the set X = R – { – 1 } by x * y = x + y + xy, Xyx,  . Check whether* is commutative andassociative. Find its identityelement and also find theinverse ofeachelement ofX. 21. Find the value of p for when the curves x2 = 9p (9 – y) and x2 = p (y + 1) cut each other at right angles. 6 22. Using integration, prove that the curves y2 = 4x and x2 = 4ydivide the area ofthe square bounded by x = 0, x = 4, y = 4, and y = 0 into three equal parts. 6 23. Show that thedifferentialequation 2 2 x–xy y dx dy  is homogeneous and also solve it. 6 OR Find the particular solution ofthe differentialequation (tan–1 y– x) dy= (1 + y2 ) dx, given that x = 1 when y= 0. 24. Find the distanceofthe point P(3, 4, 4) fromthe point, where the line joining the pointsA(3, – 4, – 5) and B(2, – 3, 1) intersects the plane 2x + y + z = 7. 6 25. Acompanymanufactures three kinds ofcalculators :A, Band C initstwo factories I and II.The companyhas got anorder for manufacturing at least 6400 calculators ofkindA, 4000 ofkind B and 4800 ofkind C. The dailyoutput offactoryI is of50 calculators ofkindA, 50 calculators ofkind B, and 30 calculators ofkind C. The dailyoutput offactoryII is of40 calculators ofkindA, 20 ofkind Band 40 ofkind C. The cost per dayto runfactoryI is ` 12,000 and offactoryII is `15,000. How manydays do the two factories have to be inoperation to produce the order with the minimumcost ? Formulate this problemas an LPPand solve it graphically. 6 Download From: http://www.cbseportal.com
  • 148. 132 26. Inafactorywhichmanufacturesbolts,machinesA,BandCmanufacturerespectively 30%, 50% and 20% of the bolts. Of their outputs 3, 4 and 1 percent respectively are defectivebolts.Abolts isdrawn at randomfromthe product and is found to be defective. Findthe probabilitythat thisis not manufactured bymachine B. 6 QUESTION PAPER CODE 65/1/MT SECTION A Question numbers 1 to 6 carry 1 mark each. 1. Write a 3 × 3 skewsymmetric matrix. 1 2. Find theproduct ofthe orderand degree ofthefollowing differentialequation: 0y dx dy dx yd x 2 22 2 2             1 3. Write a differential equation for y =Acos α x + B sin αx, whereA and B are arbitraryconstants. 1 4. Write the projectionofvector kˆ–jˆ3iˆ2  along the vector jˆiˆ  . 1 5. Write the value of      jˆiˆkˆiˆkˆjˆkˆjˆiˆ  1 6. Write the direction cosines ofthe normal to the plane3x + 4y+ 12z = 52. 1 SECTION B Question numbers 7 to 19 carry4 marks each. 7. There are 3 familiesA, Band C. The number ofmen, womenand childrenin these families areas under: Download From: http://www.cbseportal.com
  • 149. 133 Men Women Children FamilyA 2 3 1 FamilyB 2 1 3 FamilyC 4 2 6 Dailyexpensesofmen,womenandchildrenare `200, ` 150and`200 respectively. Onlymenandwomenearnandchildrendo not.Usingmatrixmultiplication, calculate the dailyexpenses of each family. What impact does more children in the family create onthe society? 4 8. If tan–1 x + tan–1 y + tan–1 z = 2 π , x, y, z, > 0, then find the value ofxy + yz + zx. 4 9. Ifa  b  c and bac acb cba = 0, then using propertiesofdeterminants, prove that a + b + c = 0. 4 10. If X             642 9–8–7– 654 321 , thenfind the matrix X. 4 OR Find the inverse ofmatrixA=           22–5 5–615– 11–3 and hence show that AA –1 .A= 1. 11. Iffunction f(x) = | x – 3 | + | x – 4 |, then show that f(x) is not differentiable at x = 3 and x = 4. 4 Download From: http://www.cbseportal.com
  • 150. 134 12. If y = 2x e x  , find dx dy . 4 OR Iflog        y x tanyx 1–22 , thenshow that xy x–y dx dy   . 13. If y = 1–x–1x  , prove that (x2 – 1) 4 1 – dx dy x dx yd 2 2  y = 0. 4 14. Find:   dx x)cos(1xcos xcos–1 4 15. Evaluate:   dxxsinx –1 4 16. Find  2 0 (x2 + e2x+1 ) dx as the limit of a sum. 4 OR Evaluate:   π 0 dx xcosecxsec xtanx 17. Show that the lines 1– 1–y 3 1–x  , z + 1 = 0 and 3 1z 2 4–x   , y = 0 intersect each other.Also find their point ofintersection. 4 Download From: http://www.cbseportal.com
  • 151. 135 18. Let P(3, 2, 6) be a point inthe space and Q be a point on the line    kˆ2jˆ–iˆr  kˆ5jˆiˆ3–μ  thenfindthe value of μ forwhichthe vector PQ isparallelto the plane x - 4y + 3z = 1. 4 OR Find the vector and cartesianequations ofthe plane which bisects the line joining the points (3, - 2, 1) and (1, 4, - 3) at right angles. 19. Froma set of 100 cards numbered 1 to 100, one card is drawnat random. Find the probabilitythat the number on the card is divisible by6 or 8, but not by 24. 4 SECTION C Question numbers 20 to 26 carry6 marks each. 20. Show that the relation R in the set A= {I, 2, 3, 4, 5} givenby R = {(a, b) : | a – b | is divisible by2 } is anequivalence relation. Show that allthe elements of{1, 3, 5} are related to eachother and allthe elements of{2,4} are related to eachother, but no element of{1, 3, 5} is related to any element of {2, 4}. 6 21. Using integration, find the area bounded by the curves y= | x – 1 | and y= 3 – | x |. 6 22. Find the point on the curve 2 x1 x y   , where the tangent to the curve hasthe greatest slope. 6 23. Find thegeneralsolutionofthedifferentialequation 2 2 x–xy y dx dy  . 6 OR Solve the following differentialequation, given that y= 0, whenx = 4 π : sin 2x dx dy – y = tan x Download From: http://www.cbseportal.com
  • 152. 136 24. Find the vector and cartesian equations of the plane passing through the intersection of the planes  kˆjˆiˆr   = 6 and  kˆ4jˆ3iˆ2r   = – 5 and the point (1, 1, 1). 6 25. Assume that the chancesofapatient having a heart attack is40%. It is also assumed that a meditation and yoga coursereduces the risk ofheart attack by30%and the prescription ofa certain drug reduces its chance by 25%.At a time apatient can choose anyone of the two options with equal probabilities. It is given that after going throughone ofthe two optionsthe patient selected at randomsuffers a heart attack. Find the probabilitythat the patient followed a courseof meditation and yoga. 6 26. Adealer deals in two items only-itemAand itemB.He has `50,000 to invest and a space to store at most 60 items.An itemAcosts ` 2,500 and anitem B costs ` 500.Anet profit to himon itemAis ` 500 and on itemB ` 150.Ifhe cansellallthe items that hepurchases, how should heinvest his amount to have maximumprofit? Formulate anLPPand solve it graphically. 6 OR Adieticianwants to develop a specialdiet using two foods X andY. Eachpacket (contains 30 g) offood X contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitaminA. Each packet ofthe same quantityoffoodY contains 3 units of calcium, 20 units of iron, 4 units of cholesteroland 3 units of vitaminA.The diet requires at least 240 units ofcalcium, at least 460 units ofiron and at most 300 units ofcholesterol. Make an LPP to fmd how manypackets of eachfoodshould be used to minimise the amount ofvitaminAinthediet, and solve it graphically. Download From: http://www.cbseportal.com
  • 153. 137 Senior School Certificate Examination March — 2015 Marking Scheme ---- Mathematics General Instructions : 1. TheMarkingSchemeprovides generalguidelinesto reduce subjectivityinthemarking. The answersgivenintheMarkingSchemearesuggestive answers.Thecontentis thusindicative. Ifa student hasgivenanyotheranswer whichis different fromthe one giveninthe Marking Scheme, but conveys the meaning, suchanswers should be givenfullweightage. 2. Evaluation is to be done as per instructions provided inthe marking scheme. It should not be done according to one's own interpretation or any other consideration __ Marking Scheme shouldbe strictlyadhered to and religiouslyfollowed. 3. Alternative methods are accepted. Proportionalmarks are to be awarded. 4. Inquestion(s)ondifferentialequations, constant ofintegrationhasto be written. 5. If a candidate has attempted an extra question, marks obtained in the question attempted first should be retained and the other answer should be scored out. 6. A full scale of marks - 0 to 100 has to be used. Please do not hesitate to award full marks if the answer deserves it. 7. Separate Marking Scheme for allthe three sets has been given. Download From: http://www.cbseportal.com
  • 154. 138 QUESTION PAPER CODE 65/1/D EXPECTEDANSWERS/VALUE POINTS SECTION -A 1. 7 8 b ba p      ½ + ½ m 2. 7λ0 3λ0 112 131  ½ + ½ m 3. 6 π θ1θcos 3 πcos 2 πcos 222  ½ + ½ m 4. 2 1 2 32 a23    ½ + ½ m 5. 0 dr dv r2 dr vd r, r A dr dv 2 2 2 2  ½ + ½ m 6. x2 dx x 1 eeFI.    ½ + ½ m SECTION - B 7. GettingA 2 =              210 529 215 1½ m                                        400 000 004 055 15510 5010 2–10 529 215 I45AA2 1 m Marks Download From: http://www.cbseportal.com
  • 155. 139               245 1031 311 1 m             245 1031 311 X ½ m OR              143 212 201 A 1 m     011095291A  ½ m              145 278 289 AAdj 2 m                 145 278 289 A 1 ½ m 8. f (x) = aaxax 1aax 01a 2   R 2  R 2 – x R 1 and R 3  R 3 – x 2 R 1 f (x) = axax0 1xa0 01a 2    (For bringing 2 zeroes in any row/column 1+1 m  f (x) = a (a 2 + 2ax + x 2 ) = a (x + a) 2 1 m  f (2x) – f (x) = a [2x + a] 2 – a (x + a) 2 = a x (3x + 2a) 1 m Download From: http://www.cbseportal.com
  • 156. 140 9.               x2cos1xcos1xcos1 dxxsin xcos21xsin dx 2xsinxsin dx 1 m         2t1t1t1 dt – where cos x = t ½ m                 dt 2t1 3 4 t1 2 1 t1 6 1 1½ m c2t1log 3 2 t1log 2 1 t1log 6 1  ½ m cxcos21log 3 2 xcos1log 2 1 xcos1log 6 1  ½ m OR         dx x1 x13x2 dx x1 13xx 2 2 2 2 ½ m       dxx1dx x1 x 3dx x1 1 2 2 22 1 m cxsin 2 1 x1 2 x x13xsin2 1221   (½+1+1) m or   cx1x6 2 1 xsin 2 3 21   10.         π π π π 22 π π 2 dxbxsinaxcos2dxbxsinaxcosdxbxsinaxcosI = I1 – I2 ½ m    π 0 22 1 dxbxsinaxcos2I (being an even fun.) 1 m I2 = 0 (being an odd fun.) 1 m    π 0 1 dx2bxcos12axcos1II ½ m π 02b 2bxsin 2a 2axsin 2x        ½ m 2πor 2b 2bπsin 2aπsin 2a 1 2π        ½ m Download From: http://www.cbseportal.com
  • 157. 141 11. Let E1 : selecting bagA, and E2 : selecting bag B.     3 2EP, 3 1EP 21  ½ + ½ m LetA: Getting one Red and one black ball     15 7 C CC EAP, 15 8 C CC EAP 2 10 1 3 1 7 2 2 10 1 6 1 4 1      1+1 m          2211 EAPEPEAPEPAP  45 22 15 7 3 2 15 8 3 1  1 m OR x : 0 1 2 3 4 ½ m P (x) : 4 0 4 2 1 C                   2 1 2 1 C 3 1 4 22 2 4 2 1 2 1 C             3 3 4 2 1 2 1 C             4 4 4 2 1 C       1½ m : 16 1  16 4  16 6  16 4  16 1  ½ m x P (x) : 0 16 4 16 12 16 12 16 4 x2 P (x) : 0 16 4 16 24 16 36 16 16 ½ m Mean = 2 16 32 P(x)x  ½ m     12 16 80 P(x)xP(x)xVariance 222   ½ m 12. ^^^^^^ jzky–ikzjyixir         1½ m ^^^^^^ izkxjkzjyijr         x 1½ m xykxjoizky–jziojr,ir ^^^^^^^                           ½ m 0xyxyxyjrir               ½ m Download From: http://www.cbseportal.com
  • 158. 142 13. Anypoint onthe line  212λ1,4λ2,3λis 12 2z 4 1y 3 2x       1 m Ifthis is the point ofintersection with plane x– y+ z = 5 0λ05212λ14λ–23λthen  1 m  Point ofintersection is (2, –1, 2) 1 m Required distance =       131025112 222  1 m 14. Writing 2 11- 1)(x1 1 sin1)(xcot    1½ m and 2 11 x1 1 cosxtan    1½ m                        2 1 2 1 x1 1 coscos 1x1 1 sinsin ½ m 2 1 xx112xx1 22  ½ m OR       8 5π xtan 2 π xtan 8 5π xcotxtan 22 121 2 2121         1 m   0 8 3π xtanπxtan2 2 121   1½ m 4 π, 4 π3 4 3πππ xtan 22 1    1 m  x = – 1 ½ m Download From: http://www.cbseportal.com
  • 159. 143 15. Putting x2 = cosθ , we get ½ m             cosθ1cosθ1 cosθ1cosθ1 tany 1 ½ m                        2 θtan1 2 θtan1 tan 2 θsin 2 θcos 2 θsin 2 θcos tan 11 1 + ½ m 21 xcos 2 1 4 π 2 θ 4 π y   ½ m 44 x1 x –2x x1 1 2 1 dx dy     1 m 16. θcosbθsina dθ dx  ½ m θsinbθcosa dθ dy  ½ m y x θcosbθsina θsinbθcosa dx dy     1½ m or 0x dx dy y  01 dx dy dx dy dx yd y 2 2  1 m Using (i) we get 01 dx dy y x dx yd y 2 2  ½ m 0y dx dy x dx yd y 2 2 2  Download From: http://www.cbseportal.com
  • 160. 144 17. Let xbe the side ofan equilateraltriangle dt dx  = 2 cm/s. 1 m Area (A) = 4 x3 2 1 m dt dx x 2 3 dt dA  1 m scm320(2)20)( 2 3 dt dA 2  1 m 18. Writing x + 3 = –   124 2 1  x 1 m        dx2x7dxx4x32x4 2 1 dxx4x33x 222 ½+½ m   c 7 2x sin 2 7 x4x3 2 2x x4x3 3 1 122 3 2            1+1 m 19. HF. M P                                7875 6125 7000 50 100 25 405035 304025 205040 C B A 1½ m Funds collected byschoolA: Rs. 7000, School B : Rs. 6125, School C : Rs. 7875 1 m Totalcollected : Rs. 21000 ½ m For writing one value 1 m Download From: http://www.cbseportal.com
  • 161. 145 SECTION - C 20.  a, bN, (a, b) R (a, b) as ab (b + a) = ba (a + b)  R is reflexive .................... (i) 2 m Let (a, b) R (c, d) for (a, b), (c, d) NN  ad (b + c) = bc (a + d) .................... (ii) Also (c, d) R (a, b)  cb (d + a) = da (c + b) (using ii)  R is symmetric .................... (iii) 2 m Let (a, b) R (c, d) and (c, d) R (e, f), for a, b, c, d, e, f, N  ad (b + c) = bc (a + d) and cf (d + e) = de (c + f) 1 m cf fc de ed and ad da bc cb       c 1 f 1 d 1 e 1 and a 1 d 1 b 1 c 1 i.e  adding we get c 1 f 1 a 1 d 1 d 1 e 1 b 1 c 1   af (b + e) = be (a + f) Hence (a, b) R (e, f)  R is transitive ................... (iv) ½ m Form(i), (iii) and (iv) R is an equivalence relation ½ m 21. Correct Fig. 1 m Eqn. ofnormal (OP) : y = x3 ½ + ½ m Eqn. oftangent (PQ) is x)(4 3 1 yi.e.1)(x 3 1 3y  1 m Coordinates of Q (4, 0) ½ m Download From: http://www.cbseportal.com
  • 162. 146    4 1 1 0 dxx4 3 1 dxx3areaReq. ½+½ m 4 1 21 0 2 2 x 4x 3 1 2 x 3           1 m 32 2 1 4816 3 1 2 3        sq. units ½ m OR    3 1 23x2 n 2 hheredx1xe ½ m          h1n1f........2h1fh1f1fhlim 0h   1 m       ......4h4h2eh2h2e2ehlim 26h123h11 0h        22h1)-3(n1 h1nh1n22e   1 m        22221)h(n36h3h1 0h 1n...21h1)(n....212h2ne.....ee1ehlim    1½ m                       6 h2nhhnhnh 2 hnhnh 22nhh 1e 1e .ehlim 3n 3nh 1 0h 1 m     3 32 3 1e e 3 8 44 3 1e .e 6 1 6 1           1 m Download From: http://www.cbseportal.com
  • 163. 147 22. Givendifferentialequationcanbe writtenas 2 1 2 y1 ytan x y1 1 dy dx      1 m  Integratingfactor is y1 tan e  1 m  Solution is :       2 ytan1 ytan y1 e.ytan ex 1 1 dy 1½ m tytanwheredtetex 1tytan 1    1 m   c1ytaneceet 1ytantt 1   1½ m or y– tan1 1 ec1ytanx    OR Givendifferentialequationis 2 x y1 x y dx dy        2 v1 v dx dv xvgettov x y Putting   1½ m 2 3 2 v1 v v v1 v dx dv x      1½ m     x dx dv v 1v 3 2 ½ m cxlog 2v 1 vlog 2  1 m c 2y x ylog 2 2  1 m 0 2y x ylog0c1y0,x 2 2  ½ m Download From: http://www.cbseportal.com
  • 164. 148 23. Anypoint online  14λ1,3λ1,2λis 4 1z 3 1y 2 1x       1 m 2 9 khence, 2 3 λ 1 14λ 2 k13λ 1 312λ        2½ m Eqn. ofplanecontaining three linesis 0 121 432 1z1y1x   1 m  – 5 (x – 1) + 2 (y + 1) + 1 (z – 1) = 0 1 m i.e. 5x – 2y – z – 6 = 0 ½ m 24.       15 2 BPAP 15 2 BAP  1 m       6 1 BPAP 6 1 BAP  1 m            15 2 BPAPBPor 15 2 BPAP1  ................. (i) 1 m            6 1 BPAPAPor 6 1 BP1AP  ......................(ii) 1 m From(i) and (ii)     30 1 15 2 6 1 BPAP  ½ m Let P (A) = x, P (B) = y        y 30 1 x (i) 0429y30y 15 2 yy 30 1 y 2        ½ m Solving to get 5 4yor 6 1y  6 5xor 5 1x  ½ m Hence         5 4BP, 6 5APOR 6 1BP, 5 1AP  ½ m Download From: http://www.cbseportal.com
  • 165. 149 25. f (x) = sin x – cos x, 0 < x < 2 π   1,xtanor0xsinxcos0xf  1 m 4 7π , 4 3πx  1 m   xsin–xcosxf  1 m   MaximaLocalis 4 3πxso,vei.e 2 1 2 1 4 3πf  1 m and   MinimaLocalis 4 7πxso,vei.e 2 1 2 1 4 7πf  1 m LocalMaximumvalue 2 2 1 2 1  ½ m LocalMinimumvalue 2 2 1 2 1  ½ m 26. Correct graphs ofthree lines 1x3 = 3 m Correctly shading feasible region 1 m Vertices are A (0, 2), B (1.6, 1.2), C (2, .0) 1 m Z = 2x+ 5yis maximum atA(0, 2) and maximumvalue = 10 1 m Download From: http://www.cbseportal.com
  • 166. 150 QUESTION PAPER CODE 65/1/A EXPECTEDANSWERS/VALUE POINTS SECTION -A 1. getting 1A  ½ m 1An  ½ m 2. Order 2 and degree = 1 ½ m sum = 3 ½ m 3. Writing     22 x1 dxx –dy y1 y ½ m Getting cx1y1 22  ½ m 4. 2 OCOA OB   ½ m a2bOC  ½ m 5. Unit VectorPerpendicular to ba ba banda    [Findingor using] ½ m RequiredVector kˆ7jˆ11iˆ  ½ m 6. Writingstandard form 3 z 12– y 2 x and 6 z 2 y 3 x     ½ m Finding 2 π θ  ½ m Marks Download From: http://www.cbseportal.com
  • 167. 151 SECTION - B C P 7.                   331800 551900 452400 422 264 BFamily AFamily 2 m Writing MatrixMultiplicationas       33215800 57624600 1 m Writing about awareness ofbalanced diet 1 m Alt: Method Taking the givendata for allMen, allWomen, allChildren for eachfamily, the solutionmust be givenmarks accordingly 8.                                         4 π 25 1 1 5 2 tantan 4 π 5 1 tantan 11 1 m =             4 π 12 5 tantan 1 1 m = 7 17 12 5 1 1 12 5    1+1 m 9. Writing C1  C2 A = – 2 cc1 bb1 aa1 3 3 3 Download From: http://www.cbseportal.com
  • 168. 152 R1  R1 – R2 & R2  R2 – R3 A = – 2 cc1 cbcb0 baba0 3 33 33   1+1 m A = – 2 (a – b) (b – c) cc1 1bccb0 1baba0 3 22 22   1 m = – 2 (a – b) (b – c)  2222 cbcbbaba  ½ m = 2 (a – b) (b – c) (c – a) (a + b + c) ½ m 10. A = I A A 100 010 001 013 321 210                      1 m Using elementaryrowtransformations to get A 135 269 123 100 010 001                         2 m                135 269 123 A 1 1 m OR                                   30 12 9 3 2 2 087 806 760 AC 1 m Download From: http://www.cbseportal.com
  • 169. 153                                   2 8 1 3 2 2 021 201 110 BC 1 m            28 20 10 BCAC ½ m                          3 2 2 068 1005 870 CBA ½ m            28 20 10 1 m Yes, (A + B) C = AC + BC 11. f (x) =         1xif12x 1x0if1 0xif12x 1½ m Only possible discontinuties are at x = 0, x= 1 at x = 0 : at x = 1 L. H. limit = 1 : L. H. limit = 1 1 m f (0) = R. H. limit = 1 : f (1) = R. H. limit = 1  f(x) is continuous in the interval(– 1, 2) ½ m At x = 0 L. H. D = – 2  R. H. D = 1 1 m  f(x) is not differentiable in the interval(– 1, 2) 12. x = a (cos 2t + 2t sin 2t) y = a (sin 2t – 2t cos 2t) Download From: http://www.cbseportal.com
  • 170. 154 t2cosat4 dt dx  1 m t2sinat4 dt dy  1 m t2tan dx dy  ½ m dx dt t2sec2 dx yd 2 2 2  1 m t2cosat2 1 dx yd 32 2  ½ m 13. x y = log x – log (ax + b) differentiating w.r.t. x, 1 m b)(axx b bax a x 1 x y dx dy x 2       b)(ax bx y dx dy x   ................... (1) 1 m differentiating w.r.t.x again   22 2 b)(ax abxbbax dx dy dx dy dx yd x    2 2 2 2 b)(ax b dx yd x   1 m Download From: http://www.cbseportal.com
  • 171. 155 Writing 2 2 2 3 bax bx dx yd x         ................... (2) ½ m From (1) and (2)  2 2 2 3 y dx dy x dx yd x        ½ m 14.     dx xsinxx xcos1xxsinx I     1 m     dx xsinx xcos1 dx x 1 put x + sin x = t 2 m  (1 + cos x) dx = dt cxsinxlogxlog  1 m OR       dx 1x1x 11xx1x I 2 2     ½ m          1x1x dx dx 1x 1xx 22 2 1 m dx 1x 1 2 1 1x x 2 1 1x 1 2 1 1x x 1 222               1½ m cxtan 2 1 1xlog 2 1 1xlog 4 1 x 12   1 m Download From: http://www.cbseportal.com
  • 172. 156 15.         2 π 0 22 22 π 0 2 dx x4tan1xtan1 xsec xtan41 dx I 1 m Put tan x = t                0 0 22 0 22 t21 dt 3 4 t1 dt 3 1 t41t1 dt I 1 m               0 1 0 1 t2tan 23 4 ttan 3 1 1 m 6 π 2 π 3 2 2 π 3 1              1 m 16.      4 π 0 22 dx 2xcosxsin xcosxsin I 1½ m Put sin x – cos x = t  t = – 1 to 0 1 m (cos x + sin x) dx = dt    0 1 22 2t dt I 0 1 2t 2t log 4 1        1 m  3log0 4 1  ½ m 3log 4 1       Download From: http://www.cbseportal.com
  • 173. 157 17. Writing         baλd 723 241 kji λ ^^^   1 m        ^^^ k14ji32λ ................... (1) 1 m 27dc   27k14ji32λk4ji2 ^^^^^^              27λ9  1 m 3λ  ^^^ k42j3i96d   1 m 18. Lines are parallel ½ m           b baa DS. 12 1 m ^^^^^^ 12 k4j3i2bandk2j2iaa   29b, 432 221 kji baa ^^^ 12         1½ + ½ m Download From: http://www.cbseportal.com
  • 174. 158 29 145 or 29 5 29 ki2 DS. ^^    ½ m OR Required equationofplane is   (1)094z3y5xλ3zy2x  1 m       03λ94λ1z3λ1y5λ2x  1 m (1) is parallelto 5 5z 4 3y 2 1x            04λ153λ145λ22  6 1 λ  1 m (1)  7x + 9y – 10 z – 27 = 0 1 m 19. P (step forward) = 5 2 , P (step backword) = 5 3 ½ m He canremain a step awayin either ofthe ways : 3 steps forward & 2 backwards 1 m or 2 steps forward & 3 backwards  required possibility 32 2 5 23 3 5 5 3 5 2 C 5 3 5 2 C                          2 m 125 72  ½ m OR Download From: http://www.cbseportal.com
  • 175. 159 Adieis thrown Let E1 be the event ofgetting 1 or 2 Let E2 be the event of getting 3, 4, 5 or 6 LetAbe the event ofgetting a tail     3 2EP, 3 1EP 21  1 m 2 1 E AP&, 8 3 E AP 21            1 m                              2 2 1 1 2 2 2 E APEP E APEP E APEP A E P 1 m 2 1 3 2 8 3 3 1 2 1 3 2    11 8  1 m SECTION - C 20. Here R = { whereS,3baandba,:b)(a,  S is the set of all irrational numbers.} (i) irrationalis3aaasRa)(a,,a   R is reflexive 1½ m (ii) Let for   irrationalis3bae.i.Rba,,ba,    Rab,S3abirrationalis3ba  Hence R is symmetric 2 m Download From: http://www.cbseportal.com
  • 176. 160 (iii)      cb,a,for,Rcb,andRba,Let S3cbandS3ba  Rc)(a,HenceS32cagettoadding  2½ m  R is Transitive OR  fe,d,c,b,a,           fe,*dbc,afe,*dc,*ba,  1 m  fdbe,ca   (3)           fde,c*ba,fe,*dc*ba, ,  1 m  fdbe,ca   (4)  * isAssociative Let (x, y) be on identityelement in   (a, b) * (x, y) = (a, b) = (x, y) * (a, b)  a + x = a, b + y = b x = 0 , y = 0 2 m  (0, 0) is identityelement Let the inverse element of(3, – 5) be (x1 , y1 ,)  (3, – 5) * (x1 , y1 ) = (0, 0) = (x1 , y1 ) * (3, – 5) 3 + x1 = 0, – 5 + y1 = 0 x1 = – 3 , y1 = 5  (– 3, 5) is an inverse of (3, – 5) 2 m Download From: http://www.cbseportal.com
  • 177. 161 21. Fig. ½ m x 2 + y 2 = 4. OP is  to AB θsec2OA; OA 2 θcos  ½ m   OB 2 θ90cos o  OB = 2 cosecθ ½ m θ)cosecθ(sec2OBOASLet  ............................. (1) 1 m  θcotθcosecθtanθsec2 dθ dS  1m          θcosθsin θcosθsin 2 22 33 ................................................... (2) for maxima orminima 0 dθ dS  , 4 π θ  1 m 4 π θwhen0 dθ Sd (2) 2 2  1 m  OA + OB is minimum  OA + OB = 4 2 unit ½ m Download From: http://www.cbseportal.com
  • 178. 162 22. Figure ........ ½ m y= 4mx  (1) and y2 = 16 ax  (2) 1 m 2 m a x  Required area   22 m a 0 m a 0 dxx4mdxxa4 2 m  2 2 m a 0 2m a 0 2 3 x2m–xa 3 8     = 3 2 3 2 3 2 m a 3 2 m 2a m a 3 8  2 m given 12 a m a 3 2 2 3 2  m3 = 8 m = 2 ½ m Download From: http://www.cbseportal.com
  • 179. 163 23. 2yx dx dy y)(x  yx 2yx dx dy            x yf x y 1 x y 21 dx dy ................................ (1)  differentialequationis homogeneous Eqn. 1 m y = vx to give v1 v21 dx dv xv    ½ m      x dx dv vv1 v1 2 1 m                      x dx 2 3 2 1 v dv 2 3 dv vv1 12v 2 1 222 1½ m cxlog 3 12v tan3vv1log 2 1 12          1 m cxlog 3x x2y tan3 x yxyx log 2 1 1 2 22            1 m OR     0 dx dy kyhx  1 m   0 dx dy dx yd ky1and 2 2 2        1 m Download From: http://www.cbseportal.com
  • 180. 164   2 2 2 dx yd dx dy 1 ky                 1 m (1)   dx dy dx yd dx dy 1 hx 2 2 2         1 m Putting inthe giveneqn. 2 2 2 2 2 2 2 2 2 2 2 2 r dx yd dx dy 1 dx dy dx yd dx dy 1                                                   1 m 2 2 2 2 32 dx yd r dx dy 1or                       1 m 24. Eqn. ofa plane through and Points A(6, 5, 9), B (5, 2, 4) & C (– 1, – 1, 6) is 0 236 232 956     zyx 2½ m  3x – 4y + 3z – 25 = 0  (2) 1½ m distance from (3, – 1, 2) to (2) units 34 6 9169 25649 d     2 m Download From: http://www.cbseportal.com
  • 181. 165 25. Possible values of x are 0, 1, 2 and x is a random variable 1½ m x: P(x) x P(x) x2 P(x) 0 42 20 C CC 2 7 2 5 0 2 = × 0 0 For P (x) 1½ m 1 42 20 C CC 2 7 1 5 1 2 = × 42 20 42 20 For x P (x) ½ m 2 42 2 C CC 2 7 0 5 2 2 = × 42 4 42 8 For x2 P (x) ½ m 42 28 P(x)x; 42 24 P(x)x 2 ∑∑ == 1 m [ ]22 P(x)xP(x)xvar; 7 4 P(x)xMean ∑ ∑∑ −=== iance 1 m 147 50 Variance = 147 50 49 16 3 2 =−= 26. Correct graphs of 3 lines 3 m Correctly shading feasible region ½ Vertices are A (10, 0), B (2, 4), C (1, 5) & D (0, 8) 1 m Z=3x+5yisminimum at B (2, 4) and the minimum Value is 26. 1 m on Plotting (3x + 5y < 26) sincetheseitnocommonpointwiththefeasible region, Hence, x = 2, y = 4 gives minimum Z ½ m Download From: http://www.cbseportal.com
  • 182. 166 QUESTION PAPER CODE 65/1/B EXPECTEDANSWERS/VALUE POINTS SECTION -A 1. x = 2 , y = 9 (½ for correct x or y)  x + y = 111 ½ m 2. order 3 , or degree 1 ½ m  Degree + order = 4 ½ m 3. x 2 xlogx y dx dy  (Standard form) ½ m I.F. = log x ½ m 4. 6–x0ba   ½ m 102or40y  ½ m 5. γsinaβsinaαsina 222222  ½ m = 2 a2 ½ m 6. using ba ba θsin      ½ m o 0θ  ½ m SECTION - B 7. [15000 15000]             100 x 100 2 = [1800] 2 m Marks Download From: http://www.cbseportal.com
  • 183. 167  300 + 150x = 1800 1 m  x = 10% yes : compassionate or anyother relevant value 1 m 8. 2 1–1– 1)(x1 1 sin1)(xcot   1½ m and 2 1–1– x1 1 cosxtan   1½ m                     2 1– 2 1– x1 1 coscos 1)(x1 1 sinsin 2 1 –xx112xx1 22  1 m OR 31 17 tan– 5 3 sin2 1–1– = 31 17 tan– 4 3 tan2 1–1– 1 m = 31 17 tan– 7 24 tan 1–1– 1 m = 4 π 1tan 1–  1+1 m 9. ,CCCC 3211  (a + b + c) 0 ba1 ac1 cb1  1 m 133122 R–RR,R–RR  Download From: http://www.cbseportal.com
  • 184. 168 )0cba(0 c–bb–a0 c–ab–c0 cb1   2 m  – a2 – b2 – c2 + ab + bc + ca = 0 ½ m  2 1 – [(a – b)2 + (b – c)2 + (c – a)2 ] = 0 ½ m  a = b = c 10. A 100 010 001 120 352 01–1                       1 m ,R2–RR 122  A 100 012– 001 120 370 01–1                       322 R3–RR  A 100 3–12– 001 120 010 01–1                       233211 R2–RR,RRR  A 72–4 3–12– 3–11– 100 010 001                        (2 marksfor alloperations)            72–4 3–12– 3–11– A 1– 1 m Download From: http://www.cbseportal.com
  • 185. 169 11. f (x) = x –          1x0,x 0x,0 0x1–,x–2x x)–(1x–xx–x 2 2 2 1 m f(x)being a polynomialiscontinuous on    1,00,1–  0)x–(2xltf(x)lt 2 0x0x ––   ½ m 0xltf(x)lt 2 0x0x    ½ m Also, f(0) = 0 f(x)limf(0)f(x)lim 0x0x –    1 m  There is no point ofdiscontinuityon[– 1, 1] 1 m 12.  x)b(alog–xlog x y  ½ m xba b – x 1 x y– dx dy x 2   1 m xba ax y– dx dy x   ................................... (i) 1 m Differentiatingagain,  2 2 2 2 xba a dx yd x   1 m 22 2 2 3 y– dx dy x xba ax dx yd x               (using (i)) ½ m 13. 2 1– 2 1– x–1 2– dx du xcos2 1–2x 1 secu        1½ m 2 2 x–1 x– dx dv x–1v  1 m 4 x 2 dx dv 2 1  x 1½ m Download From: http://www.cbseportal.com
  • 186. 170 14. Let     2 π 0 dx xcossin x xcos3xsin5 I .................. (i)     2 π 0 dx xsinxcos xsin3xcos5 I ........ (ii)           a 0 a 0 dxx)–f(adxf(x) 1½ m Adding (i)and (ii) 1+1 m 2 I =   2 π 0 π4dx18 ½ m π2I  OR put log x = t  x = et  dx = et dt 1 m dt t 1 tloge 2 t         dt t 1 t 1 t 1 –tloge 2 t                     1½ m c t 1 –tloget        1 m   c xlog 1 –xloglogx        ½ m 15. dx xsinxxcos xcosx I    1 m put cos x + x sin x = t  x cos x dx = dt 1 m =  t dt 1 m = log sin xxxcos  + c 1 m Download From: http://www.cbseportal.com
  • 187. 171 16.         dx 1x1–x 1 1x 1x1–x dxx 22 4           1 m (usingpartialfractions) =     dx 1x 1x 2 1 – 1–x dx 2 1 dx1x 2    1½ m =   cxtan 2 1 –1xlog 4 1 –1–xlog 2 1 x 2 x 1–2 2  1½ m 17.       kˆ–jˆ2–iˆAC kˆ5–iˆ2–AB 1 m kˆ4jˆ7–iˆ10–ACAB  1 m 165ACAB  ½ m ACAB ACAB nˆ    1 m =   165 kˆ4–jˆ7iˆ10 or 165 kˆ4jˆ7–iˆ10–  ½ m 18.         kˆ 6 1 jˆiˆb,kˆjˆ2–a kˆ 12 1 –jˆ 2 1 iˆb,iˆ–a 22 11   1 m kˆjˆ2–iˆa–a 12   ½ m kˆ 2 1 jˆ 4 1 –iˆ 6 1 bb 21   ½ m 12 7 bb 21   1 m S.D. =     2 bb bba–a 21 2112      1 m Download From: http://www.cbseportal.com
  • 188. 172 OR Foot of perpendicular are (0, b, c) & (a, 0, c) 1 m Equ. ofrequired plane 0 c0a cb0 zyx  2 m  bcx + acy – abz = 0 1 m 19. p (x = 2) = 9 . P(x = 3) 1 m 03 3 32 2 3 qpC9qpC  1 m 32 p9)p–(1p3  1 m 4 1 p  1 m OR Let H1 be the event that redballis drawn H2 be the event that black ball is drawn E be the event that both balls are red P(H1 ) = 8 3 , P(H2 ) = 8 5 1 m P(E/H1 ) = , 9 2 01 5 2 2 C C  P(E/H2 ) = 15 1 01 3 2 2 C C  1 m P(E) = P(H1 ) P(E/H1 ) + P(H2 ) . P(E/H2 ) 1 m = 8 1 15 1 8 5 9 2 8 3  1 m Download From: http://www.cbseportal.com
  • 189. 173 SECTION - C 20. * 0 1 2 3 4 5 6 0 0 1 2 3 4 5 6 1 1 2 3 4 5 6 0 2 2 3 4 5 6 0 1 3 3 4 5 6 0 1 2 4 4 5 6 0 1 2 3 5 5 6 0 1 2 3 4 6 6 0 1 2 3 4 5 4 m  a {0, 1, 2, 3, 4, 5, 6} a * 0 = a = 0 * a  0 is identity 1 m  a {1, 2, 3, 4, 5, 6} a * b = 0 = b * a  a * (7 – a) = 0 = (7 – a) * a  (7 – a) is inverse of a 1 m 21. A = y (x + 4) 1 9 y 16 x 22  Let z = )x–(16 16 9 y4)(x)x–(16 16 9 A 22222  .......... (i) 1 m 3 x)(4x)–(4 16 9  1 m Download From: http://www.cbseportal.com
  • 190. 174 4x)–(8x)(4 16 9 dx dz 2  1 m 2x0 dx dz  1 m 4x)–(8x)(4 8 9 x)(4 4 9 – dx zd 2 2 2  0 dx zd 2 2 2  x 1 m  Maximum value ofA= 39 sq. units 1 m 22. 1 m RequiredArea =   2 0 2 0 2 dxx–2–dxx–4 2 m = 2 0 2 2 0 1– 2 2 –2– 2 sin 2 4 2 x–4                x x xx 1+1 m =  2–π sq. units 1 m Download From: http://www.cbseportal.com
  • 191. 175 23. 22 yx xy dx dy   put y = v x dx dv xv dx dy  1 m x dx – v v1 3 2    1 m Integratingbothsides cxlog–vlog v2 1 – 2  1 m cylog 2y x – 2 2  when x = 1, y = 1  c = – 2 1 1 m 2 22 2y y–x log  y ½ m when x = x0 , y = e e3x0  1½ m OR I F = xsecee xseclogdxxtan  1 m xtanxsecxxsec3xx)sec(y dx d 32  1 m   cdxxsec3x–xsecxdxxsec3xxsecy 232 2 m  y = x3 + c cos x when 27 2π– cgetwe;0y, 3 π x 3  1 m xcos 27 2π –xy 3 3  1 m Download From: http://www.cbseportal.com
  • 192. 176 24. Equation ofline is 5 1–z 3– 4–y 2 3–x  1 m Equationofplane is 0 1–3–2 2–01 2–z1–y2–x  1 m  2x + y + z – 7 = 0 ..................................... (i) 1 m generalpoint ongivenline 1)λ54,λ3–3,λ(2  lieson (i) 1 m 3 2 –λ07–1)λ(54)λ(–33)λ(22  1 m  Point of intersection       3 7 –,6, 3 5 1 m 25. Let H1 : be the event 1, 2 appears H2 : be the event 3, 4, 5, 6 appears 1 m E : be the event that head appears P(H1 ) = 3 1 6 2  , P(H2 ) = 3 2 6 4  1 m P(E/H1 ) = 8 3 P(E/H2 ) = 2 1 1 m P(H2 /E) = )(E/HP)(HP)(E/HP)(HP )(E/HP)(HP 2211 22   1 m = 11 8 2 m OR Let H1 : be the event that 4 occurs H2 : be the event that 4 does not occurs 1 m E : be the event that manreports 4 occurs on a throw ofdice Download From: http://www.cbseportal.com
  • 193. 177 P(H1 ) = 6 1 , P(H2 ) = 6 5 1 m P(E/H1 ) = 5 3 P(E/H2 ) = 1 – 5 2 5 3  1 m P(H1 /E) = )(E/HP)(HP)(E/HP)(HP )(E/HP)(HP 2211 11   1 m = 13 3 2 m 26. Let us consider the man invested on x electronic and ymanuallyoperated machines Maximise P = 220 x + 180 y............................... (i) 1 m subject to x + y < 20 3600 x + 2400 y < 57600  3x + 2y < 48 1½ m x, y > 0 (1 mark for plottingeach line) = 2 m (½ to find the vertices offeasible region) Rs.3520P 0)(16,A  Rs.3920P )21(8,B  Rs.3600P )20(0,C  Maximum profit is Rs. 3920 at x = 8, y= 12 1 m Download From: http://www.cbseportal.com
  • 194. 178 QUESTION PAPER CODE 65/1/C EXPECTEDANSWERS/VALUE POINTS SECTION -A 1. 507ba,kˆ7jˆ13iˆ17ba  ½+½ m 2. 3 2π θ, ba ba θcos    ½ + ½ m 3. 7 13 distance, n pna d    ½ + ½ m 4. 2xsine2x 1 m 5. x y dx dy mx,y  ½ + ½ m 6. xlogfactorgIntegratin, x 2 y xlogx 1 dx dy  ½ + ½ m SECTION - B 7. A 2 =           988 898 889 1½ m A 2 – 4A – 51 = O 500 050 005 488 848 884 988 898 889                                        1 m  4IA 5 1 AO514AA 12   1 m Marks Download From: http://www.cbseportal.com
  • 195. 179                                               322 232 223 5 1 400 040 004 122 212 221 5 1 A 1 ½ m OR A 100 010 001 310 015 102                       1 m Using elementaryrowoperations to reach at A 225 5615 113 100 010 001                         2 m               225 5615 113 A 1 1 m 8. 0 6x2x1x 2x1x6x 1x6x2x     3211 CCCC  0 6x2x73x 2x1x73x 1x6x73x     1 m 133122 RRR,RRR  0 741 371 1x6x73x     2 m     3 7 x03773x   1 m Download From: http://www.cbseportal.com
  • 196. 180 9.      2 π 0 2 π 0 2 dx xcosxsin 1 I2dx xcosxsin xsin I 1 m    2 π 0 2 2 dx 2 xtan1 2 x tan2 2 xsec I2        1 0 22 t 2 x tanwhere,dt 21t 1 I 1½ m 1 0 21t 21t log 22 1 I            1 m 21 21 log 22 1 I    ½ m OR    2 1- 3x n 3 hheredx57xe ½ m     ...........h1f1hlim 0h   f        12h1n7e......12-7he12ehlim h1n33h33 0h    1 m       nh121n....3217he......ee1ehlim h1n36h3h3 0h    1 m                    12nh 2 hnhnh7 1e h1ee hlim h3 nh33 0h 1 m   2 9 e3 1e 36 2 63 3 1ee 3 993       ½ m Download From: http://www.cbseportal.com
  • 197. 181 10.   dx 2xx x 24 2    txwhere 1t2t t 2tt t 2xx x 2 224 2       1½ m    1t3 1 2t3 2     1½ m            dx 1x3 1 dx 2x3 2 dx 2xx x 2224 2 c 1x 1x log 6 1 2 x tan 23 2 1      1 m 11. Let E1 : two headed coin is chosen E2 : unbiased coin is chosen A : All 5 tosses are heads ½ m     32 1 E AP,1 E AP, 5 4 EP, 5 1 EP 21 21            2 m                              2 2 1 1 1 1 1 E APEP E APEP E APEP A E P ½ m 9 8 32 1 5 4 1 5 1 1 5 1 A E P 1          1 m OR Let the coinis tossed n times 100 80 (0)P1  1½ m Download From: http://www.cbseportal.com
  • 198. 182 5 1 (0)P  ½ m 5 1 2 1 2 1 C 0n 0 n             1 m 3n 5 1 2 1 n       1 m 12.   kˆ2jˆ3iˆ3DA,kˆ3–iˆCA,kˆ4jˆ1xiˆBA  1½ m   0DA,CA,BA  1 m 0 233 301 41x1     1 m x = 4 ½ m 13.    kˆ6jˆ3iˆ2λkˆ2jˆ2iˆ4r  1 m Let L bethe foot ofperpendicular Position vector ofLis       kˆ26λjˆ23λiˆ42λ  ½ m    kˆ16λjˆ3λiˆ32λPL   ½ m       016λ63λ332λ2bPL  0λ  1 m kˆiˆ3PL  units10PL  1 m Download From: http://www.cbseportal.com
  • 199. 183 14.   2 π xsin2x1sin 11             xsin2 2 π sinx1 1 1 m  xsin2cosx1 1  1 m 1 – x = 1 – 2 x2 1 m 2 1 0,x  ½ + ½ m x = 2 1 is rejected OR L.H.S 31 17 tan 5 3 sin2 11   31 17 tan 4 3 tan2 11   1 m = 31 17 tan 7 24 tan 11   1 m                 31 17 7 24 1 31 17 7 24 tan 1 1 m 4 π 625 625 tan 1         1 m Download From: http://www.cbseportal.com
  • 200. 184 15. y = eax cos bx y1 = aeax cos bx – b eax sin b x 1 m y1 = ay – b eax sin b x 1 m y2 = ay1 – b [aeax sin bx + b eax cos b x] 1 m y2 = ay1 – a beax sin bx – b 2 eax cos b x y2 = a y1 – a (ay – y1 ) – b 2 y y2 – 2 a y1 + (a 2 + b 2 ) y = 0 1 m 16. bxyx ayxx  0 dx dw dx dv dx du ,yw,xv,xuLet xyx  ½ m  xlog1x dx du x  1 m        xlog dx dy x y x dx dv y 1 m        ylog dx dy y x y dx dw x 1 m              1xy x1yx yxxlogx ylogyxyxlog1x dx dy ½ m Download From: http://www.cbseportal.com
  • 201. 185 17.      t22cost2cos1t2sin2sin2ta at dx  1 m   t2cos1t2sin2t2cost2sin2b dt dy  1 m         t2cos2t2cos1t2s2sin ta t2cos1t2sin2t2cost2sin2b dx dy    in 1 m a b 1 2 b ttan a b tcost3cosa4 tsint3cosb4  1 m 18.   dxe 5x 3x x 3       dxe 5x 2 5x 1 x 32    1 m        dxe 5x 2 dxe 5x 1 x 3 x 2 ½ m             dxe 5x 2 dxe 5x 2 e 5x 1 x 3 x 3 x 2 2 m =   c 5x e 2 x   ½ m F M T 19.                                6625 5250 5450 50 100 25 752035 551540 701230 z y x 1½ m Funds collected by school x : 5450, school y = 5250 school z = 6625 1 m Totalcollected funds = 17325 ½ m For writing any value 1 m Download From: http://www.cbseportal.com
  • 202. 186 SECTION - C 20. (i) Let (e, e ) be the identityelement inAA (a, b) * (e, e ) = (a, b) = (e, e ) * (a, b) (a e , b + a e ) = (a, b)  01,:identity 0ebeab 1eaae      2 ½ m (ii) Let (x, y) is inverse of(a, b) A (a, b) * (x, y) = (1, 0) = (x, y) * (a, b) (a x , b + a y) = (1, 0)                   a b , a 1 ba,ofinverse a b y0yab a 1 x1ax 2 ½ m           5 3 , 5 1 35,ofInverse ½ m  8–,24, 2 1 ofInverse       ½ m OR One – One : - Case I : when x and y are even f (x) = f (y)  x + 1 = y + 1  x = y Case II : when x and y are odd f (x) = f (y)  x – 1 = y – 1  x = y Case III : one of them is even and one of them is odd f (x)  f (y)  x + 1  y – 1  x  y 2 ½ m Download From: http://www.cbseportal.com
  • 203. 187 Onto : Let y W f (y – 1) = y if y is odd f (y + 1) = y if y is even So  y  W, there exist some element in domain off  fis invertible 2½ m         evenisx,1x oddisx,1x xf 1 1 m 21. Figure 1 m For finding (– 1, 0) , (1, 0) (2, 0) 1½ m       2 1 1 1 2 1 2 dx1xdx1xdxx5Area 1½ m     2 1 2 1 1 22 1 12 2 1x 2 1x 5 x sin 2 5 x5 2 x                        1 ½ m 1 2 1 4 2 1 5 1 sin 2 5 1 5 2 sin 2 5 1 11               2 1 5 1 sin 5 2 sin 2 5 11         sq. units ½ m 22. x2 dy = (2 xy + y2 ) dx 2 2 x yxy2 dx dy   ½ m dx dv xv dx dy vxy  1 m Download From: http://www.cbseportal.com
  • 204. 188     dx x 1 dv vv 1 v2v dx dv xv 2 2 2 m clogxlog 1v v log    1 m cx xy y cxlog xy y log      1 m x = 1, y = 1 2 1 c  x2 + xy – 2 y = 0 ½ m OR Givendifferentialequationcanbe writtenas 2 xtanm 2 x1 e y x1 1 dx dy 1      1 m Integratingfactoris xtan 1 e  1 m Solutionis dxe x1 e ey xtan 2 xtanm xtan 1 1 1        1½ m   txtanwhere,dteey 1-t1mxtan 1    1 m     c 1m e 1m e xtan1mt1m 1-       1 m 1m m c0x1,y     1m m 1m e ey xtan1m xtan 1- 1       ½ m Download From: http://www.cbseportal.com
  • 205. 189 23. f (x) = sin2 x – cos x f (x) = sin x (2 cos x + 1) 1 m f (x) = 0  sin x = 0 and 2 cos x + 1 = 0  x = 0, π, 3 π 2 2½ m     1πf, 4 5 3 2π f,10f        1½ m Absolute maximumvalue is 4 5 ½ m Absolute minimumvalueis – 1 ½ m 24. Two lines 2211 bμarandbλar  are coplanar if     0bbaa 2112  1 m Here        0kˆ3jˆiˆ2kˆjˆiˆkˆjˆ3iˆ  2 m Equationofplane is     0bbar 211  1 m        0kˆ3jˆiˆ2kˆjˆiˆkˆjˆiˆr         02kˆjˆiˆ2r   2 m 25. Correct graphofthree lines 1×3 m correct shadingoffeasible region 1 m      Download From: http://www.cbseportal.com
  • 206. 190 vertices are             4 15 , 2 3 , 2 3 0, ,  0,2, 4 3 , 2 7       1 m z = 5x + 2 yis maximum and19 4 3 , 2 7 at       minimumat 3 2 3 ,0       1 m 26. x: 2 3 4 5 6 1 m P (x) : 15 1 15 2 15 3 15 4 15 5 2 m x . P (x) : 15 2 15 6 15 12 15 20 15 30 ½ m x2 P (x) : 15 4 15 18 15 48 15 100 15 180 ½ m 3 14 15 70 P(x)xMean   1 m 9 14 9 196 – 15 350 (Mean)P(x)xVariance 22   1 m Download From: http://www.cbseportal.com
  • 207. 191 QUESTION PAPER CODE 65/1/G EXPECTEDANSWERS/VALUE POINTS SECTION -A 1.             43 52– – 23 42 3 ½ m        26 78 ½ m 2. y = e– x + ax + b  y = – e– x + a ½ m y = e– x or 2 2 dx yd = e– x ½ m 3. Order = 2, degree = 2 (any one correct) ½ m Sum = 2 + 2 = 4 ½ m 4.   ABofsrd. : 1,–5 – a, b– 3 ;   BCofsrd. are – 4,16,9– b or   ACofsrd. :– 3,11 – a, 6 ½ m getting a = – 1, b = 1, a + b = 0 ½ m 5. 5 3 θcos 5 4 20 16 θsin16θsinba   ½ m 21θcbaba  os  ½ m 6. 222 (–2)(–1)2 6–9 d   ½ m = 1 ½ m Marks Download From: http://www.cbseportal.com
  • 208. 192 SECTION - B 7. LHS = sin             xtan2 x–1 2x cot 1– 2 1– 1 m = sin             xtan2 x–1 2x tan– 2 π 1– 2 1– 1 m = sin        xtan2xtan2– 2 π 1–1– 1 m = sin 1 2 π  = R.H.S 1 m OR tan– 1 4 π 6x 5x 6–x 5–x –1 6x 5x 6–x 5–x                    2 m        4 π tan 25x–36–x 6–x5x6x5–x 22    1 m  2x2 = 49 ½ m  2 7 x  ½ m 8. L.H.S. = 22 22 22 b–a–12a–2b 2aba–1ab2 2b–ab2b–a1   322311 Ra–RR,RbRR  Download From: http://www.cbseportal.com
  • 209. 193 =     22 2222 2222 b–a–12a–2b ba1aba10 ba1b–0ba1   1+1 m =   22 222 b–a–12a–2b a10 b–01 ba1  1 m Expandingandgetting   R.H.S.ba1Δ 322  1 m 9. A 2 =           65–5 5–65– 55–6 1½ m A 2 – 5 A + 4 I =                                400 040 004 105–5 5–105– 55–10 – 65–5 5–65– 55–6 = O 1 m Pre multiplyingbyA –1 and getting A –1 =  A–I5 4 1 ½ m and A –1 = 4 1             311 131 113 1 m OR A = I A 1 m  A 100 010 001 013 321 210                      Download From: http://www.cbseportal.com
  • 210. 194 21 RR  A 100 001 010 013 210 321                      1 m 133 R3–RR  A 13–0 001 010 9–5–0 210 321                      233211 R5RR,R2–RR  A 13–5 001 012– 100 210 1–01                      322311 R2–RR,RRR  A 13–5 2–69– 12–3 100 010 001                      [operatingRow wise to reachat this step] 2½ m            13–5 2–69– 12–3 A 1– ½ m 10. A Candidate who has made anattempt to solvethe question to be given 4 marks 4 m 11. y = – x3 log x ½ m dx dy = – x2 (1 + 3 log x) 1 m Download From: http://www.cbseportal.com
  • 211. 195 2 2 dx yd = – (5x + 6x log x) 1 m L.H.S. = x [– (5x + 6x log x)] + 2x2 (1 + 3 log x) + 3x2 1 m = 0 ½ m = R.H.S. OR f (x) = (x – 4)] (x – 6) (x – 8) = x3 – 18 x2 + 104 x – 192 Beingapolynomialfunctionf(x)is continuous in [4, 10] and differentiable in(4, 10) with (x)f = 3x2 – 36 x + 104 1+1 m a–b (a)f–(b)f (c)fsuch that10)(4,c   3 c2 – 36c + 104 = 8 1½ m  c = 4, 8 ; c = 4  (4, 10)  c = 8 : verifies the theoren ½ m 12. Given y)–(xlog–alog y–x x  ½ m Differentiating both sides and getting [ x  y] 0 dx dy y2y–x  2½ m y x–2y dx dy  y x –2 dx dy  1 m Download From: http://www.cbseportal.com
  • 212. 196 13.     5 3 53 1xx dx I          5 3 5 33 x 1 1xx dx 1½ m Put t x 1 1 5  5 dt – x dx 6  1 m   Ct 2 1 –dtt 5 1 –I 5 2 5 3– 1 m C x 1 1 2 1 – 5 2 5        ½ m 14.   4 2 4 2 4 2 dx4–xdx3–xdx2–xI ½ m          4 2 4 3 3 2 4 2 dx4–x–dx3–xdx3–x–dx2–x 2 m 4 2 24 3 23 2 24 2 2 4x– 2 x –3x– 2 x 3x– 2 x –2x– 2 x                          1 m = 5 ½ m OR       4 π 0 22 4 π 0 2 dx xsin21xcos xcos dx xsin21 xsec I       4 π 0 2 dx xsin21xsin1xsin–1 xcos 1 m Download From: http://www.cbseportal.com
  • 213. 197 Put sin x = t  cos x dx = dt, when x = 0, t = 0 2 1 t, 4 π x  ½ m         2 1 0 2 t21t1t–1 dt I           2 1 0 2 2 1 0 2 1 0 t213 dt2 t16 dt t–16 dt I 1 m   2 1 0 1– t2tan 3 2 t–1 t1 log 6 1          1 m  1tan 3 2 2 1 –1 2 1 1 log 6 1 1–      26 π 223log 6 1 26 π 12log 3 1  or ½ m 15.         2 π 4 π 2x dx x2cos–1 2xsin–1 eI         2 π 4 π 2 2x dx xsin2 xcossin2–1 e         2 π 4 π 22x dxcot x–xcosec 2 1 e 1½ m Put 2x = t 2 dt dx  Download From: http://www.cbseportal.com
  • 214. 198 when πt, 2 π x; 2 π t, 4 π x  1 m         π 2 π 2t dt 2 t cot– 2 t cosec 2 1 e 2 1 I π 2 π t e 2 t cot 2 1 –        1 m 2 e 2 π  ½ m 16. Let kˆ6jˆ4iˆ2OB,kˆ21jˆ8iˆ4OA  kˆ5jˆ8iˆ5OD,kˆ4jˆ5iˆ3OC  kˆ7–iˆAD,kˆ8–jˆ3–iˆ–AC,kˆ6–jˆ4–iˆ2–AB  1½ m Now,   0 7–01 8–3–1– 6–4–2– ADACAB  2 m  A, B, C, D are coplanar ½ m 17. Let E1 : Event that transferred ballis black E2 : Event that transferred ballis Red E3 : Event that balls drawnare black P(E1 ) = 9 5 , P(E2 ) = 9 4 1 m P(A/E1 ) = , 14 5 C C 2 8 2 5  P(A/E2 ) = 14 3 C C 2 8 2 4  1 m P(E1 /A) = )(A/EP)(EP)(A/EP)(EP )(A/EP)(EP 2211 11   ½ m Download From: http://www.cbseportal.com
  • 215. 199 = 14 3 9 4 14 5 9 5 14 5 9 5   1 m = 37 25 ½ m 18. Equation ofline joining (4, 3, 2) and (1, – 1, 0) is 2– 2–z 4– 3–y 3– 4–x  ½ m Equation ofline joining (1, 2, – 1) and (2, 1, 1) is 2 1z 1– 2–y 1 1–x   ½ m Let equation ofthe required line be λ c 1–z b 1y a 1–x    ................ (i) ½ m According to the question 3a + 4b + 2c = 0 a – b + 2c = 0 1 m Solving, μ 7– c 4– b 10 a  7μ–c,4μ–b,10μa  ½ m. (i)  Equation ofthe line is 7– 1–z 4– 1y 10 1–x    [cartesian form] ½ m Vector form,    kˆ7–jˆ4–iˆ10λkˆjˆ–iˆr   ½ m Download From: http://www.cbseportal.com
  • 216. 200 19.                     5100 3100 2500 426 354 643 C B A HWRH 1 m            41600 40800 50500 1 m Hence money awarded byA = Rs. 50500 money awarded by B = Rs. 40800 1 m money awarded by C = Rs. 41600 Respect for elders or Anyrelevant value 1 m SECTION - C 20.       Rdc,b,a,dbc,adc,ba,  Since   RRdbc,aRdbandRca  1½ m i.e. ‘*’ is binaryoperation For commutative consider (c, d) * (a, b) = (c + a, d + b) = (a + c, b + d) = (a, b) * (c, d) 1½ m  ‘*’ is commutative ForAssociative Let (a, b), (c, d), (e, f) ARR  [(a, b) * (c, d)] * (e, f) = (a + c, b + d) * (e, f) = (a + c + e, b + d + f) ...........(i) again (a, b) * [(c, d)] * (e, f)] = (a, b) * (c + e, d + f) = (a + c + e, b + d + f) ...........(ii) 1½ m Download From: http://www.cbseportal.com
  • 217. 201 (i) & (ii)  ‘*’ is associative For identityelement Let (e1 , e2 ) RR  be the identityelement (ifexists) then (a, b) * (e1 , e2 ) = (a, b) = (e1 , e2 ) * (a, b)  (e1 , e2 ) = (0, 0) RR  1½ m OR f (x) = x2 – x ; x {– 1, 0, 1, 2} f (– 1) = 2, f (0) = 0, f (1) = 0, f (2) = 2  f = {(– 1, 2), (0, 0), (1, 0), (2, 2)} 2 m  x1– 2 1 –x2(x)g {– 1, 0, 1, 2} g (– 1) = 2, g (0) = 0, g (1) = 0, g (2) = 2  g = {(– 1, 2), (0, 0), (1, 0), (2, 2)} 2 m (g of) (x) = g (f (– 1), g (f (0), g (f (1), g (f (2) Ax  = 2, 0, 0, 2  g of = {(– 1, 2), (0, 0), (1, 0), (2, 2)} 2 m Hence f = g = g o f 21. Givencurve cuts the x – axis wheny = 0 ½ m when y = 0, x = 7, hence point is (7, 0) ½ m 65x–x 5)–(2xy–1 dx dy 2   2½ m 20 1 dx dy )0,7(    ½ m Equation of the tangent is y – 0 = 7)–(x 20 1 1 m  x – 20y = 7 Download From: http://www.cbseportal.com
  • 218. 202 Equation of the normal is y – 0 = – 20 (x – 7) 1 m  20x + y = – 7 OR  π0,xx,sinxcos(x)f 2  )1sin2(–xcos(x)f  x 1 m For extremum, 6 5π , 6 π xor 2 π x0(x)f  1½ m Now f (0) = 1,   1πf, 4 5 6 5π f1, 2 π f, 4 5 6 π f                   1½ m Absolute max. is 6 5π and 2 π xat 4 5  1 m Absolute min. is 1 at x = 0, πand 6 π 1 m 22. y = x + 1 , x = – 2 , x = 3 01y 1–0x For correct figure 1 m Reqd area      3 1– 1– 2– dx1xdx1x 2 m 3 1– 21– 2– 2 x 2 x x 2 x              2 m unitssq. 2 17  1 m Download From: http://www.cbseportal.com
  • 219. 203 23. (y – sin x) dx + (tan x) dy = 0 dx dy  + cot x y = cos x 1 m Linear diff. equ. with P = cot x, Q = cos x I.F. = sin x 1 m Solution is y . sin x =   cdxsin xxcos = c2xcos 4 1 –  2 m when x = 0, y = 0 4 1 c  1 m Particular solutionis y sin x =   2 xsin 12xcos– 4 1 2  xsin 2 1 y  1 m 24. srd  of first line : k – 5, 1, 2k + 1 1 m srd  of 2nd line : – 1, k, 5 1 m  lines are  – 1 (k – 5) + k (1) + 5 (2k + 1) = 0  k = – 1 1 m Eqns of lines become 5 z 1– 2–y 1– 2x and 1– 5–z 1– 1–y 6– 3x     1 m Eqn ofplane containing these two lines is 0 51–1– 1–16– z2–y2x   1 m  4 x + 31 y + 7z = 54 1 m Download From: http://www.cbseportal.com
  • 220. 204 25. Let x kg of B1 and y kg of B2 is taken thento minimize Z = 5x + 8y 1 m subject to the following constraints 3 m x + y = 5, x < 4, y > 2 x > 0, y > 0 Graph 2 m 26. Let x denote no. ofheads here 2 1 q, 2 1 p  1 m r–nr r n 2 1 2 1 Cr)(xP              n r n 2 1 C        1 m Now n 1 n 2 1 C1)(xP        n 2 n 2 1 C2)(xP        1½ m n 3 n 2 1 C3)(xP        According to the question   n 3 n 1 n n 2 n 2 1 CC 2 1 C2.             2 m  n = 2 or 7 ½ m n can not be 2 Hence n = 7 Download From: http://www.cbseportal.com
  • 221. 205 QUESTION PAPER CODE 65/1/P EXPECTEDANSWERS/VALUE POINTS SECTION -A 1. 19–A  ½ m        23– 5–2– 19 1 –A 1– ½ m 2. c dx dy  ½ m 2 dx dy dx dy xy              ½ m 3. 2 –1 2 y1 ytan y1 x dy dx     ½ m I.F. = ytan 1– e ½ m 4.     0abaaba   1 m 5. jˆ3iˆ3ba   ½ m   3cba   ½ m 6. 1– 2–z 3 4–y 0 3x   ½ m D.Rs are 0, 3, –1 ½ m SECTION - B 7.                     5 15 20 361826 281522 341225 C B A 1½ m Marks Download From: http://www.cbseportal.com
  • 222. 206            970 805 850 1½ m Anyrelevant value 1 m 8.                         2 x tan ba b–a 1 2 x tan ba b–a –1 cos 2 x tan ba b–a tan 2 2 1–1– 1½ m =             2 x tanb– 2 x tanaba 2 x tanb 2 x tana–ba cos 22 22 1– 1 m =                                      2 x tan–1b 2 x tan1a 2 x tan1b 2 x tan–1a cos 22 22 1– ½ m =                           2 x tan1 2 x tan–1 ba b 2 x tan1 2 x tan–1 a cos 2 2 2 2 1– ½ m =         xcosba bxcosa cos 1– ½ m OR 4 π 3x 2x tan 3–x 2–x tan 1–1–               Download From: http://www.cbseportal.com
  • 223. 207 4 π 3x 2x 3–x 2–x –1 3x 2x 3–x 2–x tan 1–                     1½ m 4 π 5– 21–2x tan 2 1–        1½ m 2 7 x1 5– 12–2x 2 2  ½ m 2 7 x  For writing no solutionas 1x ½ m 9.                                 2–1–0 52–9 21–5 01–1 312 102 01–1 312 102 A2 2 m                                 1600 0160 0016 05–5 15510 5010 – 2–1–0 52–9 21–5 I615A–A2 1 m            1445– 10–91– 3–1–11 1 m 10. Taking x from R2 , x (x – 1) from R3 and (x + 1) from C3 12–x3– 11–x2 1x1 1)(x1)–(xxΔ 2  2 m Download From: http://www.cbseportal.com
  • 224. 208 C,–CC;Cx–CC 33122  = 42–4x3– 1–x–1–2 001 1)–(xx 22 1 m = 42–4x 1–x)(11– 1)–(xx 22  ½ m = )x–(16x 22 ½ m 11.  2t)cos(1t2cos2t2sint2sin2–α dt dx  1 m  2t)sin2t)2cos–(1–t2cost2sin2β dt dy  1 m    2tcos2t4cos2α 2tsin2–t4sin2β dt dx dt dy dx dy               ½+1 m = ttan α β tcost3cos2 tsint3cos2 α β  ½ m 12. Let y =              1x 1–x cos x–x x–x cos 2 2 1– 1– –1 1– 1 m         2 2 1– x1 x–1 cos–π 1 m xtan2–π 1–  1 m 2 x1 2 – dx dy   1 m Download From: http://www.cbseportal.com
  • 225. 209 13. Let y = x1– x 2 x1 sincos         Let u = x1– xv; 2 x1 sincos          y = u + v dx dv dx du dx dy  ½ m                           2 x1 – 2 π coscos 2 x1 sincosu 1–1– ½ m 2 x1 – 2 π   x122 1 – dx du   ............................ (i) ½ m x xv  xlogxvlog  xlog1xlog1 x 1 x dx dv v 1   xlog1x dx dv x  .......................................(ii) 1½ m  xlog1x x122 1 – dx dy x    ½ m 4 3 1 4 1 – dx dy 1xat        ½ m Download From: http://www.cbseportal.com
  • 226. 210 14. dx 22 2 I 2 π 0 xcosxsin xsin    .......................... (i)                             a 0 a 0 2 π 0 x– 2 π cosx– 2 π sin x– 2 π sin dxx)–f(adx(x)usingdx 22 2 1½ m dx 22 22 π 0 xcosxsin xcos    ..............................(ii) 1 m (ii),and(i)Adding   2 π xdx1I2 2 π 0 2 π 0   1 m 4 π I  ½ m OR dxx)(πcosxI 2 3 0  dxxπcosx–dxxπcosx 2 3 2 1 2 1 0  1 m               2 3 2 1 2 3 2 1 2 1 0 2 1 0 dx π xπsin– π xπsinx –dx π xπsin – π xπsinx 1½ m     2 3 2 1 2 1 0 xπcos π 1 2π 1 2π 3 xπcos π 1 2π 1 22  0 2π 1 2π 3 π 1 – 2π 1 2  1 m 2 π 1 – 2π 5  ½ m Download From: http://www.cbseportal.com
  • 227. 211 15.   dxxtanxcotI   dx xcosxsin xsinxcos    1 m     dx xcotxsin2–1–1 xsinxcos 2    1 m   dx xcos–xsin–1 xsinxcos 2 2   ½ m   dtdxxsinxcostxcos–xsinPut  ½ m ctsin2 t–1 dt 2I 1– 2   ½ m   cxcos–xsinsin2 1–  ½ m 16.     dx 1xx 1x –1dx 1xx 1–x I 22 3             1 m  dx 1xx 1x –x 2    ½ m 1I–x   1x x–1 x 1 1x CxB x A 1xx 1x Let 222        1 m   xtan1xlog 2 1 –xlogdx 1x x–1 x 1 I 1–2 21     1 m cxtan–1xlog 2 1 xlog–xI 1–2  ½ m Download From: http://www.cbseportal.com
  • 228. 212 17. Here              kˆ3jˆ–iˆ8–AD kˆ3jˆ4iˆ–AC kˆ2–jˆ6–iˆ4–AB 1½ m For them to be coplanar, 0ADACAB      1½ m 066–12660– 31–8– 341– 2–6–4– i.e.  ½ m coplanarareDandCB,A,Points ½ m 18. Here γββγ–β δααδ–α d)(a–cba–bd)–(a–c–b    2½ m 311 CCC γβββ δααα d–a–cba–ba–b 2      ½ m  identicalareCandC0 21 ½ m coplanararelinesgivenHence ½ m OR D.R’ s of normalto the plane are 5, – 4, 7 1 m D.R’ s of y – axis : 0, 1, 0 ½ m If θ is the angle between the planeand y–axis, then 2 2 2 2 2 2 2 1 2 1 2 1 212121 cbacba ccbbaa θsin    1 m 103 4–  1 m Download From: http://www.cbseportal.com
  • 229. 213        103 4– sinθ 1–        103 4 sinisangleAcute 1– ½ m 19. Let E be theevent ofgetting number greater than 4  P(E) = 3 1 and P 3 2 )E(  ½+½ m Required Probability= P ....)orEEEEEEorEEEEorEE( 1 m              ............. 3 1 3 2 3 1 3 2 3 1 3 2 53 1 m                      ............. 3 2 3 2 1 9 2 42 ½ m 5 2 5 9 9 2  ½ m OR A = {(5, 6, 1), (5, 6, 2), (5, 6, 3), (5, 6, 4), (5, 6, 5), (5, 6, 6),} P (A) = , 36 1 666 6   P (B) = P (getting 3 or 4 on the third throw) 1½ m BA  = {(5, 6, 3), (5, 6, 4)}  P BA  = 108 1 666 2   1½ m P(B/A) =     3 1 AP BAP   1 m SECTION - C 20. Let y = (fog) (x) [say y = h (x)] = f [g (x)] = f (x3 + 5) 2½ m Download From: http://www.cbseportal.com
  • 230. 214 = 2 (x3 + 5) – 3 = 2 x3 + 7 2½ m (y)h 2 7–y x 1–3  ½ m 31– 2 7–x (fog)  ½ m OR Let (x, y) be the identityelement in Q × Q, then             QQba,ba,*yx,ba,yx,ba,  1½ m  (ax, b + ay) = (a, b)  a = ax and b = b + ay  x = 1 and y = 0 1 m  (1, 0) is the identity element in Q × Q ½ m Let (a, b) be the invertible element in Q × Q, then there exists   thatsuchQQβα,           01,ba,*βα,βα,*ba,  1½ m   0)(1,aβb,aα  1 m a b –β, a 1 α         a b –, a 1 isAinelementinvertiblethe ½ m 21. f(x) = 2x3 – 9 m x2 + 12 m2 x + 1, m > 0 (x)f = 6x2 – 18 m x + 12 m2 1 m (x)f  = 12x – 18 m 1 m Download From: http://www.cbseportal.com
  • 231. 215 For Max.or minimum, (x)f = 0  6x2 – 18 m x + 12 m2 = 0  (x – 2 m) (x – m) = 0  x = m or 2 m 1 m At x = m, (x)f  = 12m – 18m = – ve  x = m is a maxima 1 m At x = 2 m, (x)f  = 24m – 18m = + ve  x = 2m is manimum 1 m  p = m and q = 2 m ½ m Given p2 = q  m2 = 2 m  m2 – 2 m = 0  m = 0, 2  m = 2 as m > 0 ½ m 22. y = 2 + x (i) y = 2 – x (ii) x = 2 (iii), y1 is the value ofyfrom(i) and y2 is the value ofyfrom(ii) RequiredArea =   2 0 21 dxy–y 1 m correct graph 1+1+1 m       2 0 dxx–2–x2 correct shading 1 m         2 0 2 0 2 2 x 2dxx2 ½ m unitssq.4 ½ m Download From: http://www.cbseportal.com
  • 232. 216 23. Let the equation ofline be y = mx + c 1½ m the lineis at unit distancefromthe origin 2 2 m1c1 m1 c0 i.e.    1½ m 2 m1xmy  .................................. (i) 1 m m dx dy  1 m 2 dx dy 1 dx dy xy        1 m OR                 x y 2 x y 31 xy2 3yx dx dy 2 22 ......................(i) 1 m Differentialequationishomogeneous Put y= v x dx dv xv dx dy  1½ m 2v 3v1 dx dv xv 2   1 m 2v v1 dx dv x 2            x dx dv v1 v2 2 1 m clogxlogv1log 2  1 m xcv1 2  322 2 xcyxorxc x y 1        ½ m Download From: http://www.cbseportal.com
  • 233. 217 24. Equationofplane passing through(1, 0, 0) a (x – 1) + b (y – 0) + c (z – 0) = 0 or a x + b y + c z – a = 0 ................................ (i) 1 m Plane (i) passesthrogh (0, 1, 0) b – a = 0 ..........................................(ii) ½ m Angle between plane (i) and plane x + y = 3 is 4 π ½ m  2cba ba 4 π cos 222    1 m 2cba ba 2 1 222    1 m 222 cbaba  ii)(usingc2a2a 22  (iii)..........................a2c  1 m becomes(i)Equation 00)–(za20)–(ya1)–(xa  01–z2yx  ½ m 21,1,isnormaltheofD.R's  ½ m Download From: http://www.cbseportal.com
  • 234. 218 25. Let E1 , E2 and E be the events such that E1 : studentsresiding inhostel E2 : studentsresiding outside hostel 1½ m E : studentsgetting ‘A’grade  P(E1 ) = 100 40 , P(E/E1 ) = 100 50 2 m P(E2 ) = 100 60 , P(E/E2 ) = 100 30 P(E1 /E) = )(E/EP)(EP)(E/EP)(EP )(E/EP)(EP 2211 11   1 m = 100 60 100 30 100 50 100 40 100 50 100 40   1 m = 19 10 ½ m 26. Let x be the man helpers and ybe the woman helpers Pay roll : Z = 225 x + 200 y 1 m Subject to constraints : x + y < 10 3x + 4y > 34 ½×4 =2 m 8x + 5y > 68 x > 0, y > 0           Download From: http://www.cbseportal.com
  • 235. 219 correct graph : 2 m 2720Rs.(A)Z, 5 68 0,AAt         Minimum2150Rs.(B)Z,46,BAt  ½ m 2550Rs.(C)Z,0, 5 34 CAt       4)(6,at2150Rs.ZMinimum  ½ m [Feasible regionis unbounded and to check minimum of Z, 225x + 200 y < 2150 corresponding line is outside oftheshaded region] Download From: http://www.cbseportal.com
  • 236. 220 QUESTION PAPER CODE 65/1/RU EXPECTEDANSWERS/VALUE POINTS SECTION -A 1. 3–3–3– yxz zyxzyxzyx Δ   ½ m = 0 ½ m 2. order 2, degree 1 (anyone correct) ½ m sum= 3 ½ m 3. ycotx. y1 2y dy dx 2    ½ m Integratingfactor =    2y1log y1ore 2  ½ m 4.        aˆ2cˆcˆbˆbˆaˆ22cˆbˆaˆ2cˆbˆaˆ2 222 2  ½ m 6cˆbˆaˆ2  ½ m 5. jˆiˆ– 011 111 kˆjˆiˆ ba   ½ m unit vector is 2 jˆ 2 iˆ –  ½ m 6. 10 1– 10 3–z 15 1 15 7y 5 1 5 3–x    ½ m Direction cosines are 7 3– , 7 2 , 7 6 or 7 3 , 7 2– , 7 6– ½ m Marks Download From: http://www.cbseportal.com
  • 237. 221 SECTION - B 7.                                39000 23000 30000 40 20 50 150400500 75250300 100300400 2 m cost incurred respectivelyfor three villagesis Rs. 30,000, Rs. 23,000, Rs. 39,000 1 m One value : Women welfare or Anyother relevant value 1 m 8.                  31 8 tan 1–x1x–1 1–x1x tan 1–1– 2 m 31 8 x–2 2x 2   4x2 + 31x – 8 = 0 1 m , 4 1 x  – 8 (Rejected) 1 m OR L.H.S. =                      zx1 x–z tan yz1 z–y tan xy1 y–x tan 1–1–1– 2 m      RHS0 xtan–ztanztan–ytanytan–xtan –1–1–1–1–1–1 2 m 9. ccbb abba caca abc cbcbab acbaba cacbca 22 22 22        Taking a, b & c common from C1 , C2 and C3 1 m ccbcb abba cacca abc2     Download From: http://www.cbseportal.com
  • 238. 222 3211 CCCC  and taking 2 common from C1 1 m b–cbcb b–bba 0cca abc2     133 C–CC  1 m b–cbcb 0c–c–a 0cca abc2    322 R–RR  ½ m Expand by C3 , = 2 abc (– b) (– ac – c2 – ac + c2 ) = 4a2 b2 c2 ½ m 10. Adj A = 27A; 36–6– 6–36– 663–            2+1 m A. Adj A = 3IA 100 010 001 27 36–6– 6–36– 663– 12–2 2–12 2–2–1–                                 1 m 11. f (x) = 1x1–x  L          2– 1x 1x2– lim 1––x 2–1x–1–x– lim(–1)f –– 1)(–x1)(–x        1 m R        0 1x 0 lim 1––x 2–1x1–x– lim(–1)f 1)(–x1)(–x        1 m (x)f02–  is not differentiable at x = – 1 L      0 1–x 0 lim 1–x 2–1x1–x– lim(1)f –– 1x1x     1 m R     2 1–x 1–x2 lim 1–x 2–1x1–x lim(1)f 1x1x      1 m (x)f20  is not differentiable at x = 1 Download From: http://www.cbseportal.com
  • 239. 223 12. 2 xsinm xsinm x–1 em dx dy getwe“x”,w.r.t.atedifferenti,ey –1 1–  1½ m dx dy x–1 2  = my, Differentiateagain w.r.t. “x” dx dy m dx dy x–1 x – dx yd x–1 22 2 2  1½ m   (my)m dx dy x–1m dx dy x– dx yd x–1 2 2 2 2        ½ m   0ym– dx dy x– dx yd x–1 2 2 2 2  ½ m 13. f (x) = 3–2x(x)h, 1x 1x (x)g,1x 2 2     Differentiating w.r.t. “x”, weget   2(x)h, 1x x–2x–1 (x)g, 1x x (x)f 22 2 2      1+1½+1 m    5 2 (x)ghf  ½ m 14.                  dxx–x22x–1dx 2 1 –x– 2 3 2dxx–x22x–3 2 22 2 2 m   cx–x2 3 2 2 3 2 1 –x sin 8 9 x–x2 2 2 1 –x 2 2 3 21–2                           2 m or                cx–x2 3 2 3 1–2x sin 4 9 x–x2 2 1–2x 2 3 21–2 OR Download From: http://www.cbseportal.com
  • 240. 224            dx 2x 1 5 3 dx 1x 12x 5 1 dx 2x1x 1xx 22 2 2 m        dx 2x 1 5 3 dx 1x 1 5 1 dx 1x 2x 5 1 22 ½ m c2xlog 5 3 xtan 5 1 1xlog 5 1 1–2  1½ m 15.   4 π 0 4 4 π 0 3 dx tan x2xcos 1 dx x2sin2xcos 1 1 m =    4 π 0 2 2 dxxsec xtan2 xtan1 1 m =   1 0 2 dt t t1 2 1 Taking, tan x = t; 1 m = 1 0 2 5 t 5 2 t2 2 1      ½ m = 5 6 5 2 2 2 1        ½ m 16.          dx 1x 1 x 1 1x 1– xlogdx 1x 1 xlog 2 2 m =     dx 1x 1 –dx 1 1x xlog– x 1 m = c1)(xlog–xlog 1x xlog–   1 m or c 1x x log 1x xlog–          Download From: http://www.cbseportal.com
  • 241. 225 17. kˆ5–jˆ5–iˆb–c;kˆjˆiˆ–b–a   1½ m     kˆ4jˆ4– 5–5–1 111– kˆjˆiˆ b–cb–a   1½ m  Unit vector perpendicular to both ofthe vectors = – 2 kˆ 2 jˆ  1 m 18. let the equation of line passing through (1, 2, – 4) be  kˆcjˆbiˆaλkˆ4–jˆ2iˆr   1 m Since the line is perpendicular to the two givenlines   3a – 16 b + 7 c = 0 1½ m 3a + 8 b – 5 c = 0 Solving we get, 6 c 3 b 2 a or 72 c 36 b 24 a  1 m  Equation ofline is :  kˆ6jˆ3iˆ2λkˆ4–jˆ2iˆr   ½ m OR Equation ofplane is : 0 1–11 1–2–212 z2–y1x   3 m Solving we get, x + 2y + 3z – 3 = 0 1 m 19. Let x = No. ofspades in three cards drawn x : 0 1 2 3 1 m P(x) :   64 27 4 33 3 C0     64 27 4 3 4 13 2 C1    64 9 4 3 4 13 2 C2      64 1 4 3 4 13 03 C3  2 m x . P(x) : 0 64 27 64 18 64 3 ½ m Mean = 4 3 64 48 P(x)x  ½ m Download From: http://www.cbseportal.com
  • 242. 226 OR let p = probabilityofsuccess ; q = Probabilityoffailure then, 9 P(x = 4) = P(x = 2)  42 2 624 4 6 qpCqpC9  2 m  3pqq9p 22  1 m Also, p + q = 1  p + 3p = 1  p = 4 1 1 m SECTION - C 20. f:  5 3–5y54 (y)f;9–6x5xf(x);)9,–R 1–2   y9– 5 3–5y54 6 5 3–5y54 5(y)fof 2 1–                      3 m   x 5 3–9–6x5x554 (x)fof 2 1–    2½ m Hence ‘f’isinvertible with 5 3–5y54 (y)f 1–   ½ m OR (i) commutative : let x, y   then1––R x * y = x + y + xy = y + x + yx = y * x  * is commutative 1½ m (ii) Associative : let x, y, z   then1––R x * (y * z) = x * (y + z + yz) = x + (y + z + yz) + x (y + z + yz) = x + y + z + xy + yz + zx + xyz 1½ m (x * y) * z = (x + y + xy) * z = (x + y + xy) + z + (x + y + xy) . z = x + y + z + xy + yz + zx + xyz 1 m x * (y * z) = (x * y) * z  * is Associative Download From: http://www.cbseportal.com
  • 243. 227 (iii) IdentityElement : let    1––Raaa*ee*athatsuch1––Re  ½ m  a + e + ae = a  e = 0 ½ m (iv) Inverse : let a * b = b * a = e = 0 ; a, b  1––R ½ m  a + b + ab = 0 a1 a– aor a1 a– b 1–     ½ m 21. Solving the two curves to get the pointsofintersection  8,p3 1½ m m1 = slope oftangent to first curve = 9p 2x– 1½ m m2 = slope of tangent to second curve = p 2x 1½ m curves cut at right angle iff 1– p 2x 9p 2x–  ½ m )p3x(Put4x9p 22  p)(949p2   p = 0 ; p = 4 1 m 22. correct figure 1½ m ar (ABDOA) 3 16 12 dy 4 1 4 0 34 0 2      y y ......(i) 1½ m ar (OEBDO) 4 0 3 2 3 4 0 24 0 12 x –x 3 4 dx 4 x –dxx2         3 16 3 16 – 3 32  .........(ii) 1½ m ar (OEBCO) 3 16 12 x dxx 4 1 4 0 34 0 2      ................(iii) 1½ m From (i), (ii) and (iii) we get ar (ABDOA) = ar (OEBDO) = ar (OEBCO) Download From: http://www.cbseportal.com
  • 244. 228 23. 1– x y x y dx dy x–xy y dx dy 2 2 2       , Hence the differentialequationis homogeneous 1 m Put y = 1–dx d xgetwe, dx d x dx dy andx 2 v vv v v vv  1+1 m 1– – 1–dx d x 2 v v v v vv  1 m cxloglog–dx x 1 d 1–   vvv v v 1 m        cylog x y or,cxlog x y log– x y 1 m OR Given differentialequationcan be written as 2 –1 2 y1 ytan x y1 1 dy dx     1 m Integrating factor=     dy y1 eytan ex:issolutionande 2 ytan–1 ytanytan –1 1–1– 1+1½ m x t)ytan(wherec1)–y(tanece–tedttee –1–1ytantttytan –1–1   1½ m x = 1, y = 0  c = 2 21)–y(taneex –1ytanytan –1–1  1 m ytan––1 –1 e21–ytanxor  24. Equationofline throughAand B is (say)λ 6 5z 1 4y 1– 3–x      2 m Generalpoint onthe line is  5–6λ4,–λ3,λ–  1 m Ifthis is the point ofintersection with plane 2x+ y+ z = 7 then,   2λ75–6λ4–λ3λ–2  1 m Download From: http://www.cbseportal.com
  • 245. 229  Point ofintersection is (1, – 2, 7) 1 m Required distance =       77–4241–3 222  1 m 25. Let the two factories I and II be in operation for x and y days respectivelyto produce the order withthe minimumcost then, theLPP is : Minimise cost : z = 12000 x + 15000 y 1 m Subject to : 50x + 40y > 6400 or 5x + 4y > 640 50x + 20y > 4000 or 5x + 2y > 400 2 m 30x + 40y > 4800 or 3x + 4y > 480 x, y > 0 correct graph 2 m Download From: http://www.cbseportal.com
  • 246. 230 Vertices are A (0, 200) ; B (32, 120) C (80, 60) ; D (160, 0) ½ m z (A) = Rs. 30,00,000; z (B) = Rs. 21,84,000; z (C) = Rs. 18,60,000 (Min.); z (D) = Rs. 19,20,000; On plotting z < 1860000 or 12x + 15y < 1860, we get no point common to the feasible region  Factory I operates for 80 days ½ m Factory II operates for 60 days 26. E1 : Bolt is manufactured bymachineA E2 : Bolt is manufactured bymachine B E3 : Bolt is manufactured bymachine C A :Bolt is defective ; 100 20 )P(E; 100 50 )P(E; 100 30 )P(E 321  100 1 )P(A/E; 100 4 )P(A/E; 100 3 )P(A/E 321  3 m P(E2 /A) = 31 20 2020090 200 100 1 100 20 100 4 100 50 100 3 100 30 100 4 100 05      2 m P( E2 /A) = 1 – P(E2 /A) = 31 11 1 m Download From: http://www.cbseportal.com
  • 247. 231 QUESTION PAPER CODE 65/1/MT EXPECTEDANSWERS/VALUE POINTS SECTION -A 1.             032 301 210 or any other correct example ½ + ½ m 2. Order : 2, degree : 2, Product : 4 ½ + ½ m 3. xαcosBαxαsinAα dx dy  ½ m  xαsinBxαcosAα dx yd 2 2 2  0yα dx yd 2 2 2  ½ m 4. Projection of      b ba bona ½ m Projection 2 5  ½ m 5. Value = 3 1 m 6. Writing dr’s correctly ½ m D.C’S 13 12 , 13 4 , 13 3 ½ m Marks      Download From: http://www.cbseportal.com
  • 248. 232 SECTION - B M W C Expenses Family expenses 7.                                2300 1150 1050 200 150 200 624 312 132 CFamily BFamily AFamily 2 m Expenses for familyA = 1050 Expenses for family B = 1150 1 m Expenses for family C = 2300 Anyrelevant impact 1 m 8. ztan 2 π ytanxtan 111   1 m zcot xy1 yx tan 11          1 m 0zas z 1 tan xy1 yx tan 11                1 m z 1 xy1 yx    ½ m xy + yz + zx = 1 ½ m 9. 0 bac acb cba  R 1  R 1 + R 2 + R 3 (a + b + c) 0 bac acb 111  1 m      Download From: http://www.cbseportal.com
  • 249. 233 C1  C1 – C2 , C2  C2 – C3 (a + b + c) 0 bbaac aaccb 100    2 m (a + b + c) (ab + bc + ca – a2 – b2 – c2 ) = 0 given 2 acabcabsoc,ba  0cb 22  ½ m  (a + b + c) = 0 ½ m 10. Let x =       dc ba 1 m                    642 987 654 321 dc ba                642 987 6d3c5d2c4dc 6b3a5b2a4ba 1½ m a + 4b = – 7, c + 4d = 2, 2a + 5b = – 8, 2c + 5d = 4 Solving a = 1, b = – 2, c = 2, d = 0 1 m         02 21 x ½ m OR               225 5615 113 A existwillA0,1A 1  ½ m Download From: http://www.cbseportal.com
  • 250. 234             310 015 102 Aadj (Anyfour correct Cofactors : 1 mark) 2 m             310 015 102 A Aadj A 1 ½ m                          225 5615 113 310 015 102 AA 1            100 010 001 1 m 11.   4x3xxf           4,72 43,1 3,27 xx x xx 1 m     3x 3fxf lim3xatDH.L. – 3x     2 3x 2x6 lim– 3x         3x 3fxf lim3xatDH.R. 3x      0 3x 11       3xatblediffrentianotisxfDH.R.DH.L.  1½ m Download From: http://www.cbseportal.com
  • 251. 235     4x 4fxf lim4xatDH.L. – 4x     0 4x 11         4x 4fxf lim4xatDH.R. 4x      2 4x 172x lim 4x      4xatR.H.D4xatDH.L.  f(x) is not differentiable at x = 4 1½ m 12. 2x e xy   xlogeylog 2 x  1 m Diff. w. r. t x  2xexlog x e dx dy y 1 2 2 x x    2 m            2 2 x x exlog2x x e y dx dy ½ m         xlog2x x 1 ex 22x xe ½ m OR y x tanyxlog 122   Download From: http://www.cbseportal.com
  • 252. 236 Diff. w. r. t. x                         2 2 222 y dx dy xy y x 1 1 dx dy 2y2x yx2 1 2 m                  222 2 22 y dx dy xy yx y yx dx dy yx 1 m   xyxy dx dy  ½ m xy xy dx dy    ½ m 13. 1x1xy  1x2 1 1x2 1 dx dy     1 m 1x2 1x1x 2    ½ m   2 2 2 y dx dy 1–x4       ½ m   dx dy 2y dx dy 8x dx yd dx dy 21–x4 2 2 2 2        1 m   4 y dx dy x dx yd 1–x 2 2 2  ½ m   0 4 y dx dy x dx yd 1–x 2 2 2  ½ m Download From: http://www.cbseportal.com
  • 253. 237 14.   dx xcos1xcos xcos1      dx cos1cos cos2cos1     xx xx 1½ m    xcos1 dx 2 xcos dx ½ m   dx 2 x secdxxsec 2 1 m c 2 x tan2xtanxseclog  1 m 15.   dxxsinx 1    dx x1 x 2 1 xsin 2 x 2 2 1 2 1 m     dx x1 1x1 2 1 xsin 2 x 2 2 1 2 ½ m     dx x1 dx 2 1 dxx1 2 1 xsin 2 x 2 21 2 1 m cxsin 2 1 xsin 2 1 x1 2 x 2 1 xsin 2 x 1121 2         1½ or cxsin 4 1 x1 4 x xsin 2 x 121 2   Download From: http://www.cbseportal.com
  • 254. 238 16.  dxex 2 0 12x2    n 2 h  ½ m         .......2h0fh0f0fhlimdxex 0h 2 0 12x2       h1n0f.........  1 m   2222 0h 1)(n.......21hhlim    h1)–2(n4h2h .......eee1e  1 m     6 h2nhhnhnh lim 0h    ½ m +          1e 1e e.h.lim 2h 2nh 0h ½ m   2 ee 3 8 2 e1e 3 8 54     ½ m OR  π 0 xcosecxsec dxxtanx  π 0 2 dxxsinx 1 m  π 0 2 dxxsinxILet Download From: http://www.cbseportal.com
  • 255. 239      π 0 2 dxxπsinxπ ½ m    π 0 2 dxxsinxπ ½ m 2 I    π 0 π 0 2 dx 2 2xcos1 πdxxsinπ ½ m π 02 2xsin x 2 π        1 m 2 π2  I 4 π2  ½ m 17. λ 0 1z 1 1y 3 1x        ½ m μ 3 1z 0 y 2 4x     ½ m 1z1,λy1,λ3x  1 m x 1μ3z,0y4,μ2  At thepoint ofintersection 0μ1,λ  1 m 4μ2413λso  ½ Hence thelines are intersecting Point ofintersectionis (4, 0, –1) ½ m Download From: http://www.cbseportal.com
  • 256. 240 18. Coordinats of Q are – 3μ +1, μ –1, 5μ +2 ½ m D.R’s of 45μ3,μ2,3μPQ   1 m 13z4yxplanethetoparallelisPQas         045μ33μ423μ1  1½ m 4 μ   1 m OR The D.R’s of the line are 2, –6, 4 1 m mid point ofthe line 2, 1, –1 1 m The plane passes through (2, 1, –1) and is perpendicular to the plane eqn. : 2 (x – 2) – 6 (y – 1) + 4 (z + 1) = 0 x – 3y + 2z + 3 = 0 1 m Vector from: 03k2j3ir ^^^         1 m 19. No’s divisible by 6 ..................... = 16 1m No’s divisible by 8 ..................... = 12 1m No’s not divisible by 24 .............. = 20 1m Required probabilty 5 1 100 20  1 m Download From: http://www.cbseportal.com
  • 257. 241 SECTION - C 20. Ra)(a,,AaeveryFor  2bydivisibleis0aa  reflexiveisR 1 m Aba,allFor  bydivisibleisbaRb)(a,  2 bydivisibleisab  2  symmetricisRRa)(b,  1 m Acb,a,allFor    bydivisibleisbaRba,  2   bydivisibleiscbRcb,  2 2kbaSo,  1 m m2ca 2cb    bydivisibleisca  2   Rc,a  transitiveisR 1 m  and53,1,ofelementsShowing 1 m othereachtorelatedare4}{2,     othereachtorelatednotare42,and53,1,and 1 m 21. Graph 2 + 2 m Download From: http://www.cbseportal.com
  • 258. 242 Area ofshaded reigon         2 0 2 1 0 1- dx1x2dxx3dx1xx3 1 m       2 1 2 2 0 2 0 1 2 2 1x 2 2 x3 2 1x 2              unitssq.4191 2 1 1  1 m 22. 2 x1 x y    22 2 x1 x1 dx dy    2 m    22 2 x1 x1 xfLet          0 x1 x32x 0xf 32 2       3xor0x0x3xminormaxFor 2  2 m 00xat dx f(x)d gCalculatin 2 2  03xat  1 m maximalocalofpointtheis0x  0)(0,isptrequiredthe 1 m           Download From: http://www.cbseportal.com
  • 259. 243 23. 2 2 xxy y dx dy   dx dv xv dx dy vx,yLet  ½ m 1v v dx dv xv 2   1½ m 1v v dx dv x   dv v 1v x dx         1½ m dv v 1 –1 x dx          cvlogvxlog  1 m xcyylogxorc x y ylog  1½ m OR xtany dx dy 2xsin  2xsin xtan x2sin y dx dy  1 m   2 xsec 2xcosecy dx dy 2  xsec 2 1 Q2x,cosecP 2    dx2xcosecdxP xtanlog 2 1  Download From: http://www.cbseportal.com
  • 260. 244 xtan 1 eSo dxP  1½ m Solutionis                   dt xtan dxxsec txtan 2 1 xtan dxxsec 2 1 xtan y 22 1½ m cxtan xtan y  1 m Getting 1c  ½ m xtanxtany  ½ m 24. planeofEqn.     054z3y2xλ6zyx  2 m  11,1,throughpassesit 14 3 λ014λ3  2 m bewillplaneofEqn. 06926z23y20x  1 m 69k26j23i20r:fromvector ^^^         1 m Download From: http://www.cbseportal.com
  • 261. 245 25. Let E1 bethe event offollowingcourse of meditation and yoga and E2 bethe event offollowing course ofdrugs 1 m     2 1 EP, 2 1 EP 21  1 m     100 40 100 75 EAP 100100 4070 EAP 21     1 m Formula 1 m                  100 75 2 1 100 70 2 1 100 40 100 70 2 1 100 40 AEP 1 2 m 29 14 145 70  26. Let the no. of items in the item A = x Let the no. of items in the item B = y (Maximize) z = 500 x + 150 y 1 m 60yx  50,000y500x2500  Graph 2 m 0yx,    000,z    12,5005010,z  10,0000)(20,z  2 m 9,00060)(0,z  12,500Rs.ProfitMax.  1 m      Download From: http://www.cbseportal.com
  • 262. 246 OR Let the no. of packets offood X = x Let the no. of packets of food Y = y (minimize) P = (6x + 3y) 1 m subject to 2403y12x  46020y4x  0yx,300,4y6x  or 80y4x  1155yx  2 m 1502y3x  0yx,  Correct points offeasible region A (15, 20), B (40, 15), C (2, 72) So P (15, 20) = 150 P (40, 15) = 285 P (2, 72) = 228 Graph 2 m minimumamount ofvitaminA = 150 units when15 packets offood X and 20 packets offoodY are used 1 m      Download From: http://www.cbseportal.com
  • 263. 247 MATHEMATICS Time allowed : 3 hours Maximum Marks : 100 General Instructions: (i) All questions are compulsory. (ii) Please check that this Question Paper contains 26 Questions. (iii) Marks for each question are indicated against it. (iv) Questions 1 to 6 in Section-A are Very Short Answer Type Questions carrying one mark each. (v) Questions 7 to 19 in Section-B are Long Answer I Type Questions carrying 4 marks each. (vi) Questions 20 to 26 in Section-C are Long Answer II Type Questions carrying 6 marks each (vii) Please write down the serial number of the Question before attempting it. QUESTION PAPER CODE 65(B) SECTION A Question numbers 1 to 6 carry 1 mark each. 1. The position vectors of points Aand B are 2   b3a and  b4–a3 respectively and PdividesAB intheratio of3 :2 and Q isthemid-point ofAP.Write theposition vector ofpoint Q. 1 2. Ifthe vector kˆ5jˆ3–iˆλa   and vector kˆ–jˆλiˆ2b   areperpendicular, then find thevalue of . 1 3. IfP(3, 4, 2) is the foot ofthe perpendicular from the origin to a plane, thenwrite the Cartesianequationofthe plane. 1 Download From: http://www.cbseportal.com
  • 264. 248 4. If 765 321 432 |a|Δ ij  , thenwrite the cofactor ofelement a23 . 1 5. IfAand B are order and degree respectively of the differential equation 2 24 dx yd 2y dx dy       = 0, write the value of(A+B). 1 6. Find the differentialequation representing the curves y= ax + x2 , where a is an arbitraryconstant. 1 SECTION B Question numbers 7 to 19 carry4 marks each. 7. To promote themaking oftoilets forladies(women) invillages, anN.G.O. hired an advertisingagencyforgeneratingawarenessforthecausethroughhousecalls, letters and announcements through speakers. The cost per mode of communication is givenbelow: Cost per House calls Letters Announcements visit/communication (speakers) (in `) 10 5 15 The number ofcontacts made were asfollows in the threevillages X, Yand Z : Village Housesvisited Letters dropped Number of announcements X 200 400 200 Y 350 600 300 Z 225 375 150 Download From: http://www.cbseportal.com
  • 265. 249 Find the totalexpenditure incurred bythe N.G.O. for the three villages separately for making'the communityaware ofthe cause using matrices. Also write the value generated inthe generalpublic bythe agency. 4 8. IfA=       21– 1–2 and AA 2 – A+  I = O, then find the values of  and . 4 OR If A=           431 341 331 , find adj (A) and show that A(adjA) = |A| I. 9. Using theproperties ofdeterminants, prove the following : 3 a 3c6b10a3b6a3a 2c3b4a2b3a2a cbabaa               4 10. Evaluate:   π/4 0 dxx)tan(1log 4 11. Evaluate: 2 π x0dx;e xcos1 xsin–1 x/2–   4 OR Evaluate: dx 65x–x 1x 2 2    Download From: http://www.cbseportal.com
  • 266. 250 12. Ten cards, numbered 1 to 10 are placed in a box, mixed up thoroughlyand then one card is drawn randomly. If it is known that the number on the drawncard is 'more than5', what is the probabilitythat it is an even number? 4 13. Find the magnitudeoftwo vectors  banda , having the same magnitude and such that the angle between themis 60° and their scalar product is 2 1 . 4 14. Find the shortest distance between the lines l1 and l2 , whosevector equations are givenbelow: l1 :  kˆjˆ–iˆ2λjˆiˆr   , l2 :  kˆ2jˆ5–iˆ3μkˆ–jˆiˆ2r   . 4 15. If y = cot–1    xcostan–xcos 1– , prove that sin y = tan2       2 x . OR Solve forx :  7–tan 1– tan 1– 1 tan 1–1–1–              x x x x 16. If y = (3 cot–1 x)2 , show that     18 dx dy 1x2 dx yd 1x 2 2 2 22  x 4 OR Show that the function f(x) = | x – 3 |, x  R, is continuous but not differentiable at x = 3. 17. If y = dx dy find,x x 1 x x 1 x x               . 4 Download From: http://www.cbseportal.com
  • 267. 251 18. Find a point on the curve y= (x – 2) 2 at whichthe tangent is parallelto the chord joining the points (2, 0) and (4, 4).Also find the equationofthe tangent. 19. Evaluate:    dxx–x656x 2 SECTION C Question numbers 20 to 26 carry6 marks each. 20. Let  be the set of real numbers and f:  is given by f(x) = 3x + 2 and g:  is given byg (x) = 1x x 2  , then find (i) fog (ii) fof (iii) gog 6 OR Let Aand B be two sets. Show that f :A× B  B ×Asuch that f (a, b) = (b, a) is a bijective function. 21. Find the area bounded bythe ellipse 2 2 2 2 b y a x  = 1 and the ordinates x= 0 and x= ae, where b2 = a2 (1– e2 ), and e < 1. 6 22. Find theparticular solutionofthedifferentialequation x cos dx dy x y       = y cos       x y + x, given that y = 4 π ,when x = l. 6 OR Download From: http://www.cbseportal.com
  • 268. 252 Find the generalsolution ofthedifferentialequation dx dy – y= cosx. 23. Find the vectorequationofthe planepassing through the intersectionofthe planes     9kˆ3jˆ5iˆ2r,7kˆ3–jˆ2iˆ2r   and through the point (2, 1, 3). 6 24. Two bags I and II are given. Bag I contains 3 red and 4 black balls while bag II contains 5 red and 6 black balls.Aballis drawn at random from one ofthe bags and is found to be black. Find the probabilitythat it was drawn frombag II. 6 25. Kamlesh wants to invest an amount up to ` 50,000. In the market, two types of BondsAand B are available - BondAoffering 10% return on the investment and Bond B pays 15%onthe amount invested. She wants to invest at least `15,000 in BondAandnot more than`20,000 inBond B.Howshouldsheplantheinvestment inthetwo bonds to getmaximumreturnontheinvestment ?Formulate theaboveas a linearprogramming problem. 6 26. Find two such positive numbers whosesumis 16 and the sumofwhose cubes is minimum. 6 Download From: http://www.cbseportal.com
  • 269. 253 Senior School Certificate Examination March — 2015 Marking Scheme ---- Mathematics 65(B) General Instructions : 1. TheMarkingSchemeprovides generalguidelinesto reduce subjectivityinthemarking. The answersgivenintheMarkingSchemearesuggestive answers.Thecontentis thusindicative. Ifa student hasgivenanyotheranswer whichis different fromthe one giveninthe Marking Scheme, but conveys the meaning, suchanswers should be givenfullweightage. 2. Evaluation is to be done as per instructions provided inthe marking scheme. It should not be done according to one's own interpretation or any other consideration __ Marking Scheme shouldbe strictlyadhered to and religiouslyfollowed. 3. Alternative methods are accepted. Proportionalmarks are to be awarded. 4. Inquestion(s)ondifferentialequations, constant ofintegrationhasto be written. 5. If a candidate has attempted an extra question, marks obtained in the question attempted first should be retained and the other answer should be scored out. 6. A full scale of marks - 0 to 100 has to be used. Please do not hesitate to award full marks if the answer deserves it. 7. Separate Marking Scheme for allthe three sets has been given. Download From: http://www.cbseportal.com
  • 270. 254 QUESTION PAPER CODE 65(B) EXPECTEDANSWERS/VALUE POINTS SECTION -A 1. P.V. of P =        2 3 PB AP 5 b6–a13   ½ m P.V. of Q =        1 1 QP AQ b 10 9 a 10 23   ½ m 2. baas0ba   ½ m 05–λ3–λ2  5–λ  ½ m 3. D.R. of normalto plane 3 , 4 , 2 ½ m Also point (3, 4, 2) lies on plane 3x + 4y + 2z + d = 0  d = – 29 So cartesian Equationofplane is 3x + 4y + 2z – 29 = 0 ½ m 4. 765 321 432 A  3 65 32 (–1)a 32 23   1 m 5. Order = 2 ½ m or Degree = 1 So A + B = 3 ½ m Marks Download From: http://www.cbseportal.com
  • 271. 255 6. y = a x + x2 y1 = a + 2x y1 – 2x = a ½ m So y = (y1 – 2x) x + x2  xy1 = y + x2 ½ m SECTION - B 7. TotalExpenditureincurred for villages x,y, z are                                6375 000,11 7000 15 5 10 150375225 300600350 200400200 2 m So Expenditure onvillage x = 7000 So Expenditure onvillage y = 11,000 1 m So Expenditure on village z = 6375 habitshygehicaboutionSensitizat:Value ..... or Anyother relevant value 1 m 8.        21– 1–2 A        54– 4–5 A2 1 m 0IμAλ–A2                           00 00 μ0 0μ λ2λ– λ–λ2 – 54– 4–5 1 m 1 m       0λ4– 0μλ2–5 3μ 4λ   1 m OR      Download From: http://www.cbseportal.com
  • 272. 256            431 341 331 A 1 431 341 331 A  1 m 1c0c1–c 0c1c1–c 3–c3–c7c 332313 322212 312111               101– 011– 3–3–7 AAdj 1½ m                      101– 011– 3–3–7 431 341 331 A)(adjA ½ m            100 010 001 .................................... (i) 1ASince             100 010 001 IASo .................................... (ii) ½ m (ii)&(i)from IAA)(adjA  ½ m Download From: http://www.cbseportal.com
  • 273. 257 9. 3c6b10a3b6a3a 2c3b4a2b3a2a cbabaa    133122 R3–RR,R2–RR  3b7a3a0 b2aa0 cbabaa     3 m 3b7a3a b2aa a    3b7a3 b2a1 a2     3b–6a–3b7aa2  3 a 1 m 10.    4 π 0 dxxtan1logI               4 π 0 dxx– 4 π tan1log 1 m          4 π 0 dx xtan1 xtan–1 1log          4 π 0 dx xtan1 2 log 1 m     4 π 0 dxxtan1log–2log Download From: http://www.cbseportal.com
  • 274. 258  4 π 0 I–dx2logI 1 m 2log 4 π 2I  2log 8 π Ior  1 m 11. 2 π x0;dxe xcos1 xsin–1 2 x–       dxe 2 x cos2 2 x cos 2 x sin– 2 x– 2 1 m         dxe 2 x sec 2 x tan 2 x sec– 2 1 2 x– 1 m dtdx 2 1– t 2 x –Put      dtettantsectsec– t ctsece– t  1 m c 2 x– sece– 2 x–        c 2 x sece– 2 x–        1 m OR    dx 65–x 1x 2 2 x Download From: http://www.cbseportal.com
  • 275. 259                  dx 3–2–x 5–5x 1dx 65–x 5–5x 1 2 xx 1 m    dx 3–x 10 dx 2–x 5– dx 1½ m c3–xlog102–xlog5–x  1½ m 12. S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Event A: No. on card is ‘more than 5’ 1 m A = {6, 7, 8, 9, 10} Event B : Even no. on card B = {2, 4, 6, 8, 10} P(B/A) =    AP ABP  1 m 5 3 10 5 10 3  2 m 13. baGiven   b&abetweenangleθ, 2 1 60cosθcos o   1 m 2 1 ba   ba ba θcosUse     2 a 2 1 ba 2 1 2 1   1 m Download From: http://www.cbseportal.com
  • 276. 260 1a 2   1ba   2 m 14.  kˆjˆiˆ2λjˆiˆr1    kˆ2jˆ5–iˆ3μkˆ–jˆiˆ2r2   dc dca–b r&rbetweenS.D. 21       1 m     25–3 11–2 1–01 dca–b   1 m 10 25–3 11–2 kˆjˆiˆ dc   kˆ7–jˆ–iˆ3 59dc   1 m units 59 10 59 10 S.D.Hence  1 m 15.    xcostan–xcoscoty –1–1           2 π xtanxcotxcostan2– 2 π y 1–1–1–  1 m  xcostan2– 2 π –yor 1–  Download From: http://www.cbseportal.com
  • 277. 261         xcos1 xcos–1 cosy– 2 π or 1–                 2 2 1–1– x1 x–1 cosxtan2 1 m 2 xcos2 2 xsin2 y– 2 π cosor 2 2       1 m        2 x tanysinor 2 1 m provedHence OR  7–tan x 1–x tan 1–x 1x tan 1–1–1–               7–tan x 1–x 1–x 1x –1 x 1–x 1–x 1x tan 1–1–                             1 m  7–tan x–1 x–12x tanor 1– 2 1–        1 m  x–17–x–12xor 2  ½ m 088x–2xor 2    02–xor 2  2x  1 m since x =2 does not satisfythe givenequation. Hence no solution ½ m Download From: http://www.cbseportal.com
  • 278. 262 16.  21– xcot3y            2 1– 1 x1 3– xcot32y 2 1– x1 xcot 18–   2 m   xcot18–x1yor 1–2 1    21 2 2 x1 18 xy2x1yor   1 m     18yx1x2x1yor 1 222 2  1 m OR 3x3,–xf(x) Rx,3–xf(x)     3x,3–x  continuityshowTo f(3)f(x)ltf(x)lt – 3x3x    1 m 03–xltf(x)lt 3x3x      03–x–ltf(x)lt 3x3x –   03–3f(3)  So f(x) is continuous at x= 3 1 m For derivability at x = 3 need to show that R.H.D = LHD In this case Download From: http://www.cbseportal.com
  • 279. 263 1 h h lt(3)R.H.D 0h   1– h– h lt(3)L.H.D 0h   1 m So func is not differentiable at x = 3 1 m 17.               x 1 1 x x x 1 xy xlog x 1 1 x 1 xlogx eeyor               1 m                                  x 1 1 x 1 –1x x 1 1loge dx dy 2 x 1 xlogx                                 x 1 x 1 1log x 1– e 2 xlog x 1 1                     1x 1–x x 1 xlog x 1 x 2 2x 1½+1½ m                  2 2 x 1 1 x xlog–1x x 18. y = (x – 2) 2 dx dy = 2 (x – 2) 1 m Let (x1 , y1 ) be the point ofcontact )y,(x 11 dx dy = 2 (x1 – 2) Download From: http://www.cbseportal.com
  • 280. 264 Slope of chord = m = 2–4 0–4 = 2 2 (x1 – 2) = 2  x1 = 3 since (x1 , y1 ) lies on curve y = (x – 2) 2 So y1 = (3 – 2) 2 = 1 So point ofcontact is (3, 1) 2 m Also, equationoftangent is y – 1 = 2 (x – 3) or y – 2x + 5 = 0 1 m 19. dxx–x65)(6xI 2   6x + 5 = A(1 – 2x) + B  A = – 3, B = 8 1 m So, I = – 3   dxx–x68dxx–x62x)–(1 22   dx 2 1 –x– 2 5 8x–x62– 22 2 3 2               1 m                  5 1–2x sin 2 25 x–x61–2x 4 8 x–x62– 1–22 3 2 1 m     c 5 1–2x sin 2 25 x–x61–2x2x–x62– 1–22 3 2              1 m SECTION - C 20. RR:f,23x(x)f  RR:g, 1x x (x)g 2    Download From: http://www.cbseportal.com
  • 281. 265   RR:fog,g(x)f(x)fog(i)          1x x f 2 2 1x x 3 2         1x 23x2x 2 2    2 m   RR:fof,f(x)f(x)fof(ii)   23xf    223x3  89x  2 m   RR:gog,g(x)g(x)gog(iii)          1x x g 2   42 2 2 2 2 x13x 1xx 1 1x x 1x x              13xx 1xx 24 2    2 m OR s.t.ABBA:f     ab,ba,f  one–oneisfshowTo Download From: http://www.cbseportal.com
  • 282. 266 s.t.BAinelementarbitranyanybed)(c,&)b,(a,Let  Aca,,ca  Bdb,,db  a)(b,b)f(a,then  1 m c)(d,d)f(c,  c)ad,b(c)(d,a)(b,   d)f(c,b)f(a,  oneoneisf  .......................... (i) 2 m ontoisf B,b,Aa  ABa)(b,  BAb)(a,  ontoisfSo ............................. (ii) ½ m Hence, from(i) & (ii) fisbijective function ½ m 21. Area =  ae 0 dxy  ae 0 22 dxx–a a b 2 1 m  ae 0 22 dxx–a a 2b 1 m ae 0 1– 2 22 a x sin 2 a x–a 2 x a 2b              2 m Download From: http://www.cbseportal.com
  • 283. 267 0–esin 2 a )e–(1a 2 ae a 2b 1– 2 22        1 m  esinaebb 1–  esinabebor 1–2  1 m 22. x x y cosy dx dy x y cosx                    x y sec x y dx dy or 1 m dx dv xv dx dy vxyPut  1 m vsec dx dv x  x dx dvvcos  1 m   x dx dvvcos cxlogvsinor  1 m 1x, 4 π ywhen  c1log 2 1  1 m 2 1 c  2 1 xlog x y sinissolutionParticular       1 m Download From: http://www.cbseportal.com
  • 284. 268 OR xcosy– dx dy  x–dx– eeI.F.         (x)QPy dx dy forminisequation andxcosQ1,–PHere 1 m issolutiongeneralSo cdxxcoseey x–x–   ................... (i) 1 m consider  dxexsin–excos–dxxcoseI x–x–x–     dxexcosexsin––excos– x–x–x– 2 m   cexsinxcos–I2 x–  ce 2 xcos–xsin I x–        .......................... (ii) 1 m D.E.givenofsolutiongeneral(ii),&(i)From is ce 2 xcos–xsin ey x–x–        1 m x cexcos–xsin2yor  23. Given planes are 2x + 2y – 3z – 7 = 0 and 2x + 5y + 3z – 9 = 0 Download From: http://www.cbseportal.com
  • 285. 269 Equation ofplanepassing throughintersectionoftwo given planes is (2x + 2y – 3z – 7) + k (2x + 5y + 3z – 9) = 0 1½ m or (2+ 2k) x + (2 + 5k) y + (– 3 + 3k) = – 7 – 9 k = 0 1 m This plane passes through point (2, 1, 3) So (2 + 2k) (2) + (2 + 5k) (1) + (– 3 + 3k) (3) – 7 – 9k = 0 – 10 + 9k = 0 2 m or k = 9 10 So equationofplane is       0 9 109 –7–z 9 103 3–y 9 105 2x 9 10 22                          38x + 68y + 3k – 153 = 0 1 m Hence vec. equ. ofplane passing throughthe intersection ofplane is   153kˆ3jˆ68iˆ38r   ½ m 24. E1 : Ballfrombag I E2 : Ballfrombag II 1 m E3 : Drawing black ball P(E1 ) = P(E2 ) = 2 1 P(B/E1 ) = 7 4 , P(B/E2 ) = 11 6 2 m Prob. ofballdrawn found to be black, drawn frombag II P(E2 /B) = )(B/EP)(EP)(B/EP)(EP )(B/EP)(EP 2211 22   1 m =                   11 6 2 1 7 4 2 1 11 6 2 1 = 43 21 1+1 m Download From: http://www.cbseportal.com
  • 286. 270 25. y15%BBond x10%ABond InvestmentReturns L.P.P. is objective func. z = y0.15x0.1y 100 15 x 100 10  2 m Subject to x + y < 50,000 1 m x > 15,000 1 m y < 20,000 1 m x, y > 0 1 m 26. Let the two numbers be x and y x + y = 16 f (x) = x3 + y3 = x3 + (16– x)3 1½ m (x)f = 3x2 + 3 (16– x)2 (– 1) = 96x – 768 1½ m (x)f = 0  x = 8 1 m So x =8 maybe point ofmaximumor minimum consider (x)f  = 96 > 0 1 m  x = 8 is point ofminima when x = 8, y = 8 So 8 and 8 are numbers suchthat their sumis 16 and sumoftheircubes is minimum. 1 m Download From: http://www.cbseportal.com
  • 287. 271 ECONOMICS Time allowed : 3 hours Maximum Marks : 100 General Instructions: (i) All questions in both the sections are compulsory. (ii) Marks for questions are indicated against each question. (iii) Question Nos. 1 -3 and 15 - 19 are very short-answerquestions carrying 1mark each. They are required to be answered in one sentence each. (iv) Question Nos. 4 - 8 and 20 - 22 are short-answer questions carrying 3 marks each. Answer to them should normally not exceed 60 words each. (v) Question Nos. 9 - 10 and 23 - 25 are also short-answer questions carrying 4 marks each. Answer to them should normally not exceed 70 words each. (vi) Question Nos. 11 - 14 and 26 - 29 are long-answer questions carrying 6 marks each. Answer to them should normally not exceed 100 words each. (vii) Answers should be brief and to the point and the above word limits should be adhered to as far as possible. QUESTION PAPER CODE 58/1/1 SECTION -A 1. Give equationofBudget Line. 1 2. Whenincome ofthe consumer falls theimpact onprice-demand curve ofan inferior good is :(choose the correct alternative) (a) Shifts tothe right. (b) Shifts to the left. (c) There is upwardmovement along the curve. (d) There is downward movement along the curve. 1 Download From: http://www.cbseportal.com
  • 288. 272 3. IfMarginalRate ofSubstitutionisconstant throughout, the Indifferencecurve will be : (choosethe correct alternative) 1 (a) Parallelto the x-axis. (b) Downward sloping concave. (c) Downward sloping convex. (d) Downwardslopingstraight line. 4. Giving reasoncomment onthe shapeofProduction Possibilities curve based onthe followingschedule: 3 Good X(units) GoodY(units) 0 10 1 9 2 7 3 4 4 0 5. What willbe the impact ofrecentlylaunched 'Clean India Mission' (Swachh Bharat Mission) ontheProductionPossibilities curve oftheeconomyand why? 3 Or What willlikelybetheimpact oflargescaleoutflowofforeigncapitalonProduction Possibilities curve ofthe economyand why? 6. The measure ofpriceelasticityofdemandofa normalgood carries minus sign while price elasticityofsupplycarries plussign. Explainwhy? 3 7. There are large number of buyers in a perfectly competitive market. Explainthe significance ofthis feature. 3 Download From: http://www.cbseportal.com
  • 289. 273 8. Explainthe effects of'maximumpriceceiling'onthemarket ofa good. Use diagram. 3 For the blind candidates only in lieu of Q. No.8. What is price ceiling?Explain the effects ofmaximumprice ceiling. 9. A consumer spends Rs. 1000 ona good priced at Rs. 8 per unit. Whenprice rises by25 percent, the consumer continuesto spend Rs. 1000 onthe good. Calculate price elasticityofdemand bypercentage method. 4 10. Define cost. State the relation betweenmarginalcost. and averagevariable cost. 4 Or Define revenue. Statethe relationbetween marginalrevenueand average revenue. 11. Aconsumer consumesonlytwo goods XandYbothpricedat Rs. 3 perunit. Ifthe consumer chooses a combination of these two goods with Marginal Rate of Substitutionequalto 3, is the consumer inequilibrium? Give reasons. What willa rationalconsumer do inthis situation?Explain. 6 Or Aconsumer consumes onlytwo goods X andYwhose prices are Rs. 4 and Rs. 5 per unit respectively.Ifthe consumer choosesa combinationofthetwo goods with marginalutilityofXequalto 5andthat ofYequalto 4,istheconsumerinequilibrium? Give reasons. What willa rationalconsumerdo inthissituation?Use utilityanalysis. 12. State the different phases ofchanges inTotalProduct and MarginalProduct inthe Law ofVariable Proportions.Also showthe same in a single diagram. 6 Forthe blind candidates in lieu of Q. No. 12 only. State, on the basis of a numerical example, different phases ofchanges inTotal Product and MarginalProduct in the LawofVariable Proportions. 6 13. Whyis the equalitybetween marginal cost and marginal revenue necessaryfor a firmto be inequilibrium?Isit sufficient to ensureequilibrium?Explaain. 6 Download From: http://www.cbseportal.com
  • 290. 274 14. Market for a good is inequilibrium.The demand for the good 'increases'. Explain the chainofeffects ofthis change. 6 SECTION B 15. What is 'aggregate supply' in macroeconomics? 1 16. The value ofmultiplier is : (choosethe correct alternative) 1 (a) MPC 1 (b) MPS 1 (c) MPS–1 1 (d) 1–MPC 1 17. Borrowing in government budget is : (choosethe correct alternative) 1 (a) Revenuedeficit (b) Fiscaldeficit (c) Primarydeficit (d) Deficit intaxes 18. The non-taxrevenue inthe followingis : (choose thecorrect alternative) 1 (a) Export duty (b) Import duty (c) Dividends (d) Excise Download From: http://www.cbseportal.com
  • 291. 275 19. Other thingsremaining unchanged, whenina countrythe priceofforeigncurrency rises, nationalincome is : ( choosethe correct alternative) 1 (a) Likelyto rise (b) Likelyto fall (c) Likelyto rise and fallboth (d) Not affected 20. IfRealGDPis Rs.200 and Price Index(with base = 100) is 110, calculate Nominal GDP. 3 21. Name the broad categories oftransactions recorded in the 'capitalaccount' ofthe Balance ofPaymentsAccounts. 3 Or Name thebroad categories oftransactions recorded in the 'current account'ofthe Balance ofPaymentsAccounts. 22. Where willsale ofmachineryto abroad be recorded in the Balance of Payments Accounts? Give reasons. 3 23. Explain the 'bankofissue' function ofthe centralbank. 4 Or Explain'Government's Bank'functionofcentralbank. 24. Government of India has recently launched 'Jan-Dhan Yojna' aimed at every household inthe countryto have at least one bank account. Explainhow deposits made under the planare going to affect nationalincomeofthe country. 4 25. Aneconomyisinequilibrium. Calculate nationalIncomefromthe following: 4 Autonomousconsumption = 100 Download From: http://www.cbseportal.com
  • 292. 276 Marginalpropensityto save = 0.2 Investment expenditure = 200 26. Giving reasonexplainhow should thefollowing be treated inestimation ofnational income: (i) Expenditure bya firmon payment offeesto achartered accountant (ii) Payment ofcorporate tax bya firm (iii) Purchase ofrefrigerator bya firmfor ownuse 27. Explain the concept ofInflationaryGap. Explainthe role ofRepo Rate in reducing thisgap. 6 Or Explaintheconcept ofDeflationaryGapand the role of'OpenMarket Operations' inreducingthis gap. 28. Explainthe rolethegovernment canplaythroughthebudget ininfluencingallocation ofresources. 6 29. Calculate NationalIncome and PersonalDisposable Income : (Rs. crores) (i) Personaltax 80 (ii) Private finalconsumptionexpenditure 600 (iii) Undistributed profits 30 (iv) Private income 650 (v) Government finalconsumptionexpenditure 100 Download From: http://www.cbseportal.com
  • 293. 277 (vi) Corporate tax 50 (vii) Net domesticfixed capitalformation 70 (viii) Net indirect tax. 60 (ix) Depreciation 14 (x) Change instocks (-)10 (xi) Net imports 20 (xii) Net factor income to abroad 10 QUESTION PAPER CODE 58/1 SECTION -A 1. Define indifference curve. 1 2. Ifdue to fallin the price ofgood X, demand for good Yrises, the two goods are: (Choose thecorrect alternative) 1 (a) Substitutes (b) Complements (c) Not related (d) Competitive 3. IfMarginalRate ofSubstitution is increasing throughout, the IndifferenceCurve willbe :(Choose the correct alternative) 1 (a) Downward slopingconvex (b) Downward sloping concave (c) Downwardslopingstraight line (d) Upward sloping convex Download From: http://www.cbseportal.com
  • 294. 278 4. Giving reason comment on the shape ofProduction Possibilities Curve based on the followingschedule: 3 Good X(units) GoodY(units) 0 30 1 27 2 21 3 12 4 0 5. What islikelyto be theimpact of"Make inIndia" appealto the foreigninvestors by the PrimeMinisterofIndia, ontheproductionpossibilitiesfrontierofIndia?Explain. OR What is likelyto be the impact of efforts towards reducing unemployment on the productionpotentialofthe economy?Explain. 3 6. Explainthe significanceof'minus sign'attachedto the measure ofprice elasticityof demand in case of a normal good, as compared to the 'plus sign' attached to the measure ofpriceelasticityofsupply. 3 7. In a perfectlycompetitive market the buyers treat products ofallthe firms ashomo- geneous. Explainthesignificance ofthis feature. 3 8. What are the effects of'price-floor'(minimumpriceceiling) on themarket ofa good? Use diagram. 3 Note: The following question is for the Blind Candidates only. in lieu of Q.No.8. Explain the effects of'price-floor' (minimumpriceceiling) onthe market ofa good. 3 Download From: http://www.cbseportal.com
  • 295. 279 9. A consumer spends ` 1,000 on a good priced at ` 10 per unit. When its price falls by20 percent,theconsumerspends ` 800onthegood.Calculatetheprice elasticity ofdemand bythe Percentage method. 4 10. What is thebehaviour of(a)Average Fixed Cost and (b)AverageVariable Cost as more and more units ofagood are produced? OR DefineAverage Revenue. Show thatAverage Revenue and Price are same. 4 11. Aconsumer consumes onlytwo goods X andY, both priced at ` 2 per unit. Ifthe consumerchoosesacombinationofthetwogoodswithMarginalRateofSubstitution equalto 2, is the consumer in equilibrium? Whyor whynot? What willa rational consumer do inthissituation?Explain. OR A consumer consumes only two goods X and Y whose prices are ` 5 and ` 4 respectively.Iftheconsumer chooses acombinationofthetwo goodswithmarginal utilityofX equalto 4and that ofYequalto 5, isthe consumer inequilibrium?Why or whynot ?What willa rationalconsumer do in this situation?Useutilityanalysis. 6 12. What are the different phases in the Law of Variable Proportions in terms of marginalproduct?Give reason behind eachphase. Use diagram. 6 Note: The following question is for the Blind Candidates only in lieu of Q.No.12. Explain withthe helpofa numericalexampledifferent phases inthe Law ofVariable Proportions. 6 13. Explainwhywilla producernot be inequilibriumiftheconditions ofequilibriumare not met. 6 14. Market for a good is in equilibrium. The supplyof good "decreases". Explain the chainofeffects ofthis change. 6 Download From: http://www.cbseportal.com
  • 296. 280 SECTION B 15. What is 'aggregatedemand'in macroeconomics? 1 16. IfMPC= 1, the value ofmultiplier is: (Choose the correct alternative) 1 (a) 0 (b) 1 (c) Between 0 and 1 (d) Infinity 17. Primarydeficit ina government budget is(Choose thecorrect alternative) 1 (a) Revenue expenditure - Revenue receipts (b) Totalexpenditure -Totalreceipts (c) Revenue deficit - Interest payments (d) Fiscaldeficit - Interest payments 18. Direct taxis called direct because it is collected directlyfrom: (Choose the correct alternative) 1 (a) The producers on goods produced (b) The sellers on goods sold (c) The buyers ofgoods (d) The income earners 19. Other things remaining the same, when in a country the market price offoreign currencyfalls, nationalincome is likely: (Choosethe correct alternative) 1 (a) to rise (b) to fall (c) to rise or to fall (d) to remainunaffected Download From: http://www.cbseportal.com
  • 297. 281 20. Ifthe RealGDP is ` 400 and NominalGDP is ` 450, calculate the Price Index (base = 100). 3 21. What are fixedand flexible exchange rates? 3 OR Explainthemeaning ofManaged Floating Exchange Rate. 22. Where is 'borrowings fromabroad' recorded in the Balance ofPaymentsAccounts? Give reasons. 3 23. Explainthe"Bankers' Bank function" ofthe centralbank. 4 OR Explainthe "BankofIssue function" ofthe centralbank. 24. Currencyis issued bythe centralbank, yet we saythat commercialbanks create money. Explain. How is this moneycreationbycommercialbankslikelyto affect the nationalincome?Explain. 4 25. An economy is in equilibrium. Calculate the Investment Expenditure from the following: 4 NationalIncome = 800 MarginalPropensityto Save = 0·3 Autonomous Consumption= 100 26. Giving reasonexplainhow the followingshould be treated inestimation ofnational income: 6 (i) Payment ofinterest bya firmto a bank (ii) Payment ofinterest bya bank to anindividual (iii) Payment ofinterest byanindividualto a bank Download From: http://www.cbseportal.com
  • 298. 282 27. What is 'deficient demand' ? Explain therole of'Bank Rate'in removing it. 6 OR What is 'excess demand' ? Explain therole of'Reverse Repo Rate'in removing it. 28. Explain howthe government canusethe budgetarypolicyinreducing inequalities inincomes. 6 29. Calculate the'NationalIncome' and 'Private Income' : 6 (` crores) (i) Rent 200 (ii) Net factor income to abroad 10 (iii) Nationaldebt interest 15 (iv) Wages and salaries 700 (v) Current transfersfromgovernment 10 (vi) Undistributed profits 20 (vii) Corporationtax 30 (viii) Interest 150 (ix) Socialsecuritycontributions byemployers 100 (x) Net domestic product accruing to government 250 (xi) Net current transfers to rest ofthe world 5 (xii) Dividends 50 Download From: http://www.cbseportal.com
  • 299. 283 Marking Scheme — Economics General Instructions 1. Please examine eachpart ofa questioncarefullyand thenallocate the marks allotted for the part as given in the marking scheme below. TOTALMARKS FORANYANSWER MAYBE PUTINACIRCLE ONTHE LEFT SIDE WHERE THEANSWER ENDS. 2. Expected suggested answers have been given in the Marking Scheme. To evaluate the answers the valuepoints indicated inthe marking scheme be followed. 3. Forquestionsaskingthecandidatetoexplainordefine,thedetailedexplanationanddefinition have beenindicated alongwiththe value points. 4. For mere arithmeticalerrors,thereshould beminimaldeduction. Only½ mark be deducted for suchan error. 5. Wherever onlytwo / three ora "given" number ofexamples / factors /points are expected onlythe first two / three or expected number should be read. The rest are irrelevant and must not be examined. 6. There should be no effort at "moderation" ofthe marks bythe evaluating teachers. The actualtotalmarks obtained bythe candidate maybe ofno concernto the evaluators. 7. Higher order thinkingabilityquestions are assessing student's understanding / analytical ability. General Note : In case of numerical question no mark is to be given if only the final answer is given. QUESTION PAPER CODE 58/1/1 Q.No. EXPECTEDANSWERS/VALUE POINTS Distribution Section – A of marks 1 p1 x1 + p2 x2 = m 1 2 (a) Shifts tothe right. 1 3 (d) Downwardslopingstraight line 1 Download From: http://www.cbseportal.com
  • 300. 284 4 Good X GoodY (Units) (Units) MRT 0 10 - 1 9 1Y:1X 2 7 2Y:1X 3 4 3Y:1X 4 0 4Y:1X l½ Since MRT is increasing, the PPcurve is downward sloping and Concave to the origin. l½ (Diagram not required) 5 Cleanliness reduceschances ofpeople fallingilland, thus canensure better health. This in turn willreduce forced absenteeismfromwork, raise efficiencylevel and thusraise country'sproductionpotential. Rise inthis potentialshiftsPPcurve to the right. 3 (Diagram not required) OR Large scaleoutflow offoreigncapitalfromthe economywillreduce resources and thus productionpotentialofthecountrywillfall. Fallinproductionpotentialinturn willshift the PP-Curve downwards. 3 (Diagram not required) 6 The measure ofprice elasticityofdemand has a minus signbecausethere is inverse relation between price and demand ofanormalgood, while themeasure ofprice elasticityofsupplyhas plus sign becausethere is direct relationbetweenprice and supplyofa good. 3 7 The feature signifies that the number ofbuyers ina perfectlycompetitive market is so largethat anyindividualbuyerisnot inapositionto influence themarket priceon its ownbypurchasing more orless. It is becausethe individualbuyer's shareintotal purchase inthemarket is insignificant. 3 Download From: http://www.cbseportal.com
  • 301. 285 8 1 Maximumpriceceiling refers to impositionofupper limit onthe price ofagood by the government. For example, inthediagramOP is priceceiling while equilibrium price is OP1 .At this price the producers are willing to supply only PA(Or OQ1 ) while consumers demand PB (Or OQ2 ). The effect ofthe ceiling is that shortage, equaltoAB (O1 Q2 ) is created, whichmayfurther lead to black marketing. 2 For blind Candidates Only: Price ceiling means putting the upper limit bythe government onthe price that can be charged bythe producers ofa good fromthe buyers. 1 Maximumprice ceiling,is lower thanequilibriumprice, leads to rise indemand and fallinsupply.Thiscreatesshortageofthe good inthe market.Thismaylead to black marketing. 2 9 Price Exp. Demand 8 1000 125 10 1000 100 1½ P Q Q p Ep    1 = 2 25– 125 8  1 = – 0.8 ½ 10 Cost ineconomicsrefers to the sumofactualmoneyexpenditure oninputs and the imputed expenditureinthe formofinputs supplied bythe owners including normal profit. 1 Download From: http://www.cbseportal.com
  • 302. 286 IfMC <AVC, thenAVC falls IfMC =AVC, thenAVC is constant If MC >AVC, thenAVC rises (Diagram not required) 3 OR Revenue inEconomics refers to the market value ofoutput produced Or receipts fromsaleofoutput produced. 1 If MR >AR,AR rises IfMR =AR,AR is constant If MR <AR,AR Falls. (Diagram not required) 3 11 Given Px= 3, Py = 3 and MRS = 3,Aconsumer is said to be in equilibrium when MRS = y x p p Substitutingvalueswe find that 3 > 3 3 i.e. MRS > y x p p Thereforeconsumer isnot inequilibrium. MRS > y x p p means that consumer is willing to paymore for one more unit ofX as compared to what market demands. 3 - The consumerwillbuymore unitsofX. - As a result MRS willfalldueto the Law ofDiminishing MarginalUtility - This willcontinue tillMRS = y x p p and consumer is inequilibrium (Diagram not required) 3 Download From: http://www.cbseportal.com
  • 303. 287 OR Given Px = 4 , Py = 5 and MUx = 5 , MUy = 4,a consumer will be in equilibrium when y y x x p MU p MU  Substituting values,wefindthat y y x x p MU p MU Or  5 4 4 5 3 Since per rupee MUx is higher than per rupee MUy , consumer is not in equilibrium. The consumer willbuymore ofX and less ofY.As a result MUx willfalland MUy willrise. The reactionwillcontinue till y y x x p MU and p MU are equaland consumer isinequilibrium. 3 12 The Phases are: Phase : I TPrises at increasing rate i.e. uptoAin diagram. MP rises i.e. upto 'a' Phase : II TPrises at decreasing rate i.e. betweenAand B. MPfalls and remains positive between 'a' and 'b'. Phase : III TP falls i.e. after B. MP falls and is negative i.e. after 'b' 1×3 3 (Diagram on single axis is also correct) Download From: http://www.cbseportal.com
  • 304. 288 For blind Candidates Only: Variable input TP MP (Units) (Units) (Units) 1 6 6 2 20 14 3 32 12 Or any other 4 40 8 relevant 3 5 40 0 numerical 6 37 -3 example Phases: (1) TP increases at increasing rate and MP risesupto 2 units. (2) TP increases at decreasing rate and MP falls but remains positive from3 to 3 5units. (3) TP falls and MP becomesnegative from6 unit onwards. 13 The producer's equilibriumconditions are: (i) MC = MR and (ii) MC > MR after equilibrium. Suppose MC > MR. In this situation it willbe profitable for the firm to produce more or less depending upon relative changes in MC and MR tillMC = MR. 3 Suppose MC < MR. It willbe profitable for theproducer to produce more till MC = MR. MC= MR is not a sufficient condition to ensure equilibrium. Given MC = MR, suppose thebehaviour of MC and MR is such that ifone more unit is produced. MC becomes less than MR. Theninthis case it willbe profitable for thefirmto produce more.Therefore, in this case thoughMC = MR the producer is not inequilibrium. However, ifafter MC = MR output MC becomes greater than MR, it will be most advantageous for the firmto produce onlyupto MC = MR. 3 (Diagram not required) Download From: http://www.cbseportal.com
  • 305. 289 14 - Givenequilibrium,demand increases. - Price remaining unchanged,excess demand emerges. - This leads to competitionamong buyers causing price to rise. - Rise inprice causes fall(contraction)in demand and rise (expansion) in supply. - The price continues to rise tillthe market is in equilibrium again at a higher price 6 (Diagram not required) SECTION - B 15 Aggregate supplyis the value oftotalquantityoffinalgoods and services planned to be produced in an economyduring a period. 1 16 (b) MPS 1 1 17 (b) Fiscaldeficit 1 18 (e) Dividends 1 19 (a) Likelyto rise 1 20 RealGDP = IndexPrice GDPNominal × 100 1½ 200 = 100 110 GDPNominal  1 NominalGDP = 220 100 110200   ½ (No marks if only the final answer is given) 21 (1) Borrowings fromand to abroad (2) Investments fromand to abroad. (3) Decreases and increases in foreign exchange reserves. 1×3 Download From: http://www.cbseportal.com
  • 306. 290 OR (1) Exports and imports ofgoods (2) Exports andimports ofservices (3) Factor incomereceipts fromabroad and payments to abroad. 1×3 (4) Transfers fromand to abroad. (Any Three) 22 Sale ofmachineryto abroad is export ofgoods and thus recorded in the Current Account. 1½ Sale ofmachineryto abroad brings inforeign exchange and thusrecorded on the credit side. 1½ (No marks if the reasons are not given) 23 The central bank is the sole authority for the issue of currency in the country. It promotes efficiencyinthe financialsystem.Firstly, because it leads to uniformityin the issueofcurrency, Secondly, becauseit gives CentralBankcontrolover money supply. 4 OR The Central Bank acts as a banker to the government. The central bank accepts receipts and makes payments for the government and carries out exchange, remittance and other normalbanking operations for the government. The central bank manages public debt and also lends to government. 4 (To be marked as a whole) 24 - Opening more bank accounts means morebank deposits. - Moredepositsmeansincreaseinthelendingcapacityofthecommercialbanks. - More lending bybanks means more investment in the country. 4 - More investment means more nationalincome. 25 Y = C + M P C (Y) + 1 1½ Y = 100 + (1 – 0.2) Y + 200 2 Download From: http://www.cbseportal.com
  • 307. 291 0.2Y = 300 ½ Y = 1500 (No marks if only the final answer is given) 26. (i) Payment offeesto chartered accountant bya firmis intermediate cost to the firmand,therefore not included. 2 (ii) Payment of corporate tax by a firm is a transfer payment and thus not included. 2 (iii) Purchase ofa refrigerator bya firm for own use is investment expenditure and thus included. (No marks if reason is not given) 2 27 The Inflationary Gap is the amount by which the aggregate demand exceeds aggregatesupplyatthefullemployment level.It iscalledinflationarybecauseit leads to rise in price level. 2 Bepo Rate is therate ofinterest at whichcentralbank lendsto commercialbanks for a short period. When central bank raises Repo Rate, the borrowings by the commercialbanks become costly. This forces the commercialbanks to raise their lending rates. People borrow less, and therefore spend less. Thishelps in reducing inflationarygap. 4 (Diagram not required) OR DeflationaryGapistheamountbywhichtheaggregatedemandfallsshortofaggregate supplyat the fullemployment level.It is called deflationarybecause it leads to a fall inprice level. (Diagram not required) 2 Open Market Operations refer to buying and selling ofgovernment securities by the centralbank in the openmarket. Centralbank can reducedeflationarygap by buying securities. Those who sell receive payments by cheques fromthe central bank. The money flows out fromCentral bank into the commercial banks. This raiseslendingcapacityofcommercialbanks.Banks lendmore.Spendingriseswhich reduces deflationarygap. 4    Download From: http://www.cbseportal.com
  • 308. 292 28 Government caninfluenceallocationofresourcesbyinfluencingmarket mechanism throughtaxes,subsidies and direct participationinproduction. Heavytaxescanbe imposed on productionunits engaged in producing harmfulproducts like liquor, cigarettesetc.Taxconcessionsand subsidiescanbe givento encourageproduction ofproducts usefulfor the masses. Government can directlyproduce goods and services normallyignored bythe private sector due to lack ofenough profits. 6 (To be marked as a whole) 29 N.I. = ii + v + (vii + x) – xi – viii – xii 1½ = 600 + 100 + 70 + (–10) – 20 – 60 – 10 1 = Rs. 670 Crore. ½ PDI = iv – vi – iii – i 1½ = 650 – 50 – 30 – 80 1 = Rs. 490 Crore ½ (No marks if only the final answer is given) QUESTION PAPER CODE 58/1 Q.No. EXPECTEDANSWERS/VALUE POINTS Distribution Section – A of marks 1 It is the locus ofpoints representingsuch bundles oftwo goods, among which the consumeris indifferent. 1 2 (b) Complements 1 3 (b) Downward sloping concave. 1 4 Good X GoodY (Units) (Units) MRT 0 30 - Download From: http://www.cbseportal.com
  • 309. 293 1 27 3Y:1X 2 21 6Y:1X 3 12 9Y:1X 4 0 12Y:1X 1½ Since MRTis increasing, the PPcurveis downward sloping concave to the origin. 1½ (Diagram not required) 5 'Make inIndia' appealsignifiesinvitationto foreign producers to produce in India. Thiswillleadto increaseinresourcesthusraisingproductionpotentialofthecountry. As aresult PP curve willshift upwards. 3 (Diagram not required) OR Reducing unemployment has no effect onthe productionpotentialofthe country. It is becauseproductionpotentialis determinedassuming fullemployment. 3 Unemployment indicated that the countryis operating below potential. Reducing unemployment simplyhelpsinreaching potential. (Diagram not required) 6 The measure ofprice elasticityofdemand has a minus signbecausethere is inverse relation between price and demand ofanormalgood, while themeasure ofprice elasticityofsupplyhas plus sign becausethere is direct relationbetweenprice and supplyofa good. 3 7 This implies that buyers do not differentiate between products ofdifferent firms in the industry.As such theyarewilling to payonlythe same price for the products of allthe firms.As a result a uniformprice prevails in the market. 3 8. Whengovernment imposeslowerlimit onapricethat maybechargedforaparticular good or service, it is called minimumprice ceiling e.g. price OP1 .At this price the producers are willing to supplyP1 B or (OQ2 ) While consumers demand onlyP1 A (=OQ1 ). Unable to sellallthey want to sell, the producers may tryto illegally sell below theminimumprice. (Answer based onminimumwages isalso correct) 2 Download From: http://www.cbseportal.com
  • 310. 294 For blind Candidates Only: When government imposes a lower limit ona price that maybe charged bythe producers ofa good or service, it is called price floor. 1 Since this priceis above the equilibriumprice, at this price producers are willing to supplymorebut thebuyersarewillingto buyless.Thiscreates surplusinthemarket. Due to this producers mayadopt illegalways and sellthe product or service at a lower price. 2 9 Price Exp. Demand 10 1000 100 8 800 100 1½ P Q Q p Ep    1 = 2– 0 100 10  1 = 0 ½ 10 (a) AFC falls continuouslyas more and more output is produced. 2 (b) AVC falls initiallyand after a levelofoutput, starts rising asmore and more output is produced. 2 OR Average revenue equalsTotalRevenue divided bythe output produced. 1 1 Download From: http://www.cbseportal.com
  • 311. 295 TR = P × Q 1 AR = Q TR And AR = Q QP = P 3 11 Given Px = 2 , Py= 2 and MRS = 2,Aconsumer is said to be in equilibriumwhen MRS = y x P P Substituting the valueswe findthat 2 > 2 2 i.e. MRS > y x P P Therefore,consumer isnot inequilibrium. MRS > y x P P Pxmeans that consumer is willing to paymore for one more unit ofX as 3 compared to what the market demands. The consumer willbuymore and more of X.Asa result MRSwillfalldueto theLawofDiminishing MarginalUtility.This will continue tillMRS = y x P P and consumer is inequilibrium. (Diagram not required) 3 OR Given Px = 5 , Py = 4 and MUx = 4, MUy = 5, the consumer willbe in equilibrium when y y x x p MU p MU  Download From: http://www.cbseportal.com
  • 312. 296 substituting values,wefind that y y x x p MU p MU  Or 4 5 5 4 3 The consumer isnot inequilibrium. Since per rupee MUx is lower than per rupee MUy , theconsumer willbuyless ofx and more ofy.Asa result due to Law ofDiminishing MarginalUtility, MUx willrise and MUx willfalltill 3 y y x x p MU p MU  (Diagram not required) 12 The Phases are : Phase: I MPrises upto A Phase: II MP falls but is positive i.e. betweenAand B. Phase: III MP falls and is negative i.e. after B 1½ Reasons Phase I : Initially variable input is too small as compared to the fixed input,As productionis increased there is specializationofvariable inputs andefficient use of the fixedinput leading to rise in productivityofthe variable input.As a result MP rises. 3 PhaseII:Afteralevelofoutputapressureonfixedinput leads to fallinproductivity ofthe variableinput. MP starts falling but remains positive. Phase III : The amount ofvariable input becomes too large incomparison to the fixed input causingdecline intotalproduct.MP becomes negative Download From: http://www.cbseportal.com
  • 313. 297 For blind Candidates Only: Variable input TP MP (Units) (Unit) (Unit) 1½ 1 6 6 2 20 14 3 32 12 4 40 8 5 40 0 6 37 –3 Phases: (1) TP increasesat increasing rate upto 2 units. (2) TP increases at decreasing rate upto 5 units. (3) TP falls from6 unit onwards. ½×3 Causes: Same as above 3 1½ Download From: http://www.cbseportal.com
  • 314. 298 13 The equilibriumconditions are: (i) MC =MR and (ii) MC > MR after equilibrium Suppose MC = MR condition is not met. Let MC > MR. In this it will be profitable for thefirmto produce moreor less depending uponthe relative changes in MC and MR till MC = MR. Similarly, if MC < MR it will also be profitable to produce more tillMC = MR. 3 Now Suppose 'MC > MR after equilibriumcondition is not met' and MC < MR after equilibrium.Inthiscasethefirmwillnotbeinequilibrium,becauseitcanincrease its profitsbyproducing more. 3 (Diagram not required) 14 - Given equilibrium,Supply'decreases'. - Price remaining unchanged,excess demand emerges. - Excess demand leads to competition betweenbuyers causing price to rise. - Rise in price causes fall (contraction) in demand and rise (expension) in supply. - Rise inprice continues tillthe market is inequilibriumagainat a higher price. (Diagram not required) 6 SECTION - B 15. Value of final products the buyers are planning to buy during a given period at a givenlevelofincome. 1 16 (d) infinity 1 17 (d) Fiscaldeficit Minus interest payment 1 18 (d) the income earners 1 19 (b) to fall 1 20 RealGDP = 100 IndexPrice EDPNominal  1½ Download From: http://www.cbseportal.com
  • 315. 299 400 = 100 IndexPrice 450  1 Price Index= 5.112 400 110450   ½ (No marks if only the final answer is given) 21 Fixed Exchange Rate is the exchange rate fixed bythe government / centralbank and is not influenced bythe demand and supplyofforeign exchange. 1½ Flexible exchange rate is the exchange rate determined by the forces ofdemand and supply of foreign exchange in the market and is influenced by the market forces: 1½ OR Managed floatingexchange rate is the flexible exchange rate withintervention by the centralbank through the market for foreign exchange to reduce fluctuations in the rate. Whenforeign exchange rate istoo high, the centralbankstarts selling the foreigncurrencyfrom its reserves. Whenit is too low central bank starts buying foreign currencyinthe market. 3 22 'Borrowings fromabroad' is recorded in the 'capital account' ofBOP account because it increases internationalliabilityofthe country. 1½ It is recorded on the credits side because it brings inforeign exchange into the country. 1½ 23 As the banker to the banks, the Central Bank holds a part ofthe cash reserves of commercialbanks. Fromthese reserves it lends to commercialbanks when they are in need of funds. Central bank also provides cheque clearing and remittance facilities to the commercialbanks. 4 OR The central bank is the sole authority for the issue of currency in the country. It promotesefficiencyinthefinancialsystem.Itleadstouniformityintheissueofcurrency, and it gives CentralBank controlover moneysupply. 4 Download From: http://www.cbseportal.com
  • 316. 300 24 Money supply has two components: Currency and demand deposits with commercialbanks.Currencyis issued bythecentralbankwhiledeposits are created bycommercialbanksbylending moneytothepeople.Inthiswaycommercialbanks also create money. 2 Commercial banks lend moneymainlyto investors. The rise in investment inthe economyleads to rise innationalincome throughthe multiplier effect. 2 25 Y = C + MPC (Y) + I 1½ 800 = 100 + (1 – 0.3)800 + I 2 I = 800 – 100 – 560 = 140 ½ (No marks if only the final answer is given) 26 (i) Payment ofinterest by a firmto bank is treated as a factor payment by the firmbecausethefirmborrowsmoneyforcarryingoutproductionandtherefore included innationalincome. 2 (ii) Payment of interest by bank to an individual is a factor payment because bank borrows for carrying out banking services and therefore includedin nationalincome. 2 (iii) Payment ofinterest byanindividualto bank isnot included innationalincome because the individualborrows for consumption and not for production. 2 (No marks if reason is not given) 27 Deficient Demand : is the amount by which the aggregated demand falls short ofaggregatesupplyat fullemployment level. It causes fallinprice level. 2 BankRate: is therate ofinterest at whichcentralbank lendsto commercialbanks for long term. The central bank can reduce deficient demand by lowering Bank Rate. When central bank lowers bank rate. Commercial banks also lower their lending rates. Since borrowing becomes cheaper, people borrow more. This leads to risein aggregate demand and thus helps inreducing deficient demand. 4 OR Download From: http://www.cbseportal.com
  • 317. 301 Excess Demand : is the amount by which the aggregated demand exceeds aggregate supplyat fullemployment level.It causes inflation. 2 Reverse Repo Rate : is the rate ofinterest paid bythe central bank on deposits bycommercialbanks.CentralBankcanreduceexcessdemandbyraisingtheReverse Repo Rate. When the rate is raised, it encourages the commercialbanks to park their funds withthe centralbank. This reduces lending capacityofthe commercial banks.Lendingbythecommercialbankstopublicdeclinesleadingtofallinaggregate demand. 4 28 Government can reduce inequalities through its tax and expenditure policy. Government cancharge higher rate oftaxfromhigher incomegroups byimposing higher rate ofincome tax and higher rate on goods and services purchased bythe rich.Themoneyso collected canbe spent onthepoorinthe formoffree education, free medical facilities, cheaper housing etc. in order to raise their disposable income. 6 29 N.I. = (iv + ix) + i + viii + (vi + vii + xii) - ii 1½ = 700 + 100 + 200 + 150 + 20 + 30 + 50 – 10 1 = Rs. 1240 Crore. ½ Private Income = N. I. – x + iii – xi + v 1½ = 1240 – 250 + 15 – 5 + 10 1 = Rs. 1010 Crore (No marks if only the final answer is given) ½ Download From: http://www.cbseportal.com
  • 318. 302 BUSINESS STUDIES Time allowed : 3 hours Maximum Marks : 80 General Instructions: (i) Answer to questions carrying 1 mark may be from one word to one sentence. (ii) Answer to questions carrying 3 marks may be from 50 - 75 words. (iii) Answer to questions carrying 4 - 5 marks may be about 150 words. (iv) Answer to questions carrying 6 marks may be about 200 words. (v) Attempt all parts of question together. QUESTION PAPER CODE 66/1/1 1. Whatismeantby'efficiency'inmanagement? 1 2. Howdoesmanagementhelpinachievingpersonalobjectives?State. 1 3. Define'planningpremises'. 1 4. Alliance Ltd. is engaged in manufacturing plastic buckets. The objective of the company is to manufacture 100 buckets a day. To achieve this, the efforts of all departmentsareco-ordinatedandinterlinkedandauthority-responsibilityrelationship isestablishedamongvariousjobpositions.Thereisclarityonwhoistoreporttowhom. Namethefunctionofmanagementdiscussedabove. 1 5. Explain how 'cost of debt' affects the choice of capital structure of a company. 1 6. 'IndianLogistics'hasitsownwarehousingarrangementsatkeylocationsacrossthe country. Its warehousing services help business firms to reduce their overheads, increaseefficiencyandcutdowndistributiontime. Statewithreason,whethertheworkingcapitalrequirementsof'IndianLogistics' willbehighorlow. 1 Download From: http://www.cbseportal.com
  • 319. 303 7. 'Beauty Products Ltd' is a natural and ethical beauty brand famous for offering organic beauty products for men and women. The company uses plant based materials for its products and is the No.1 beauty brand in the country. It not only satisfiesitscustomersbutalsobelievesinoverallprotectionoftheplanet. Identifythemarketingmanagementphilosophybeingfollowedby'BeautyProducts Ltd.' 1 8. On Sonika's birthday her mother gave her a pair of gold earrings.After one month Sonika observed that the ear-rings are losing their shine. She checked the mark on the ear-rings and found that it was not a proper Hallmark and her mother had been cheated by the shopkeeper. So, she filed a complaint in the district forum which rejectedit.Notsatisfiedbythedecisionofdistrictforum,shewasverymuchdisturbed and after two months decided to appeal further. Can Sonikaappealagainstthedecisionofthedistrictforum?Givereasoninsupport of your answer. 1 9. What is meant by 'functional structure' of an organisation? State its any two advantages. 3 10. Explain how the 'product related factors' affect the choice of channels of distribution? 3 11. Pramod was a supervisor at 'AnnapurnaAata' factory.The factory was producing 200 quintals of aata every day. His job was to make sure that the work goes on smoothly and there was no interruption in production. He was a good leader who wouldgiveordersonlyafterconsultinghissubordinatesandworkoutthepolicies with the acceptance of the group. Identify and describe the leadership style being adopted by Pramod. 3 12. 'Financial market plays an important role in the allocation of scarce resources inaneconomy by performing many important functions.' Explain anythreesuch functions. 3 Download From: http://www.cbseportal.com
  • 320. 304 13. Neeraj, a sales representative of 'Omida Ltd.' has changed seven jobs in the last one year. He is a hard working person but is not able to finalise deals with the customers due to his inadequate vocabulary and omission of needed words. Sometimes he uses wrong words because of which intended meaning is not conveyed.Allthiscreatedamis-understandingbetweenhimandhisclients. (a) Identifythecommunicationbarrierdiscussedabove. (b) Statethecategoryofthiscommunicationbarrier. (c) Explainanyothercommunicationbarrierofthesamecategory. 3 14. What is meant by 'business environment'? State any three points of its importance. 4 15. ExplainthefollowingrightsofaconsumerasprovidedunderConsumersProtection Act 1986 : 4 (a) Righttobeinformed;and (b) Right to seek redressal. 16. Samir Gupta started a telecommunication company, 'Donira Ltd.' to manufacture economical mobile phones for the Indian rural market with 15 employees. The company did very well in its initial years.As the product was good and marketed well, the demand of its products went up. To increase production the company decided to recruit additional employees. Samir Gupta, who was earlier taking all decisions for the company had to selectively disperse the authority. He believed that subordinates are competent, capable and resourceful and can assume responsibilityforeffectiveimplementationoftheirdecisions.Thispaidoffandthe companywasnotonlyabletoincreaseitsproductionbutalsoexpandeditsproduct range. 4 (a) IdentifytheconceptusedbySamirGuptathroughwhichhewasabletosteer hiscompanytogreaterheights. (b) Alsoexplainanythreepointsofimportanceofthisconcept. Download From: http://www.cbseportal.com
  • 321. 305 17. The workers of 'Vyam Ltd.' are unable to work on new and hi-tech machines imported by the company to fulfill the increased demand. Therefore, the workers areseekingextraguidancefromthesupervisor. The supervisor is overburdened with the frequent calls of workers. Suggest how the supervisor, by increasing the skills and knowledge of workers, canmakethemhandletheirworkindependently? Also state any three benefits that the workers will derive by the decision of the 4 supervisor. 18. 'AapkaVidyalaya'believesinholisticdevelopmentofstudentsandencouragesteam buildingthroughamixofcurricular,co-curricularandsportsactivities.Onitsfounders dayastageperformancehadtobeputup.Acommitteeoftenprefectswasconstituted toplandifferentaspectsofthefunction.Theyalldecidedtouserecycledpaperfor decoration. There was a spirit of unity and harmony and all members supported eachother.Withmutual.trustandbelongingnesstheprogrammewassystematically planned and executed. Kartik, one of the prefects realised that unknowingly the grouphadappliedoneoftheprinciplesofmanagementwhileplanningandexecuting theprogramme.Hewassoinspiredbythesuccessofthefunctionthatheaskedhis father to apply the same principle in his business. His father replied that he was alreadyusingthisprinciple. 4 (a) Identifytheprincipleofmanagementappliedforthesuccessoftheprogramme. (b) Stateanytwofeaturesofmanagementhighlightedintheabovepara. (c) Identifyanytwovalueswhich'AapkaVidyalaya'communicatedtothesociety. 19. 'Ganesh Steel Ltd.' is a large and credit-worthy company manufacturing steel for the Indian market. It now wants to cater to theAsian market and decides to invest innewhi-techmachines.Sincetheinvestmentislarge,itrequireslong-termfinance. Itdecidestoraisefundsbyissuingequityshares.Theissueofequitysharesinvolves huge floatation cost.To meet the expenses of floatation cost the company decides to tap the money-market. Download From: http://www.cbseportal.com
  • 322. 306 (a) Nameandexplainthemoney-marketinstrumentthecompanycanuseforthe above purpose. (b) What is the duration for which the company can get funds through this instrument? (c) State any other purpose for which this instrument can be used. 4 20. Stateanyfivefeaturesof'Planning'. 5 21. Smitahadbeenworkingasanassistantmanagerwith'JohnsonEnterprises'forthe last ten years. She was very popular amongst her colleagues because of her commitment and dedication towards the work. When the manager senior to her retired, all her colleagues thought that now Smita would be promoted. But to everyone's surprise the vacant post was filled by an outsider, Mrs. Rita. Smita felt demoralisedandherperformancestarteddeclining.Shewouldabstainherselfoften and could not meet her targets. Mrs. Rita was a good leader, who would not only instruct her subordinates but wouldalsoguideandinspirethem.ShenoticedSmita'sbehaviourandfeltthather performance could be improved. She started involving Smita in decision making- issues related to the organisation and made her a part of high level joint- managementcommittee.Smitawasnowpunctualinofficeandherperformancestarted improving. 5 (i) IdentifythefunctionofmanagementbeingperformedbyRita. (ii) NametheelementoftheabovefunctionofmanagementwhichhelpedRitato improveSmita'sbehaviour. (iii) Stateanythreefeaturesoftheelementidentifiedin(ii)above. 22. A company was manufacturing 'LED bulbs' which were in great demand. It was found that the target of producing 300 bulbs a day was not met by the employees. On analysis, it was found that the workers were not at fault. Due to electricity failureandshortageofworkers,thecompanywasnotabletoachievethesettargets and alternative arrangements were needed. Download From: http://www.cbseportal.com
  • 323. 307 To meet the increased demand, the company assessed that approximately 88 additional workers were required out of which 8 would work as heads of different departments and 10 would work as subordinates under each head. The required qualifications and job specifications were also enlisted. It was also decided that necessaryrelaxationshouldbegiventoencouragewomen,personsfrombackward andruralareasandpersonswithspecialabilitiestoassumeresponsiblepositionsin theorganisation.Alleffortsweremadetomatchtheabilityoftheapplicantswiththe nature of work. 5 (a) Identifythefunctionsofmanagementdiscussedabove. (b) State the two steps in the process of each function discussed in the above para. (c) List any two values which the company wants to communicate to the society. 23. With the help of a diagram explain 'Functional Foremanship' as a techniqueof scientificmanagement. 6 24. 'SarahLtd.'isacompanymanufacturingcottonyarn.Ithasbeenconsistentlyearning good profits for many years. This year too, it has been able to generate enough profits.Thereisavailabilityofenoughcashinthecompanyandgoodprospectsfor growth in future. It is a well managed organisation and believes in quality, equal employmentopportunitiesandgoodremunerationpractices.Ithasmanyshareholders whoprefertoreceivearegularincomefromtheirinvestments. It has taken a loan of ` 40 lakhs from IDBI and is bound by certain restrictions on the payment of dividend according to the terms of loan agreement. The above discussion about the company leads to various factors which decide how much of the profits should be retained and how much has to be distributed by thecompany. Quoting the lines from the above discussion identify and explain any four such factors. 6 Download From: http://www.cbseportal.com
  • 324. 308 25. 'Hayaram'isafamouschainsellingalargevarietyofproductsintheIndianmarket. Their products include chips, biscuits, sweets and squashes. It charges a comparativelyhigherpricethanitscompetitorsasitsellsqualityproducts.Besides, it offers regular discounts to its customers and easy credit terms to its retailers. It has five of its own retail shops. It also sells its products through various grocery storessothattheproductsaremadeavailabletocustomersattherightplace,inthe rightquantityandattherighttime.Itregularlyusesdifferentcommunicationtoolsto increase its sales. TheaboveparadescribesthecombinationofvariablesusedbyHayaramtoprepare itsmarketoffering.Identifyandexplainthevariables. 6 QUESTION PAPER CODE 66/1 1. Whatismeantby'BusinessEnvironment'? 1 2. Explain,howmanagementhelpsinthedevelopmentofsociety. 1 3. Give the meaning of 'Objectives' as a type of plan. 1 4. 'Himalaya Ltd.', is, engaged in manufacturing of washing machines. The target of the organisation is to manufacture 500 washing machines a day. There is an occupationalspecialisationintheorganisationwhichpromotesefficiencyofemployees. Thereisnoduplicationofeffortsinsuchtypeoforganisationstructure. Identify the type of organisation structure described above. 1 5. How does 'cost of equity' affect the choice of capital structure of a company? Explain. 1 6. 'BharatExpress'specialisesinCourierServices.Its'widerangeofexpresspackage and parcel services' help business firms to make sure that the goods are made available to the customers at the right place and at the right time. Statewithreason,whethertheworkingcapitalrequirementsof'BharatExpress'will be high or low. 1 Download From: http://www.cbseportal.com
  • 325. 309 7. 'Maruti Vega Ltd.' entered into the market with coloured television and have now introduced products like audio systems, air-conditioners washing machines, etc. The company is not only offering the products but also handling complaints and offeringafter-salesservices. Identifytheelementofmarketing-mixdiscussedhere. 1 8. Himanshu purchased a new car from 'Galaxy Motors' for ` 25 lakhs. He was offered free insurance for the first year and three free servicing to be availed after the car had covered 5,000 km, 10,000 km and 15,000 km respectively. When Himanshu took the car for the first free servicing, he was told that the car was not newandfirstservicehadalreadybeenavailedonthiscar.Hefeltcheatedandfiled a complaint in the State Commission. Being not satisfied with the decision of the State Commission, after two months he decided to file an appeal against it. Can Himanshu appeal against the decision of the State Commission ? Give reason in support of your answer. 1 9. What is meant by 'Formal Organisation' ? State its any two advantages. 3 10. How do the 'Company-related factors' affectthechoiceofchannels of distribution? Explain. 3 11. 'A.S. Ltd.' is a large company engaged in assembly of air-conditioners. Recently the company had conducted the 'Time' and 'Motion' study and concluded that on anaverageaworkercanassembletenair-conditionersinaday.Thetargetvolume of the company in a day is assembling of 1,000 units of air-conditioners. The company is providing attractive allowances to reduce labour turnover and absenteeism.Alltheworkersarehappy.Eventhentheassemblyofair-conditioners per day is 800 units only. To find out the reason the company compared actual performance of each worker and observed through C.C.T.V. that some of the workerswerebusyingossiping. (a) Identifythefunctionofmanagementdiscussedabove. (b) State thosestepsintheprocessofthefunctionidentifiedwhich are discussed in the above paragraph. 3 Download From: http://www.cbseportal.com
  • 326. 310 12. 'TheStockExchangeperformsmanyvitalfunctionsintoday'scommercialworld.' Explainanythreesuchfunctions. 3 13. JaideeprecentlyjoinedastheManagingDirectorof'TivoriLtd.',anappareldesigning company. He observed that the company had a number of experienced fashion designersonitspayroll.Theyregularlyofferedusefulsuggestionswhichwereneither appreciated nor rewarded by the company. Instead the company outsourced its servicestosomerenownedfashiondesignersandpaidthemagoodcompensation for their services. Because of this the employees felt disheartened and stopped givingusefulsuggestions. (a) Identifythecommunicationbarrierdiscussedabove. (b) Statethecategoryofthiscommunicationbarrier. (c) Explainanyothercommunicationbarrierofthesamecategory. 3 14. What is meant by 'Management' ? State any three objectives of management. 4 15. Explain any four points of importance of 'consumer protection' from thepointof viewofbusiness. 4 16. Neeraj Gupta started a company 'YoYo Ltd.' with ten employees, to assemble economicalcomputersfortheIndianruralmarket.Thecompanydidverywellinits initial years.As the product was good and marketed well, the demand went up.To increase production the company decided to recruit additional employees. Neeraj Gupta, who was earlier taking all decisions for the company, had to selectively disperse the authority. He believed that people are competent, capable and resourceful and can assume responsibility for effective implementation of their decisions.Thispaidoffandthecompanywasnotonlyabletoincreaseitsproduction but also expanded its product range with different features. (a) Identify the concept used by Neeraj Gupta through which he was able to steer his company to greater heights. (b) Alsoexplainanythreepointsofimportanceofthisconcept. 4 Download From: http://www.cbseportal.com
  • 327. 311 17. The workers of 'Gargya Ltd.' are unable to work on new computerised machines imported by the company to fulfil the increased demand. Therefore, the workers areseekingextraguidancefromthesupervisorandthesupervisorisoverburdened withthefrequentcallsofworkers. Suggest how the supervisor, by increasing the skills and knowledge of workers, canmakethemhandletheirworkindependently. Also state any three benefits that the workers will derive by the decision of the supervisor. 4 18. Beni,aftercompletingherMBA,tookupajobwithamultinationalcompanynamed 'Fortio'. The company was paying good salary and perks to its employees. The wageswerewithinthepayingcapacityofthecompanythatprovidedtheemployees a reasonable standard of living. The company also had a good work-culture and the behaviour of superiors was very good towards their subordinates. Beni was veryhappyinthisorganisation,butduetolongworkinghoursshedidnothavetime to cook her meal. She had to depend upon outside food, which was deteriorating herhealth. She observed that this problem was faced by many of her colleagues, not only in hercompanybutalsoinmanyothercompanies.Thiswasbecauseofincreaseinthe number of working women and non-availability of hygienic home-cooked food. She identified this as a great opportunity and decided to give up her job to supply packaged home-cooked food to office goers at a reasonable price.At the end of thedayshewasalsodistributingtheleft-overfoodinthenearbynight-shelters. (a) Statethedimensionofbusinessenvironmentbeingdiscussedabove. (b) Statetheprincipleofmanagementbeingfollowedby'Fortio'. (c) Identifyanytwovaluesbeingcommunicatedbythecompanytothesociety in the above case. 4 19. 'Mission Coach Ltd.' is a large and creditworthy company manufacturing coaches for Indian Railways. It now wants to export these coaches to other countries and Download From: http://www.cbseportal.com
  • 328. 312 decidestoinvestinnewhi-techmachines.Sincetheinvestmentislarge,itrequires long-term finance. It decides to raise funds by issuing equity shares. The issue of equitysharesinvolveshugefloatationcost.Tomeettheexpensesoffloatationcost, the company decides to tap the money market. (a) Nameandexplainthemoney-marketinstrumentthecompanycanuseforthe above purpose. (b) What is the duration for which the company can get funds through this instrument? (c) State any other purpose for which this instrument can be used. 4 20. Givethemeaningof'organising'.Statethestepsintheprocessoforganising. 5 21. Anjali had been working with 'Tata Enterprises' for the last ten years. She was famous for her dedication towards the work. When the Manager senior to her retired, all her colleagues thought that now Anjali would be promoted. But to everyone'ssurprisethevacantpostwasfilledbyanoutsider'MissMonika'.Anjali felt demoralised and her performance started declining. She would absent herself often and could not meet her targets. MissMonikawasagoodleaderwhowouldnotonlyinstructhersubordinates,but also guide and inspire them. She noticed Anjali's behaviour and felt that her performance could be improved. She started involvingAnjali in decision-making issuesrelatedtotheorganisationandmadeherapartofahigh-leveljointmanagement committee.Anjaliwasnowpunctualtoofficeandherperformancestartedimproving. (a) IdentifythefunctionofmanagementbeingperformedbyMonika. (b) NametheelementoftheabovefunctionofmanagementwhichhelpedMonika toimproveAnjali'sbehaviour. (c) State any three features of the element identified in (b) above. 5 22. Mohit Gupta is working with 'Yellow Security Services Ltd.' He is also recruiting security guards for the company. The company provide security services in Delhi Download From: http://www.cbseportal.com
  • 329. 313 and Noida at short notice to various companies. The guards are recruited on temporarybasis.Theguardsprovidedbythiscompanyareknownfortheirhonesty andpunctuality.MohitGuptaiswellknowninhisvillageforprovidingemployment tounskilledpeople. (a) Name the source of recruitment used by 'Yellow Security Services Ltd.' (b) Stateanyonedisadvantageofthissourceofrecruitment. (c) Identifytheneedof'SecurityGuards'whichisbeingfulfilledbythecompany as per Maslow's need hierarchy. (d) Identify any two values communicated to the society in the above stated case. 5 23. Explainthefollowingprinciplesofmanagement: 6 (a) Science,notrule-of-thumb. (b) Discipline. 24. 'Abhishek Ltd.' is manufacturing cotton clothes. It has been consistently earning good profits for many years. This year too, it has been able to generate enough profits.Thereisavailabilityofenoughcashinthecompanyandgoodprospectsfor growth in future. It is a well managed organisation and believes in quality, equal employmentopportunitiesandgoodremunerationpractices.Ithasmanyshareholders whoprefertoreceivearegularincomefromtheirinvestments. It has taken a loan of ` 50 lakhs from I.C.I.C.I. Bank and is bound by certain restrictionsonthepaymentofdividendaccordingtothetermsoftheloanagreement. The above discussion about the company leads to various factors which decide how much of the profits should be retained and how much has to be distributed by thecompany. Quoting the lines from the above discussion, identify and explain any four such factors. 6 Download From: http://www.cbseportal.com
  • 330. 314 25. Radhika was a student of Business Studies of Class XII. Her father was a farmer who grew different varities of rice and was well-versed about various aspects of rice cultivation. He was also selected by the government for a pilot-project on rice cultivation.Asaproject-workinBusinessStudiesshedecidedtostudythefeasibility of marketing good quality rice at a reasonable price. Her father suggested her to use internet to gather customers' views and opinions. She found that there was a huge demand for packaged organic rice. She knew that there were no pre- determined specifications in case of rice because of which it would be difficult to achieveuniformityintheoutput.Todifferentiatetheproductfromitscompetitors, shegaveitthenameof'MalabariOrganicRice'andclassifieditintothreedifferent varietiesnamely-Popular,ClassicandSupreme,basedonthequality.Shefeltthat thesenameswouldhelpherinproductdifferentiation. Explainthethreefunctionsofmarketing,withreferencetotheaboveparagraph. 6 Download From: http://www.cbseportal.com
  • 331. 315 Marking Scheme — Business Studies General Instructions 1. The marking scheme carries only suggested value points for the answer.These are only guidelines and do not constitute the complete answer.The students can have their own expression and if the expression is correct, marks be awarded accordingly. 2. Evaluation is to be done as per instructions provided in the marking scheme. 3. If a question has parts, please award marks on the right hand side for each part. Marks awarded for different parts of the question should then be totalled up and encircled in the lefthandmargin. 4. If a question does not have parts, marks be awarded in the left hand margin. 5. If a candidate has attempted a question twice, marks should be given in the question attemptedfirstandthequestionattemptedlatershouldbeignoredwiththecomment'Extra Attempt'. 6. In questions having options, if an examinee attempts both the options, assess the choice attemptedfirst. 7. In a question, if two features/ characteristics/ points are asked but an examinee writes morethantwofeatures/characteristics/points,say,five,ofwhichfirstiscorrect,secondis incorrect, the first two should be assessed and the remaining should be ignored. 8. TheexaminersshouldacquaintthemselveswiththeinstructionsgivenintheGuidelinesfor SpotEvaluationbeforestartingtheactualevaluation. 9. Everyexaminershouldstayuptosufficientlyreasonabletimenormally5-6hourseveryday andevaluate20-25answerbooksandshoulddevoteminimum15-20minutestoevaluate each answer book. 10. Everyexaminershouldacquainthimself/herselfwiththemarkingschemesofallthesets. 11. It is expected that the marking scheme should be followed objectively to ensure quality evaluation. For instance, if an examinee scores 30 marks, then the marks should not be inflated to 33 simply to pass him / her. 12. Marksshouldbeawardedkeepinginviewthetotalmarksofaparticularquestionandnot the total marks of the question paper. For example, if one mark is given to a 3 marks Download From: http://www.cbseportal.com
  • 332. 316 QUESTION PAPER CODE 66/1/1 EXPECTEDANSWERS/VALUE POINTS 1. Q. What is meant by 'efficiency' in management? 1 mark Ans. Efficiencymeansdoingthetaskcorrectlyandwithminimumcost. (or any other correct definition) 2. Q. How does management help in achieving personal objectives? State. 1 mark Ans. Managementhelpsinachievingpersonalobjectivesbymotivatingandleading insuchawaythattheindividualmembersareabletoachievepersonalgoals whilecontributingtotheoverallorganisationalobjectives. 3 Q. Define' planning premises'. 1 mark Ans. Planningpremisesaretheassumptionsmadeaboutthefutureonthebasisof which the plans are drawn. . question even if nothing is correct, then that one mark constitutes 33% of the total marks forthisanswer. 13. The examiner shall also have to certify in the answer book that they have evaluated the answerbookstrictlyinaccordancewiththevaluepointsgiveninthemarkingschemeand correct set of question papers. 14. IncompliancetothejudgementofHon'bleSupremeCourtofIndia,Boardhasdecidedto provide photocopy of the answer book(s) to the candidates who will apply for it along withtherequisitefeefrom2012examination.Therefore,itisallthemoreimportantthatthe evaluation is done strictly as per the value points given in the marking scheme so that the Board could be in a position to defend the evaluation in any forum. 15. Whileevaluatingtheanswerscripts,iftheanswerisfoundtobetotallyincorrect,itshould be marked as (x) and awarded zero (0) marks. 16. A full scale of marks 0-90 has to be used. Please do not hesitate to award full marks if the answerdeservesit.Similarly,whereveranexamineewritesanansweruptothemark,his/ her marks should not be deducted unnecessarily. Download From: http://www.cbseportal.com
  • 333. 317 4. Q. Alliance Ltd. is engaged in manufacturing plastic buckets.The objective of the company is to manufacture 100 buckets a day. To achieve this, the efforts of all departments are co-ordinated and interlinked and authority- responsibility relationship is establishedamongvariousjobpositions.There isclarityonwhoistoreporttowhom. Name the function of management discussed above. 1 mark Ans. Organising. 5. Q. Explain how 'cost of debt' affects the choice of capital structure of a company. 1 mark Ans. 'Cost of debt' affects the choice of capital structure of a company as low interest rates increase a firm's capacity to employ higher debt. 6. Q. 'IndianLogistics'hasitsownwarehousingarrangementsatkeylocations across the country. Its warehousing services help business firms to reduce their overheads, increase efficiency and cut down distribution time. State with reason, whether the working capital requirements of 'Indian Logistics' will be high or low. Ans. Low,asitisaservice'industry,whichusuallydonothavetomaintaininventory. 7. Q. 'Beauty Products Ltd' is a natural and ethical beauty brand famous for offering organic beauty products for men and women. The company uses plant based materials for its products and is the No.1 beauty brand in the country. It not only satisfies its customers but also believes in overall protection of the planet. Identify the marketing management philosophy being followed by 'Beauty ProductsLtd.' 1 mark Ans. Societalmarketingconcept. 8. Q. On Sonika's birthday her mother gave her a pair of gold earrings.After one month Sonika observed that the ear-rings are losing their shine. She checked the mark on the ear-rings and found that it was not a proper ½ mark for indentification + ½ mark for reason = ½ + ½ = 1 mark Download From: http://www.cbseportal.com
  • 334. 318 Hallmark and her mother had been cheated by the shopkeeper. So, she filed a complaint in the district forum which rejected it. Not satisfied by the decisionofdistrictforum,shewasverymuchdisturbedandaftertwomonths decided to appeal further. Can Sonika appeal against the decision of the district forum? Give reason in ½ + ½ support of youranswer. = 1 mark Ans. No, Sonika cannot appeal now as the appeal has to be filed within 30 days of passing of the order by the district forum. 9. Q. What is meant by 'functional structure' of an organisation? State its any two advantages. Ans. Functional structureis an organisational structure formed by grouping of jobsofsimilarnatureunderfunctionsandorganisingthesemajorfunctionsas separate departments like production, finance etc. Advantages :(anytwo) (a) It leads to occupational specialisation since emphasis is placed on specificfunctions. (b) It promotes control and coordination within a department because of similarityinthetasksbeingperformed. (c) Itincreasesmanagerialand-operationalefficiency. (d) It lowers cost as it reduces duplication of effort. (e) Itmakestrainingofemployeeseasierasitfocusesonalimitedrangeof skills. (f) Itensuresthatdifferent functionsgetdueattention. (If an examinee has given only the heading, ½ mark for each heading should be awarded) 10. Q. Explain how the 'product related factors' affect the choice of channels ofdistribution? 1 mark for the meaning + 1 mark for each statement = 1 × 2 = 2 mark = 1 + 2 = 3 marks Download From: http://www.cbseportal.com
  • 335. 319 Ans. Productrelatedfactorswhichaffectthechoiceofchannelsofdistribution Anythree: (i) Nature of Product. . . (ii) PerishabilityofProduct. (iii) Value of Product. (iv) ComplexityofProduct. (If an examinee has not given the headings as above but has given the correct explanation, full credit should be given) 11. Q. Pramod was a supervisor at 'AnnapurnaAata' factory. The factory was producing 200 quintals of aata every day. His job was to make sure that the work goes on smoothly and there was no interruption in production. He was a good leader who would give orders only after consulting his subordinates and work out the policies with the acceptance of the group. Identify and describe the leadership style being adopted by Pramod. Ans. Democraticstyleofleadership. A democratic leader favours decision making by the group. This improves the attitude of the employees 'towards their jobs and the organizationtherebyincreasing-theirmorale. Using this style is of mutual benefit - it allows them (subordinates) to become part of the team and helps leaders (seniors) to make better decisions. 12. Q. 'Financial market plays an important role in the allocation of scarce resources inaneconomybyperformingmanyimportantfunctions.'Explain any three such functions. Ans. Financialmarketplaysanimportantroleintheallocationofscarceresources inaneconomybyperformingthefollowingfunctions:(Anythree) (i) Mobilisationofsavingsandchannelisingthemintomostproductiveuse. ½ mark for the heading + each ½ markfor explanation = 1 × 3 = 3 marks 1 mark for indentification + 1 mark for each point of description = 1 × 2 = 2 marks = 1 + 2 = 3 marks ½ mark for the heading + ½ mark for each explanation Download From: http://www.cbseportal.com
  • 336. 320 (ii) Facilitatingpricedetermination/discovery. (iii) Providingliquiditytofinancialassets. (iv) Reducingthecostoftransactions. (If an examinee has not given the headings as above but has given the correct explanation, full credit be-given) 13. Q. Neeraj, a sales representative of 'Omida Ltd.' has changed seven jobs in the last one year. He is a hard working person but is not able to finalise deals with the customers due to his inadequate vocabulary and omission of needed words. Sometimes he uses wrong words because of which intended meaning is not conveyed.All this created a mis-understanding between him and his clients. (a) Identify the communication barrier discussed above. (b) State the category of this communication barrier. (c) Explain any other communication barrier of the same category. Ans. (a) Badly expressed message. (b) Semantic barrier which arises from problems and obstructions in the process of encoding and decoding of message into words or impressions. . (c) Other barriers in the same category are: (Anyone) (i) Symbolswithdifferentmeanings (ii) Faultytranslations (iii) Unclarifiedassumptions (iv) Technicaljargon (v) Bodylanguageandgesturedecoding 14. Q. What is meant by 'business environment'? State any three points of its importance. = 1 × 3 = 3 marks 1 mark for identifying thebarrier + ½ mark for naming the category ofbarrier + ½ mark for stating the category of thebarrier + (½ mark for naming another barrier + ½ mark for its explanation) = 1+1+1 = 3 marks Download From: http://www.cbseportal.com
  • 337. 321 Ans. Business environment means the sum total of all individuals, institutions and other forces that are outside the control of a business enterprise but that mayaffectits-performance. Importanceofbusinessenvironment: (Anythree) l. Ithelpstoidentifyopportunitiesandgettingthefirstmoveradvantage insteadoflosingthemtothecompetitors. 2. It helps to identify threats on time which serves as an early warning signal. 3. It helps in tapping useful resources so that it can convert them into outputthattheenvironmentdesires. 4. It helps in coping with rapid changes in an increasingly dynamic environment. 5. Ithelpsinassistinginplanningandpolicyformulation. 6. It helps in improving performance by continuously monitoring the environmentandadoptingsuitablepractices. (If an examinee has given only the headings, ½ mark for each heading should be awarded) 15. Q. Explain the following rightsofaconsumerasprovidedunder Consumers Protection Act, 1986 : (a) Right to be informed; and (b) Right to seek redressal. Ans. (a) Righttobeinformed: The consumer has a right to have complete information about the product he intends to buy such as, ingredients, date of manufacture, price,quantityetc. It is because of this reason that the legal framework in India requires the manufacturers to provide such information on the package and label of the product. 1 mark for the meaning + 1 mark for each statement = l × 3 3 marks = 1+3 = 4 marks 2 marks + 2 marks + 4 marks Download From: http://www.cbseportal.com
  • 338. 322 (b) Right to seek redressal : The consumer has a right to get relief in case the product or service fallsshortofhisexpectations. The Consumer ProtectionAct provides relief to customers such as replacementofproduct,removalofdefectintheproduct,compensation foranylossorinjurysufferedbytheconsumer. 16. Q. Samir Gupta started a telecommunication company, 'Donira Ltd.' to manufacture economical mobile phones for the Indian rural market with 15 employees. The company did very well in its initial years. As the product wasgoodandmarketedwell,thedemandofitsproductswentup.Toincrease production the company decided to recruit additional employees. Samir Gupta,whowasearliertakingalldecisionsforthecompanyhadtoselectively dispersetheauthority.Hebelievedthatsubordinatesarecompetent,capable and resourceful and can assume responsibility for effective implementation oftheirdecisions.Thispaidoffandthecompanywasnotonlyabletoincrease its production but also expanded its product range. (a) Identify the concept used by Samir Gupta through which he was able to steer his company to greater heights. (b) Also explain any three points of importance of this concept. Ans. (a) Decentralisation. (b) Importance of decentralisation : (Anythree) (i) Developsinitiativeamongsubordinates. (ii) Developsmanagerialtalentforthefuture. (iii) Quickdecisionmaking. (iv) Relieftotopmanagement. (v) Facilitatesgrowth. (vi) Bettercontrol. (if an examinee has not given the headings as above but has given the correct explanation, full credit should be given) (IFTHECONCEPTISWRONGLYIDENTIFIEDBUTTHEPOINTS.OF IMPORTANCEARE C9RRECT, DUE CREDIT BE GIVEN) ½ mark for indentifying the concept + (½ mark for the heading + ½ mark for its explanation) = 1 × 3 = 3 marks = 1 + 3 = 4 marks Download From: http://www.cbseportal.com
  • 339. 323 17. Q. The workers of 'Vyam Ltd.' are unable to work on new and hi-tech machines imported by the company to fulfill the increased demand. Therefore, the workers are seeking extra guidance from the supervisor. The supervisor is overburdened with the frequent calls of workers. Suggest how the supervisor, by increasing the skills and knowledge of workers, can make them handle their work independently? Also state any three benefits that the workers will derive by the decision of the supervisor. Ans. Trainingofemployees/Vestibuletraining/Onthejobtraining. Benefitstheworkerswillderivebythedecisionofthesupervisor:(Anythree) (a) It helps in promotion and career growth due to improved skills and- knowledge. (b) It helps them to earn more due to improved performance. (c) It reduces accidents as the employees are more efficient to handle machines. (d) It increases the morale of the employees as the employees are more satisfied. (If an examinee has given only the heading, ½ mark for each heading should be awarded) 18. Q. 'Aapka Vidyalaya' believes in holistic development of students and encouragesteambuildingthroughamixofcurricular,co-curricularandsports activities. On its founders day a stage performance had to be put up. A committee of ten prefects was constituted to plan different aspects of the function. They all decided to use recycled paper for decoration. There was a spirit of unity and harmony and all members supported each other.With mutual.trustandbelongingnesstheprogrammewassystematicallyplanned and executed. Kartik, one of the prefects realised that unknowingly the group had applied one of the principles of management while planning and 1 mark + 1 mark for each statement = 1 × 3 = 3 marks = 1 + 3 = 4 marks Download From: http://www.cbseportal.com
  • 340. 324 executing the programme. He was so inspired by the success of the function that he asked his father to apply the same principle in his business. His father replied that he was already using this principle. (a) Identify the principle of management applied for the success of the programme. (b) State any two features of management highlighted in the above para. (c) Identify any two values which 'Aapka Vidyalaya' communicated to the society. Ans. (a) Principle of management -Espirit de corps. (b) Featuresofmanagement: (Anytwo) (i) MANAGEMENT IS PERVASIVE. '.... he asked his father to apply the same principle in his business'. Management is pervasive as it can be applied to all types/ levels of organisations. (ii) MANAGEMENT ISAGROUPACTIVITY 'There was a spirit of unity and harmony and all members supported each other. Management is a group activity because it requires team work and/or coordinationofindividualefforts. (iii) MANAGEMENT IS GOAL ORIENTED. ' .... the programme was systematically planned and executed'. Managementisgoalorientedasitunitestheeffortsofdifferentindividuals towardsachievingorganisationalgoals. (iv) MANAGEMENT IS MULTI DIMENSIONAL ' ... programme was systematically planned and executed'. OR 1 mark for identifying the principle + ½ mark for stating each feature = (½ × 2) = 1 mark Download From: http://www.cbseportal.com
  • 341. 325 'There-was a spirit of unity and harmony and all members supported each other'. Managementismulti-dimensionalasitinvolvesmanagementofwork, people and operations. (v) MANAGEMENT IS INTANGIBLE 'With mutual trust and belongingness,.... '. OR 'There was a spirit of unity and harmony and all members supported each other'. Management is intangible as it cannot be seen but its presence can be feltinthewaytheorganisationfunctions. (IF AN EXAMINEE HAS IDENTIFIED THE FEATURE OF MANAGEMENTCORRECTLY,FULLCREDITBEGIVENFOR EITHER QUOTING THE LINE OR GIVING THE STATEMENT) (c) Valuesbeingcommunicatedtothesociety:(Anytwo) (i) Concernfortheenvironment. (ii) Holisticdevelopmentofchildren. (iii) Team work (or any other-correct value) 19. Q. 'Ganesh Steel Ltd.' is a large and credit-worthy company manufacturing steel for the Indian market. It now wants to cater to the Asian market and decides to invest in new hi-tech machines. Since the investment is large, it requires long-term finance. It decides to raise funds by issuing equity shares. The issue of equity shares involves huge floatation cost. To meet the expenses of floatation cost the company decides to tap the money-market. (a) Name and explain the money-market instrument the company can use for the above purpose. 1 mark for each value = (1 × 2) = 2 marks = 1+1+2 = 4 marks 1 mark for namingthe instrument + 1 mark for its explanation + 1 mark for duration Download From: http://www.cbseportal.com
  • 342. 326 (b) Whatisthedurationforwhichthecompanycangetfundsthroughthis instrument? (c) State any other purpose for which this instrument can be used. Ans. (a) Commercialpaper. Itisaninstrumentissuedbylargeandcreditworthycompaniestoraiseshort termfundsatlowerratesofinterestthanthemarketrates.Itisanunsecured, negotiablepromissorynotewithafixedmaturityperiod. (b) 15 days to one year. (c) It can also be used for seasonal and working capital needs. 20. Q. State any five features of 'Planning'. Ans. Features of planning : (Any five) (i) Itfocusesonachievingorganisationalobjectives. (ii) It is the primary function of management as it lays down the basis for allotherfunctionsofmanagement. (iii) Itispervasiveasitisrequiredinallorganisations,atalllevelsandinall departments. (iv) Itiscontinuousbecauseaplanisframed,implementedandisfollowed by another plan. (v) Itisfuturisticasitinvolveslookingaheadandpreparingforthefuture. (vi) It involves decision making as it involves a choice from among the variousalternativecoursesofaction. (vii) Itisamentalexerciseasitisintellectualactivityofthinkingratherthan doing. (viii) Itprovidesthe basisforcontrollingbyprovidingstandards. (If an examinee has given only the headings, ½ mark for each heading should be awarded) + 1 mark for any other purpose = 1+1+1+1 = 4 marks 1 mark for each statement = l × 5 = 5 marks Download From: http://www.cbseportal.com
  • 343. 327 21. Q. Smita had been working as an assistant manager with 'Johnson Enterprises' for the last ten years. She was very popular amongst her colleagues because of her commitment and dedication towards the work. When the manager senior to her retired, all her colleagues thought that now Smita would be promoted. But to everyone's surprise the vacant post was filled by an outsider, Mrs. Rita. Smita felt demoralised and her performance started declining. She would abstain herself often and could not meet her targets. Mrs. Rita was a good leader, who would not only instruct her subordinates but would also guide and inspire them. She noticed Smita's behaviour and felt that her performance could be improved. She started involving Smita in decision making- issues related to the organisation and made her a part of high level joint-managementcommittee.Smitawasnowpunctualinoffice andherperformancestarted improving. (i) Identify the function of management being performed by Rita. (ii) Name the element of the above function of management which helped Rita to improve Smita's behaviour. (iii) State any three features of the element identified in (ii) above. Ans. (i) Directing (ii) Motivation (iii) Features of motivation : (Anythree) (a) Itisaninternalfeeling. (b) It produces goal directed behaviour. (c) It can be positive or negative. (d) lt is a complex process. (If an examinee has identified the element in part (b) as non financial incentive, full credit is to be given) 1 mark for identifying the function + 1 mark for identifying the element = + 1 mark for each feature = (1 × 3) = 3 marks = 1+1+3 = 5 marks Download From: http://www.cbseportal.com
  • 344. 328 22. Q. Acompanywasmanufacturing'LEDbulbs'whichwereingreatdemand. It was found that the target of producing 300 bulbs a day was not met by the employees. On analysis, it was found that the workers were not at fault. Due to electricity failure and shortage of workers, the company was not able to achieve the set targets and alternative arrangements were needed. To meet the increased demand, the company assessed that approximately 88 additional workers were required out of which 8 would work as heads of different departments and 10 would work as subordinates under each head. The required qualifications and job specifications were also enlisted. It was also decided that necessary relaxation should be given to encourage women, persons from backward and rural areas and persons with special abilities to assume responsible positions in the organisation.All efforts were made to match the ability of the applicants with the nature of work. (a) Identify the functions of management discussed above. (b) State the two steps in the process of each function discussed in the above para. (c) List any two values which the company wants to communicate to the society. Ans. (a) Staffingandcontrolling. (b) Steps in Staffing: (i) Estimatingmanpowerrequirementswhichinvolvesknowinghow many persons are needed and of what type. 'To meet the increased demand. the company assessed that.... subordinates under- each head '. (ii) Recruitmentwhichinvolvessearchingforprospectiveemployees andstimulatingthemtoapplyforjobsintheorganisation. (IFANEXAMINEEHASONLYIDENTIFIED'ESTIMATING MANPOWER REQUIREMENTS'AS A STEP IN THE STAFFINGPROCESS, FULLCREDIT IS TO BE GIVEN) (½ mark for identifying each function ½ × 2 = 1mark) + (½ mark for identifying each step + ½ mark for either quoting the line OR stating the step = ½ x 4 = Download From: http://www.cbseportal.com
  • 345. 329 Steps in controlling : (Any two) (i) Comparison of actual performance with the standards which would reveal the deviation between actual and desired results. 'It was found that the target of producing 300 bulbs a day was not met by the employees '. (ii) Analysing deviations which would help to find out the causes of deviation. On analysis, it was found that the workers were not at fault .... alternative arrangements were needed. (iii) Takingcorrectiveaction,ifrequired. To meet the increased demand. the company assessed that approximately .... as subordinates under each head. (If an examinee has given the steps of the process not discussed above; ½ mark may be deducted) (c) Valueswhichthecompanywantstocommunicatetothesociety:(Anytwo) (i) Usingenvironmentfriendlymethodsofproduction. (ii) Womenempowerment. (iii) Upliftmentofunderprivilegedsectionsofthesociety. (or any other correct value) 23. Q. With the help of a diagram explain 'Functional Foremanship' as a technique of scientific management. Ans. 2 marks) + (1mark for each value = l × 2 = 2 marks) = 1+2+2 = 5 marks 1½ marks for the diagram + 1½ marks for any three points =Workman Instruction CardClerk Route Clerk Time and cost Clerk Speed Boss Gang Boss Repairs Boss Inspector Planning Incharge Production Incharge Factory Manager Disciplinarian Download From: http://www.cbseportal.com
  • 346. 330 Functional Foremanship (Any three points) Functionalforemanshipisatechniquewhichaimstoimprovethequality ofsupervisionatshopfloor. Taylor identified a list of qualities of a good foreman or a supervisor. Since all the qualities could not be found in a single person, Taylor proposedeightspecialists. Inthistechnique,planningisseparatedfromexecution. Itisanextensionoftheprincipleofdivisionofworkandspecilaisation. Taylor suggested four foremen for planning and four foremen for execution. Thefourforemenforplanningwererouteclerk;instructioncardclerk, timeandcostclerkanddisciplinarianandfourforemenforexecution were gang boss-speed boss, repair boss and inspector. Thefourforemenforplanningwoulddraftinstructionsfortheworkers, specifytherouteofproduction,preparetimeandcostsheetandensure disciplinerespectively. Thefourforemenforexecutionwereresponsiblefortimelyandaccurate completionofthejob,keepingmachinesandtoolsreadyforoperation by the workers, ensuring proper working conditions of machines and tools and checking the quality of work. (If an examinee has made an incomplete diagram but has named all foremen in the explanation, one mark may be given for the diagram) 24. Q 'Sarah Ltd.' is a company manufacturing cotton yam. It has been consistently earning good profits for many years. This year too, it has been able to generate enough profits. There is availability of enough cash in the company and good prospects for growth in future. It is a well managed organisation and believes in quality, equal employment opportunities and 1½ × 3 = 4 ½ marks = (1½+4½ = 6 marks Download From: http://www.cbseportal.com
  • 347. 331 goodremunerationpractices.Ithasmanyshareholderswhoprefertoreceive a regular income from their investments. It has taken a loan of ` 40 lakhs from IDBI and is bound by certain restrictions on the payment of dividend according to the terms of loan agreement. The above discussion about the company leads to various factors which decide how much of the profits should be retained and how much has to be distributed by the company. Quoting the lines from the above discussion identify and explain any four such factors. Ans. Factorsaffectingdividenddecision:(Anyfour) (i) Stabilityofearnings 'It has been consistently earning good profits for many years'. Stability of earnings affects dividend decision as a company having stableearningsisinapositiontodeclarehigherdividends. (ii) CashFlowposition 'There is availability of enough cash in the company'. A good cash flow position is necessary for declaration of dividend. (iii) Growth Prospects 'Good prospects for growth in the future'. Ifacompanyhasgoodgrowthopportunities,itpaysout'lessdividend. (iv) Shareholders' preference. 'It has many shareholders who prefer to receive regular income from their investments'. Shareholder's preference is kept in mind by the management before declaringdividends. ½ mark for identifying the factor + ½ mark for quoting the line + ½ mark for explanation = 1½ × 4 = 6 marks Download From: http://www.cbseportal.com
  • 348. 332 (v) Contractualconstraints 'It has taken a loan of Rs. 40 Lakhs from IDBI and.... agreement" Whiletakingdividenddecision,companieskeepinmind,therestrictions imposed by the lenders in the loan agreement. 25. Q 'Hayaram' is a famous chain selling a large variety of products in the Indian market. Their products include chips, biscuits, sweets and squashes. Itchargesacomparativelyhigherpricethanitscompetitorsasitsellsquality products. Besides, it offers regular discounts to its customers and easy credit terms to its retailers. It has five of its own retail shops. It also sells its products through various grocery stores so that the products are made available to customers at the right place, in the right quantity and at the right time. It regularly uses different communication tools to increase its sales. The above para describes the combination of variables used by Hayaram to prepare its market offering. Identify and explain the variables. Ans. ThecombinationofvariablesusedbyHayaramtoprepareitsmarketoffering are: (i) PRODUCT It refers to the combination of various aspects relating to the product or service to be offered for sale. It relates to decisions regarding planning, designing and developing the right type of products and services for the consumers.Itincludesbranding,labellingandpackaging. 'Their products include chips, biscuits, 'sweets and squashes ', (ii) PRICE PriceMixinvolvesdifferentPricingMethods,Pricingstrategies,PricingPolicies and Price Changes. It involves decisions regarding the basic price of the product, discount. allowances. terms of payment etc. 'It charges a comparatively higher price than its competitors '., OR ½ mark for identifying the variable + ½ mark for quoting the line + ½ mark for the explanation of the variable Download From: http://www.cbseportal.com
  • 349. 333 It offers regular discounts to its customers and easy credit terms "to its retailers '. (iii) PLACE/PHYSICALDISTRIBUTION Itincludesactivitiesthatmakefirm'sproductsavailabletothetargetcustomers. Itconsistsofalltheactivitiesinvolvedintransferringownershipandphysical possession of the product to the consumers. It consists of physical distribution i.e. activities involving the movement of products or services from producers to consumers as well as channels of distributioni.e.theroutethroughwhichthegoodsmoveformtheproducerto theconsumer. It has five of its. own retail shops '. OR It a/so sells its products through various grocery stores.. .. right time'. ...' (iv) PROMOTION Itconsistsofalltheactivitiesaimedatpersuadingcustomerstobuytheproduct throughadvertising,personalselling,salespromotionandpublicity. 'It regularly uses different communication tools to increase its sales '. (FULL CREDIT BE GIVEN IF AN EXAMINEE HAS NOT QUOTED THE LINES FROM THE ABOVE PARA BUT HAS GIVEN THE CORRECT EXPLANATION) QUESTION PAPER CODE 66/1 EXPECTEDANSWERS/VALUE POINTS 1. Q. What is meant by 'Business Environment'? 1 mark Ans. Businessenvironmentmeansthesumtotalofallindividuals,institutionsand otherforcesthatareoutsidethecontrolofabusinessenterprisebutthat-may affectitsperformance. = 1½ × 4 = 6 marks Download From: http://www.cbseportal.com
  • 350. 334 2. Q. Explain, how management helps in the development of society. Ans. Managementhelpsinthedevelopmentofsocietyby:(Anytwo) providing goodqualityproductsandservices, creatingemployment adopting newtechnologyand leading the path towards growth and development. 3 Q. Give the meaning of 'Objectives' as a type of plan. 1 mark Ans. Objectives are the ends which the management seeks to achieve within a giventimeperiod. (or any other correct meaning) 4. Q. 'Himalaya Ltd.', is, engaged in manufacturing of washing machines. The target of the organisation is to manufacture 500 washing machines in a day.Thereisanoccupationalspecialisationintheorganisationwhichpromotes efficiency of employees. There is no duplication of efforts in such type of organisation structure. Identify the type of organisation structure described above. 1 mark Ans. FunctionalStructure. 5. Q. How does 'cost of equity' affect the choice of capital structure of a company?Explain. 1 mark Ans. Use of higher debt increases the cost of equity as the financial risk faced by the equity shareholders increases; debt can therefore be used only upto a level. 6. Q. 'Bharat Express' specialises in Courier Services. Its 'wide range of express package and parcel services' help business firms to make sure that the goods are made available to the customers at the right place and at the right time. ½ × 2 = 1 mark ½ mark for indentification + ½ mark Download From: http://www.cbseportal.com
  • 351. 335 State with reason, whether the working capital requirements of 'Bharat Express' will be high or low. Ans. Low, as it is a service industry, which usually do not have to maintain inventory. 7. Q. 'Maruti Vega Ltd.' entered into the market with coloured television and have now introduced products like audio systems, air-conditioners washing machines,etc.Thecompanyisnotonlyofferingtheproductsbutalsohandling complaints and offering after-sales services. Identify the element of marketing-mix discussed here. 1 mark Ans. Product / Product mix. 8. Q. Himanshu purchased a new car from 'Galaxy Motors' for ` 25 lakhs. He was offered free insurance for the first year and three free servicing to be availed after the car had covered 5,000 km, 10,000 km and 15,000 km respectively. When Himanshu took the car for the first free servicing, he was told that the car was not new and first service had already been availed on this car. He felt cheated and filed a complaint in the State Commission. Being not satisfied with the decision of the State Commission, after two months he decided to file an appeal against it. Can Himanshu appeal against the decision of the State Commission ? Give reason in support of your answer. Ans. No. Himanshu cannot appeal now as the appeal has to be filed within 30 days of passing of the order by the State Commission. 9. Q. What is meant by 'Formal Organisation' ? State its any two advantages. Ans. Formalorganisationreferstotheorganisationstructurewhichisdesignedby themanagementtoaccomplishitsobjectives. Advantages: (Anytwo) (a) It is easier to fix responsibility since mutual relationships are clearly defined. for reason = ½ + ½ = 1 mark ½ + ½ = 1 mark 1 mark for the meaning + 1 mark for each Download From: http://www.cbseportal.com
  • 352. 336 (b) Itavoidsduplicationofeffortsincethereisnoambiguityintherolethat each member has to play. (c) Itmaintainsunityofcommandthroughanestablishedchainofcommand. (d) It leads to accomplishmentofgoalsbyprovidingaframeworkforthe operations to be performed. (e) It providesstabilitytotheorganisationbecausetherearespecificrules toguidebehaviourofemployees. (If an examinee has given only the headings, ½ mark for each heading should be awarded) 10. Q. How do the 'Company-related factors' affect the choice of channels of distribution?Explain. Ans. Companyrelatedfactorsinclude: (i) Financialstrengthofthecompany: If the financial strength of the company is good, it would prefer shorter channels. (ii) Degreeofcontroloverchannelmembers: If company's management wants greater control over channel members, shorter channels may be used. (If an examinee has not given the headings as above but has given the correct explanation, full credit should be given) 11. Q. 'A.S. Ltd.' is a large company engaged in assembly of air-conditioners. Recently the company had conducted the 'Time' and 'Motion' study and concluded that on an average a worker can assemble ten air-conditioners in a day. The target volume of the company in a day is assembling of 1,000 units of air-conditioners. The company is providing attractive allowances to reduce labour turnover and absenteeism.All the workers are happy. Even then the assembly of air-conditioners per day is 800 units only. To find out statement = 1 × 2 = 2 mark = 1 + 2 = 3 marks ½ mark for the heading + 1 mark for each explanation = 1½ × 2 = 3 marks Download From: http://www.cbseportal.com
  • 353. 337 the reason the company compared actual performance of each worker and observed through C.C.T.V. that some of the workers were busy in gossiping. (a) Identify the function of management discussed above. (b) State those steps in the process of the function identified which are discussed in the above paragraph. Ans. (a) Controlling. (b) Steps discussed in the above paragraph are : (i) Settingperformancestandards 'Recently the company had conducted the 'Time' .... can assemble ten air-conditioners in a day'. OR 'The target volume of the company in a day is assembling of 1,000 units of air-conditioners'. Settingperformancestandards whicharethecriteriaagainstwhichtheactual performance would be measured. (ii) Measurementofactualperformance 'Even then the assembly of air-conditioners per day is 800 units only'. Measurement of actual performance with the standards in an objective and reliablemanner. (iii) Comparingactualperformancewiththestandards ' ... the company compared actual performance of each worker' Comparingactualperformancewiththestandardstofindoutthedeviation,if any . (iv) Analysingdeviations observed through C.C.T.V. that some of the workers were busy in gossiping. 1 mark for indentification + ½ mark for stating each step = ½ × 4 = 2 marks = 1 + 2 = 3 marks Download From: http://www.cbseportal.com
  • 354. 338 Analysingdeviations fortheircauses. (If an examinee has given the steps of the process not discussed above, ½ mark may be deducted) (FULL CREDIT BE GIVEN FOR QUOTING THE LINE OR GIVINGTHE STATEMENT) 12. Q. 'The Stock Exchange performs many vital functions in today's commercial world.' Explain any three such functions. Ans. VitalfunctionsperformedbytheStockExchangeintoday'scommercialworld are: (Any three) (i) Providesliquidityandmarketabilitytoexistingsecurities. (ii) Helpsindeterminingthepriceofsecurities. (iii) Ensuressafetyoftransactions. (iv) Contributestoeconomicgrowth. (v) Helpsinspreadingequitycult. (vi) Provides scope for speculation. (if an examinee has not given the headings as above but has given the correct explanation, full credit should be given) 13. Q. Jaideep recently joined as the Managing Director of 'Tivori Ltd.', an apparel designing company. He observed that the company had a number ofexperiencedfashiondesignersonitspayroll.Theyregularlyoffereduseful suggestions which were neither appreciated nor rewarded by the company. Instead the company outsourced its services to some renowned fashion designers and paid them a good compensation for their services. Because of this the employees felt disheartened and stopped giving useful suggestions. (a) Identify the communication barrier discussed above. ½ mark for the heading + ½ mark for each explanation = 1 × 3 = 3 marks 1 mark for identifying thebarrier + ½ mark for naming the category ofbarrier + ½ mark for stating the category Download From: http://www.cbseportal.com
  • 355. 339 (b) State the category of this communication barrier. (c) Explain any other communication barrier of the same category. Ans. (a) Organisationalpolicy (b) Organisational barrier which arises from organisational structure, authorityrelationships,rulesandregulationsetc. (c) Other communication barriers of the same category are: (Any one) (i) Rulesandregulations (ii) Status (iii) Complexityinorganisationalstructure. (iv) Organisationalfacilities. (If an examinee has not given the headings, no marks should be deducted) 14. Q. What is meant by 'Management' ? State any three objectives of management. Ans. Managementistheprocessofgettingthingsdonewiththeaimofachieving goalseffectivelyandefficiently. (Or any other correct meaning) Objectivesofmanagement: (i) Organisationalobjectiveswhichincludesurvival,profitandgrowth. (ii) Socialobjectives whichinvolvecreationofbenefitforthesociety. (iii) Personal objectives which aim to satisfy the needs of the employees working.intheorganisation. (If an examinee has given only the heading, ½ mark for each heading should be awarded) of the barrier + (½ mark for naming another barrier + ½ mark for its explanation) = 1+1+1 = 3 marks 1 mark for the meaning + 1 mark for each statement = l × 3 3 marks = 1+3 = 4 marks Download From: http://www.cbseportal.com
  • 356. 340 15. Q. Explain any four points of importance of 'consumer protection' from the point of view of business. Ans. Importance of 'consumer protection' from the point of view of business : (Anyfour) (i) Long-terminterestsofbusiness. (ii) Business uses society's resources. (iii) SocialResponsibility. (iv) MoralJustification. (v) GovernmentIntervention. (if an examinee has not given the headings as above but has given the correct explanation, full credit should be given) 16. Q. Neeraj Gupta started a company 'YoYo Ltd.' with ten employees, to assemble economical computers for the Indian rural market. The company did very well in its initial years. AB the product was good and marketed well, the demand went up. To increase production the company decided to recruit additional employees. Neeraj Gupta, who was earlier taking all decisions for the company, had to selectively disperse the authority. He believedthatpeoplearecompetent,capableandresourcefulandcanassume responsibility for effective implementation of their decisions. This paid off and the company was not only able to increase its production but also expanded its product range with different features. (a) Identify the concept used by Neeraj Gupta through which he was able to steer his company to greater heights. (b) Also explain any three points of importance of this concept. Ans. (a) Decentralisation. (b) Importance of decentralization : (Anythree) (i) Developsinitiativeamongsubordinates. (ii) Developsmanagerialtalentforthefuture. ½ mark for the heading + ½ mark for each explanation = l × 4 = 4 marks 1 mark for indentifying the concept + (½ mark Download From: http://www.cbseportal.com
  • 357. 341 (iii) Quickdecisionmaking. (iv) Relieftotopmanagement. (v) Facilitatesgrowth. (vi) Bettercontrol. (if an examinee has not given the headings as above but has given the correct explanation, full credit should be given) (IF THE CONCEPT IS WRONGLY IDENTIFIED BUT THE POINTS OF IMPORTANCEARE CORRECT, DUE CREDIT BE GIVEN) 17. Q. The workers of 'Gargya Ltd.' are unable to work on new computerised machines imported by the company to fulfil the increased demand. Therefore, the workers are seeking extra guidance from the supervisor and the supervisor is overburdened with the frequent calls of workers. Suggest how the supervisor, by increasing the skills and knowledge of workers, can make them handle their work independently. Also state any three benefits that the workers will derive by the decision of the supervisor. Ans. Trainingofemployees/Vestibuletraining/Onthejobtraining. Benefitstheworkerswillderivebythedecisionofthesupervisor:(Anythree) (a) It helps in promotion and career growth due to improved skills and knowledge. (b) It helps them to earn more due to improved performance. (c) It reduces accidents as the employees are more efficient to handle machines. (d) It increases the morale of the employees as the employees are more satisfied. (If an examinee has given only the heading, ½ mark for each heading should be awarded) for the heading + ½ mark for its explanation) = 1 × 3 = 3 marks = 1 + 3 = 4 marks 1 mark + 1 mark for each statement = 1 × 3 = 3 marks = 1 + 3 = 4 marks Download From: http://www.cbseportal.com
  • 358. 342 18. Q. Beni, after completing her MBA, took up a job with a multinational company named 'Fortio'. The company was paying good salary and perks to its employees. The wages were within the paying capacity of the company that provided the employees a reasonable standard of living. The company also had a good work-culture and the behaviour of superiors was very good towards their subordinates. Beni was very happy in this organisation, but due to long working hours she did not have time to cook her meals She had to depend upon outside food, which was deteriorating her health. She observed that this problem was faced by many of her colleagues, not only in her company but also in many other companies. This was because of increase in the number of working women and non-availability of hygienic home-cooked food. She identified this as a great opportunity and decided to give up her job to supply packaged home-cooked food to office goers at a reasonable price. At the end of the day she was also distributing the left- over food in the nearby night-shelters. (a) State the dimension of business environment being discussed above. (b) State the principle of management being followed by 'Fortio'. (c) Identify any two values being communicated by the company to the society in the above case. Ans. (a) Social environment which includes social forces like customs and traditions,values,socialtrendsetc. 'This was because of increase in the number of working women and non-availability of hygienic home-cooked food '. (b) Remuneration of employees states that the overall pay and compensation should be fair to both employees and the organisation. 'The company was paying good salary and perks to its employees. The wages were within the paying capacity ...standard of living '. (c) Values being communicated by the company to the society are : (Anytwo) ½ mark for identifying the dimension + ½ mark for either quoting the line OR stating the dimension + ½ mark for identifying the principle + ½ mark for either quoting the line OR stating the principle + 1 mark for each value = Download From: http://www.cbseportal.com
  • 359. 343 (i) Good work culture. (ii) Goodbehaviourinhumaninteraction. (iii) Concern for the employees. (iv) Respect for law. (or any other correct value) 19. Q. 'MissionCoachLtd.'isalargeandcreditworthycompanymanufacturing coaches for Indian Railways. It now wants to export these coaches to other countriesanddecidestoinvestinnewhi-techmachines.Sincetheinvestment is large, it requires long-term finance. It decides to raise funds by issuing equity shares. The issue of equity shares involves huge floatation cost. To meet the expenses of floatation cost, the company decides to tap the money market. (a) Name and explain the money-market instrument the company can use for the above purpose. (b) Whatisthedurationforwhichthecompanycangetfundsthroughthis instrument? (c) State any other purpose for which this instrument can be used. Ans. (a) Commercialpaper. Itisaninstrumentissuedbylargeandcreditworthycompaniestoraiseshort termfundsatlowerratesofinterestthanthemarketrates.Itisanunsecured, negotiablepromissorynotewithafixedmaturityperiod. (b) 15 days to one year. (c) It can also be used for seasonal and working capital needs. 20. Q. Give the meaning of 'organising'. State the steps in the process of organising. Ans. Organisingistheprocessofdefiningandgroupingtheactivitiesoftheenterpriseandestablishing authorityrelationshipsamongthem. (1 × 2) = 2 marks = 1+1+2 = 4 marks 1 mark for namingthe instruinent + 1 mark for its explanation + 1 mark for duration + 1 mark for any other purpose = 1+1+1+1 = 4 marks Download From: http://www.cbseportal.com
  • 360. 344 OR Organisingistheprocessofidentifyingandgroupingtheworktobeperformed, defining and delegating responsibility and authority and establishing relationshipsforthepurposeofaccomplishingobjectives. Steps in the process of organising : (i) Identifying and dividing the work into manageable activities so that duplication can be avoided. (ii) Departmentalisation/departmentationwhenactivitiesofasimilarnature are grouped together. (iii) Assignmentofdutiestojobpositions. (iv) Establishingreportingrelationshipssothateachindividualknowswho he has to take orders from and to whom he is accountable. (If an examinee has given only the headings, ½ mark for each heading should be awarded) 21. Q. Anjali had been working with 'Tata Enterprises' for the last ten years. She was famous for her dedication towards the work. When the Manager senior to her retired, all her colleagues thought that now Anjali would be promoted. But to everyone's surprise the vacant post was filled by an outsider'MissMonika'.Anjalifeltdemoralisedandherperformancestarted declining. She would absent herself often and could not meet her targets. Miss Monika was a good leader who would not only instruct her subordinates,butalsoguideandinspirethem.ShenoticedAnjali'sbehaviour andfeltthatherperformancecouldbeimproved.ShestartedinvolvingAnjali in decision-making issues related to the organisation and made her a part of a high-level joint management committee. Anjali was now punctual to office and her performance started improving. (a) Identify the function of management being performed by Monika. 1 mark for the meaning + 1 mark for each statement = l × 4 = 4 marks = 1 + 4 = 5 marks 1 mark for identifying the function + 1 mark for Download From: http://www.cbseportal.com
  • 361. 345 (b) Name the element of the above function of management which helped Monika to improveAnjali's behaviour. (c) State any three features of the element identified in (b) above. Ans. (a) Directing. (b) Motivation. (c) Features of motivation : (Anythree) (a) itisaninternalfeeling. (b) It produces goal directed behaviour. (c) can be positive or negative. (d) It is a complex process. (If an examinee has identified the element in part (b) as non financial incentive, full credit is to be given) 22. Q. Mohit Gupta is working with 'Yellow Security Services Ltd.' He is also recruiting security guards for the company. The company provides security services in Delhi and Noida at short notice to various companies. The guards are recruited on temporary basis. The guards provided by this company are known for theirhonesty and punctuality. Mohit Gupta is well known in his village for providing employment to unskilled people. (a) Name the source of recruitment used by 'Yellow Security Services Ltd.' (b) State anyone disadvantage of this source of recruitment. (c) Identify the need of 'Security Guards' which is being fulfilled by the company as per Maslow's need hierarchy. (d) Identify any two values communicated to the society in the above stated case. identifying the element = + 1 mark for each feature = (1 × 3) = 3 marks = 1+1+3 = 5 marks 1 mark for namingthe source of recruitment + 1 mark for stating one disadvantage + 1 mark for identifying the need + 1 mark for identifying Download From: http://www.cbseportal.com
  • 362. 346 Ans. (a) External source of recruitment / Labour Contractor. (b) Disadvantagesofexternalsourceofrecruitment: (Anyone) (i) Itmayleadtodissatisfactionamongexistingemployeesasthey may feel that their chances of promotion are reduced. (ii) It is a lengthy process as the vacancies have to be notified and applicationsreceivedbeforeselection. (iii) Itisacostlyprocessasalotofmoneyisspentonadvertisement andprocessingofapplications. (If an examinee has given only the heading, ½ mark for each heading should be awarded) (c) Basicphysiologicalneeds. (d) Valuescommunicatedtothesocietyare: (Anytwo) (i) Creatingemploymentopportunities. (ii) Ethicalbehaviour. (iii) Respect for time. (or any other correct-value) 23. Q. Explain the following principles of management: (a) Science, not rule-of-thumb. (b) Discipline. Ans. (a) Sciencenotruleofthumb It states that there was only onebestmethodtomaximiseefficiency. Thismethodcanbedevelopedthroughscientificstudyandanalysisof each element of a job and should substitute 'Rule of Thumb'. This standard method then should be followed throughout the organisation. each value = 1 × 2 = 2 marks = 1+1+1+2 = 5 marks 1 × 3 = 3 marks + 1 × 3 = Download From: http://www.cbseportal.com
  • 363. 347 (b) Discipline Itistheobediencetoorganizationalrulesandemploymentagreement whicharenecessaryfortheworkingoftheorganization. It requires good superiors at all levels, clear and fair agreement and judiciousapplicationofpenalties. Workers and management both should honour their commitments towards one another without prejudice. 24. Q. 'Abhishek Ltd.' is manufacturing cotton clothes. It has been consistently earning good profits for many years. This year too, it has been able to generate enough profits. There is availability of enough cash in the company and good prospects for growth in future. It is a well managed organisation and believes in quality, equal employment opportunities and good remuneration practices. It has many shareholders who prefer to receive a regular income from their investments. It has taken a loan of ` 50 lakhs from I.C.I.C.I. Bank and is bound by certain restrictions on the payment of dividend according to the terms of the loan agreement. The above discussion about the company leads to various factors which decide how much of the profits should be retained and how much has to be distributed by the company. Quoting the lines from the above discussion, identify and explain any four such factors. Ans. Factorsaffectingdividenddecision:(Anyfour) (i) Stabilityofearnings 'It has been consistently earning good profits for many years '. Stability of earnings affects dividend decision as a company having stable earningsisinapositiontodeclarehigherdividends. 3 marks = 3+3 = 6 marks ½ mark for identifying the factor + Download From: http://www.cbseportal.com
  • 364. 348 (ii) CashFlowposition 'There is availability of enough cash in the company'. A good cash flow position is necessary for declaration of dividend. (iii) Growth Prospects 'Good prospects for growth in the future '. If a company has good growth opportunities, it pays out less dividend. (iv) Shareholders' preference 'It has many shareholders who prefer to receive regular income from their investments'. Shareholder'spreferenceiskeptinmindbythemanagementbeforedeclaring dividends. (v) Contractualconstraints 'It has taken a loan of Rs.50 Lakhs from I.C.I.C.I. and .... agreement ' While taking dividend decision, companies keep in mind the restrictions imposed by the lenders in the loan agreement. 25. Q. Radhika was a student of Business Studies of Class XII. Her father was a farmer who grew different varities of rice and was well-versed about various aspects of rice cultivation. He was also selected by the government for a pilot-project on rice cultivation.As a project-work in Business Studies she decided to study the feasibility of marketing good quality rice at a reasonable price. Her father suggested her to use internet to gather customers' views and opinions. She found that there was a huge demand for packaged organic rice. She knew that there were no pre-determined specifications in case of rice because of which it would be difficult to achieve uniformity in the output. To differentiate the product from its competitors, she gave it the name of 'Malabari Organic Rice' and classified it into three different varieties namely - Popular, Classic and Supreme, based on the quality. She felt that these names would help herin product differentiation. ½ mark for quoting the line + ½ mark for its explanation = 1½ × 4 = 6 mark Download From: http://www.cbseportal.com
  • 365. 349 Explain the three functions of marketing, with reference to the above paragraph. Ans. Functions of marketing, with reference to the above paragraph are: (i) Gatheringandanalysingmarketinformation. ' ... use internet to gather customers' views and opinions.' (ii) StandardisationandGrading/Grading. ' ... no pre-determined specifications in case of rice because of which it would be difficult to achieve uniformity in the output.' OR ' ... classified it into three different varieties namely - Popular, Classic and Supreme, based on the quality', (iii) Branding. 'To differentiate the product from its competitors, she gave it the name of 'Malabari Organic Rice'.' OR She felt that these names would help her in product differentiation. (IF AN EXAMINEE HAS IDENTIFED THE FUNCTIONS CORRECTLYANDHASGIVENTHEEXPLANATIONWITHOUT QUOTINGTHELINESFROMTHEABOVEPARA,FULLCREDIT IS TO BE GIVEN) 1 mark for naming the function + ½ mark for quoting the line + ½ mark for its explanation = 2 × 3 = 6 mark Download From: http://www.cbseportal.com
  • 366. 350 ACCOUNTANCY Time allowed : 3 hours Maximum Marks : 80 General Instructions: (i) This question paper contains three parts A, B and C. (ii) Part A is Compulsory for all. (iii) There are two parts. Part B - Financial Statement Analysis and Part C-Computerized Accounting. Attempt only one Part. (iv) All parts of the questions should be attempted at one place. QUESTION PAPER CODE 67/1/1 PartA (Accounting for Partnership Firms & Companies) 1. In the absence of partnership deed the profits of a firm are divided among the partners : (a) In the ratio of capital (b) Equally (c) In the ratio of time devoted for the firm's business (d) Accordingtothemanagerialabilitiesofthepartners 1 A, B, C and D were partners in a firm sharing profits in the ratio of 4 : 3 : 2 : 1. On 1-1-2015 they admitted E as a new partner for 1/10 share in the profits. E brought ` 10,000 for his share of goodwill premium which was correctly recorded in the books by the accountant. The accountant showed goodwill at ` 1,00,000 in the books. Was the accountant correct in doing so ? Give reason in support of your answer. 1 Download From: http://www.cbseportal.com
  • 367. 351 3. On the retirement of Hari from the firm of 'Hari, Ram and Sharma' the balance sheet showed a debit balance of `12,000 in the profit and loss account. For calculatingtheamountpayabletoHarithisbalancewillbetransferred 1 (a) to the credit of the capital accounts of Hari, Ram and Sharma equally (b) to the debit of the capital accounts of Hari, Ram and Sharma equally (c) to the debit of the capital accounts of Ram and Sharma equally (d) to the credit of the capital accounts of Ram and Sharma equally 4. Kumar,VermaandNareshwerepartnersinafirmsharingprofit&lossintheratio of 3 : 2 : 2. On 23rd January, 2015 Verma died. Verma's share of profit till the date of his death was calculated at ` 2,350. Pass necessary journal entry for the same in the books of the firm. 1 5. Givethemeaningofforfeitureofshares. 6. Joy Ltd. issued 1,00,000 equity shares of `10 each. The amount was payable as follows: On application - ` 3 per share. On allotment - ` 4 per share. On 1st and final call - balance Applications for 95,000 shares were received and shares were allotted to all the applicants.Sonamtowhom500shareswereallottedfailedtopayallotmentmoney andGautampaidhisentireamountdueincludingtheamountdueonfirstandfinal callonthe750sharesallottedtohimalongwithallotment.Theamountreceivedon allotmentwas (a) ` 3,80,000 (b) ` 3,78,000 (c) ` 3,80,250 (d) ` 4,00,250 1 Download From: http://www.cbseportal.com
  • 368. 352 7. State any three purposes other than 'issue of bonus shares' for which securities premiumcanbeutilized. 3 8. On 1-4-2013 Jay and Vijay, entered into partnership for supplying laboratory equipments to government schools situated in remote and backward areas. They contributed capitals of ` 80,000 and ` 50,000 respectively and agreed to share the profits in the ratio of 3 : 2. The partnership deed provided that interest on capital shall be allowed at 9% per annum. During the year the firm earned a profit of ` 7,800. Showingyourcalculationsclearly,prepare'ProfitandLossAppropriationAccount' of Jay and Vijay for the year ended 31-3-2014. 3 9. 'TractorsIndiaLtd.'isregisteredwithanauthorizedcapitalof ` 10,00,000divided into 1,00,000 equity shares of ` 10 each. The company issued 50,000 equity shares at a premium of ` 5 per share. ` 2 per share were payable with application, ` 8 per share including premium on allotment and the balance amount on first and finalcall.Theissuewasfullysubscribedandalltheamountduewasreceivedexcept the first and fmal call money on 500 shares allotted to Balaram. Present the 'Share Capital' in the Balance Sheet of 'Tractors India Ltd.' as per Schedule VI Part I of the CompaniesAct, 1956.Also prepare Notes toAccounts for the same. 3 10. 'SangamWoollensLtd.'!Ludhiana,arethemanufacturersandexportersofwoollen garments. The company decided to distribute free of cost woollen garments to 10 villagesofLahaulandSpitiDistrictofHimachalPradesh.Thecompanyalsodecided to employ 50 young persons from these villages in its newly established factory. The company issued 40,000 equity shares of ` 10 each and 1,000 9% debentures of ` 100 each to the vendors for the purchase of machinery of ` 5,00,000. Pass necessary Journal Entries.Also identify anyone value that the company wants to communicatetothe society. 3 Download From: http://www.cbseportal.com
  • 369. 353 11. Dev,SwatiandSanskarwerepartnersinafirmsharingprofitsintheratioof2:2:1. On 31-3-2014 their Balance Sheet was as follows: Liabilities Amount Assets Amount ` ` Trade Payables 17,000 Building 1,04,000 BankLoan 13,000 Inventory 16,000 Capitals: TradeReceivables 23,000 Dev 77,000 Cash 40,000 Swati 87,000 Profit & LossA/c. 57,000 Sanskar 46,000 2,10,000 2,40,000 2,40,000 On30th June,2014Devdied.AccordingtopartnershipagreementDevwasentitled to interest on capital at 12% per annum. His share of profit till the date of his death was to be calculated on the basis of the average profits of last four years. The profits of the last four years were : 4 Years Profit ` 2010-2011 2,04,000 2011-2012 1,80,000 2012-2013 90,000 2013-2014 (Loss) 57,000 On 1-4-2014, Dev withdrew ` 15,000 to pay for his medical bills. Prepare Dev's account to be presented to his executors. Download From: http://www.cbseportal.com
  • 370. 354 12. Kumar,GuptaandKavitawerepartnersinafirmsharingprofitsandlossesequally. Thefirmwasengagedinthestorageanddistributionofcannedjuiceand'itsgodowns werelocatedatthreedifferentplacesintheCity.Eachgodownwasbeingmanaged individuallybyKumar,GuptaandKavita.Becauseofincreaseinbusinessactivities at the godown managed by Gupta, he had to devote more time. Gupta demanded that his share in the profits of the firm be increased, to which Kumar and Kavita agreed. The new profit sharing ratio was agreed to be 1 : 2 : 1. For this purpose the goodwillofthefirmwasvaluedattwoyearspurchaseoftheaverageprofitsoflast fiveyears.Theprofitsofthelastfive yearswere asfollows: Years Profit ` I 4,00,000 II 4,80,000 III 7,33,000 IV (Loss) 33,000 V 2,20,000 4 You are required to : (i) Calculatethegoodwillofthefirm. (ii) PassnecessaryJournalEntryforthetreatmentofgoodwillonchangeinprofit sharing ratio of Kumar, Gupta and Kavita. 13. On 1-4-2010 Sahil and Charu entered into partnership for sharing profits in the ratio of 4 : 3. They admitted Tanu as a new partner on 1-4-2012 for 5 1 th share which she acquired equally from Sahil and Charu. Sahil, Charu and Tanu earned profits at a higher rate than the normal rate of return for the year ended 31-3-2013. Therefore, they decided to expand their business. To meet the requirements of additional capital they admitted Puneet as a new partner on 1-4-2013 for 7 1 th share in profits which he acquired from Sahil and Charu in 7 : 3 ratio. Download From: http://www.cbseportal.com
  • 371. 355 Calculate: (i) New profit sharing ratio of Sahil, Charu and Tanu for the year 2012-13. 6 (ii) New profit sharing ratio of Sahil, Charu, Tanu and Puneet on Puneet's admission. 14. Bharat Ltd. had an authorized capital of ` 20,00,000 divided into 2,00,000 equity shares of ` 10 each. The company issued 1,00,000 shares and the dividend paid per share was `2 for the year ended31-3-2008.Themanagementofthecompanydecidedtoexportitsproductstotheneighbouring countries Nepal, Bhutan, Sri Lanka and Bangladesh. To meet the requirement of additional funds the financial manager of the company put up the following three alternatives before its Board of Directors:. (i) Issue 54,000 equity shares. (ii) ObtainaloanfromImportandExportBankofIndia.Theloanwasavailable at 12% per annum interest. (iii) To issue 9% Debentures at a discount of 10%. After comparing the available alternatives the company decided on 1-4-2008 to issue 6,000 9% debenturesof `100eachatadiscountof10%.Thesedebentureswereredeemableinfourinstalments starting from the. end of third year. The amount of debentures to be redeemed at the end of third, fourth,fifthandsixthyearwasasfollows: Years Profit ` III 1,00,000 IV 1,00,000 6 V 2,00,000 VI 2,00,000 Prepare 9% DebenturesAccount for the years 2008-09 to 2013-14. Download From: http://www.cbseportal.com
  • 372. 356 15. Bora,SinghandIbrahimwerepartnersinafirmsharingprofitsintheratioof5:3:1. On 2-3-2015 their firm was dissolved. The assets were realized and the liabilities werepaidoff.GivenbelowaretheRealisationAccount,Partners'CapitalAccounts andBankAccountofthefirm.Theaccountantofthefirmleftafewamountsunposted in these accounts. You are required to complete these accounts by posting the correctamounts. Dr. Realisation Account Cr. Particulars Amount Particulars Amount ` ` To Stock 10,000 By Provision for bad debts 5,000 To Debtors 25,000 By Sundry Creditors 16,600 ToPlantandMachinery 40,000 ByBillsPayable 3,400 ToBank: ByMortgageLoan 15,000 SundryCreditors 16,000 By Bank - assets realized : BillsPayable 3,400 Stock 6,700 MortgageLoan 15,000 34,400 Debtors 12,500 ToBank(Outstanding 400 Plant&Machinery 36,000 55,200 repairs) To Bank (Exp.), 620 By Bank-unrecorded assets realized 6,220 By _________ _____ 1,10,420 1,10,420 6 Dr. CapitalAccounts Cr. Particulars Bora Singh Ibrahim Particulars Bora Singh Ibrahim ` ` ` ` ` ` ---- ---- ---- ---- By Bal. b/d 22,000 18,000 10,000 ---- ---- ---- ---- By General 2,500 1,500 500 Reserve 24,500 19,500 10,500 24,500 19,500 10,500 Download From: http://www.cbseportal.com
  • 373. 357 Dr. Bank Account Cr. Particulars Amount Particulars Amount ` ` To Bal. b/d 19,500 ByRealisation(liabilities) 34,400 ToRealisation ByRealisation(unrecorded 400 (assetsrealized) 55,200 liabilities) ____________ ______ By _________ _______ By _________ _______ 80,920 80,920 16. Alfa Ltd. invited applications for issuing 75,000 equity shares of `10 each. The amountwaspayableasfollows: On application and allotment - ` 4 per share. On first call - `3 per share On second and fmal call - balance. Applications for 1,00,000 shares were received. Shares were allotted to all the applicants on pro-rata basis and excess money received with applications was transferred towards sums due on first call. Vibha who was allotted 750 shares failed to pay the first call. Her shares were immediately forfeited.Afterwards the secondcallwasmade.Theamountdueonsecondcallwasalsoreceivedexcepton 1000 shares, applied by Monika. Her shares were also forfeited.All the forfeited shares were re-issued to Mohit for ` 9,000 as fully paid up. Pass necessary journal entries in the books ofAlfa Ltd. for the above transactions. 8 OR Jeevan Dhara Ltd. invited applications for issuing 1,20,000 equity shares of `10 each at a premium of ` 2 per share. The amount was payable as follows: On application - ` 2 per share. Onallotment-` 5 pershare (including premium) Onfirstandfinalcall-balance. Download From: http://www.cbseportal.com
  • 374. 358 Applications for 1,50,000 shares were received. Shares were allotted to all the applicants on pro-rata basis. Excess money received on applications was adjusted towards sums due on allotment.All calls were made. Manu who had applied for 3,000 shares failed to pay the amount due on allotment and first and final call. Madhur who was allotted 2,400 shares failed to pay the first and final call. Shares of both Manu and Madhur were forfeited. The forfeited shares were re-issued at `9 per share as fully paid up. Pass necessary journal entries for the above transactions in the books of Jeevan Dhara Ltd. 17. Charu and Harsha were partners in a firm sharing profits in the ratio of 3 : 2. On 1-4-2014 their Balance Sheet was as follows: 8 Balance Sheet of Charu and Harsha as on 1- 4-2014 Liabilities Amount Assets Amount ` ` Creditors 17,000 Cash 6,000 GeneralReserve 4,000 Debtors 15,000 WorkmenCompensation 9,000 Investments 20,000 Fund InvestmentFluctuation 11,000 Plant 14,000 Fund Provision for bad debts 2,000 LandandBuilding 38,000 Capitals: Charu 30,000 Harsha 20,000 50,000 93,000 93,000 Download From: http://www.cbseportal.com
  • 375. 359 On the above dateVaishali was admitted for ¼th share in the profits of the firm on thefollowingterms: (a) Vaishaliwillbring`20,000forhercapitaland`4,000forhershareofgoodwill premium. (b) All debtors were considered good. (c) The market value of investments was ` 15,000. (d) There was a liability of `6,000 for workmen compensation. (e) Capital accounts of Charu and Harsha are to be adjusted on the basis of Vaishali'scapitalbyopeningcurrentaccounts. Prepare RevaluationAccount and Partners' CapitalAccounts. OR Amit,BalanandChanderwerepartnersinafirmsharingprofitsintheproportionof 6 1 and 3 1 , 2 1 respectively. Chander retired on 1-4-2014. The Balance Sheet of the firm on the date of Chander' s retirement was as follows : Balance Sheet of Amit, Balan and Chander as on 1-4-2014 Liabilities Amount Assets Amount ` ` SundryCreditors 12,600 Bank 4,100 ProvidentFund 3,000 Debtors 30,000 GeneralReserve 9,000 Less:Provision 1,000 29,000 Capitals: Stock 25,000 Amit 40,000 Investments 10,000 Balan 36,500 Patents 5,000 Chander 20,000 96,500 Machinery 48,000 1,21,100 1,21,100 Download From: http://www.cbseportal.com
  • 376. 360 It was agreed that : (a) Goodwill will be valued at ` 27,000. (b) Depreciation of 10% was to be provided on machinery. (c) Patents were to be reduced by 20%. (d) Liability on account of Provident Fund was estimated at ` 2,400. (e) Chander took over investments for ` 15,800. (f) Amit and Balan decided to adjust their capitals in proportion of their profit sharingratiobyopeningcurrentaccounts. Prepare Revaluation Account and Partners' Capital Accounts on Chander's retirement. PART-B (Financial StatementsAnalysis) 18. Whichofthefollowingtransactionswillresultinto'FlowofCash'? (a) Deposited ` 10,000 into bank. (b) Withdrew cash from bank ` 14,500. (c) Sale of machinery of the book value of ` 74,000 at a loss of ` 9,000. 1 (d) Converted ` 2,00,000 9% debentures into equity shares. 19. Whilepreparingthe'CashFlowStatement'theaccountantofGulfamLtd.,afinancing company showed 'Dividend received on Investments' as 'InvestingActivity'. Was he correct in doing so ? Give reason. 1 20. Under which major headings the following items will be presented in the Balance Sheet of a company as per Schedule VI Part I of the CompaniesAct, 1956 ? (i) Loans provided repayable on demand (ii) Goodwill Download From: http://www.cbseportal.com
  • 377. 361 (iii) Copyrights (iv) Loose tools (v) Cheques (vi) GeneralReserve (vii) Stock of finished goods and 4 (viii) 9% Debentures repayable after three years 21. From the following information related to Naveen Ltd. calculate (a) Return on Investment and (b) TotalAssets to Debt Ratio. Information : FixedAssets ` 75,00,000; Current Assets ` 40,00,000; 'Current Liabilities`27,00,000;12%Debentures` 80,00,000andNetProfitbeforeInterest, Tax and Dividend ` 14,50,000. 4 22. The motto of Yash Ltd., an advertising company is 'Service With Dignity'. Its managementandworkforceishard-working,honestandmotivated.Thenetprofit of the company doubled during the year ended 31-3-2014. Encouraged by its performancecompanydecidedtogiveonemonthextrasalarytoallitsemployees. FollowingistheComparativeStatementofProfitandLossofthecompanyforthe years ended 31st March 2013 and 2014. 4 Yash Ltd. Comparative Statments of Profit and Loss. Particulars Note 2012·13 2013·14 Absolute % No. ` ` Change Change ` Revenuefromoperations 10,00,000 15,00,000 5,00,000 50 LessEmployeesbenefitexpenses 6,00,000 7,00,000 1,00,000 16.67 Profit before tax 4,00,000 8,00,000 4,00,000 100 Tax Rate 25% 1,00,000 2,00,000 1,00,000 100 Profitaftertax 3,00,000 6,00,000 3,00,000 100 Download From: http://www.cbseportal.com
  • 378. 362 (a) Calculate Net Profit Ratio for the years ending 31st March, 2013 and 2014. (b) IdentifyanytwovalueswhichYashLtd.istryingtopropagate. 23. Following is the Balance Sheet of Thermal Power Ltd. as at 31-3-2014 : ThermalPowerLtd. Balance Sheet as at 31-3-2014 Particulars Note 2013-14 2012-13 No. ` ` I. EQUTYAND LIABILITIES (1) ShareholdersFunds (a) ShareCapital 12,00,000 11,00,000 (b) Reserves and Surplus 1 3,00,000 2,00,000 (2) NonCurrentLiabilities LongTermBorrowings 2,40,000 1,70,000 (3) CurrentLiabilities (a) Trade Payables 1,79,000 2,04,000 (b) ShortTermProvisions 50,000 77,000 Total 19,69,000 17,51,000 II. ASSETS (1) Non-currentAssets (a) FixedAssets (i) Tangible 2 10,70,000 8,50,000 (ii) Intangible 3 40,000 1,12,000 (2) CurrentAssets (a) CurrentInvestments 2,40,000 1,50,000 (b) Inventories 1,29,000 1,21,000 (c) TradeReceivables 1,70,000 1,43,000 (d) Cash and Cash equivalents 3,20,000 3,75,000 Total 19,69,000 17,51,000 Download From: http://www.cbseportal.com
  • 379. 363 Notes to Accounts: S. No. Particulars 2013-14 2012-13 ` ` l. Reserves and Surplus Surplus(balanceinstatementof Profit and Loss) 3,00,000 2,00,000 2. TangibleAssets Machinery 12,70,000 10,00,000 Less:AccumulatedDepreciation (2,00,000) (1,50,000) 3. IntangibleAssets Goodwill 40,000 1,12,000 Additionalinformation: During the year a piece of machinery, costing`24,000onwhichaccumulated depreciation was `16,000, was sold for `6,000. 6 Prepare Cash Flow Statement. PART-C (ComputerizedAccounting) 18. A sequential code refers to a code applied to some document where: (a) Numbers and letters are assigned in consecutive order. (b) Where account heads are assigned to documents. (c) Special names are given to documents. (d) When documents are arranged in sequence of their names. 1 Download From: http://www.cbseportal.com
  • 380. 364 19. 'DBMS' stands for: (a) DividendBasedManagementSystem. (b) Data Based Management Software. (c) Data Base Management System. (d) Divide the Basic Master Software. 1 20. Explaintheinformationprovidedbyasalarybill. 4 21. Whyisitnecessarytohavesafety,securityandconfidentialityfeaturesinaccounting software? Explain any two tools which provide data safety. 4 22. Whatismeantby'Tailoredaccountingsoftware'?Explain. 4 23. Name and explain the financial function which calculates accrued interest for a securitythatpaysperiodicinterest. 6 QUESTION PAPER CODE 67/1 PartA (Accounting for Partnership Firms & Companies) 1. In the absence of Partnership Deed, interest on loan of a partner is allowed: (i) at 8% per annum. (ii) at 6% per annum. (iii) nointerestisallowed. (iv) at 12% per annum. 1 Download From: http://www.cbseportal.com
  • 381. 365 2. Geeta, Sunita andAnita were partners in a firm sharing profits in the ratio of 5 : 3 : 2.On1.1.2015theyadmittedYogitaasanewpartnerfor1/10th shareintheprofits. OnYogita'sadmission,theProfitandLossAccountofthefirmwasshowingadebit balanceof ` 20,000whichwascreditedbytheaccountantofthefirmtothecapital accountsofGeeta,SunitaandAnitaintheirprofitsharingratio.Didtheaccountant give correct treatment? Give reason in support of your answer. 1 3. Onthedeathofapartner,hisshareintheprofitsofthefirmtillthedateofhisdeath is transferred to the : (i) Debit of Profit and LossAccount. (ii) Credit of Profit and LossAccount. (iii) Debit of Profit and Loss SuspenseAccount. (iv) Credit of Profit and Loss SuspenseAccount. 1 4. Anant,GulabandKhushbuwerepartnersinafirmsharingprofitsintheratioof5: 3 : 2. From 1.4.2014, they decided to share the profits equally. For this purpose the goodwill of the firm was valued at ` 2,40,000. Pass necessary journal entry for the treatment of goodwill on change in the profit sharingratioofAnant,GulabandKhushbu. 1 5. Givethemeaningofforfeitureofshares. 1 6. Nirman Ltd. issued 50,000 equity shares of `10 each. The amount was payable asfollows: On application - ` 3 per share On allotment - ` 2 per share On first and final call ----The balance Download From: http://www.cbseportal.com
  • 382. 366 Applications for 45,000 shares were received and shares were allotted to all the applicants. Pooja, to whom 500 shares were allotted, paid her entire share money at the time of allotment, whereas Kundan did not pay the first and final call on his 300 shares. The amount received at the time of makingfirstandfinalcallwas: (i) ` 2,25,000 (ii) ` 2,20,000 (iii) ` 2,21,000 (iv) ` 2,19,500 1 7. Guru Ltd. invited applications for issuing 5,00,000 equity shares of ` 10 each at a premiumof ` 5 per share. Because of favourable market conditions the issue was over-subscribed and applications for 15,00,000 shares were received. Suggest the alternatives available to the Board of Directors for the allotment of shares. 3 8. On 1.4.2013, Brij and Nandan entered into partnership to construct toilets in government girls schools in the remote areas of Uttarakhand. They contributed capitals of ` 10,00,000 and` 15,00,000 respectively.Their profit sharing ratio was 2 : 3 and interest allowed on capital as provided in the Partnership Deed was 12% perannum.Duringtheyearended31.3.2014,thefirmearnedaprofitof` 2,00,000. Prepare Profit and LossAppropriationAccount of Brij and Nandan for the year ended 31.3.2014. 3 9. 'Suvidha Ltd.' is registered with an authorised capital of `10,00,00,000 divided into 10,00,000 equity shares of `100 each. The company issued 1,00,000 shares forpublicsubscription.Ashareholderholding100shares,failedtopaythefinalcall of `20 per share. His shares were forfeited. The forfeited shares were re-issued at `90 per share as fully paid up. Present the 'Share Capital' in the Balance Sheet of the company as per Schedule VI Part I of the CompaniesAct, 1956.Also prepare 'Notes toAccounts'. 3 Download From: http://www.cbseportal.com
  • 383. 367 10. 'Good Blankets Ltd.' are the manufacturers of woollen blankets. Blankets of the company are exported to many countries. The company decided to distribute blankets free of cost to five villages of Kashmir Valley destroyed by the recent floods. It also decided to employ 100 young persons from these villages in their newlyestablishedfactoryatSolaninHimachalPradesh.Tomeettherequirements of funds for starting its new factory, the company issued 50,000 equity shares of `10 each and 2,000 8% debentures of `100 each to the vendors of machinery purchased for ` 7,00,000. Passnecessaryjournalentriesfortheabovetransactionsinthebooksofthecompany. Alsoidentifyany onevaluewhichthecompanywantstocommunicatetothesociety. 3 11. Arun, Varun and Karan were partners in a firm sharing profits in the ratio of 4 : 3 : 3. On 31.3.2014, their Balance Sheet was as follows: Liabilities Amount Assets Amount ` ` Creditors 17,000 Cash 8,000 BillsPayable 12,000 Debtors 13,000 Karan's Loan 28,000 BillsReceivables 9,000 Capitals: Furniture 27,000 Arun 70,000 Machinery 1,25,000 Varun 68,000 1,38,000 Karan's Capital 13,000 1,95,000 1,95,000 On 30.9.2014, Karan died. The Partnership Deed provided for the following to the executors of the deceased partner: (a) His share in the goodwill of the firm calculated on the basis of three years' purchase of the average profits of the last four years. The profits of the last four years were ` 1,90,000; ` 1,70,000; ` 1,80,000 and ` 1,60,000 respectively. Download From: http://www.cbseportal.com
  • 384. 368 (b) His share in the profits of the firm till the date of his death calculated on the basis of the average profits of the last four years. (c) Interest @ 8% p.a. on the credit balance, if any, in his CapitalAccount. (d) Interest on his loan @ 12% p.a. 4 Prepare Karan's CapitalAccount to be presented to his executors, assuming that his loan and interest on loan were transferred to his CapitalAccount. 12. Prem, Param and Priya were partners in a firm. Their fixed capitals were Prem ` 2,00,000; Param ` 3,00,000 and Priya ` 5,00,000. They were sharing profits in the ratio of their capitals. The firm was engaged in the sale of ready-to-eat food packetsatthreedifferentlocationsinthecity,eachbeingmanagedbyPrem,Param and Priya. The outlet managed by Prem was doing more business than the outlets managed by Param and Priya. Prem requested Param and Priya for a higher share in the profits of the firm which Param and Priya accepted. It was decided that the newprofitsharingratiowillbe2:1:2anditseffectwillbeintroducedretrospectively forthelastfouryears.Theprofitsofthelastfouryearswere` 2,00,000;` 3,50,000; ` 4,75,000 and ` 5,25,000 respectively. Showingyourcalculationsclearly,passanecessaryadjustmententrytogiveeffect to the new agreement between Prem, Param and Priya. 4 13. On 1.1.2008, Uday and Kaushal entered into partnership with fixed capitals of ` 7,00,000 and ` 3,00,000 respectively. They were doing good business and were interested in its expansion but could not do the same because of lack of capital. Therefore,tohavemorecapital,theyadmittedGovindasanewpartneron1.1.2010. Govind brought ` 10,00,000 as capital and the new profit sharing ratio decided was3:2:5.On1.1.2012,anothernewpartnerHariwasadmittedwithacapitalof ` 8,00,000 for 1/10th share in the profits, which he acquired equally from Uday, Kaushal and Govind. On 1.4.2014 Govind died and his share was taken over by UdayandHariequally. Download From: http://www.cbseportal.com
  • 385. 369 Calculate: (i) ThesacrificingratioofUdayandKaushalonGovind'sadmission. (ii) New profit sharing ratio of Uday, Kaushal, Govind and Hari on Hari's admission. (iii) New profit sharing ratio of Uday, Kaushal and Hari on Govind's death. 6 14. 'Ananya Ltd.' had an authorized capital of ` 10,00,00,000 divided into 10,00,000 equity shares of ` 100 each. The company had already issued 2,00,000 shares. The dividend paid per' share for the year ended 31.3.2007 was ` 30. The management decided to export its products to African countries. To meet the requirements of additional funds, the finance manager put up the following three alternate proposals before the Board of Directors : (i) Issue 47,500 equity shares at a premium of ` 100 per share. (ii) Obtain a long-term loan from bank which was available at 12% per annum. (iii) Issue 9% debentures at a discount of 5%. After evaluating these alternatives the company decided to issue 1,00,000, 9% debentures on 1.4.2008. The face value of each debenture was ` 100. These debentureswereredeemableinfourinstalmentsstartingfromtheendofthirdyear, whichwasasfollows: Years Amount ` III 10,00,000 IV 20,00,000 V 30,00,000 VI 40,00,000 6 Prepare 9% debenture account from 1.4.2008 till all the debentures were redeemed. Download From: http://www.cbseportal.com
  • 386. 370 15. Mala, Neela and Kala were partners sharing profits in the ratio of 3 : 2 : 1. On 1.3.2015 their firm was dissolved. The assets were realized and liabilities were paidoff.TheaccountantpreparedRealisationAccount,Partners'CapitalAccounts and CashAccount, but forgot to post few amounts in these accounts. You are required to complete these below given accounts by posting correct amounts. Dr. Realisation Account Cr. Particulars Amount Particulars Amount ` ` To SundryAssets : By Provision for bad 1,000 debts Machinery 10,000 By Sundry Creditors 15,000 Stock 21,000 By Sheela's Loan 13,000 Debtors 20,000 By Repairs and 1,200 RenewalsReserve PrepaidInsurance 400 By Cash -Assets sold: Investments 3,000 54,400 Machinery 8,000 To Mala's CapitalA/c 13,000 Stock 14,000 - Sheela's Loan To Cash - Creditors paid 15,000 Debtors 16,000 38,000 To Cash - Dishonoured bill 5,000 By Mala's Capital - 2,000 paid Investments To Cash - Expenses 800 ............. .. ......... 88,200 88,200 Download From: http://www.cbseportal.com
  • 387. 371 Dr. CapitalAccounts Cr. Particulars Mala Neela Kala Particulars Mala Neela Kala ` ` ` ` ` ` ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... ......... To Cash 12,000 9,000 By Cash 1,000 23,000 15,000 3,000 23,000 15,000 3,000 Dr. Cash Account Cr. Particulars Amount Particulars Amount ` ` To Balance b/d 2,800 ByRealisationA/c 15,000 - Creditors paid ToRealisationA/c 38,000 ByDishonouredbill 5,000 - Sale of assets To Kala's CapitalA/c 1,000 .......... .. ......... By Mala's CapitalA/c 12,000 By Neela's CapitalA/c 9,000 41,800 41,800 6 16. 'BMY Ltd.' invited applications for issuing 1,00,000 equity shares of ` 10 each at a premium of ` 10 per share. The amount was payable as follows: On application - ` 10 per share (including ` 5 premium) On allotment - The balance Theissuewasfullysubscribed.Ashareholderholding300sharespaidthefullshare moneywith"application.Anothershareholderholding200sharesfailedtopaythe allotment money. His shares were forfeited. Later on these shares were re-issued for ` 4,000 as fully paid up. Download From: http://www.cbseportal.com
  • 388. 372 PassnecessaryjournalentriesfortheabovetransactionsinthebooksofBMYLtd. OR 'BlueStarLtd.'wasregisteredwithanauthorizedcapitalof `2,00,000dividedinto 20,000 shares of ` 10 each. 6,000 of these shares were issued to the vendor for building purchased. 8,000 shares were issued to the public and ` 5 per share were calledupasfollows: On application - ` 2 per share On allotment - ` 1 per share On first call - Balance of the called up amount The amounts received on these shares were as follows : On 6,000 shares - Full amount called On 1,250 shares - ` 3 per share On 750 shares - ` 2 per share 8 The directors forfeited 750 shares on which ` 2 per share were received. Pass necessary journal entries for the above transactions in the books of Blue Star Ltd. 17. Om, Ram and Shanti were partners in a firm sharing profits in the ratio of 3 : 2 : 1. On 1stApril, 2014 their Balance Sheet was as follows: Liabilities Amount Assets Amount ` ` CapitalAccounts: LandandBuilding 3,64,000 Om 3,58,000 PlantandMachinery 2,95,000 Ram 3,00,000 Furniture 2,33,000 Shanti 2,62,000 9,20,000 BillsReceivables 38,000 GeneralReserve 48,000 Sundry Debtors 90,000 Creditors 1,60,000 Stock 1,11,000 BillsPayable 90,000 Bank 87,000 12,18,000 12,18,000 Download From: http://www.cbseportal.com
  • 389. 373 OntheabovedateHanumanwasadmittedonthefollowingterms: (i) Hewillbring`1,00,000forhiscapitalandwillget1/10thshareintheprofits. (ii) Hewillbringnecessarycashforhisshareofgoodwillpremium.Thegoodwill of the firm was valued at ` 3,00,000. (iii) A liability of ` 18,000 will be created against bills receivables discounted. (iv) The value of stock and furniture will be reduced by 20% .. (v) Thevalueoflandandbuildingwillbeincreasedby10%. (vi) Capital accounts of the partners will be adjusted on the basis of Hanuman's capitalintheirprfitsharingratiobyopeningcurrentaccounts. Prepare RevaluationAccount and Partners' CapitalAccounts. OR Xavier,YusufandZamanwerepartnersinafirmsharingprofitsintheratioof4:3: 2. On 1.4.2014 their Balance Sheet was as follows: Liabilities Amount Assets Amount ` ` SundryCreditors 41,400 Cash at Bank 33,000 CapitalAccounts: SundryDebtors 30,450 Less:Provisionfor Xavier 1,20,000 Bad Debts 1,050 29,400 Yusuf 90,000 Stock 48,000 Zaman 60,000 2,70,000 PlantandMachinery 51,000 LandandBuilding 1,50,000 3,11,400 3,11,400 Download From: http://www.cbseportal.com
  • 390. 374 Yusufhadbeensufferingfromillhealthandthusgavenoticeofretirementfromthe firm.Anagreementwas,therefore,enteredintoason1.4.2014,thetermsofwhich wereasfollows: (i) That land and building be appreciated by 10%. (ii) The provision for bad debts is no longer necessary. (iii) That stock be appreciated by 20%. (iv) That goodwill of the firm be fixed at ` 54,000.Yusuf's share of the same be adjustedintoXavier'sandZaman'sCapitalAccounts,whoaregoingtoshare future profits in the ratio of 2 : 1. (v) Theentirecapitalofthenewlyconstitutedfirmbereadjustedbybringinginor payingnecessarycashsothatthefuturecapitalsofXavierandZamanwillbe intheirprofitsharingratio. Prepare RevaluationAccount and Partners' CapitalAccounts. 8 PART B (Analysis of Financial Statements) 18. Whichofthefollowingtransactionswillresultintoflowofcash? (i) Cash withdrawn from bank ` 20,000. (ii) Issued ` 20,000,9% debentures for the vendors of machinery. (iii) Received ` 19,000 from debtors. (iv) Deposited cheques of ` 10,000 into bank. 1 19. The accountant of Manav Ltd. while preparing Cash Flow Statement added depreciation provided on fixed assets to net profit for calculating cash flow from operating activities. Was he correct in doing so ? Give reason. 1 Download From: http://www.cbseportal.com
  • 391. 375 20. Under which major headings and sub-headings will the following items be shown in the Balance Sheet of a company as per Schedule VI Part I of the CompaniesAct, 1956 : (i) Net loss as shown by Statement of Profit and Loss. (ii) Capitalredemptionreserve. (iii) Bonds. (iv) `Loans repayable on demand. (v) Unpaiddividend. (vi) Buildings. (vii) Trade marks. (viii) Raw materials. 4 21. The Current Ratio of a company is 2·1 : 1·2. State with reasons wihich of the followingtransactionswillincrease,decreaseornotchangetheratio: (i) Redeemed 9% debentures of `1,00,000 at a premium of 10%. (ii) Received from debtors ` 17,000. (iii) Issued ` 2,00,000 equity shares to the vendors of machinery. (iv) Accepted bills of exchange drawn by the creditors ` 7,000. 4 22. Themottoof'PharmaLtd.',acompanyengagedinthemanufacturingoflow-cost generic medicines, is 'Healthy India'. Its management and employees are hardworking,honestandmotivated.Thenetprofitofthecompanydoubledduring the year ended 31.3.2014. Encouraged by its performance, the company decided to pay bonus to all employees at double the rate than last year. FollowingistheComparativeStatementofProfitandLossofthecompanyforthe years ended 31.3.2013 and 31.3.2014. Download From: http://www.cbseportal.com
  • 392. 376 PharmaLtd. Comparative Statement of Profit and Loss Particulars Note 2012 -13 2013 -14 Absolute % No. ` ` Change ` Change Revenuefrom 20,00,000 30,00,000 10,00,000 50 operations LessEmployees 12,00,000 14,00,000 2,00,000 16·67 benefitexpenses Profit before tax 8,00,000 16,00,000 8,00,000 100 Tax at 25% rate 2,00,000 4,00,000 2,00,000 100 Profitaftertax 6,00,000 12,00,000 6,00,000 100 (i) Calculate Net Profit Ratio for the years ending 31th March, 2013 and 2014. (ii) Identify any two values which 'Pharma Ltd.' is trying to propagate. 4 23. Following is the Balance Sheet of Solar Power Ltd. as at 31.3.2014 : Solar Power Ltd. Balance Sheet Note 31.3.2014 31.3.2013 Particulars No. ` ` I - Equity and Liabilities: 1. Shareholder's Funds: (a) ShareCapital 24,00,000 22,00,000 (b) Reserves and Surplus 1 6,00,000 4,00,000 2. Non-Current Liabilities: Long-TermBorrowings 4,80,000 3,40,000 Download From: http://www.cbseportal.com
  • 393. 377 3. Current Liabilities : (a) Trade Payables 3,58,000 4,08,000 (b) Short-TermProvisions 1,00,000 1,54,000 Total 39,38,000 35,02,000 II -Assets: 1. Non-CurrentAssets: (a) Fixed Assets: (i) Tangible 2 21,40,000 17,00,000 (ii) Intangible 3 80,000 2,24,000 2. Current Assets: (a) CurrentInvestments 4,80,000 3,00,000 (b) Inventories 2,58,000 2,42,000 (c) TradeReceivables 3,40,000 2,86,000 (d) Cash and Cash equivalents 6,40,000 7,50,000 Total 39,38,000 35,02,000 Notes to Accounts S. Particulars As on As on No. 31.3.2014 31.3.2013 ` ` 1. Reserves and Surplus Surplus(balanceinStatementof 6,00,000 4,00,000 Profit and Loss) 2. Tangible Assets 25,40,000 20,00,000 Machinery Less:AccumulatedDepreciation. (4,00,000) (3,00,000) 3. Intangible Assets 80,000 2,24,000 Goodwill Download From: http://www.cbseportal.com
  • 394. 378 Additional Information: During the year a piece of machinery costing ` 48,000 on which accumulated depreciation was ` 32,000 was sold for ` 12,000. Prepare Cash Flow Statement. 6 PART B (ComputerizedAccounting) 18. 'SJ' for sales journal and 'NDRS' for New Delhi railway station are the examplesofwhichofthefollowing? (i) Block codes. (ii) Mnemoniccodes. (iii) Sequentialcodes. (iv) Accountingcodes. 1 19. Thecommonfieldsusedinarelationshipbetweentablesarecalled: (i) Keyfields. (ii) Tablefields. (iii) Mainfields. (iv) Jointfields. 1 20. Statetheelementswhichareconsideredwhilecalculating'deductions'forcurrent payrollperiod. 4 21. What is meant by 'DBMS' ? Explain any two of its advantages. 4 22. Explainanytwoadvantagesofusinggraphs/charts. 4 23. State the steps to be followed to change conditional format. 6 Download From: http://www.cbseportal.com
  • 395. 379 Marking Scheme — Accountancy 67/1/1 General Instructions 1 Markingschemeprovidesgeneralguidelinestoreducesubjectivityinthemarking.The answersgiveninthemarkingschemearesuggestedanswers.Thecontentisthusindicative. If a student has given any other answer which is different from the one given in the marking scheme but conveys the same meaning, such answers should be given full weightage. 2. Evaluation is to be done as per instructions provided in the Marking Scheme. It should not be done according to one's own interpretation or any other consideration-Marking. Schemeshouldbestrictlyadheredtoandreligiouslyfollowed. 3. The Head-Examiner has to go through the first five answer scripts evaluated by each evaluator to ensure that evaluation has been carried out as per the instructions given in theMarkingScheme.Theremaininganswerscriptsmeantforevaluationshallbegiven onlyafterensuringthatthereisnosignificantvariationinthemarkingofindividualevaluators. 4. If a question has parts, please award marks on the right hand side for each part. Marks awarded for different parts of the question should then be totalled up and written in the lefthandmarginandencircled. 5. Ifaquestiondoesnothaveanyparts,marksmustbeawardedinthelefthandmarginand encircled. 6. If a student has attempted an extra question, answer of the question deserving more marks should be retained and other answer scored out. 7. No marks to be deducted for the cumulative effect of an error. It should be penalized onlyonce. S. Deductions up to 25% of the marks must be made if the student has not drawn formats of the Journal and Ledger and has not given the narrations. 9. A full scale of marks I-SO has to be used. Please do not hesitate to award full marks if the answer deserves it. 10. No marks are to be deducted or awarded for writing / not writing 'TO and BY' while preparing Journal and Ledger accounts. 11. In theory questions, credit is to be given for the content and not for the format. 12. IncompliancetothejudgmentoftheHon'bleSupremeCourtofIndia,Boardhasdecided toprovidephotocopyoftheanswerbook(s)tothecandidateswhowillapplyforitalong withtherequisitefeefrom2012examination.Therefore,itisallthemoreimportantthat theevaluationisdonestrictlyasperthevaluepointsgiveninthemarkingschemesothat the Board could be in a position to defend the evaluation at any forum. Download From: http://www.cbseportal.com
  • 396. 380 13. In the light of the above judgment instructions have been incorporated in the guidelines for Centre Superintendents to ensure that the answer books of all the appeared candidates have beensenttotheBoard'sofficeandintheGuidelinesforspotevaluationfortheExaminersthat they have to evaluate the answer books strictly in accordance with the value points given in themarkingschemeandthecorrectsetofthequestionpaper.Theexaminer(s)shallalsohave tocertifythis. 14. EveryExaminershouldstayuptosufficientlyreasonabletimenormally5-6hourseveryday and evaluate 20-25 answer books. 15. Inthepastithasbeenobservedthatthefollowingarethecommontypesoferrorscommitted bytheExaminers-, Leaving answer or part thereof unassessed in an answer script Giving more marks for an answer than assigned to it or deviation from the marking scheme. Wrongtransferenceofmarksfromtheinsidepagesoftheanswerbooktothetitlepage. Wrongquestionwisetotalingonthetitlepage. Wrong totaling of marks of the two columns on the title page Wronggrandtotal Marksinwordsandfiguresnottallying Wrong transference to marks from the answer book to award list Answers marked as correct but marks not awarded. Half or a part of answer marked correct and the rest as wrong but no marks awarded. 16. Whileevaluatingtheanswerscriptsiftheanswerisfoundtobetotallyincorrect,itshouldbe marked as (X) and awarded zero(0) Marks. 17. Anyunassessedportion,non-carryingoverofmarkstothetitlepageortotalingerrordetected bythecandidateshalldamagetheprestigeofallthepersonnelengagedintheevaluationwork as also of the Board. Hence in order to uphold the prestige of all concerned, It is again reiteratedthattheinstructionsbefollowedmeticulouslyandjudiciously. I8. The Examiners should acquaint themselves with the guidelines given in the Guidelines for SpotEvaluationbeforestartingtheactualevaluation. 19. EveryExaminershallalsoensurethatalltheanswersareevaluated,markscarriedovertothe title page, correctly totaled and written in figures and words. Download From: http://www.cbseportal.com
  • 397. 381 QUESTION PAPER CODE 67/1/1 EXPECTEDANSWERS/VALUE POINTS PARTA 1. In the absence of ...................... partners. 1 Mark Ans. (b) Equally 2. A,B,C and D ............................ of your answer. Ans. No, the accountant was not correct. Reason: Since the new partner brought his share of goodwill in cash it cannot be (½+½) shown in the books. =1 Mark 3. On the retirement ........................... Sharma equally. 1 Mark Ans. (b) to the debit of the capital accounts of Hari, Ram and Sharma equally. 4. Kumar, Verma and Naresh ................... of the firm. Ans. Journal Date Particulars LF Dr (`) Cr (`) 2015 Profit & Loss SuspenseA/c Dr. 2,250 Jan 23 To Verma's CapitalA/c (Verma's share of profit 2,350 1 Mark upto 23rd June 2015) 5. Give the .......................................... forfeiture of share. 1 Mark Ans. Forfeitureofsharesmeanscancellationofsharesallotedandtreatingactuallyreceived amountasforfeited. [or any other suitable meaning] 6. Joy Ltd. Issued ............................... allotment was. 1 Mark Ans. (C) ` 3,80,250 Download From: http://www.cbseportal.com
  • 398. 382 7. State the three purposes ........................... can be utilised Ans. The amount received as securities premium can be used other than 'issue of bonus shares'forthefollowingpurposes: (Any three) Inwritingoffthepreliminaryexpensesofthecompany. For writing off the expenses, commission or discount allowed on issue of shares or debentures of the company. Forprovidingthepremiumpayableonredemptionofredeemablepreference shares or debentures of the company. 1 Mark each For buy back of its own shares. = 3 Marks 8. On 1-4-2013 Jay and Vijay ......................... year ended 31-3-2014. Ans. In the books of Jay and Vijay Profit & LossAppropriationA/c Dr. For the year ended 31st March 2014 Cr. Particulars Amount (`) Particulars Amount (`) To Interest on Capital : ByProfitfor 7,800 Jay's CapitalA/c theyear/ 7800x8/13=4800 7,800 ByP&LA/c Vijay'sCapitalA/c 7800x5/13=3000 7,800 7,800 Workingnotes: 3 Marks CalculationofInterestonCapital: ` a) Interest on Jay's Capital: 7,200 b) InterestonVijay'sCapital: 4,500 Total: 11,700 The available profit is ` 7,800 since the profit is less than interest, the available profit will be distributed in the ratio of interest i.e. 7,200:4,500 or 8:5. ½ ½ 1 ⎪ ⎭ ⎪ ⎬ ⎫ 1 Download From: http://www.cbseportal.com
  • 399. 383 9. Tractors India Ltd ............................... for the same. Ans. Balance Sheet of Tractors India Ltd. As at .......................... (As per revised schedule VI) Particulars Note No. Amount ` Amount` Current year previous year EQUITY&LIABILITIES IShareholder'sfunds: 1 a) Share Capital (1) 4,97,500 Notes to Accounts Particulars ` (1) ShareCapital AuthorisedCapital: 1,00,000 equity shares of ` 10 each 10,00,000 1 Issued Capital 50,000 equity shares of ` 10 each 5,00,000 ½ Subscribed and fully paid 49,500 shares of ` 10 each ` 4,95,000 Subscribed but not fully paid 500 shres of ` 10 each 5,000 Less: Calls in arrear (500 x ` 5) (2,500) ` 2,500 4,97,500 ½ = 3 Marks Download From: http://www.cbseportal.com
  • 400. 384 10. SangamWoollens Ltd ................................... to the society. Ans. Books of Sangam Woollens Ltd. Journal Date Particulars L.F. Dr (`) Cr (`) (i) MachineryA/c Dr. 5,00,000 5,00,000 1 To VendorsA/c (Forpurchaseofmachinery) (ii) VendorsA/c Dr. 5,00,000 To Equity Share CapitalA/c 4,00,000 1 To 9% DebenturesA/c 1,00,000 (For issue of equity shares and debentures at par) OR VendorsA/c Dr. 4,00,000 To Equity Share CapitalA/c 4,00,000 ½ (For issue of equity shares) VendorsA/c Dr. 1,00,000 To 9% DebenturesA/c 1,00,000 ½ (For issue debentures at par) b) Values which the company wants to communicate to the society: (Anyone) Fulfilling/Dischargingofsocialresponsibility. 1 = Generationofemploymentopportunitiesinruralareas 3 Marks (OR any other suitable value.) Download From: http://www.cbseportal.com
  • 401. 385 11. Dev, Swati and Sanskar .............................. presented to his executor. Ans. Dev's Capital A/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) ToDrawingsA/c ½ 15,000 By Balance b/d 77,000 ½ To Profit LossA/c ½ 22,800 ByP/LSuspenseA/c 10,425 1 To Dev's ExecutorA/c ½ 51,935 By Interest on Capital 2,310 1 89,735 89,735 Working notes: i. Calculation of Interest on Capital: 77,000 x 12/100 x 3/12 = ` 2,310 ii. CalculationofShareofProfit: Average Profit = ` (2,04,000 + 1,80,000 + 90,000 - 57,000) /4 = ` 1,04,250 iii. Dev's share of profit = 1,04,250 x 2/5 x 3/12 = ` 10,425 iv. Share in p/LA/c (Dr Balance of P&L= 57,000 x 2/5 = ` 22,800 = 4 Marks NO MARKS FOR WORKING NOTES 12. Kumar, Gupta and Kavita ..................................... Journal entry. Ans. i. Calculation of Goodwill of the firm Average Profit = ` (4,00,000 + 4,80,000 + 7,33,000 - 33,000 + 2,20,000 ) / 5 2 = ` 3,60,000 Goodwill.of the firm = 2 x 3,60,000 = ` 7,20,000 Download From: http://www.cbseportal.com
  • 402. 386 Journal Date Particulars L.f. Dr. Cr. Amt (`) Amt (`) Gupta's CapitalA/c Dr. 1,20,000 To Kumar's CapitalA/c 60,000 To Kavita's CapitalA/c 60,000 2 (Adjustmentofgoodwillamong partnersonchangeinprofit sharingratio) Old ratio = 1:1:1 New Ratio = 1:2:1 Kumar's Sacrifice = 1/3 - 1/4 = 1/12 = 4 Marks Gupta's Gain = 1/3 - 2/4 = 2/12 Kavita's Sacrifice = 1/3-1/4 = 1/12 Kumar's sacrifice = 7,20,000 x 1/12 = ` 60,000 Gupta's Gain = 7,20,000 x 2/12 = ` 1,20,000 Kavita's Sacrifice = 7,20,000 x 1/12 = ` 60,000 13. On 1-4-2010 Sahil. ........................... admission. Ans. 1. CalculationofNewProfitSharingratioofSahil,CharuandTanu Sahil's old share = 4/7 . Sahil surrender = 1/5 x 1/2 = 1/10 in favour of Tanu Sahil's new share = 4/7 -1/10 = 33/70 1 Charu's old share = 3/7 Charu surrenders = 1/5 x 1/2 = 1/10 in favour of Tanu Charu's new share = 3/7 - 1/10 = 23/70 1 Tanu's share = 1/10 + 1/10 = 2/10 New Profit Sharing ratio among Sahil, Charu and Tanu = 33/70: 23/70: 2/10 or 14/70 3 . = 33:23:14 1 Download From: http://www.cbseportal.com
  • 403. 387 2. Calculation of New Profit Sharing Ratio of Sahil, Charu, Tanu and Puneet Sahil's old share = 33/70 Sahil surrenders in favour of Puneet = 1/7 x 7 10 = 7/70 So, Sahil's new share = 33/70 - 7/70 = 26/70 ½ Charu's old share = 23/70 Charu surrenders in favour of Puneet = 1/7 x 3/10 = 3/70 Charu's new share = 23/70 - 3/70 = 20/70 ½ Tanu's new share = 14/70 ½ Puneet's new share = 1/7 or 10/70 ½ New Profit Sharing ratio among partners = 26/70:20/70:14/70:10/70 3 = = 26:20;14:10 6 Marks = 13:10:7:5 1 14. Bharat Ltd .................................. ....... 9% Debentures A/c. Ans. 9% Debentures A/c Dr. Cr. Date Particulars LF Amount Date Particulars LF Amount (`) (`) 2009 To Balance c/d 6,00,000 2008 By Debentures 5,40,000 Mar31 Apr 1 app & all A/c By Discount on 60,000 2 issse of 6.00.000 debentures A/c 6.00.000 2010 To Balance c/d 6,00,000 2009 By Balance b/d 6,00,000 2 Mar 31 Apr 1 6,00,000 ⎪ ⎭ ⎪ ⎬ ⎫ ⎪ ⎭ ⎪ ⎬ ⎫ Download From: http://www.cbseportal.com
  • 404. 388 2011 To Debenture 1,00,000 2010 By Balance b/d 6,00,000 Mar 31 holders A/c April1 To Balance c/d 5,00,000 6.00.000 6.00.000 2012 To Debenture 1,00,000 2011 By Balance bid 5,00,000 Mar31 Holder A/c Apr 1 To Balance c/d 4,00,000 5,00,000 5,00,000 2 2013 To Debenture 2,00,000 2012 By Balance bid 4,00,000 Mar 31 Holder A/c Apr 1 To Balance c/d 2,00,000 4,00,000 4,00,000 2014 To Debenture 2,00,000 2013 By Balance bid 2,00,000 Mar 31 holders A/c Apr 1 = 6 2,00,000 2,00,000 Marks Note: First two years account is necessary to be correctly prepared and four marks have to be awarded. However, if an examinee has not prepared last four years account, stating/ mentioning that amount of debentures to be redeemed is not given in the question then additional credit of two marks is to be given. Ifanexamineehaspreparedthelastfouryearsaccountcorrectlymentioning any amount then also full credit of two marks is to be given. ⎪ ⎭ ⎪ ⎬ ⎫ Download From: http://www.cbseportal.com
  • 405. 389 15. Bora, Singh and Ibrahim .................................... amounts. Ans. RealisationA/c Dr. Cr. Particulars Amt (`````) Particulars Amt (`````) To Stock 10,000 By Provision for bad debts 5,000 To Debtors 25,000 By Sundry Creditors 16,600 ToPlantandMachinery 40,000 ByBillsPayable 3,400 ToBank: ByMortgageLoan 15,000 Sundrycreditors 16,000 By Bank - assets realised: BillsPayable 3,400 Stock - 6,700 MortgageLoan 15,000 34,400 Debtors - 12,500 ToBank(Outstanding 400 Plant& 36,000 55,200 1 repairs) Machinery- To Bank (Exp.) 620 By Bank - unrecorded assets realised 6220 By loss Transferred to Partners'CapitalA/c: Bora 5,000 Singh 3.000 Ibrahim 1,000 9,000 1,10,420 1,10,420 Dr. Partner's CapitalA/c Cr. Particulars Bora Singh Ibrahim Particulars Bora Singh Ibrahim ````` ````` ````` ````` ````` ````` To Realisation 5,000 3,000 1,000 By Balance 22,000 18,000 10,000 A/c b/d To Bank A/c 19,500 16,500 9,500 By General 2,500 1,500 500 2 Reserve A/c 24,500 19,500 10,500 24,500 19,500 10,500 ⎪ ⎭ ⎪ ⎬ ⎫ 1 1 1 Download From: http://www.cbseportal.com
  • 406. 390 Dr. Bank A/c Cr. Particulars Amt (`) Particulars Amt (`) To Bal. b/d 19,500 ByRealisation(liabilities) 34,400 3 Torealisation 55,200 ByRealisation(unrecorded 400- (assetsrealized) liabilities) ToRealisationA/c ByRealisationA/c 620 (unrecorded assets) 6,220 (Expenses) By Bora's CapitalA/c 19,500 BySingh'sCapitalA/c 16,500 By Ibrahim's CapitalA/c 9,500 45,500 80,920 80,920 = 6 Marks 16. Alfa Ltd. ................................... transactions, Ans. Books of Alfa Ltd. Journal Date Particulars LF Dr.Amt Cr. Amt (`) (`) i. BankA/c Dr. 4,00,000 ToEquityShareApplication.& AllotmentA/c 4,00,000 ½ (Forapplicationmoneyreceivedon 1,00,000 shares) ii. EquityShareApplication& Dr. 4,00,000 AllotmentA/c To Equity Share CapitalA/c 3,00,000 1 To Calls inAdvanceA/c / 1,00,000 Equity Share I CallA/c (Forequityshareallotmentmade) 1 1 1 Download From: http://www.cbseportal.com
  • 407. 391 iii. EquitySharefirstcallA/c Dr. 2,25,000 To Equity Share CapitalA/c 2,25,000 ½ (Forfirstcallmoneydue) iv. BankA/c Dr. 1,23,750 CallsinadvanceA/c Dr. 1,00,000 1 ToEquitysharefirstcallA/c 2,23,750 (Forfirstcallmoneyreceivedexcept on 750 shares) OR BankA/c Dr. 1,23,750 Calls in arrearsA/c Dr. 1,250 CallsinadvanceA/c Dr. 1,00,000 To Equity Share First CallA/c 2,25,000 (Forfirstcallmoneyreceivedexcept on 750 shares and the advance adjusted) v. EquityShareCapitalA/c Dr. 5,250 To Share ForfeitureA/c 4,000 1 ToEquitySharefirstcall/Callsin arrearsA/c 1,250 (For 750 shares forfeited) vi. EquitySharesecondandfinalcallA/c Dr. 2,22,750 To Equity Share CapitalA/c 2,22,750 ½ (For second and final call money due on 74250 shares) Download From: http://www.cbseportal.com
  • 408. 392 vii. BankA/c Dr. 2,20,500 To Equity share second and final call a/c 2,20,500 ½ (Forsecondandfinalcallmoneyreceived except on 750 shares) OR BankA/c Dr. 2,20,500 Calls in arrearsA/c Dr. 2,250 To EquitysharesecondandfinalcallA/c 2,22,750 (Forsecondandfinalcallmoneyreceived except on 750 shares) viii. EquityShareCapitalA/c Dr. 7,500 To Share ForfeitureA/c 5,250 1 To Equity Share second and final call / 2,250 Calls in arrearsA/c (For 750 shares forfeited) ix. BankA/c Dr. 9,000 ShareforfeitureA/c Dr. 6,000 To Equity Share CapitalA/c 15,000 1 (For shares reissued for `9 per share fullypaidup) x. ShareforfeitureA/c Dr. 3,250 1 To capital reserveA/c 3,250 = (For forfeiture balance transferred to 8 Marks capitalreserve) Download From: http://www.cbseportal.com
  • 409. 393 16. Jeevan dhara Ltd ...................................... .Journal Entries. OR/Ans. Books of Jeevan Dhara Ltd. Journal Date Particulars LF Dr.Amt Cr. Amt (`) (`) i. BankA/c Dr. 3,00,000 ToEquityShareApplicationA/c 3,00,000 ½ (Forapplicationmoneyreceivedon 1,50,000 shares) ii. EquityShareApplicationA/c Dr. 3,00,000 To Equity Share CapitalA/c 2,40,000 1 ToEquityShareAllotmentA/c 60,000 (Forequityshareallotmentmade) iii. EquityShareallotmentA/c Dr. 6,00,000 To Equity Share CapitalA/c 3,60,000 1 ToSecuritiespremium/Securities 2,40,000 premiumreserveA/c (Forallotmentmoneydue) iv. BankA/c Dr. 5,29,200 ToEquityshareallotmentA/c 5,29,200 1 (Forallotmentmoneyreceivedexcept on 2,400 shares) OR BankA/c Dr. 5,29,200 Calls in arrearsA/c Dr. 10,800 ToEquityShareAllotmentA/c 5,40,000 (Forallotmentmoneyreceivedexcept on 2,400 shares and the advance adjusted) Download From: http://www.cbseportal.com
  • 410. 394 v. EquitySharefirstandfinalcallA/c Dr. 6,00,000 ½ To Equity Share CapitalA/c 6,00,000 (Forfirstandfinalcallmoneydueon 1,20,000 shares) vi. BankA/c Dr. 5,76,000 ToEquitysharefirstandfinalcallA/c 5,76,000 (Forfirstandfinalcallmoneyreceived except on 4800 shares) 1 OR BankA/c Dr. 5,76,000 Calls in arrearsA/c Dr. 24,000 ToEquitysharefirstandfinalcallA/c 6,00,000 (Forfirstandfinalcallmoneyreceived except on 4800 shares) vii. EquityShareCapitalA/c Dr. 48,000 SecuritiesPremium/SecuritiesPremium ReserveA/c Dr. 4,800 1 To Share ForfeitureA/c 18,000 ToEquityshareallotmentA/c 10,800 ToEquitySharefirstandfinalcall 24,000 (For 4800 shares forfeited) OR EquityShareCapitalA/c Dr. 48,000 SecuritiesPremium/SecuritiesPremium ReserveA/c Dr. 4,800 To Equity Share ForfeitureA/c 18,000 To Calls in arrearsA/c 34,800 (For 4800 shares forfeited) Download From: http://www.cbseportal.com
  • 411. 395 viii. BankA/c Dr. 43,200 ShareforfeitureA/c Dr. 4,800 1 To Equity Share CapitalA/c 48,000 (For shares reissued for `9 per share fullypaidup) ix. ShareforfeitureA/c Dr. 13,200 1 To capital reserveA/c 13,200 (For forfeiture balance transferred to = capitalreserve) 8 Marks 17. Charu and Harsha .............................. CapitalAccounts. Ans. RevaluationA/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) To Profit transferred to By Provision for Bad Debts 2,000 Partner's CapitalA/c A/c Charu 1,200 2 Harsha 800 2,000 2,000 2,000 Partner's CapitalA/c Particulars Charu Harsha Vaishali Particulars Charu Harsha Vaishali ` ` ` ` ` ` To Current 5,400 3,600 ------ By Balance 30,000 20,000 ------ A/cs b/d To Balance c/d 36,000 24,000 20,000 By General 2,400 1,600 ------ Reserve A/c By Cash A/c ------ ------ 20,000 1 1 ½ ½ ½ ½ ½ Download From: http://www.cbseportal.com
  • 412. 396 By premium 2,400 1,600 ------ for goodwill A/c By Revaluation 1,200 800 ------ A/c By Workmen 1,800 1,200 ------ Compensation Fund By Investment 3,600 2,400 ------ 6 fluctuation fund Marks 41,400 27.600 20,000 41,400 27.600 20,000 = 8 Marks OR 17. Amit, Balan and Chander ............................. retirement. Ans. RevaluationA/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) ToMachineryA/c 4,800 By Provident FundA/c 600 To PatentsA/c 1,000 ByInvestments 5,800 To Profit transferd to Partner's CapitalA/c Amit 300 Balan 200 3 Marks Chander 100 600 6,400 6,400 1 ½ 1 1 ½ 1 ½ ½½ Download From: http://www.cbseportal.com
  • 413. 397 Partner's CapitalA/c Particulars Amit Balan Chander Particulars Amit Balan Chander (`) (`) (`) (`) (`) (`) To Chander's 2,700 1,800 ------ By Balance b/d 40,000 36,500 20,000 Capital A/c To Investmen ------ ------ 15,800 By General 4,500 3,000 1,500 5 A/c Reserve A/c Marks To Chander's ------ ------ 10,300 By Amit's ------ ------ 2,700 Loan A/c Capital To Balna's 5,900 By Balan's ------ ------ 1,800 Current A/c Capital To Balance c/d 48,000 32,000 By Revaluation 300 200 100 A/c By Amit's 5,900 = Current A/c 8 50,700 39,700 26,100 50,700 39,700 26,100 Marks . PART B (Financial StatementsAnalysis) 18. Which ............................................. equity shares. Ans. (c) Sale of machinery of the book value of ` 74,000 at a loss of ` 9,000 1 Mark 19. While preparing ...................................... reason. Ans. No, he is not correct. ½ + ½ Reason: As Gulfam Ltd. Is a financing company so dividend recieved is an = 1 Mark operatingactivityforit. ½ ½ ½ ½ ½ ½ ½ ½ ½ ½ Download From: http://www.cbseportal.com
  • 414. 398 20. Under which ...................................... three years. Ans. S.No. Items Major Heads 1 Loans provided repayable on demand CurrentLiabilities 2 Goodwill Non current assets 3 Copyrights Non current assets 4 Loose tools Current assets ½ x 8 5 Cheques Current assets = 4 Marks 6 GeneralReserve Shareholders'funds 7 Stock of finished goods Current assets 8 9% Debentures repayable after three Noncurrentliabilities years 21. From the .......................................... Tax and Dividend. Ans. a) ReturnonInvestment = Net Profit before Interest, tax and Dividend/Capital Employed x 100 Net Profit before Interest, tax and Dividend = ` 14,50,000 2 Marks Capital Employed = FixedAssets + CurrentAssets - Current Liabilities = ` 75,00,000 + ` 40,00,000 - ` 27,00,000 = ` 88,00,000 Return on Investment = ` 14,50,000 / ` 88,00,000 x 100 = 16.47% ½ ½ 1 Download From: http://www.cbseportal.com
  • 415. 399 b) TotalAssets to Debt Ratio = TotalAssets / Long term debt TotalAssets=FixedAssets+CurrentAssets=75,00,000+40,00,000=`1,15,00,000 Long term Debt = 12% Debentures = ` 80,00,000 2 Marks TotalAssets to Debt Ratio = 1,15,00,000/80,00,000 = 4 Marks = 1.44:1 22. The motto ......................................... to propagate. Ans. a) Net Profit Ratio = Net Profit after tax / Revenue from operations x 100 As on 31-03-2013 = 3,00,000/ 10,00,000 x 100 =30% 2 Marks As on 31-03-2014 = 6,00,000 /15,00,000 x 100 = 40% b) Values: (Any two) ParticipationofEmployeesinexcessprofits. Treating employees a part of the company. Ethical practices of company 2 x 1 2 Marks Hardwork and honesty of employees. = 2 Servingtheorganisationwithdignity. = (Or any other suitable value) 4 Marks Note : For Hindi medium students only : If in place of values, an examinee has mentioned any two profitability ratios, full credit needs to be given. ½ ½ 1 1 ½ ½ Download From: http://www.cbseportal.com
  • 416. 400 23. Prepare a Cash flow Statement ............... 31-3-2013 and 31-3-2012. Ans. Cash flow statement of Thermal Power Ltd. For the year ended 31st March 2014 as per AS-3 (Revised) Particulars Details (`) Amount (`) Cash Flows from OperatingActivities: Net Profit before tax & extraordinary items 1,00,000 Add: Non cash and non-operating charges Goodwillwrittenoff 72,000 Depreciationonmachinery 66,000 Lossonsaleofmachinery 2,000 Operatingprofitbeforeworkingcapitalchanges 2,40,000 Less: Increase in CurrentAssets Increase in trade receivables (27,000) Increaseininventories (8,000) Less: Decrease in Current Liabilities Decrease in trade payables (25,000) Decrease in short term provisions (I) (27.000) CashgeneratedfromOperatingActivities 1,53,000 1,53,000 2 Cash flows from InvestingActivities: Purchaseofmachinery (2,94,000) Saleofmachinery 6,000 Cashusedininvestingactivities (2,88,000) (2,88,000) 1 Cash flows from FinancingActivities: Issue of share capital 1,00,000 Moneyraisedfromborrowings 70,000 Cashfromfinancingactivities 1,70,000 1,70,000 1 Net increase in cash & cash equivalents 35,000 Download From: http://www.cbseportal.com
  • 417. 401 Add: Opening balance of cash & cash equivalents: Current Investments (II) 1,50,000 Cash&cashequivalents 3,75,000 1 5,25,000 ClosingBalanceofcash&cashequivalents: Current Investments (II) 2,40,000 Cash&cashequivalents 3,20,000 5.60.000 Working Notes: Machinery A/c Particulars Amount (`) Particulars Amount (`) To Balance b/d 10,00,000 By BankA/c 6,000 ½ To BankA/c (Bal. Figure) 2,94,000 ByAccumulated 16,000 Depreciation By Loss on sale of 2,000 machinery By Balance c/d 12,70,000 12,94,000 12,94,000 Accumulated DepreciationA/c Particulars Amount (`) Particulars Amount (`) ToMachineryA/c 16,000 By Balance b/d 1,50,000 ½ = 6 To balance c/d 2,00,000 ByDepreciationA/c 66,000 Marks (Balfig.) 2.16.000 2.16.000 ⎪ ⎭ ⎪ ⎬ ⎫ Download From: http://www.cbseportal.com
  • 418. 402 Notes: (I) If short term provision is not treated as current liabilities by an examinee: Decrease in short term provisions will not be shown. 1. If short term provision is treated as provision for doubtful debts. Operatingprofitbeforeworkingcapitalchangeswillbe`2,13,000. There is no change in the cash flow from the three activities and fullcreditistobegivenforthistreatmentalso. 2. If short term provision is treated as provision for tax: Net profit before tax and extraordinary items will be ` 1,50,000. Operatingprofitbeforeworkingcapitalchangeswillbe`2,90,000. Cash generated from operations before tax will be ` 2,30,000 Tax paid off ` 77,000 will be deducted for calculating cash from operatingactivities. There is no change in the cash flow from the three activities and fullcreditis to be given for this treatment also. 3. If short term provision is treated as proposed dividend: Net profit before tax and extraordinary items will be ` 1,50,000. Cash from operating activities will be ` 2,30,000 Cashusedininvestingactivitywillremainsamei.e. ` (2,88,000) Cashfromfinancingactivitywillbe` 93,000 (II) If current investment is treated as current asset by an examinee: Increaseincurrentinvestment`90,000willbedeductedfromoperating profit before working capital changes. Opening and closing balance of cash & cash equivalentswill be ` 3,75,000 and ` 3,20,000 respectively. Download From: http://www.cbseportal.com
  • 419. 403 PART C (ComputerizedAccounting) 18. A sequential. .................................... names. Ans. (a) Numbers and letters are assigned in consecutive order. 1 Mark 19. DBMS stands for ........................... software. Ans. (c) Data Base Management System 1 Mark 20. Explain ................................... bill. Ans. Asalarybillshould Payroll related data such as employee No, Name,Allendance; Basic pay, applicable Dearness and other allowance, deductions to be made. Periodicpayrollcomputations.Theseincludecalculationofvariousearnings and deduction heads, which are to be derived from basic values as per the formulae. Preparationofsalarystatementemployeesalaryslips. 1 x 4 = Generation of advice to bank which contains salary to be transformed Marks toindividualbankaccountofemployee. 21. Why is it ......................................... safety. Ans. Tohaveanedgeovercompetitorsandavailfirstmoveradvantageitisnecessaryo maintainsecrecyandconfidentiality.Thetoolswhichhelptomaintainsecrecyare: (Anytwo) 1. Password security: Password is widely accepted security control to access thedata.Onlytheauthorizedpersoncanaccessthedata.Anyuserwhodoes notknowthepasswordcannotretrieveinformationfromthesystem.Itensures data integrity. It uses a binary encoding format of storage and offers access to the data base. 2. Data Audit: Audit feature of accounting software provides the user with administrator right in order to keep track of unauthorized access to the data base. It audit for the correctness of entries. Once entries are audited with Download From: http://www.cbseportal.com
  • 420. 404 adulterations, if any the software displays all entries along with the name of the auditor user and date and time of alteration. 3. Data vault: Software provides additional security for the imputed data and this feature is referred as data' vault. Data vault ensures that original 2 x 2 informationispresentedandisnottempered.Datavaultpasswordcannotbe = Marks broken Some software uses data encryption method. 22. Name ................................. interest. Ans. (Any four) Tailoredsoftware Suitable for large organizations which have multiuse's and geographically scatteredlocations. RequireSpecialtiestrainingtouse. 4 Marks TheyformanimportantpartofMISoftheorganization. The secrecy and authenticity checks are robust. Offerhighflexibilityintermsofno.ofusers. 23. Name and explain ................................ interest. Ans. ThenameoffinancialFunctionsis ACCRINT. This function returns the accrued interest for a security that pays periodic interest. Thesyntaxofthisisasfollows: ACCRINT(issue,first_interest,settlement,rate,par,frequency,basis,calc_method) DatesshouldbeenteredbyusingtheDATEfunctionorasresultsofotherformulas orfunctions. Issue is the security's issue date. First_interest isthesecurity'sfirstinterestdate. Settlement isthesecurity'ssettlementdate.Thesecuritysettlementdateisthe dateaftertheissuedatewhenthesecurityistradedtothebuyer. Rate isthe security's annual coupon rate. Par is the security's par value. By default par is 1000 = 6 Marks Frequency is the number of coupon payments per year. Basis is the type of day count basis to use. Download From: http://www.cbseportal.com
  • 421. 405 QUESTION PAPER CODE 67/1 EXPECTEDANSWERS/VALUE POINTS PARTA 1. In the absence of ........................ allowed. Ans. (ii) @ 6 % per annum. 1 Mark 2. Geeta, Sun ita and Anita .......................... of your answer. Ans. No, the accountant didn't give correct treatment as capital account of the partners are to be debited. 1 Mark 3. On the death ....................... Account. Ans. (iii) Debit of Profit and Loss SuspenseAccount. 1 Mark 4. Anant, Gulab and Khushbu .................... Khushbu. Ans. Journal 1 Mark Date Particulars LF Dr (`) Cr (`) 2014 Gulab'sCapital Dr. 8,000 April1 Khushbu's CapitalA/c Dr. 32,000 ToAnant's CapitalA/c 40,000 (Beingtreatmentofgoodwillin changeinprofitsharingratio recorded i.e 1:4) 5. Give the ....................................... forfeiture of share. Ans. Forfeitureofsharesmeanscancellationofsharesallotedandtreatingactuallyreceived amountasforfeited. [or any other suitable meaning) 1 Mark Download From: http://www.cbseportal.com
  • 422. 406 6. Nirman Ltd. Issued ............................. final call was. Ans. (iii) ` 2,21,000 1 Mark 7. Guru Ltd ............................... allotment of shares. Ans. Alternatives available to the Board of directors are :- Excess applications may be rejected and shares may be allotted to the remainingapplicantsasfull. 1 Mark Shares may be allotted to all the applicants on pro rata basis. each Some of the applications may be rejected & shares may be allotted to the remainingapplicantsonproratabasis. = 3 Marks 8. On 1-4-2013 Brij and Nandan ............................... year ended 31-3-2014. Ans. In the books of Brij and Nandan Profit & lossAppropriationAlc Dr. For the year ended 31st March 2014 Cr. Particulars Amount (`````) Particulars Amount (`````) To Interest on Capital: By Profit and loss A/c 2,00,000 Brij's Capital A/c 80,000 = Nandan's CapitalA/c 1,20,000 2,00,000 3 Marks 2,00,000 2,00,000 Working Notes: Interest on capital of Brij = ` 1,20,000 Inter. on capital of Nandan = ` 1,80,000 Proportionateprofit = 1,20,000/3,00,000 x 2,00,000 = ` 80,000 = 1,80,000/3,00,000 x 2,00,000 = ` 1,20,000 Note: If an examinee has not given the working notes but prepared the correct profit and loss appropriation account full credit to be given ⎪ ⎭ ⎪ ⎬ ⎫ 1 1 ⎪ ⎭ ⎪ ⎬ ⎫ 1 Download From: http://www.cbseportal.com
  • 423. 407 9. Suvidha Ltd. ............................... toAccounts. Ans. Balance Sheet of Suvidha Ltd. As at ............................. (As per revised schedule VI) Particulars Note No. Amount Amount ` ` Current year Previous year EQUITY&LIABILITIES I Shareholder's funds : a) Share Capital 1 1,00,00,000 1 Notes to Accounts: Particulars ` (1) Share Capital Authorised Captial : 10,00,000 equity shares of ` 100 each 10,00,00,000 1 Issued Capital ½1,00,000 equity shares of ` 100 each 100,00,000 Subscribed and fully paid ½ 1,00,000 shares of ` 100 each 100,00,000 = 3 Marks 10. Good Blankets Ltd ................................. to the society. Ans. a) Books of Good Blankets Ltd. Journal Date Particulars L.f. Dr. Cr. Amt (`) Amt (`) i. MachineryA/c Dr. 7,00,000 7,00,000 To VendorsA/c 1 (Beingpurchaseofmachineryfrom vendors) Download From: http://www.cbseportal.com
  • 424. 408 ii. VendorsA/c Dr. 7,00,000 To Equity Share CapitalA/c 5,00,000 To 8% DebenturesA/c 2,00,000 1 (Beingissueofequitysharesand debentures at par to vendors) OR VendorsA/c Dr. 5,00,000 To Equity Share CapitalA/c 5,00,000 (Beingissueofequityshares) VendorsA/c Dr. 2,00,000 To 9% DebenturesA/c 2,00,000 (Being issue debentures at par) b) Values which the company wants to communicate to the society: (Any one) Socialresponsibility Generationofemploymentopportunitiesinruralareas 1 = (OR any other suitable value.) 3 Marks 11. Arun, Varun and Karan ......................... transferred to his Capital account. Ans. Dr. Karan's CapitalA/c Cr. Particulars Amount (`) Particulars Amount (`) To Balance b/d 13,000 ByArun'sCapitalA/c 90,000 To Karan's ExecutorA/c 2,00,430 By Varun's CapitalA/c 67,500 By P/LSuspenseA/c 26,250 By Karan's loanA/c 28,000 Byinterestonloan 1,680 4 Marks 2,13,430 2,13,430 ½ ½ ½ ½ ½ ½ 1 ½ ½ Download From: http://www.cbseportal.com
  • 425. 409 Workingnotes: i. Calculation of Interest on loan: 28,000 x 12/100 x 6/12 = ` 1,680 ii. CalculationofShareofProfit= 1,75,000 x 3/10 x 6/12 . = ` 26,250 iii. Share in Goodwill = 3 x 7,00,000/4 x 3/10 = ` 1,57,500 Arun's share = ` 90,000 Va run's share = ` 67,500 12. Prem, Param and Priya .......................... and Priya. Ans. Journal Date Particulars L.f. Dr. Cr. Amt (`) Amt (`) Prem's CurrentA/c Dr. 1,55,000 Priya's CurrentA/c Dr. 1,55,000 To Prem's CurrentA/c 3,10,000 (Changeinprofitsharingratio incorporatedretrospectively) Working notes Table showing adjustments Particulars Prem (`) Param (`) Priya (`) Total (`) Profits already distributed (Dr.) 3,10,000 4,65,000 7,75,000 15,50,000 Profits to be distributed (Cr.) 6,20,000 3,10,000 6,20,000 15,50,000 Net effect 3,10,000(Cr) 1,55,000 (Dr) 1,55,000 (Dr) ----- Note. Working notes in any form to be given full credit = 4 Marks 2 1 1 Download From: http://www.cbseportal.com
  • 426. 410 13. On 1-1-2008, Uday ........................... Govind's death. Ans. 1. Calculation of Sacrificing ratio Sacrificing Ratio of Uday 5/10 - 3/10 = 2/10 Sacrificing Ratio of Kaushal 5/10 - 2/10 = 3/10 2 Sacrificing Ratio = 2:3 New profit sharing ratio of uday Kaushal Govind and Hari : Uday's new share 3/10 -1/30 = 9/30-1/30 = 8/30 Kaushal's new share 2/10 -1/30 = 6/30-1/30 = 5/30 2 Govind's new share 5/10 -1/30 = 15/30 -1/30 = 14/30 Hari's new share 1/30 + 1/30 + 1/30 = 3/30 New ratio = 8:5:14:3 New profit sharing ratio on Gobind's death = Uday 8/30 +7/30 = 15/30 Kaushal new share = 5/30 Hari new profit sharing ratio= 3/30 +7/30 =10/30 2 New ratio = 15:5:10 or 3:1:2 New Profit sharing ratio of Uday, Kaushal, Govind and Hari on Hari's admission is 8:5:14:3 New Profit sharing ratio of Uday, Kaushal and = Hari on Govind's death is 3:1:2. 6 Marks 14. Ananya Ltd ............................... redeemed. Ans. Dr. 9% Debentures A/c Cr. Date Particulars LF Amount Date Particulars LF Amount (`) (`) 2009 To Balance c/d 1,00,00,000 2008 By Debentures 95,00,000 Mar31 Aprl app & all A/c By Discount on 5,00,000 issse of 1,00,00,000 debentures A/c 1,00,00,000 ½ ½ ½ ½ ½ ½ ½ 1 1 1 ½ Download From: http://www.cbseportal.com
  • 427. 411 2010 To Balance c/d 1,00,00,000 2009 By Balance b/d 1,00,00,000 Mar 31 1,00,00,000 Apr 1 1,00,00,000 2011 To Debenture 10,00,000 2010 By Balance b/d 1,00,00,000 Mar31 holders A/c Apr1 Mar31 To Balance c/d 90,00,000 1,00,00,000 1,00,00,000 2012 To Debenture 20,00,000 2011 By Balance b/d 90,00,000 Mar 31 Holder A/c Apr l Mar 31 To Balance c/d 70,00,000 90,00,000 90,00,000 2013 To Debenture 30,00,000 2012 By Balance b/d 70,00,000 Mar 31 Holder A/c Apr 1 Mar 31 To Balance c/d 40,00,000 = 6 70,00,000 70,00,000 Marks 2014 To Debenture 40,00,000 2013 By Balance B/d 40,00,000 Mar 31 holders A/c April 1 40,00,000 40,00,000 15. Mala, Neela and Kala .................................... amounts. Ans. Realisation A/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) ToSundryAssets: By Provision for bad debts 1,000 Machinery 10,000 By Sundry Creditors 15,000 Stock 21,000 By Sheela's Loan 13,000 Debtors 20,000 ByRepairsandRenewals 1,200 PrepaidInsurance 400 reserve 1 Investments 3,000 54,400 By cash -Assets sold: Machinery 8,000 1 1 1 1 1 Download From: http://www.cbseportal.com
  • 428. 412 To Mala's capitalA/c 13,000 Stock 14,000 --Sheela's Loan Debtors 16,000 38,000 To Cash- creditors paid 15,000 By Mala's Capital- 2000 Investments To Cash- dishonoured bill 5,000 By LossTransferred to paid To Cash- Expenses 800 Partners' CapitalA/c: Mala 9,000 Neela 6,000 Kala 3,000 18,000 88,200 88,200 Partner's CapitalA/c Particulars Mala Neela Kala Particulars Mala Neela Kala (`) (`) (`) (`) (`) (`) To Realisation 9,000 6,000 3,000 By Balance b/d 10,000 15,000 2,000 A/c To Realisation 2,000 ------ ------ By Realisation 13,000 ------ ------ 4 A/c A/c To Cash A/c 12,000 9,000 ------ By Cash A/c ------ ------ 1,000 23,000 15,000 3,000 23,000 15,000 3,000 Dr. Karan's CapitalA/c Cr. Particulars Amount (`) Particulars Amount (`) To balance b/d 2,800 ByRealisationA/c- 15,000 To realisationA/c - Sale of 38,000 Creditors paid Assets ByDishonouredbill 5,000 To Kala's CapitalA/c 1,000 ByRealisationA/c 800 (Expenses) By Mala's capitalA/c 12,000 1 By Neela's CapitalA/c 9,000 = 41,800 41,800 6 marks 1 1 1 1 1 1 Download From: http://www.cbseportal.com
  • 429. 413 16. BMY Ltd .................................. in the books of BMY Ltd. Ans. Books of BMY Ltd. Journal Date Particulars LF Dr.Amt Cr. Amt (`) (`) i. BankA/c Dr. 10,03,000 1 ToEquityShareApplicationA/c 10,03,000 (Beingapplicationmoneyreceived withpremiumfrom10,000applicants) ii. EquityShareApplicationA/c Dr. 10,03,000 To Equity Share CapitalA/c 5,00,000 ToEquityshareAllotmentA/c 3,000 TosecuritiespremiumA/c 5,00,000 1½ (Beingapplicationmoneytransferred to share capital) iii. EquityShareAllotmentA/c Dr. 10,00,000 To Equity share CapitalA/c 5,00,000 TosecuritiespremiumA/c 5,00,000 (Beingallotmentmoneyduewithpremium) 1 iv. BankA/c Dr. 9,95,000 ToEquityshareAllotmentA/c 9,95,000 (Beingallotmentmoneyreceived) OR BankA/c Dr. 9,95,000 1½ Calls in arrearsA/c Dr. 2,000 ToEquityShareAllotmentA/c 9,97,000 (Beingallotmentmoneyreceived except on 200 shares and the advance adjusted) Download From: http://www.cbseportal.com
  • 430. 414 v. EquitySharecapitalA/c Dr. 2,000 Securitiespremium/Securitiespremium 1,000 reserveA/c Dr. To Share forfeitedA/c 1,000 1 ToEquityshareAllotmentA/c/Callsin 2,000 arrearsA/c (Being200sharesforfeited) vi. BankA/c Dr. 4,000 To Equity Share CapitalA/c 2,000 ToSecuritiesPremium/Securities 2,000 1 premiumreserveA/c (Being 200 shares reissued for ` 20 per share fully paid up) vii. ShareforfeitureA/c Dr. 1,000 To capital reserveA/c 1,000 (Beingforfeiturebalancetransferred 1 = to capital reserve) 8 Marks 16. Blue Star Ltd. ..................................... Blue Star Ltd. Ans. Books of Blue Star Ltd. Journal Date Particulars LF Dr.Amt Cr. Amt (`) (`) (i) BuildingA/c Dr. 60,000 ToVendorA/c 60,000 1 (Beingbuildingpurchasedfromvendor) (ii) VendorA/c Dr. 60,000 To Equity Share CapitalA/c 60,000 1 (Being shares issued to vendors) (iii) BankA/c Dr. 16,000 ToEquityShareApplicationA/c 16,000 (Beingapplicationmoneyreceived ½ from 8,000 applicants) Download From: http://www.cbseportal.com
  • 431. 415 (iv) EquityShareApplicationA/c Dr. 16,000 To Equity Share CapitalA/c 16,000 ½ (Beingapplicationmoneytransferred to share capital) (v) EquityShareAllotmentA/c Dr. 8,000 To Equity share CapitalA/c 8,000 1 (Beingallotmentmoneydue@Re.1per share) (vi) BankA/c Dr. 7,250 ToEquityshareAllotmentA/c 7,250 (Beingallotmentmoneyreceived) 1 OR BankA/c Dr. 7,250 Calls in arrearA/c Dr. 750 ToEquityshareallotmentA/c 8,000 (Beingallotmentmoneyreceivedwiththe exception of 750shares) (vii) EquityShareFirstCallA/c Dr. 16,000 ToEquityshareCapitalale 16,000 1 (BeingFirstcallmoneydue) (viii) BankA/c Dr. 12,000 To EquityshareFirstcallA/c 12,000 (BeingFirstcallmoneyreceived) OR BankA/c Dr. 12,000 1 Calls in arrearsA/c Dr. 4,000 ToEquitysharefirstandfinalcallA/c 16,000 (beingfirstandfinalcallmoneyreceived except on 2000 shares) Download From: http://www.cbseportal.com
  • 432. 416 (ix) EquityShareCapitalA/c Dr. 3,750 To share forfeitedA/c 1,500 ToEquityshareAllotmentA/c 750 To share First callA/c 1,500 (Being 750 shares were forfeited) 1. OR Share CapitalA/c Dr. 3,750 ToEquityshareforfeitureA/c 1,500 = 8 To calls in arrearsA/c 2,250 Marks (Being750sharesforfeited) 17. Om, Ram and Shanti .................................. CapitatAccounts. Ans. RevaluationA/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) ToliabilitiesforB/R 18,000 Bylandandbuilding 36,400 discounted By Loss transferred to : 2½ To stock 22,200 Om 25,200 ToFurniture 46,600 Ram 16,800 Shanti 8,400 50,400 86,800 86,800 Partner's CapitalA/c Particulars Om Ram Shanti Particulars Om Ram Shanti (`) (`) (`) (`) (`) (`) To Revaluation 25,200 16,800 8,400 By Balance b/d 3,58,000 3,00,000 2,62,000 A/c By General 24,000 16,000 8,000 Reserve A/c To Current 9,200 1,16,600 By premium 15,000 10,000 5,000 5 A/cs A/c By Current A/c 78,200 To Balance c/d 4,50,000 3,00,000 1,50,000 4,75,200 3,26,000 2,75,000 4,75,200 3,26,000 2,75,000 ½ ½ ½ ½ ½ ½ ½ 1 1 1 1 Download From: http://www.cbseportal.com
  • 433. 417 Hanuman's CapitalA/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) To Balance c/d 1,00,000 By BankA/c 1,00,000 1,00,000 1,00,000 Working Notes: Hanuman's capital = 1,00,000 Hanuman's share = 1/10 Capital of the firm = 1,00,000 x 10 = 10,00,000 less:Hanuman'scapital= 1.00.000 2½ + 5 9,00,000 ½ = Om's capital = 9,00,000 x 3/6 = 4,50,000 8 Marks Ram's capital = 9,00,000 x 2/6 = 3,00,000 Shanti's capital = 9,00,000 x 1/6 = 1,50,000 Hanuman's capital = 1,00,000 17. Xavier, Yusuf ..................................... accounts. Ans. RevaluationA/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) To loss transferred to: BylandandbuildingA/c 15,000 Xavier 11,400 By provision for Bad debts 1,050 Yusuf 8,550 A/c Zaman 5,700 25,650 By stockA/c 9,600 2 25,650 25,650 ½ ½ ½ ½ ½ ½ Download From: http://www.cbseportal.com
  • 434. 418 Partner's CapitalA/c Particulars Xavier Yusuf Zaman Particulars Xavier Yusuf Zaman (`) (`) (`) (`) (`) (`) To Yusufs 12,000 ------- 6,000 By Balance b/d 1,20,000 90,000 60,000 capital A/c By Revaluation 11,400 8,550 5,700 A/c By Xavier's ------- 12,000 ------- 6 Capital To Yusufs ------- 1,16,550 ------- A/c Loan A/c Zaman's Capital ------- 6,000 ------- To balance 1,19,400 ------- 59,700 A/c c/d 1,31,400 1,16,550 65,700 1,31,400 1,16,550 65,700 = 8 To Balance 1,19,400 ------- 59,700 By Balance b/d 1,19,400 ------- 59,700 Marks c/d WorkingNotes: 1. Gaining Ratio = New share - old share Xavier = 2/3 - 4/9 = 2/9 Zaman = 1/3 - 2/9 = 1/9 Gainingratio=2:1 Yusuf's share of Goodwill = 54,000 x 3/9 = 18,000 Xavier's capital A/c = 18,000 x 2/3 = 12,000 Zaman's CapitalA/c = 18,000 x 1/3 = 6,000 2. Xavier's Capital = 1,19,400 Zaman's capital =59.700 Total capital = 1,19,400 + 59,700 = 1,79,100 Xavier's share = 1,79,000 x 2/3 = 1.19,400 Zaman's share = 1,79,000 x 1/3 = 59,700 Note: No marks for working notes. Download From: http://www.cbseportal.com
  • 435. 419 PART B (Financial StatementsAnalysis) 18. Which .................................... bank. Ans. (iii) Received Rs. 19,000 from debtors. 1 Mark 19. The accountant ............................... reason. Ans. Yes, he is correct because depreciation is a non cash expense/item. 1 Mark 20. Under which ................................ three years. Ans. S.No. Items Headings Sub headings 1. Net loss as shown by Shareholder'sfunds ReserveandSurplus statementofProfitand asnegativeitern loss 2. CapitalRedemption Shareholder'sfunds ReserveandSurplus Reserve 3. Bonds Noncurrentliabilities Longtermborrowings ½ x 8 = 4. Loans payable on Currentliabilities Shorttermborrowings 4 Marks demand 5. Unpaiddividend Currentliabilities Othercurrent liabilities 6. Buildings Non current assets fixedassets-tangible 7. Trademarks Non current assets Fixedassets-intangible 8. Rawmaterial Current assets Inventory ½ ½ ½ ½ ½ ½ ½ ½ Download From: http://www.cbseportal.com
  • 436. 420 21. The current ................................ creditors. Ans. Reason i) Increase if redemption of debentures takes place in the current /Decrease yearwhereoutstandingdebenturesconsideredascurrent liabilityinsuchcaseratiowillincrease. Alternatively, Redemption of Debenture will decrease cashbutcurrentliabilitieswillremainthesame. ii) No change Itwillincreasecashanddecreasedebtorswiththesame amount. No change in current assets and current liabilities. iii) No change Bothcurrentassetsandcurrentliabilitiesarenotaffected, iv) No change No change in current assets and current liabilities. Because increase in one current liability results in decrease in another current liability with the same 1 x 4 = amount. 4 Marks 22. The motto .................................... to propagate. Ans. a) Net Profit Ratio = Net Profit / Revenue from operations x100 As on 31-03-2013 = Net Profit / Revenue from operations x 100 2 = 6,00,000/20,00,000 x 100 = 30% As on 31-03-2014 = Net Profit / Revenue from operations x 100 = 12,00,000/30,00,000 x 100 = 40% 1 mark for formula and half a mark for calculation of profit of each year. b) Values: (Any two) ParticipationofEmployeesinexcessprofits. Treating employees a part of the company. Ethicalpracticesofcompany Hardwork and honesty of employees. 2 = Servingtheorganisationwithdignity. 4 Marks (Or any other suitable value) 1 ½ ½ Download From: http://www.cbseportal.com
  • 437. 421 23. Following .................................. statement. Ans. Cash flow statement of Solar Power Ltd. For the year ended 31st March 2014 as perAS-3 (Revised) Particulars Details(`) Amount(`) A. Cash Flows from OperatingActivities: Net Profit before tax & extraordinary items 2,00,000 Add: Non cash and non-operating charges Goodwillwrittenoff 1,44,000 Depreciationonmachinery 1,32,000 Lossonsaleofmachinery 4,000 Operating;profitbeforeworkingcapitalchanges 4,80,000 Less: Increase in CurrentAssets Increase in trade receivables (54,000) Increaseininventories (16,000) Less:Decrease in Current liabilities (70,000) Decrease in trade payables (50,000) Decreaseinshorttermprovisions (54,000) (1,74,000) CashgeneratedfromOperatingActivities 3,06,000 3 B. Cash flows from InvestingActivities: Purchaseofmachinery (5,88,000) Saleofmachinery 12,000 (5,76,000) 1 Cashusedininvestingactivities C. Cash flows from FinancingActivities: Issue of share capital 2,00,000 Moneyraisedfromborrowings 1,40,000 3,40,000 1 Cashfromfinancingactivities Net increase in cash & cash equivalents (A+B+C) 70,000 Add:Openingbalanceofcash&cashequivalents: CurrentInvestments 3,00,000 Cash&cashequivalents 7,50,000 10,50,000 ClosingBalanceofcash&cashequivalents: CurrentInvestments 4,80,000 Cash&cashequivalents 6,40,000 11.20.000 Download From: http://www.cbseportal.com
  • 438. 422 Working Notes: MachineryA/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) To Balance b/d 20,00,000 By BankA/c 12,000 ByAccumulated 32,000 Depreciation ByLossonsaleofmachinery 4,000 To Bank 5,88,000 By Balance c/d 25,40,000 25,88,000 25,88,000 Accumulated Depreclation A/c Dr. Cr. Particulars Amt (`) Particulars Amt (`) ToMachineryDisposal 32,000 By Balance b/d 3,00,000 To Balance c/d 4,00,000 ByDepreciatione/c 1,32,000 4,32,000 4,32,000 Notes: Ifshorttermprovisionistreatedasprovisionfortaxorprovisionfordoubtful debts, full credit is to be given. If short term provision is treated as proposed dividend then cash flow from operatingactivitywillbe` 4,60,000andfinancingactivitywillbe`1,86,000. Iftheexamineehaspresentedtheworkingnoteswithassetdisposalaccount fullcredittobegiven. If the examinee has treated current investments as current assets then the cash flow from operating actvitities will be ` 1,26,000 and increase or = 6 Marks decrease in cash and cash equvalents will be `1,10,000 ½ ½ Download From: http://www.cbseportal.com
  • 439. 423 PART B (ComputerizedAccounting) 18. SJ for sales accounting codes. Ans. (ii) MnemonicCodes 1 Mark 19. The common ............................. .fields. Ans. (i) Keyfields 1 Mark 20. State the ......................... payroll period. Ans. Elementsconsideredwhilecalculating'deductions'forcurrentpayrollperiodare: 1. PTprofessionaltaxapplicableinstate. 2. TDS- Tax deduction at source which is a statutory deduction and deducted towardsmonthlyincometaxliability. 3. Recoveryofloaninstatementiftakenupbyemployee. 4 Marks Any other deduction e.g 'advance against salary or festival advance etc. 21. What is meant ................................ advantages. Ans. DBMS is a collection of programs that help a business to create and maintain a database. It is a general purpose software system that facilitates the process of defining,constructingandmanipulatingdatabaseforvariousapplicationsAdvantages ofDBMS(AnyTwo)withexplanation: 2 1. Reduce Data redundancy. 2. Informationprotection 3. Datadictionarymanagement. 4. Greaterconsistency 2 = 5. Reduced cost 4 Marks 6. Backupandrecoveryfacility. Download From: http://www.cbseportal.com
  • 440. 424 22. Explain ...................................... graph/charts. Ans. Following are the advantages of using Graph / Charts: (Anv two) 1. Help to explore. 2. Help to present. 2 + 2 3. Helptoconvince.Suitableexplanation. = 4 Marks 13 State the steps ............................ format. Ans. (i) setect the rangeA1 :A10 for eg (ii) OntheHometab,clickconditionalformattingclearrulesfiromselectedcells. (iii) Selectaformattingstyle (iv) Click ok. OR Formatting of spreadsheet makes easier to read aoo understand important information. 1. Currency:excelisequi:ppedtoincorporatevariouscurrencysigmainpictorial formfordollarituses$similarlyforothercurrenciesalso.Iftheuserinstructs the use of the format it will assign a currency format along with entry. (Example). 2. Percentage:Ifweenteravaluerepresentingapercentageasawholenumber followedbythepercentagesignwithoutanydecimalplaces,Excelassignsto the cell the percentage format that follows the pattern along with the entry. (Example). 3. Date: If we enter a date {dares are values, too) that follows one of the built in excel formats, such as 16-04-2014 or 16Apr-2014 the program assigns a date format that follows the pattern of the date (Example). = 6 Marks Download From: http://www.cbseportal.com
  • 441. 425 ENTREPRENEURSHIP Time allowed : 3 hours Maximum Marks : 70 General Instructions: (i) All the questions are compulsory. (ii) Please check that this Question Paper contains 24 Questions. (iii) Marks for each question are indicated against it. (iv) Questions 1 to 5 are Very Short Answer type carrying 1 mark each. (v) Questions 6 to 10 are Short Answer-I Type questions carrying 2 marks each. (vi) Questions 11 to 17 are Long Answer-I Type question carrying 3 marks each. (vii) Questions 18 to 21 are Long Answer-II Type questions carrying 4 marks each. (viii) Questions 22 to 24 are Essay Answer Type questions carrying 6 marks each. (ix) Answer should be brief and to the point. (x) Please write down the serial number of the Question before attempting it. QUESTION PAPER CODE 98/1 1. Distinguishbetween'SalesTax'and'ExciseDuty'. 1 2. Whatismeantby'Employment'? 1 3. Givethemeaningof'LegalEnvironment.' 1 4. 'Itistheprocessofentrepreneurshipwhichinvolvesthetranslationofausefulidea intoanapplicationwhichhascommercialvalue.'Identifytheprocess. 1 Download From: http://www.cbseportal.com
  • 442. 426 5. RahulwantstostartanamusementparknearVishakhapattanam.Thiswillrequire aninvestment of ` 50 lakhs. Name the financial institution which Rahul should approachforfinancingthisventure. 1 6. State any two points of importance of 'Goal Setting'. 2 7. Givethemeaningof'Routing'and'Scheduling'aselementsofoperationalplan. 2 8. Gaurav started a factory for manufacturing bags for the students of nursery and primary classes. He invested ` 2,00,000 of his own and obtained a loan of `10,00,000 from bank. He made the instruction plan describing the details that were needed for the operation of machines by the workers. Identify and explain the format of 'business plan' described in the above para. 2 9. With its help the consumers are able to identify the products of a firm and are also able to differentiate them from those of the competitors. Identify the concept and state its components. 2 10. Name and define the form of business organization in which the liability ofits membersislimited.Stateonemorefeatureofthisformofbusinessorganization. 2 11. Whatismeantby"ProblemIdentification"?Stateitsanyfourusesandalso give an example. 3 12. After passing his 12th class with entrepreneurship as an elective subject 'Guru' startedhisownbusiness.Heinvested`2,00,000ascapitalwhichwasgiventohim by his father. He obtained a loan of ` 1,00,000 from his elder brother Ravi, who wasworkingasanassistantmanagerinBankofBaroda.Inthefirstyearheincurred a loss of ` 50,000 and had to pay to his suppliers their outstanding bills. This created a financial problem for him and he had to take a loan of ` 1,00,000 from theBankofBarodaonthepersonalguaranteeofhisbrother,Hestarteddoinghard work, lowered the prices and informed his customers about the qualities of goods sold by him. Because of this the sales increased four times and he earned a net profit of ` 75,000 in the second year. Download From: http://www.cbseportal.com
  • 443. 427 (a) Identifytheformofbusinessorganizationstartedby"Guru". (b) Stateanyfivefeaturesofsuchaformofbusinessorganisation. 3 13 State the advantages of 'Good Negotiations'. 3 14. 'For the smooth and orderly functioning of corporate sector in a free market economy, stock exchanges are indispensable because of different roles played by themfordifferentgroups.'Explaintheimportanceofstockexchangetoinvestorsin thelightofthisstatement. 3 15. 'The Fancy Store' a readymade garments retail shop sold 8,000 shirts at ` 400 per shirtduringtheyearended31stMarch,2014.Costofplacinganorderandreceiving goods is ` 2,000 per order. Inventory holding cost is ` 500 per year. Calculate the 'Economic Order Quantity' for 'The Fancy Store'. 3 16. NaveenaftercompletinghisM.TechinNanoTechnologywantedtostarthisown business.Hethoughttomanufacturesophisticatedinstrumentsusedinsurgery.He knewthathisknowledgeofNanoTechnologywillhelphiminmanufacturingthese instruments.According to him such instruments will help the surgeons to operate uponthepatientswithaccuracy,withminimumbloodlossandquickpostoperation recovery.Suchtypesofinstrumentsareusedinadvancedcountriesonlyandthere was a risk in marketing the same. The cost price of machinery required for manufacturingsuchinstrumentswasveryhighandmoreresearchwasrequiredin thisfieldofNanoTechnology.Forseedfunding,Naveenapproached'HimaniCapital Ltd.',whofinancesuchtypesofprojects.'HimaniCapitalsLtd.'afteranalysingthe proposal agreed to provide seed capital to Naveen. Explainthedifferentstagesof'Earlystagefinancing'toseekventurecapitalfinance after the one discussed above. 3 17. 'Pure Neer India Ltd.' is the manufacturers of water purifiers. The company has developedanewwaterpurifierthatnotonlyconvertsthehardwaterintosoftwater but also kills the bacteria and other harmful micro organisms present in it. The company has named this water purifier as 'Nirmal Neer' and for its marketing, Download From: http://www.cbseportal.com
  • 444. 428 appointed,salesmenthroughoutthecountry.Thecompanyalsotrainedthesalesmen to provide information about the usefulness of the 'Nirmal Neer' water purifiers to the customers and motivate them to buy the same. (a) Name and explain the 'type of promotion strategy' adopted by the company. (b) Alsoidentifythechannelofdistributionusedbythecompany. 4 18. 'Information for environmental scanning can be collected from several sources.' State any four such sources. 4 19. After doing her M.Com. from 'Himachal Pradesh University of Shimla', Komal went back to her village in Kinnaur district of Himachal Pradesh. She wanted to contribute for the development of women of her village, so she formed an organization, the membership of which was open for all the women villagers on voluntary basis by paying ` 500 only which will be treated as their capital. Komal knewthatthelandofhervillagewassuitableforthefarmingofmedicinalplants.So she motivated the members of her organizations for growing medicinal plants in theirfieldsundertheguidanceandhelpofthelocalagriculturaldepartment.Itwas also decided that the organization will purchase the produce of each member and sellthesametodrugmanufacturingcompanies,ataverygoodpricewhichwasnot possibleforthemembersindividually.Themainobjectiveoftheorganisationisto render services to its members rather than to earn profit. Acomputertrainingcentreforyoungboysandgirlsofthevillagewasstartedunder theguidanceofKomalfromthesurplusoftheprofits. (a) Name the process that helped Komal in developing an idea into an opportunity. (b) IdentifythekindoforganizationthatwasformedbyKomal. (c) State any two values which Komal wanted to communicate to the society. 4 20. 'Nomy India Ltd.' are the producers of different sizes of televisions. From the information given below, calculate the 'Break-Even Quantity' of the T.V.sets manufacturedpermonth. 4 Download From: http://www.cbseportal.com
  • 445. 429 Informations: Size of T.V. sets Unitsellingprice Unitvariablecost Fixed expenses per month ` ` ` 24" 5,000 2,000 4,000 32" 10,000 7,000 6,000 36" 15,000 12,000 8,000 42" 20,000 14,000 9,000 21. 'Jagriti Ltd' are the manufacturers of Cars for the last 15 years and was earning good profits. Recently, due to the irregular supply of parts by the suppliers the company could not make timely delivery of cars to its customers. The customers cancelled their bookings and there were very few new bookings.As a result the sale of the cars declined and also the profits. The management of the company analysed the problems and decided to take over those two firms because of whom the problems arose. One of them was supplying engines and the other tyres. The companyalsolaunchednewdiscountschemesforitscustomers.Italsodecidedto employ 200 unemployed young boys and girls to take up the cleaning operations usingimportedmachinesinsidethefactoriesaswellasthesurroundingareas. (a) Identifyandstatetheconceptof'EnterpriseMarketingandGrowthStrategies' discussed in the above para. (b) Ideritifyanyonevaluewhich'JagritiLtd'wantedtocommunicatetothesociety. 4 22. 'Theprocessofgenerationofideas'canbestreamlinedbydevelopinganawareness about it and these work as the convenient frames of references for this. (a) Identify the concept stated in the above lines. (b) Explain any three sources of the concept identified which are used by an Entrepreneur. 6 23. Raj Singh has started a restaurant on a National Highway in the name of 'Desi Dhaba' by spending ` 25,00,000. He invested ` 10,00,000 of his own and took a Download From: http://www.cbseportal.com
  • 446. 430 loanof`15,00,000fromDenaBank,@6%perannum.Hismonthlysalesrevenue is ` 17,00,000 and cost of goods sold is ` 9,00,000. He pays monthly salary of ` 3,00,000 to his employees. The tax rate is 25%. You are required to calculate : (a) ReturnonInvestmentand (b) ReturnonEquityforRajSingh. 6 24. RaghavafterdoinghisB.Pharma.degreefromareputedgovernmentcollegestarted twochemistshopsintwodifferentlocalitiesofhishometown.Encouragedwiththe successoftheseshops,hestartedsixmoreshopsindifferentcitiesoftheState.His strategy was to cut price, focus on lower and middle class patients and open shops near hospitals. He operated on very thin margins. But he was not able to maintain sufficient funds to meet the day to day expenses of the business. The staff of the shopsdidnotgivemuchattentiontothecustomersandtherewasverypoorsystem ofcontrol.Becauseofthismismanagementhestartedincurringhugelossesandhis businessfailed. Based on the aboveparaidentifyandexplainanyfourcausesof business failure of Raghav. 6 Download From: http://www.cbseportal.com
  • 447. 431 QUESTION PAPER CODE 98 1. List any two categories of persons that are required to obtain registration from 'CentralExciseDepartment'. 1 2. Distinguishbetweena'JointStockCompany'anda'JointHinduFamilyBusiness' onthebasisof'liabilityofitsmembers'. 1 3. BalwantSinghofBikanerthoughtofair-conditionedhouseswhichdonotrequire electricity.Hewantedtoexploretheideaofconstructionofsucheco-friendlyhouses whichwillremaincoolinsummersandwarminwinters.Heconceivedtheideain 2010butthefinalproductcouldtakeshapein2014.Namethestagein'TheCreative Process' described in the above lines. 1 4. Givethemeaningof'EcologicalEnvironment'. 1 5. GeetaRam,anorangegrowerfromNagpur,wantstostartasmalljuiceproducing factoryusingtheorangesgrownbyhimaswellasbyhisfellowvillagers.Namethe financialinstitutionsheshouldcontactforobtainingloanforstartinghisfactory. 1 6. State any two rules for goal setting. 2 7. Givethe meaningof 'Businesssituationanalysis'and'Identificationofthetargetmarket' as steps in preparing the marketing plan. 2 8. Rahul wants to start a small shoe manufacturing factory.As a part of his business plan he prepared an 'entertaining slide show and oral narrative' that was meant to trigger discussion and create interest in potential investors for reading the written presentation. Identify and explain the format of the business plan referredinthe above paragraph. 2 9. In U.K., they are called 'end lines', 'endlines', or 'straplines'. Germans call them as 'claims',Frenchreferthemas'signatures',whileBelgianscallthem'baselines'.Identify the concept and name its forms, . 2 Download From: http://www.cbseportal.com
  • 448. 432 10. Ashok is engaged in the production of readymade garments using cotton cloth. IdentifythebusinessactivityinwhichAshokisinvolved.Alsonameanddefinethe utilitycreatedbyAshok. 2 11. What is meant. by 'Problem Identification' ? State its any two objectives and also giveanexampleof'ProblemIdentification'. 3 12. Kareem after completing his XII class from his village school joined the course of electricianinanITIinatownnearhisvillage.Oncompletionofthiscoursehetried foragovernmentjobbutcouldnotgetthesame.He,therefore,decidedtoworkas ahelpertoarenownedelectricianofthearea.Afterworkingwithhimfortwoyears he decided to start his own electrician shop in the village. For this he purchased equipments of ` 10,000 and hired a shop at a monthly rent of ` 2,000. He himself managed the shop. (a) Identify the kind of business organisation set up by Kareem. (b) Stateanyfourcharacteristicsoftheidentifiedformofbusinessorganisation. 3 13. State the advantages of 'cost plus' method of pricing. 3 14. 'AngelInvestors'and'VentureCapital'arethetwosourcesofraisingfinanceforan entrepreneur. Explain the concept of both the sources stating one distinguishing feature of each. 3 15. 'The Shop', a readymade garments retail shop, sold 5,000 shirts at ` 200 per shirt during the year ended 31st March, 2014. Cost of placing an order and receiving goods is ` 1,000 per order. Inventory holding cost is ` 250 per year. Calculate the 'Economic Order Quantity' for 'The Shop'. 3 16. Ganga Dhar was working as the production manager in a German company.The companywasproducingremoteoperatedhigh-endkitchenequipments.Heresigned from his job and returned to Patna, his hometown. In Patna he metAditya, his old friend, who had been managing his factory producing steel utensils with old Download From: http://www.cbseportal.com
  • 449. 433 technology.GangaDharencouragedAdityafortheproductionofhigh-endkitchen equipments.HealsopromisedtohelpAdityabyprovidingfundsandhisexpertise so that the production unit run byAditya can develop into a big production house anditsinvestorsmaygethighreturnoninvestments.Identifythekindof'sourceof capital' provided by Ganga Dhar toAditya and explain the same. 3 17. 'HealthyJuiceIndiaLtd.'and'AsliJuiceLtd.'areengagedintheproductionoffruit juice. Both the companies sell the juice in 1,000 ml tetra packs and are in direct competition.Toavoidcompetition,themanagementofboththecompaniesdecided to merge and formed a new company 'Asli Healthy Juice India Ltd.'. The new companydecidedtosellthefruitjuicethroughthecompanyownedoutletsthroughout thecountry. (a) Name and explain the 'Enterprise Growth Strategy'. (b) Alsoidentifythechannelofdistributiondecidedby'AsliHealthyJuiceIndia Ltd.' 3 18. The first step in the creative process is 'Idea Germination'. State the other steps of this process. 4 19. LalitaDevididherpost-graduationfromManipurUniversity,Imphal.Shehadoffers tojoinreputedfirmsinmetropolitancitieslikeDelhiandMumbai.Insteadofjoining any of these firms she decided to do some creative work in Imphal. She observed that a special type of chilli is grown by the farmers of most of the villages around Imphal.Thischillihasadistinctflavourandthepicklemadefromithasatastethat may be liked by many people in other parts of the country. But the farmers were neither trained in the farming of this kind of chilli on a large scale nor was there a securedmarketfortheirproduce.LalitaDevimeteighteenlike-mindedwomenof theareaandformedanorganizationfordoingthebusinessofpicklemanufacturing. Eachofthemcontributed`2,00,000towardsitscapitalandwereequallyresponsible for its management. On one hand they assured the farmers to purchase the chilli Download From: http://www.cbseportal.com
  • 450. 434 producedbythemandontheotherhand,theorganizationwiththehelpofthelocal agriculturedepartmentarrangedforthetrainingofthefarmers.Theyalsoemployed 10 local unemployed graduate girls for doing the various operations of pickle manufacturing. (a) Name the process that helped Lalita Devi in 'converting an idea into an opportunity'. (b) Identify the kind of organization that Lalita Devi had decided to set up. (c) State any two values which Lalita Devi wants to communicate to the society. 4 20. 'GoodWashLtd.'arethemanufacturers'ofdifferentsizesoffullyautomaticwashing machinesmarkedas'small','medium','large'and'industrial'.Fromtheinformation givenbelow,calculatethe'Break-EvenQuantity'ofthemachinesmanufacturedper month. 4 Information: Machine UnitSelling UnitVariable FixedExpenditure Price Cost Per Month ` ` ` Small 10,000 3,000 35,000 Medium 15,000 8,000 35,000 Large 20,000 13,000 70,000 Industrial 35,000 20,000 1,50,000 21. 'Sultan Trucks Ltd.' are the manufacturers of commercial trucks for the last 20 years. The company had been doing good business but recently due to irregular supply of parts by its suppliers, the company could not make timely delivery of trucks to the parties who had booked their trucks. The customers cancelled their Download From: http://www.cbseportal.com
  • 451. 435 bookingsandtherewereveryfewnewbookings.Thesalesofthecompanystarted declining that resulted into losses. The management of the company analyzed the problem and decided to take over those two firms because of whom the problem arose, one of them was supplying tyres for its trucks and another axles to the company.Thecompanyalsoextendedcreditfacilitiestothecustomersandstarted bookingthetruckswithoutcharginganybookingamount.Italsodecidedtoemploy 100 unemployed youth, with 50% reservation for females to take up the cleaning operations,usingtheimportedmachines,insidethefactoriesaswellasthesurrounding areas. (a) Identifyandstatetheconceptsof'EnterpriseMarketingandGrowthStrategies' discussed in the above paragraph. (b) Identifyanyonevaluewhich'SultanTrucksLtd.'wantstocommunicatetothe society. 4 22. 'One of the keys to business success is to anticipate what the market will want or need.' Since it is not possible for an entrepreneur to see into the future, there is one best way. This 'best way' will help the entrepreneur to understand the market and produce goods or provide services accordingly. (a) Identify the concept discussed in the above lines. (b) Explainanythreeways in which an entrepreneur can perform the activities related to the concept identified. 6 23. Karan has started a restaurant on National Highway No.1 in the name of 'Apana Dhaba' by spending ` 20,00,000. He invested ` 8,00,000 of his own and took a loan of ` 12,00,000 from SBI at the rate of 6% per annum. His monthly sales revenue is ` 12,00,000 and the cost of goods sold is ` 7,00,000. He pays monthly salaries of ` 2,00,000 to his employees. The rate of tax is 25%. You are required to calculate the following for Karan : (a) ReturnonInvestment (b) ReturnonEquity 6 Download From: http://www.cbseportal.com
  • 452. 436 24. Satnam,anIIT-IIMgraduate,startedthreechemistsshopsatAmritsar,Patialaand Chandigarh in the name of 'Quality Medicines'. Encouraged with the success of theseshopsSatnamopened50moreshopsindifferentpartsofPunjab.Hisstrategy was to cut price, focus on lower and upper middle class and open shops near hospitals.Heoperatedonverythinmargins.Buthewasnotabletomaintainsufficient funds to meet the day-to-day expenses of the business. The staff at the shops did notgivemuchattentiontothecustomersandtherewasverypoorsystemofcontrol. Because of this mismanagement he started incurring huge losses and his business failed. Based on the above paragraph, identify and explain any four causes of business failureofSatnam. 6 Download From: http://www.cbseportal.com
  • 453. 437 Marking Scheme — Entrepreneurship General Instructions 1. The marking scheme carries only suggested value points for the answers. These are only guidelines and do not constitute the complete answer.The students can have their own expression and if the expression is correct, marks will be awarded accordingly. 2. Someofthequestionsmayrelatetohigherorderthinkingability.Thesequestionsaretobe evaluatedcarefullyandstudent'sunderstanding/analyticalabilitymaybejudged. 3. Evaluation is to be done as per instructions provided in the Marking Scheme. 4. If a question has parts, please award marks in the right hand side for each part. Marks awardedfordifferentpartsofthequestionshouldthenbetotaledupandwrittenintheleft handmargin. 5. If a question does not have any part, marks be awarded in the left hand margin. 6. Ifacandidatehasattemptedaquestiontwice,thefirstanswertobemarkedandcorrected. 7. Therearefewquestionsondistinctionbetweentwoconcepts.Marksshouldbegivenonly ifthedistinctionisclearlygivenandiscorrect. 8. Incaseofchoicetypequestion,ifanexamineeattemptsboththechoices,firstansweronly should be assessed. 9. In a question, if two features/characteristics/points are asked, marks should be awarded forthefirsttwopointswritten. 10. ItisexpectedthattheMarkingSchemeshouldbefollowedobjectivelytoavoidoverstrict tendencyinmarking. 11. Marks should be awarded keeping in view the total marks of that particular question and not the total marks of the question paper. 12. A full scale of marks 0-70 has to be used. Please do not hesitate to award full marks if the answerdeservesit.Similarly,whereveranexamineewritesansweruptothemark,his/her marks should not be deducted unnecessarily. 13. AnswerscriptswritteninEnglishshouldbeevaluatedbytheexaminersteachinginEnglish andanswerscriptswritteninHindishouldbeevaluatedbytheexaminersteachinginHindi. Download From: http://www.cbseportal.com
  • 454. 438 QUESTION PAPER CODE 98/1 EXPECTEDANSWERS/VALUE POINTS Q.1 Distinguish between 'Sales Tax' and 'Excise Duty'. 1 Ans Sales tax is levied on the sale of the commodity which is sold for the first time. Excise duty is a tax on manufacture/ production or import of goods. Note: 1 mark for correct difference Q.2 What is meant by 'Employment' ? 1 Ans Anactivityinwhichanindividualworksregularlyforothersandgetsremuneration inreturn. Q.3 Give the meaning of 'Legal Environment.' 1 Ans It covers all such areas such as taxation, employment, law monopoly, legislation andenvironmentalprotectionlaws. 14. IncompliancetothejudgmentoftheHon'bleSupremeCourtofIndia,Boardhasdecided to provide photocopy of the answer book(s) to the candidates who will apply for it along withtherequisitefeefrom2012examination.Therefore,itisallthemoreimportantthatthe evaluation is done strictly as per the value points given in the marking scheme so that the Board is in a position to defend the evaluation at any forum. 15. Inthelightoftheabovejudgmentinstructionshavebeenincorporatedintheguidelinesfor center superintendents to ensure that the answer books of all the appeared candidates havebeensenttotheBoard'soffice.Theexaminershavetocertifythattheyevaluatedthe answerbooksstrictlyinaccordancewiththevaluepointsgiveninthemarkingscheme. 16. Everyexaminershouldstayuptosufficientlyreasonabletime,normally5-6hourseveryday and evaluate 20-25 answer books. 17. EveryexaminershouldacquaintthemselveswiththeguidelinesgivenintheGuidelinesfor SpotEvaluationbeforestartingactualevaluation. Everyexaminershouldacquaintthemselveswiththemarkingschemesofallthesets. Download From: http://www.cbseportal.com
  • 455. 439 Q.4 'It is the process of entrepreneurship which involves the translation of a useful idea into an application which has commercial value.' Identify the process. 1 Ans Innovation. Note:Incaseanexamineehasmentioned"Sensingofentrepreneurialopportunities" ½ mark may be given. Q.5 Rahul wants to start an amusement park near Vishakhapattanam. This will require an investment of ` 50 lakhs. Name the financial institution which Rahul should approach for financing this venture. 1 Ans Tourism Finance Corporation of India (TFCI) Q.6 State any two points of importance of 'Goal Setting'. 1+1=2 Ans Writeanytwo points: 1. It is an important exercise for ensuring the appropriate performance 2. Itensuresclarityofvisionandalignmenttotheorganisationalgoals. 3. It allows us to be proactive instead of being reactive Q.7 Give the meaning of 'Routing' and 'Scheduling' as elements of operational plan. 1+1=2 Ans Routing is a process concerned with determining exact route or path a product/ service has to follow right from raw material till its transformation into finished product. Scheduling means fixation of time, date, day when each operation is to be commenced and completed. Q.8 Gaurav started a factory for manufacturing bags for the students of nursery and primary classes. He invested ` 2,00,000 of his own and obtained a loan of ` 10,00,000 from bank. He made the instruction plan describing the details that were needed for the operation of machines by the workers. Download From: http://www.cbseportal.com
  • 456. 440 Identify and explain the format of 'business plan' described in the above para. 1+1=2 Ans a. InternalOperationalplan b. Adetailedplandescribingplanningdetailsthatarerequiredbymanagement but may not be of interest to external stakeholders. Note: In case if the examinee has not written as internal operational plan but only operational plan then ½ mark should be awarded and ½ mark for explanation Q.9 With its help the consumers are able to identify the products of a firm and are also able to differentiate them from those of the competitors. Identify the concept and state its components. ½+1½=2 Ans (a) Brand. (b) Ithasthefollowingcomponents- brand name; brand mark; trade mark. Q.10 Name and define the form of business organization in which the liability of its members is limited. State one more feature of this form of business organization. 1+½+½=2 Ans (a) Joint stock company. (b) It is an association of persons who contribute money in the shape of shares and the company gets a legal entity and enjoys a permanent existence. (c) Ithasthefollowingfeatures:(Anyone) voluntaryassociation;artificialperson;separatelegalentity;commonseal;limited liability;transferabilityofshares;diffusionofownershipandmanagement;number ofmembers;limitationofaction;windingup. Note: In case the examinee has given co-operative society or name of any other bodycorporatewithlimitedliabilityofitsmembersthendueweightageshouldbe given. Download From: http://www.cbseportal.com
  • 457. 441 Q.11 What is meant by "Problem Identification" ? State its any four uses and also give an example. ½+2+½=3 Ans (a) Aproblemisaroadblockinasituation,somethingthatsetsupaconflictand forcesyoutofindasolution. (b) Ithasthefollowinguses:(Anyfour) Bring out new products in the market; understand the problems and needs of the market;becreative;increaseemploymentgeneration;increasenationalincome (c) Example: ready to eat foods for the younger career oriented generation (or anyothersuitableexample) Q.12 After passing his 12th class with entrepreneurship as an elective subject 'Guru' started his own business. He invested ` 2,00,000 as capital which was given to him by his father. He obtained a loan of ` 1,00,000 from his elder brother Ravi, who was working as an assistant manager in Bank of Baroda. In the first year he incurred a loss of ` 50,000 and had to pay to his suppliers their outstanding bills. This created a financial problem for him and he had to take a loan of ` 1,00,000 from the Bank of Baroda on the personal guarantee of his brother, He started doing hard work, lowered the prices and informed his customers about the qualities of goods sold by him. Because of this the sales increased four times and he earned a net profit of ` 75,000 in the second year. (a) Identify the form of business organization started by "Guru". (b) State any five features of such a form of business organisation. ½+2+½=3 Ans (a) Soleproprietorship (b) Thefollowingarethefeaturesforsoleproprietorship: (Any five features in statement form) individualownership;individualmanagementandcontrol; individualfinancing;noseparatelegalentity;unlimitedliability; solebeneficiary;easyformationandclosure;limitedareaofoperation. Download From: http://www.cbseportal.com
  • 458. 442 Q.13 State the advantages of 'Good Negotiations'. 1+1+1=3 Ans 1. Helpsinbuildingbetterrelationships 2. Deliverslasting,qualitysolutions-ratherthanpoorshort-termsolutionsthat do not satisfy the needs of either party 3. Helpsinavoidingfutureproblemsandconflicts Q.14 'For the smooth and orderly functioning of corporate sector in a free market economy, stock exchanges are indispensable because of different roles played by them for different groups.' Explain the importance of stock exchange to investors in the light of this statement. 1×3=3 Ans Importance of stock exchange to investors : (any three points) 1. Dissemination of useful Information : Stock exchange publishes useful information regarding price lists, quotations, etc., of securities through newspapersandjournals.Theinterestedpersonsbuyandselltheirsecurities on the basis of information provided by the stock exchanges. 2. Ready Market: Persons desirous of converting their shares in to cash may easily do so through a member of stock exchange. 3. Investors' Interests Protected: Stock exchanges formulate rules and regulationssothatmembersmaynotexploittheinvestors. 4. Genuine Guidance about the Securities Listed: The investors can safely depend upon the information provided by the stock exchanges. 5. Barriers of Distance Removed: Stock exchange removes the barriers of distance in regard to securities listed there. Without stock exchange the securitiesofaDelhicompanymayhavealimitedmarketinDelhionly. 6. Knowledge of Profit or loss on Investments: The investors can estimate theprofitorlossonthetotalamountofinvestmentsinsecurities,bycomparing theoriginalamountinvestedandthepriceofsecuritiesonaparticularday. Note: ln case the candidate has written just the heading without the explanation then ½ mark will be awarded. Download From: http://www.cbseportal.com
  • 459. 443 Q.15 'The Fancy Store' a readymade garments retail shop sold 8,000 shirts at ` 400 per shirt during the year ended 31st March, 2014. Cost of placing an order and receiving goods is ` 2,000 per order. Inventory holding cost is ` 500 peryear. Calculate the 'Economic OrderQuantity' for 'The Fancy Store'. 1+1½+½=3 Ans EconomicOrderingQuantityFormula = C PD2 = 500 800020002 ×× = 64000 Ans = 252.98 units (253) Note: 1 mark for the formula; 1½ marks for calculations and ½ for the correct answer Q.16 Naveen after completing his M. Tech in Nano Technology wanted to start hisownbusiness.Hethoughttomanufacturesophisticatedinstrumentsused in surgery. He knew that his knowledge of NanoTechnology will help him in manufacturing these instruments.According to him such instruments will helpthesurgeonstooperateuponthepatientswithaccuracy,withminimum blood loss and quick post operation recovery; Such types of instruments are used in advanced countries only and there was a risk in marketing the same. The cost price of machinery required, for manufacturing such instruments was very high and more research was required in this field of Nano Technology. For seed funding, Naveen approached 'Himani Capital Ltd.' who finance such types of projects. 'Himani Capitals Ltd.' after analysing the proposal agreed to provide seed capital to Naveen. Explain the different stages of 'Early stage financing' to seek venture capital finance after the one discussed above. 1½+1½=3 Download From: http://www.cbseportal.com
  • 460. 444 Ans (a) Pre-start up and start up finance : Abusiness plan is presented by the entrepreneur to the VC firm.Amanagement team is being formed to run the venture. If the company has a board of directors, a person from the VC firms will take seats at the board of directors. The VC firm monitors the feasibility of the product and the capability of the management-team from the board of directors. (b) Second round financing This is the first encounter with the rest of the market. The entrepreneur, at this stage, needs assistance from the Venture Capitalist for expansion, modernization, diversification so that the economies of scale and stability could be attained. Q.17 'PureNeerIndiaLtd.'isthemanufacturersofwaterpurifiers.Thecompany has developed a new water purifier that not only converts the hard water into soft water but also kills the bacteria and other harmful micro organisms present in it. The company has named this water purifier as 'Nirmal Neer' and for its marketing, appointed salesmen throughout the country. The company also trained the salesmen to provide information about the usefulness of the 'Nirmal Neer' water purifiers to the customers and motivate them to buy the same. (a) Name and explain the 'type of promotion strategy' adopted by the company. (b) Also identify the channel of distribution used by the company. 1+1+1=3 Ans (a) Personalselling. Itmeanssellingproductspersonally.Itinvolvesoralpresentationofmessageinthe form of conversation with one or more prospective customers with the purpose of makingsales. (b) Directchannel/zerolevelofdistribution 18. 'Information for environmental scanning can be collected from several sources.' State any four such sources. 1+1+1+1=4 Download From: http://www.cbseportal.com
  • 461. 445 Ans (Anyfour) 1. Verbalinformationfromcustomers,wholesalers,retailers, distributors,consultants.,etc; 2. records of companies; 3. governmentpublications; 4. publicationsbyvariousfinancialinstitutions;and 5. formalstudiesconductedbystrategicplanner Q.19 After doing her M.Com. from 'Himachal Pradesh University of Shimla', Komal went back to her village in Kinnaur district of Himachal Pradesh. She wanted to contribute for the development of women of her village, so she formed an organization, the membership of which was open for all the womenvillagersonvoluntarybasisbypaying` 500onlywhichwillbetreated as their capital. Komal knew that the land of her village was suitable for the farming of medicinal plants. So she motivated the members of her organizationsforgrowingmedicinalplantsintheirfieldsundertheguidance and help of the local agricultural department. It was also decided that the organization will purchase the produce of each member and sell the same to drug manufacturing companies, at a very good price which was not possible for the members individually. The main objective of the organisation is to render services to its members rather than to earn profit. Acomputertrainingcentreforyoungboysandgirlsofthevillagewasstarted under the guidance of Komal from the surplus of the profits. (a) Name the process that helped Komal in developing an idea into an opportunity. (b) Identify the kind of organization that was formed by Komal. (c) State any two values which Komal wanted to communicate to the society. 1+1+2=4 Download From: http://www.cbseportal.com
  • 462. 446 Ans (a) Sensingentrepreneurialopportunities (b) Co-operativesocietyformofbusinessorganisation (c) Any two values: Courtesy; fostering respect for differences; sensitivity to environment; good behaviour in human interaction; sharing, compassion, empathy; discipline; responsibility; respect for law and order; conflict resolution; team work; honesty andintegrity (or any other two correct values) Q.20 'Nomy India Ltd.' are the producers of different sizes of televisions. From the information given below, calculate the 'Break-Even Quantity' of the T.V. sets manufactured permonth. 1×4=4 Informations: Size of T.V. sets Unit selling price Unit variable cost Fixed expenses per month ` ` ` 24" 5,000 2,000 4,000 32" 10,000 7,000 6,000 36" 15,000 12,000 8,000 42" 20,000 14,000 9,000 Ans Formula for break even point = marginGross expensesFixed Gross margin = Selling price per unit -Variable cost per unit Size Selling Variable Gross Fixed BEP- In Price cost margin cost calculation units 24 5000 2000 3000 4000 4000/3000 1.33 32 10000 7000 3000 6000 6000/3000 2 36 15000 12000 3000 8000 8000/3000 2.66 42 20000 14000 6000 9000 9000/6000 1.5 Note: 1 mark for each horizontal calculation. Download From: http://www.cbseportal.com
  • 463. 447 Q.21 'Jagriti Ltd' are the manufacturers of Cars for the last 15 years and was earning good profits. Recently, due to the irregular supply of parts by the suppliers the company could not make timely delivery of cars to its customers. The customers cancelled their bookings and there were very few new bookings. As a result the sale of the cars declined and also the profits.Themanagementofthecompanyanalysedtheproblemsanddecided to take over those two firms because of whom the problems arose. One of them was supplying engines and the other tyres. The company also launched new discount schemes for its customers. It also decided to employ 200 unemployed young boys and girls to take up the cleaning operations using imported machines inside the factories as well as the surrounding areas. (a) Identify and state the concept of 'Enterprise Marketing and Growth Strategies' discussed in the above para. (b) Ideritifyanyonevaluewhich'JagritiLtd'wantedtocommunicatetothe 1½+1½+ society. 1=4 Ans (a) Concept for enterprise marketing - Sales promotion Concept for growth strategy - Acquisition (Appropriate explanation required for both concepts) (b) (Any one appropriate value) Job opportunity for youth; equal opportunities for both men and women; care for environmentalcleanliness. Note: ½ mark for identifying the concept; 1 mark each for the explanation of the concept; 1 mark for value Q.22 'The process of generation of ideas' can be streamlined by developing an awareness about it and these work as the convenient frames of references for this. (a) Identify the concept stated in the above lines. (b) Explain any three sources of the concept identified which are used 1½+4½+ by an Entrepreneur. = 6 Download From: http://www.cbseportal.com
  • 464. 448 Ans (a) Ideafields (b) (Anythree) (1) Natural resources: ldeas can be generated based on natural resources.A product or service may be desired from forest resources, agriculture, horticulture,mineral,animalhusbandry,wind,sun,andhumanresource. (2) Existing products or service:Abusiness opportunity or idea often comes fromeverydayproblemsthatsomeonesolves.Successful businessesfinda needandfillitbyprovidingaserviceorproduct.Entrepreneurswholookat ways to make an existing product or service better can be as successful as those who create or invent products. (3) MarketdrivenordemanddrivenMarketresearchisanyorganizedeffort to gather information about target markets or customers. Ideas can be generated based on existing demand in the market. It is a very important componentofbusinessstrategy. (4) Trading related: Trade is buying goods and services and selling them to consumersataprofit.Onebigadvantagethattradinghasoverothertypesof businessesisthatitiseasiertolaunchandlessrisky.Itishowever,necessary for a prospective trader to be aware of the trends in an economy. (5) Service sector: Service sector is the most growing fields these days due to emergingknowledgesocietiesandadvancesinInformationandTechnology. So new opportunities can be identified by understanding the linkages to differentbusinessactivities. (6) Creative efforts: There are basically five ways in which creative ideas can begenerated: 1. Develop a new product or service. 2. Improveanexistingproductorservice. 3. Find a new process or resource for manufacturing a product. 4. Find new markets for existing products or services. 5. Find a new use for a product or service. Download From: http://www.cbseportal.com
  • 465. 449 Q.23 Raj Singh has started a restaurant on a National Highway in the name of 'Desi Dhaba' by spending ` 25,00,000. He invested ` 10,00,000 of his own and took a loan of ` 15,00,000 from Dena Bank, @ 6% per annum. His monthly sales revenue is ` 17,00,000 and cost of goods sold is ` 9,00,000. He pays monthly salary of ` 3,00,000 to his employees. The tax rate is 25%. You are required to calculate : (a) Return on Investment and (b) Return on Equity for Raj Singh. 3+3=6 Ans OptionA(onannualbasis) FormulaforcalculatingReturnonInvestment= Net profit after tax × 100 OR Net profit before Interest and tax × 100 TotalCapitalInvested Total Capital Invested Calculation Equity 10,00,000 Debt 15,00,000 Capitalinvested 25,00,000 Sales revenue (17,00,000 2,04,00,000 × 12) Less: cost of goods sold 1,08,00,000 (9,00,000 × 12) GrossProfit 96,00,000 96,00,000 Less: fixed expenses 36,00,000 (3,00,000 × 12) Loan 90,000 (15,00,000 × 6/100) 36,90,000 36,90,000 Download From: http://www.cbseportal.com
  • 466. 450 Net profit before tax 59,10,000 Less: Tax 25% 14,77,500 Net profit after tax 44,32,500 ROI = Net Profit after tax/Total Capital Invested × 100 = 44,32,500/25,00,000 x 100 = 177.3% OR ROI = Net Profit before Interest and tax/Total Capital Invested x 100 = 59,10,000 + 90,000/25,00,000 x 100 = 60,00,000/25,00,000 x 100 = 240% Option B (on monthly basis) Calculation Equity 10,00,000 Debt 15,00,000 Capitalinvested 25,00,000 Salesrevenue 17,00,000 Less: cost of goods sold 9,00,000 GrossProfit 8,00,000 8,00,000 Less: fixed expenses 3,00,000 Salaries Loan 7,500 (15,00,000 × 6/100 = 90,000 × 1/12 ) Download From: http://www.cbseportal.com
  • 467. 451 3,07,500 3,07,500 Net profit before tax 4,92,500 Less: Tax 25% 1,23,125 Net profit after tax 3,69,375 ROI = Net Profit after tax /capital employed x 100 = 3,69,375/25,00,000 × 100 = 14.77% OR ROI = Net profit before interest and tax/Capital employed x 100 = 4,92,500 + 7,500/25,00,000 × 100 = 5,00,000/25,00,000 × 100 = 20% Return On Equity Formula = Earnings after tax / Equity x 100 44,32,500/10,00,000 x 100 = 443.25% Note: In case the examinee has calculated ROI on annual basis - OptionA is the answer and in case the examinee has calculated on monthly basis Option B will be the answer. Q.24 Raghav after doing his B. Pharma. degree from a reputed government college started two chemist shops in two different localities of his home town. Encouraged with the success of these shops, he started six more shops in different cities of the State. His strategy was to cut price, focus on lower and middle class patients and open shops near hospitals. He operated on Download From: http://www.cbseportal.com
  • 468. 452 very thin margins. But he was not able to maintain sufficient funds to meet the day to day expenses of the business. The staff of the shops did not give much attention to the customers and there was very poor system of control. Because of this mismanagement he started incurring huge losses and his business failed. Based on the above para identify and explain any four causes of business failure of Raghav. 1½×4=6 Ans CausesofbusinessfailureofRaghav:(four) 1. Lack of adequate cash flow: Many small businesses fail because owners haveadifficulttimeprojectingwhatcashwillcomeineverymonth,andthus, howmuchcangoout.Raghavfailedtoestimatethecorrectexpensewhichis required to run the business on a daily basis. 2. Management incompetence: Raghav worked on very thin margins which led to huge losses as well as he did not have control over his staff. 3. Diminished customer base: Raghav did not keep a track of his customer base. Competition can cause the customer base to diminish. 4. Poor system of control: Raghav could not have proper internal control overactivitieswhichledtothefailureofhisbusiness. (Note: or any other relevant point) Download From: http://www.cbseportal.com
  • 469. 453 QUESTION PAPER CODE 98/1 EXPECTEDANSWERS/VALUE POINTS Q.1 List any two categories of persons that are required to obtain registration from 'Central Excise Department'. ½+½=1 Ans (AnyTwo) 1. Everymanufacturerofdutiableexcisablegoods. 2. First and second stage dealers or importers desiring to issue Cenvatable invoices. 3. Persons holding bonded warehouses for storing non-duty paid goods. 4. Persons who obtain excisable goods for availing end-use based exemption. Q.2 Distinguish between a 'Joint Stock Company' and a 'Joint Hindu Family Business' on the basis of 'liability of its members'. 1 Ans IncaseofaJointStockCompanytheliabilityofmembersislimitedwhereasincase ofHUFliabilityofkartaisunlimitedandthatofothermembersislimited. Q.3 Balwant Singh of Bikaner thought of air-conditioned houses which do not require electricity. He wanted to explore the idea of construction of such eco-friendlyhouseswhichwillremaincoolinsummersandwarminwinters. He conceived the idea in 2010 but the final product could take shape in 2014. Name the stage in 'The Creative Process' described in the above lines. 1 Ans Ideagermination. Q.4 Give the meaning of 'Ecological Environment'. 1 Ans It considers the ways in which the organisation can produce it's, goods or services withminimumenvironmentaldamage. Q.5 Geeta Ram, an orange grower from Nagpur, wants to start a small juice producing factory using the oranges grown by him as well as by his fellow villagers. Name the financial institutions he should contact for obtaining loan for starting his factory. 1 Download From: http://www.cbseportal.com
  • 470. 454 Ans NationalBankforAgriculturalandRuralDevelopment(NABARD). Q.6 State any two rules for 'Goal setting'. 1+1=2 Ans Rulesforgoalsetting:(Anytwo) 1. Business goals need to be relevant. 2. Business goals need to be actionable. 3. Business goals need to be achievable stretches. Q.7 Give the meaning of 'Business situation analysis' and 'Identification of the targetmarket' as steps in preparing the marketing plan. 1+1=2 Ans Businesssituationanalysisisareviewofpastperformanceandachievementsofthe enterprise Identifying the target market- it defines clearly the specific group of potential customerswhoneedtheenterpriseaimstofulfil. Q.8 Rahul wants to start a small shoe manufacturing factory. As a part of his business plan he prepared an 'entertaining slide show and oral narrative' thatwasmeanttotriggerdiscussionandcreateinterestinpotentialinvestors for reading the written presentation. Identify and explain the format of the business plan referred in the above paragraph. 1+1=2 Ans Pitch deck with oral narrative- it is an executive summary and a few key graphs showingfinancialtrendsandkeydecisionmakingbenchmark. Q.9 In U.K., they are called 'end lines', 'endlines', or 'straplines'. Germans call them as 'claims', French refer them as 'signatures', while Belgians call them 'base lines'. Identify the concept and name its forms, . ½+1½=2 Ans (a) Taglines. (b) lt'svariousformsare: questions,statementsandexclamations. Q.10 Ashok is engaged in the production of readymade garments using cotton cloth. Identify the business activity in which Ashok is involved.Also name and define the utility created byAshok. 1+1=2 Download From: http://www.cbseportal.com
  • 471. 455 Ans Formutility Changingtheformofrawmaterialintofinishedproductscreatesformutility. Q.11 What is meant by 'Problem Identification' ? State its any two objectives and also give an example of 'Problem Identification'. 1+1+1=3 Ans Aproblemisaroadblockinasituation,somethingthatsetsupaconflictandforces youtofindasolution. Objectives:- (any two) 1. It should clearly state the problem. 2. Identifytargetgroupfacingtheproblem. 3. Identifythemarketacceptabilityofsolutiontotheproduct. Example: Ready to eat foods for the younger career oriented generation. (oranyothersuitableexample) Q.12 Kareem after completing his XII class from his village school joined the course of electrician in an ITI in a town near his village. On completion of this course he tried for a government job but could not get the same. He, therefore, decided to work as a helper to a renowned electrician of the area. After working with him for two years he decided to start his own electrician shop in the village. For this he purchased equipments of ` 10,000 and hired a shop at a monthly rent of ` 2,000. He himself managed the shop. (a) Identify the kind of business organisation set up by Kareem. (b) State any four characteristics of the identified form of business 1+2 organisation. (½×4)=3 Ans (a) Soleproprietorship. (b) (anyfourcharacteristicsinstatementform) Individualownership;individualmanagementandcontrol;individualfinancing; noseparatelegalentity;unlimitedliability;solebeneficiary;easyformation andclosure;limitedareaofoperation. Download From: http://www.cbseportal.com
  • 472. 456 Q.13 State the advantages of 'cost plus' method of pricing. 1+1+1=3 Ans 1. Exactamountofexpenditureisknown. 2. Itisthesimplestmethod. 3. Correctiveactionstakeneasily. Q.14 'AngelInvestors'and'VentureCapital'arethetwosourcesofraisingfinance for an entrepreneur. Explain the concept of both the sources stating one distinguishing feature of each. 1+1+1=3 Ans Angelinvestor-isanaffluentindividualwhoprovidescapitalforaBusinessstart- upsandearlystagecompaniesusingahigh-risk,high-returnmatrixusuallyinexchange for convertible debt or ownership equity. Venture capital- is a type of a private equity capital provided as seed funding to earlystage,highpotential,highrisk,growthofcompanies/entrepreneurs. Distinguishing feature: Angel investors participate in the management of the businessbutventurecapitalistsdonottakepartinthemanagementofthebusiness. Q.15 'The Shop', a readymade garments retail shop, sold 5,000 shirts at ` 200 per shirt during the year ended 31st March, 2014. Cost of placing an order and receiving goods is ` 1,000 per order. Inventory holding cost is ` 250 per year. Calculate the 'Economic Order Quantity' for 'The Shop'. 1+1½+½=3 Ans EconomicOrderingQuantityFormula Q = C PD2 = 250 500010002 ×× = 40000 Ans = 200 units Note: 1 mark for the formula; 1½ marks for calculations and ½ for the correct answer Download From: http://www.cbseportal.com
  • 473. 457 Q.16 GangaDharwasworkingastheproductionmanagerinaGermancompany. Thecompanywasproducingremoteoperatedhigh-endkitchenequipments. He resigned from his job and returned to Patna, his hometown. In Patna he met Aditya, his old friend, who had been managing his factory producing steel utensils with old technology. Ganga Dhar encouraged Aditya for the productionofhigh-endkitchenequipments.HealsopromisedtohelpAditya byprovidingfundsandhisexpertisesothattheproductionunitrunbyAditya candevelopintoabigproductionhouseanditsinvestorsmaygethighreturn on investments. Identify the kind of 'source of capital' provided by Ganga Dhar toAditya and explain the same. 1+2=3 Ans Angelinvestors. Features (Any two) 1. They are current or retired executives, business owners or high net worth individualswhohavetheknowledge,experience,andfunds. 2. Theybearextremelyhighriskandexpectaveryhighreturn. 3. Theyprovideproactiveadvice,guidanceindustryconnectionsandmentoring start-ups in its early days. 4. Their objective is to create great companies by providing value creation. 5. They have a sharp inclination to keep abreast of current developments in a particularbusinessarena. Q.17 'HealthyJuiceIndiaLtd.'and'AsliJuiceLtd.'areengagedintheproduction of fruit juice. Both the companies sell the juice in 1,000 ml tetra packs and are in direct competition. To avoid competition, the management of both the companies decided to merge and formed a new company 'Asli Healthy Juice India Ltd.'. The new company decided to sell the fruit juice through the company owned outlets throughout the country. Download From: http://www.cbseportal.com
  • 474. 458 (a) Name and explain the 'Enterprise Growth Strategy'. (b) Also identify the channel of distribution decided by 'Asli Healthy Juice IndiaLtd.' 1+1+1=3 Ans (a) Horizontalmerger. Itisamergerbetweencompaniesinthesameindustry.Itisabusinessconsolidation that occurs between firms which operate in the same space often as competitors offering the same goods and services. (b) Direct/zerolevelofdistributionchannel. Q.18 The first step in the creative process is 'Idea Germination'. State the other steps of this process. 1×4=4 Ans 1. Preparation- on the basis of the idea, interest and curiosity an entrepreneur starts looking for an answer to implement the idea. 2. Incubation-thisisansub-consciousassimilationofinformation. 3. Illumination-theidearesurfacesinarealisticwayintheformofaviableplan. 4. Verification-theideaisverifiedtoprovethatithasvalue. Q.19 Lalita Devi did her post-graduation from ManipurUniversity, Imphal. She hadofferstojoinreputedfirmsinmetropolitancitieslikeDelhiandMumbai. Instead of joining any of these firms she decided to do some creative work in Imphal. She observed that a special type of chilli is grown by the farmers of most of the villages around Imphal. This chilli has a distinct flavour and the pickle made from it has a taste that may be liked by many people in otherpartsofthecountry.Butthefarmerswereneithertrainedinthefarming of this kind of chilli on a large scale nor was there a secured market for their produce. Lalita Devi met eighteen like-minded women of the area and formedanorganizationfordoingthebusinessofpicklemanufacturing.Each of them contributed ` 2,00,000 towards its capital and were equally responsible for its management. On one hand they assured the farmers to Download From: http://www.cbseportal.com
  • 475. 459 purchasethechilliproducedbythemandontheotherhand,theorganization with the help of the local agriculture department arranged for the training of the farmers. They also employed 10 local unemployed graduate girls for doing the various operations of pickle manufacturing. (a) Name the process that helped Lalita Devi in 'converting an idea into anopportunity'. (b) Identify the kind of organization that Lalita Devi had decided to set up. (c) State any two values which Lalita Devi wants to communicate to the society. 1+1+2=4 Ans (a) Sensingentrepreneurialopportunities. (b) Partnershipformofbusinessorganisation. (c) Values:(anytwo) Courtesy; fostering respect for differences; sensitivity to environment; good behaviour in human interaction; sharing, compassion, empathy; discipline; responsibility; respect for law and order; conflict resolution; team work; honesty andintegrity. (oranyotherrelevantvalue) Q.20 'Good Wash Ltd.' are the manufacturers of different sizes of fully automatic washingmachinesmarkedas'small','medium','large'and'industrial'.From the information given below, calculate the 'Break-Even Quantity' of the machines manufactured per month. l×4=4 Information: Machine Unit Selling UnitVariable Fixed Expenditure Small 10,000 3,000 35,000 Medium 15,000 8,000 35,000 Download From: http://www.cbseportal.com
  • 476. 460 Large 20,000 13,000 70,000 Industrial 35,000 20,000 1,50,000 Ans Formula for break-even point = Fixedexpenses Grossmargin Gross Margin = selling price per unit - variable cost per unit Machine Selling Variable Gross Fixed BEP- In Price cost margin cost calculation units Small 10000 3000 7000 35000 35000/7000 5 Medium 15000 8000 7000 35000 35000/7000 5 Large 20000 13000 7000 70000 70000/7000 10 Industrial 35000 20000 15000 150000 150000/15000 10 Note: 1 mark for each horizontal calculation. Q.21 'Sultan Trucks Ltd.' are the manufacturers of commercial trucks for the last 20 years. The company had been doing good business but recently due to irregular supply of parts by its suppliers, the company could not make timely delivery of trucks to the parties who had booked their trucks. The customers cancelled their bookings and there were very few new bookings. The sales of the company started declining that resulted into losses. The management of the company analyzed the problem and decided to take over those two firms because of whom the problem arose, one of them was supplyingtyresforitstrucksandanotheraxlestothecompany.Thecompany also extended credit facilities to the customers and started booking the trucks without charging any booking amount. It also decided to employ 100 unemployed youth, with 50% reservation for females to take up the cleaning operations, using the imported machines, inside the factories as well as the surrounding areas. Download From: http://www.cbseportal.com
  • 477. 461 (a) Identify and state the concepts of 'Enterprise Marketing and Growth Strategies' discussed in the above paragraph. (b) Identify anyone value which 'Sultan Trucks Ltd.'wantstocommunicate 1½+1½+ to the society. 1=4 Ans (a) Conceptforenterprisemarketing-salespromotionarethevariousmethod is used to increase sales. Conceptforgrowthstrategy-acquisition:meansacquiringortakingoveranother company. (b) Values:(Anyonerelevantvalue) Courtesy; fostering respect for differences; sensitivity to environment; good behaviour in human interaction; sharing, compassion, empathy; discipline; responsibility; respect for law and order; conflict resolution; team work; honesty andintegrity. (or any other correct value) Note:½markeachforidentifyingboththeconcepts;1markeachforthestatements of both the concepts; 1 mark for value. Q.22 'One of the keys to business success is to anticipate what the market will want or need.' Since it is not possible for an entrepreneur to see into the future, there is one best way. This 'best way' will help the entrepreneur to understand the market and produce goods or provide services accordingly. (a) Identify the concept discussed in the above lines. (b) Explain any three ways in which an entrepreneur can perform the 1½+4½ activities related to the concept identified. =6 Ans (a) Trendspotting (b) Ways in which an entrepreneur spots trends: (Any three) 1. Read trends: They regularly read the leading publications and websites affecting their business. This could include industry publications, trade Download From: http://www.cbseportal.com
  • 478. 462 associationsites,majornewspapers,keybusinessmagazines,thoughtleaders andinfluentialbloggers. 2. Talk trends: They get involved in specific industry's trade association and attendingeventsandtalktocustomersbothonlineandoffline.Theyalsotake advantage of social networking tools like Linkedln and Facebook. 3. Watch trends: They make it a point to regularly go where their target customers hang out. The entrepreneur spends some time simply watching and observe what people eat, doing, wearing, using etc., 4. Think trends:As they absorb and mull about what they've read, heard and observed,they'llstarttomakeconnectionsandobservationsthatwillleadto business-boostinginsights. Q.23 Karan has started a restaurant on National Highway No.1 in the name of 'Apana Dhaba' by spending ` 20,00,000. He invested ` 8,00,000 of his own and took a loan of ` 12,00,000 from SBI at the rate of 6% per annum. His monthly sales revenue is ` 12,00,000 and the cost of goods sold is ` 7,00,000. He pays monthly salaries of ` 2,00,000 to his employees. The rate of tax is 25%. You are required to calculate the following for Karan : (a) Return on Investment (b) Return on Equity Ans OptionA(on annual basis) FormulaforcalculatingReturnonInvestment= Net profit after tax × 100 OR Net profit before Interest and tax × 100 TotalCapitalInvested Total Capital Invested Calculation Equity 8,00,000 Debt 12,00,000 3+3=6 1 mark for formula,1 markfor calculation, 1 mark for correct answer. Download From: http://www.cbseportal.com
  • 479. 463 CapitalInvested 20,00,000 20,00,000 Salesrevenue 1,44,00,000 (12,00,000 × 12) Less: cost of 84,00,000 goods sold (7,00,000 × 12) GrossProfit 60,00,000 60,00,000 Less: fixed 24,00,000 expenses (2,00,000 × 12) Loan 72,000 (12,00,000 × 6/100) 24,72,000 24,72,000 Net profit before tax 35,28,000 Less: Tax 25% 8,82,000 Net profit after tax 26,46,000 26,46,000 ROI = Net Profit after tax/capital invested × 100 = 26,46,000/20,00,000 × 100 = 132.3% OR ROI = Net Profit before Interest and tax/Capital Invested × 100 = 35,28,000 + 72,000/20,00,000 × 100 = 30,00,000/20,00,000 × 100 = 180% Download From: http://www.cbseportal.com
  • 480. 464 Option B (on monthly basis) Calculation Equity 8,00,000 Debt 12,00,000 CapitalInvested 20,00,000 20,00,000 Salesrevenue 12,00,000 Less: cost of 7,00,000 goods sold GrossProfit 5,00,000 5,00,000 Less: fixed expenses 2,00,000 Salaries Loan (12,00,000 × 6/100 6,000 2,06,000 = 72,000 x 1/12 ) Net profit before tax 2,94,000 Less: Tax 25% 73,500 Net profit after tax 2,20,500 ROI = Net Profit after tax /capital invested × 100 = 2,20,500/20,00,000 × 100 = 11.025% OR ROI = Net profit before interest and tax/Capital invested x 100 = 2,94,000 +6,000/20,00,000 × 100 = 3,00,000/20,00,000 × 100 = 15% Download From: http://www.cbseportal.com
  • 481. 465 Return On Equity Formula = Net Profit after tax / Equity × 100 26,46,000/8,00,000 × 100 = 330.75% Note: In case the examinee has calculated ROI on annual basis - OptionA is the answer and in case the examinee has calculated on monthly basis Option B will be the answer. Q.24 Satnam, an IIT-IIM graduate, started three chemists shops at Amritsar, Patiala and Chandigarh in the name of 'Quality Medicines'. Encouraged with the success of these shops Satnam opened 50 more shops in different parts of Punjab. His strategy was to cut price, focus on lower and upper middle class and open shops near hospitals. He operated on very thin margins. But he was not able to maintain sufficient funds to meet the day- to-day expenses of the business. The staff at the shops did not give much attention to the customers and there was very poor system of control. Because of this mismanagement he started incurring huge losses and his business failed. Based on the above paragraph, identify and explain any four causes of business failure of Satnam. l½×4=6 Ans CausesofbusinessfailureofSatnam:(Four) 1. lack of adequate cash flow: Many small businesses fail because owners haveadifficulttimeprojectingwhatcashwillcomeineverymonth,andthus, howmuchcangoout.Satnamfailedtoestimatethecorrectexpensewhichis required to run the business on a daily basis. 2. Management incompetence: Satnam worked on very thin margins which led to huge losses as well as he did not have control over his staff. 3. Diminished customer base: Satnam did not keep a track of his customer base. Competition can cause the customer base to diminish. 4. Poor system of control: Satnam could not have proper internal control activitieswhichledtothefailureofhisbusiness. (Note: Any other relevant point based on the paragraph may also be considered) Download From: http://www.cbseportal.com