Support Material for PSA (Class XI)

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DIRECTORATE OF EUCATION
Govt. of NCT, Delhi
SUPPORTING MATERIAL
2013
PROBLEM SOLVING ASSESSMENT (PSA)
CLASS -- XI

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PREFACE
A workshop on initiation of Problem Solving Assessment for class XI was held at RPVV
Sec-10 Dwarka New Delhi in compliance of circular no. DE.-S/44/3/PT-1/exam/1145-49
dated - 14/09/2012 issued by Additional Director of Education (Schools) Dr. Mrs. Sunita
Kaushik , to prepare support material for Problem Solving Assessment(PSA) being
introduced by CBSE vide circular no. Acad-41/2012 dt: 01/08/2012.
The objective of the workshop was to prepare the support material in Quantitative
Reasoning, Qualitative Reasoning and Language Conventions to prepare the students to
meet the challenges of the twenty first century. It is an endless endeavour of education to
develop skills like problem solving, decision making, critical thinking and creative thinking
among the students. These dimensions of 21st
century life skills will greatly assist learners in
acquiring Higher Order Thinking Skills (HOTS). All these, together ensure success by our
students in higher studies and professional areas.
A team of eminent and dedicated teacher of Directorate of Education Delhi met and
discussed the aforesaid material and designed the required strategies for the preparation of
the study material for the benefit of the students.
It was a thought provoking and an interactive workshop which generated the required energy
and zeal to give the optimum output to meet the desired goal.
The team is highly grateful to Worthy Additional Director of Education of schools Dr. Mrs.
Sunita Kaushik for showing the faith in the competence of the team to develop the material.
The feedback from students and teachers and all the other stake holders in education will be
the test of the quality of the material. Though the team has made earnest attempt to develop a
good quality material which can be of some use to the readers, any suggestions for
improvement, printing or language errors and views will be gratefully acknowledged.
The team would also like to express sincere gratitude towards one and all who have
contributed in their own way in the development of this material.
(Dr.T.P. Singh)
Principal
RPVV, Dwarka

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TEAM FOR DEVELOPMENT OF SUPPORT MATERIAL ON PSA
CLASS-XI
TEAM LEADER :- Dr. T.P.SINGH, PRINCIPAL, RPVV DWARKA
TEAM MEMBERS
Sr.No. Name Designation
QUALITATIVE REASONING
1 Mr. R.N.Chauhan Lecturer (Chemistry)
RPVV, Sec-10 Dwarka
2 Mr. Anil Kumar Lecturer (Physics)
RPVV, Sec-10 Dwarka
3 Mr. Sher Singh TGT (N.Sc.)
Govt. Co-ed SSS Najafgarh
4 Ms. Harpreet Kaur Bedi TGT (N.Sc.)
GGSSS No.2 Uttam Nagar
5 Ms. Neelma Puri TGT (N.Sc.)
SKV, No.1 Shakti Nagar
QUANTITATIVE REASONING
1 Mr. Sanjay Kumar Lecturer (Maths)
Govt. Co-ed SSS Najafgarh
2 Mr. Anish Kumar Yadav Lecturer (Maths)
Govt. Co-ed SSS, Motibagh-II,
Nanakpura
3 Mr. Mukesh Mahlawat TGT (Maths.)
RPVV, Sec-10 Dwarka
4 Ms. Ritu Tiwari TGT (Maths)
RPVV, Surajmal Vihar
5 Ms. Kusumlata Nagpal TGT (N.sc.)
RPVV, Sec-10 Dwarka
Language Conventions
1 Ms. Manju Gupta Lecturer (English)
RPVV, Sec-10 Dwarka
2 Ms. Sita Visweswaran Lecturer (English)
GSKV, Matiyala
3 Dr. Khaleeq Ahmed Lecturer (English)
RSBV, Madawali
4 Ms. Shikha Sharma Lecturer (English)
RPVV, Sec-10 Dwarka
5 Mr. Vijay Kumar Lecturer (Hindi)
RPVV, Sec-10 Dwarka
6 Mr. Birjesh Kumar Lecturer (Hindi)
SBV, Vijay Enclave
7 Mr. Arun Dagar Lecturer (Hindi)
Govt. Co-ed SS Mundhela
Kalan
EDITED &REVIEWED BY: Mr.R.N.CHAUHAN(Lect. Chem.)
: Mrs. Naveena Bedi (Lect. Pol.Sci.)

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CONTENTS
S.NO. CONTENT PAGE
1 Message and Preface 1-6
2 Qualitative Reasoning 7 – 79
3 Quantitative Reasoning 80 – 123
4 English Conventions 124-178
5 Hindi Conventions 179-228
6 Sample Paper- 1 229-250
7 Sample Paper – 2 251-282

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SECTION - A
QUALITATIVE REASONING
PSA – XI

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Analogy Test
The dictionary meaning of the word „Analogy‟ is „resemblance in certain ways‟. In this type of questions the
candidate are to discover likeness between the firsttwo words, group of alphabets, figures or numbers.
Bearing this resemblance in mind you are to pick one word or group of alphabets or figures which bears the
same resemblance with the third word, group of alphabets or figures.
Word Analogies-
Hot : Cold :: Agitated : ?
The analogy between the first and second word is that the second in the antonym of the first. Bearing this
relation in mind, calm bears the same relation with agitated.
There could be different type of relationship:-
--- Synonym Relationship e.g. Thin: Slim :: Stout : Strong
--- Antonym Relationship e.g. Thin: Portly :: Slim : Stout
--- Degree of Difference e.g. Frequently : Always :: Seldom : Never
--- Cause and effect e.g. shoot : Kill :: Insult : Humiliate
--- whole & part e.g. Fender : Tire :: Elevator : Aileron
--- Function composition action e.g. Axe: Wood :: Scissor : Fabric
--- Sequential e.g. Eight: Nine :: 2 3
: 3 2
Number Analogy:-
1) 4 : 27 :: 9 : ?
a) 12 b) 64
c) 32 d) 16
Explanation :- 2 3 :
3 3
: : 3 2
: ?
So the answer should be 4 3
= 64
So correct answer is (b).
2) 3 : 26 :: ? : 124
a)15 b) 13
C ) 17 d) 24
Explanation :- 2 2
– 1 : 3 3
– 1 : : ? : 53
-1
So the answer should be 42
- 1 = 16-1 = 15
So the correct answer is 15
Similarly analogy in alphabets is seen.
Analogy:-
Select the related word / letters/ numbers from the given alternative.

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/ /
Q.1:- Laughter : Smile :: Hot : ?
a) Cold b) Summer c) Warm d) Temperature
Q.2: Planet : Sun :: Moon : ?
a) Satellite b) Universe c) Mars d) Earth
Q.3 : Axe : Wood :: Scissors : ?
a) Knife b) Blade c) Fabric d) Nail.
Q.4: Eight : Nine :: 23
: ?
a) 9 b) 32
c) 22
d) 8
Q.5 : The Taj : Agra :: Lions : ?
a) Animals b) Zoo c) Tiger d) lioness
Q.6 : DBL : AKK :: ? : JMN
a) MDO b) GDO c) MKE d) GKE
Q.7: ABC : F :: CB : ?
a) E b) F C) G d) H

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Q.8: 8 : 27 :: 125 : ?
a) 625 b) 380 c) 375 d) 343
Q.9 : 234 : 24 :: 12345 : ?
a) 123456 b)120 c) 123645 d) 1245
Q.10: O : Q :: E : ?
a) F b) G c) H d) I
Analogy
Answer Key:
Q. No Answer
1. C
2. D
3. C
4. B
5. A
6. A
7. C
8. D
9. B
10. B

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ANALOGY (NON-VERBAL)
Analogy is the process of reasoning between two parallel cases. It related to agreement or
correspondence in certain respects between two things. It is a process whereby the
underlying relationship that exists between two figures, designs or patterns is determined.
Under common to the two figures or designs. this common feature is a model or base. The
question seeks solution or the basis of this model or base.
Each of the following questions consists of two sets of figures. Figures A, B, C and D constitute the
Problem Set while figures 1, 2, 3, 4 and 5 constitute the Answer Set. There is a definite relationship between
figures A and B. Establish a similar relationship between figures C and D by selecting a suitable figure from
the Answer Set that would replace the question mark (?) in fig. (D).
Q1) Select a suitable figure from the Answer Figures that would replace the question mark (?).
Problem Figures: Answer Figures:
(A) (B) (C) (D) (1) (2) (3) (4) (5)
A.1 B.2
C.3 D.4
E.5
ANS) C
Q2) Select a suitable figure from the Answer Figures that would replace the question mark (?).
(A)(B) (C) (D) (1) (2) (3) (4) (5)
A.1 B.2
C.3 D.4
E.5
ANS)A
.Q3) Select a suitable figure from the Answer Figures that would replace the question mark (?).
(A) (B)(C) (D) (1) (2) (3) (4) (5)
A.1 B.2
C.3 D.4
E.5
ANS)A

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Q4)Problem Figures/
?
Answer Figures/
A B C D
Q5)Problem Figures/
?
Answer Figures/
A B C D
Ans4) B Ans5) D

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COMPLETE THE SERIES
Choose the correct alternative from the given ones that will complete the series:-
Q.1 : 2, 5, 9, 19, 37, ___
a) 73 b) 74 c) 75 d) 76
Q.2 3, 4, 12, 16, 48, ___
a) 56 b) 64 c) 80 d) 172
Q.3: 4, 9, __, 49, 121
a) 16 b) 25 c) 36 d) 18
Q.4: 8, ____, 125, 343, 12321
a) 12 b) 27 c) 64 d) 16
Q.5: ZXY, OMN, TRS, ______
a) KIJ b) BAC c) WVU d) DEF
Q.6: ABD, CDF, _____, GHI
a) EFG b) CDE c) EFHd) DEG
Q.7: _____, 1/24, 1/36, 1/54, 1/81

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a) 1/32 b) 1/9 c) 1/16 d) 1/18
Q.8: 2, 7, 22, 67, ___, 607
a) 202 b) 203 c) 204 d) 205
Q.9.
?
(a) (b) (c) (d)
Answer Key:
Q. No Answer
1. C
2. B
3. B
4. B
5. A
6. C
7. C
8. A
9. C

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SYMBOL REPRESENTATION
This sections deals with question on simple mathematical operation namely ÷, x, + & -
along with others namely ‹, =, ›, ≠ etc. These operations are coded using artificial symbols.
The candidate has to make substitution of real signs and then by using DMAS formula, solve
the question.
Example 1.
If + means ÷, - means x, ÷ means + and x means -, then the value of 36x12+4÷6+2-3
When simplified is :-
a)2 b) 18 c) 42 d) 19/2
Solution –
Using proper signs:-
36-12÷4+6÷2x3
= 36-3+3x3
= 36-3+9
= 42
So the correct answer is (c)
Example 2.
If P denotes ÷, Q denotes x, R denotes +, S denotes -, then the value of
18Q19P4R5S6, will be ---
a) 36 b) 53 c) 59 d) 65
Solution:-
Using correct symbols , we have :-

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Given expression = 18x2÷4+5-6
= 18x3+5-6
= 54+5-6
= 53
So the answer is (b)
SYMBOL RELATIONSHIP
Q: select the correct combination of mathematical signs to replace * sign to balance the
given equation.
Q.1: 24*3*2*12*3
a) x÷=x b) x=x÷ c) x=+x d) +x=x
Q.2: 6*1*6*4*2*6
a) ÷x=+x b) x÷=+x c) x÷=x+ d) x÷x=+
Q3: 18*3*1*26*28
a) ÷x=+ b) ÷++= c) x÷=- d) x÷=+
Q.4: 11*11*11*12321
a) xx=x b) xxx= c) x=xx d) xx÷=

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Q.5: 23*3*7*16*3
a) x+-= b) +x=- c) +-=+ d) +÷=+
In questions below, equations have become wrong due to wrong orders of signs. Choose
the correct order of signs from the alternative given.
Q.6: 9=3x7-20
a) x-= b) ÷x=c) =+- d) x=-
Q.7: 56x6÷3=29-2
a) +x=x b) +÷=x c) x+÷= d) =x+÷
Q.8: 8-2x7=11
a) =x- b) =+- c) ÷+=d) =-x
Q.9: 24÷2+3-6=30
a) ÷+=- b) x÷-= c) ++-= d) ÷x=+
Q.10: 5x6÷3-12=13-6
a) +÷ +=+ b) x÷+-= c) x+÷=- d) ++-=-
If + means -, - means x, x means ÷ and ÷ means +, then----
x x ÷ ÷
Q.11: 15x5÷10+5-3=?
a) 9.5 b) 0 c) -2 d) 24

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Q.12 15x3÷10+5-3=?
a) 10 b) 0 c) 20 d) 6
Q.13: 30÷6+2-1=?
a) 34 b) 35 c) 36 d) 37
Q.14: 36x2+8÷8=?
a) 16 b) 17 c) 18 d) 19
Q.15 : If  denotes =, + denotes  , - denotes , denotes , x denotes  and ÷
denotes  then a + b -c denotes :-
= +  <  x  ÷
< a + b + -c
a) b  c a b) b a ÷ c c) a ÷b x c d) b – a + c
Q)16: If “X” stands for add, ‘Y’ stands for subtract, ‘Z’ stands for divide and P stands for
multiply, then what is the value of (7 P 3) Y6X5
X + ‘Y’ ‘Z’ ÷ P x (7 P 3) Y6X5
a) 5 b) 10 c) 25 d) 20
If A stands for Addition , S stands for Subtraction, M stands for Multiplication, D stands for
Division, G for Greater Than and L for Less than, Then which of the following alternatives
will be logically correct.
A S M D G  L <

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Q.17
A) 16 A 3 M 2 G 16 A 2 M 3
B) 16 A 3 M 2 L 16 M 2 A 3
C) 16 M 3 A 2 L 16 A 2 M 3
D) 16 M 3 A 2G 16 A 2 M 3
Q.18
A) 9 M 3 S 7 L 22
B) 9 M 3 L 7 S 22
C) 9 S 3 G 7 M 22
D) 9 S 3 G 7 A 22
Q.19
A) 56 D 6 S 3 G 29 M 2
B) 56 S 6 M 3 L 29 A 2
C) 56 A 6 D 3 L 29 S 2
D) 56 A 6 D 3 G 29 S 2
Q.20
A) 8 D 2S 7G 11
B) 8 A 2M 7L 11
C) 8 A 2M 7G 11
D) 8 D 2 M 7L 11

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SYMBOL RELATIONSHIP
ANSWER KEY
Q. No Answer
1. A
2. A
3. D
4. B
5. C
6. A
7. B
8. C
9. D
10. A
11. C
12. A
13. A
14. C
15. D
16. B
17. C
18. A
19. D
20. C

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CLASSIFICATION
Something may be classified into one group because they belong to the same category.
There are other things that do not belong to the category. There are four types of
question:-
(i) Words representing 4 digits are the same except for one.
(ii) Some figures problem
(iii) Some groups of letters
(iv) Numbers belonging to one group may be given for finding out an odd one.
Example :-
Pick out odd one
Q1. A) car b) Scooter c) Bus d) Bicycle
Answer:- (d)
Bicycle, because the other three are automobiles.
Q2. A) 369 b) 246 c) 123 d) 478
Answer:- (d)
478, is the answer because the rest of the numbers are formed by multiplying the first
number by 2 and 3.

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ODD ONE OUT (Classification)
Select the one which is different from other three responses:-
Q.1: a) 9 b) 18 c) 117 d) 134
Q.2 a) 120 b) 136 c) 150 d) 240
Q.3 a) Bangllure b) Wrist watch c) Bracelet d) Ring
a) b) c) d)
Q.4 a) p b) J c) A d) N
Q.5 a) TVXZ b) ZBDF c) FHJL d) JLMO
Q.6 a) Idlimaker b) Pressure Cooker c) Pan d) Mixer Grinder
Q.7 a) Stable b) Hole c) Sty d) Canoe
Q.8 a) Quotation b) Duty c) Tax d) Invoice
Q.9 a) Spinach b) Potato c) Carrot d) Ginger.
a) b) c) d)
Q.10 a) FKEBQ b) ADXAT c) FTZEM d) APDQL

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CLASSIFICATION
ANSWER KEY
Q. No Answer
1. D
2. C
3. D
4. A
5. D
6. D
7. D
8. A
9. A
10. B

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VENN DIAGRAMS
There are three possible relationships between two different classes or sets, one may
contain the other, the two may interest, or the two may be totally separate. These
relationships can be represented graphically
Means that class contain all members of the other.
Means that each class has some members common
Means that two classes have no members in Common.

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Example Question:-
Which of the following diagrams best depicts the relationship among the given / sets.
Q.1:- Lions , Tigers , Bears
a) b)
c) d)
Answer:- (b)
:- (b)
Logic / Explanation
It is easy to see that this group contains three separate classes.
No lions are either tigers or bears, and no tigers are bears.
(b)
Q.2 : People, Cook, Adult men.
a)

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(b)
c)
d)
Answer:- (d) :- (d)
Explanation:- All cooks and all adults men belong to the same class of people. So both will
be the part of big circle of people. Since some but not all cooks are adult men and some
adult men are not cooks, so cooks and adult men are intersecting.
(d)

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EXERCISE (SET-I)
Which of the following diagrams best depicts the relationship among the give class / sets.
Q.1: Society, Family, Friends
a)
b)
c)
d)
Q.2: School, Students, Parents

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a)
b)
c)
d)
Q.3: Dancers, Singers, Entertainers
a)
b)
c)
d)
Q.4 : Salt, Pepper , Things derived from plants

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a)
b)
c)
d)
Q.5: Napkins , White Objects, Things made up of paper.
a)
b)
c)
d)

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ANSWER KEY:
Q. No Answer
1. A
2. B
3. A
4. D
5. A
EXERCISE SET-II
Q.1: In the figure given below, the no. of Rural, Educated, Female, Government Servants
is:-
7
Rectangle , Female , Circle = Rural, Square = Educated , Triangle = Government Servants
a) 1 b) 8 c) 3 d) 2

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Q.2: Which no. indicates teacher who are neither doctor nor engineer
A
3 6 2
B C
A = Engineer , B= Doctor, C= Teacher
A= B= C=
a) 1 b) 7 c) 2 d) 6
Q.3: Which no. indicates Vegetarian Non- flying Birds?
P = Bird ( , Q = Non Flying ( , R = Vegetarian (
a) 2 b) 3 c) 4 d) 7
P Q
R

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Q.4 : Which one of the following diagrams best depicts the relationship among
Lion, Deer and Animal.
A)
B)
C) D)
Q.5: Which no. indicates female, naughty, musicians and student?
3 10
2 4
1 7

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A = Female , B = Naughty C = MusicianD= Student
A = B = C = D=
a) 2 b) 3 c) 5 d) 4
ANSWER KEY:
Q. No Answer
1. A
2. B
3. B
4. C
5. D
CODING DECODING
Coding is a secretive language which is used to change the representation of actual term /
word / value. This coded language can be formed by:-
1. Moving letters one or more step forward or backward
2. Substituting numbers for letters or vice-versa.
3. Writing the letters of the given word in reverse order in part or in whole.
4. Replacing the letters in their natural series by same positioned letters in their reverse
series.
5. Mirror images can also be used.
Example.1:-

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A B C D E F G H I J K L M
Ist 5th
10th
N O P Q R S T U V W X Y Z
15th
20th
25th
If RESULT is coded as 798206, LET will we coded as
a) 680 b) 092 c) 096 d) 608
Answer :- (c) The letters are coded by numbers, and to code the given word , select the
respective coded numbers:
RESULT === Letters
798206 === Code
So LET code will be
LET == Letters
096 == Code.
Example. 2:- SKIPPING over letters in formed direction or backward direction.
If INDIA is written as 9, 16, 7, 13, 6, How can be write CANADA

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1) 3, 1, 12, 1, 4, 1 2) 3, 2, 15, 4, 8, 6 3) 3, 1, 15, 1, 4, 1 4) 3, 3, 17, 9, 10, 7
Answer :- D
Here I N D I A LETTER
Alphabetically I N D I A
9 14 4 9 1
+2
+3+4+5
2 9 16 7 13 6
So C A N A D A can be written as :-
C A N A D A
3 1 14 1 4 1
+2 +3 +4
+5 +6
3 3 17 5 9 7

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EXERCISE
Q.1: In a coded language Q U A L I T A T I V E is written as T A U L A T I T E V.
How is
L O G I C A L written in the same language:-
a) L A G I C A L
b) O L I G A C L
c) M G O C I L A
d) K G O C I L A
1) Q U A L I T A T I V E T A U L A T I T E V
L O G I C A L
2) L A G I C A L
3) O L I G A C L
4) M G O C I L A
5) K G O C I L A
Q.2: IF C O N T R I B U T E is written as E T B U I R N T O C how is P O P U L A R I
S E
Written in that code:
a) E S R I A L P U O P
b) E S I R A L U P O P
c) O P U P A L I R E S
d) P O U P L A I R S E
2) C O N T R I B U T E E T B U I R N T O C
P O P U L A R I S E
a) E S R I A L P U O P

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b) E S I R A L U P O P
c) O P U P A L I R E S
d) P O U P L A I R S E
Q.3: If D E N M A R K is written as 5, 6, 15, 14, 2, 19, 12 , How can E G Y P T be
written
in that code :-
a) 5, 7, 25, 16, 20
b) 6, 8, 26, 17, 21
c) 10, 14, 25, 20, 21
d) 4, 6, 24, 15, 20
3) D E N M A R K 5, 6, 15, 14, 2, 19, 12 ,
E G Y P T
a) 5, 7, 25, 16, 20
b) 6, 8, 26, 17, 21
c) 10, 14, 25, 20, 21
d) 4, 6, 24, 15, 20
Q.4 : If MOBILITY = 46293937 then EXAMINATION = ?
a) 45038401854
b) 56149512965
c) 57159413955
d) 67250623076
4) MOBILITY = 46293937 EXAMINATION = ?
Q.5: If DISTANCE is written as EKVXFTJM then how would PRESENT be
written in the same code:-
a) IDUJLAO b) RCIBVZT c) EKTRACQ d)
QTHWJTA

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Q.6: In a certain code ‘ hi li min’ means ‘ Rajni is a girl’ and ‘ chi min hic’ means ‘
Rajesh is a
boy’ and ‘ li tic hic’ means ‘ he is a boy’. What is the code for BOY?
6)
Q.7 : In a certain code INTELLIGENCE is written as LIG INTELENCE, how will
MULTIFACETED be written in that code:-
a)FACETED MULTI b) TEDMULTIFACE
c)FACEMULTITED d) DETECAFITLUM
7) INTELLIGENCE LIG INTELENCE MULTIFACETED
a)FACETED MULTI b) TEDMULTIFACE
c)FACEMULTITED d) DETECAFITLUM
Q.8: If JUNE is coded as NXPF, how will STAY be coded in the same manner :
a)WWCZ b) WVCZ
c)WWDB d) VWZC
8) JUNE NXPF STAY
a)WWCZ b) WVCZ
c)WWDB d) VWZC

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Direction Q.9 & Q.10 : In a certain code:-
1) Pod na joc means ‗very bright boy‘
2) Tam nu pod means ‗ the boy comes‘
3) Na per ton means : ‗ keep the doll‘
4) Joc ton su means ‗ very good goll‘
Q.9: Which word is used for ‘ bright ’ in this code ?
a) Joc b) pod c) ton d) na
Q.10:For the above question which statement can be left out to find answer /
a) Only (1) b) only (2) c) only (3) d) (3) and (4)
a) b)
c) d)
a) (1) b) (2) c) (3)d) (3) and (4)

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ANSWER KEY:
Q. No Answer
1. D
2. A
3. B
4. B
5. D
6. D
7. C
8. A
9. D
10. B
DIRECTION
A man or a vehicle changes direction after covering some given distance.
Direction is changed many times. You are asked to determine in which direction
from the starting point a man or vehicle is. Sometimes you are asked to work
out the distance:-
N
W E

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S
Example :-
A boy rode his bicycle northwards, then turned left and rode one Km and again turned left
and rode one Km and again turned left and rode 2 Kms. He found himself exactly one Km
west of his starting point ? How far did he ride northwards initially ?
Solution :-
Starting Point is A. the boy rode from A to B, then to C and finally upto D. Since D lies to
the west of A and So the distance AB =CD=2 kms.
C B
D A
Answer :- 2 Kms.
EXERCISE
Q.1: Shilpi walks 6 km towards south from her house. Then she turns right and walk 6
km, then
she again turns to right and walks 2 km, then again turns to her right and walks for
another
2 km, then she takes a turn to her left and walks 7 km. How far is she from her
house?
a) 5 km NW b) 5 km NE c) 3 km NW d) 3 km NE

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a) 5 NW b) 5 NE c) 3 NW
d) 3 NE
Q.2: I go to 5 km East then turn right and go 8 km. Then I turn left and go 5 km and then I
turn left and go 8 km. At what distance am I from starting point.
a)16 km b) 0 km c) 13 km d) 10 km
Q.3: A watch reads 5.30. If the minute hand points east, in which direction will the hour
hand
Point:
12
9 3
6 5
a)NE b) NW c) SE d) SW
a)NE b) NW c) SE d) SW

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Q.4 : One morning after sun rise Rishel was standing facing a pole. The shadow of the
pole fell exactly to his right, which direction was he facing?
a)North b) South c) East d) West
a) b) c) d)
Q.5: A man is facing North-East, he turns 900
in clockwise direction and then 1350
in the
anticlockwise direction. Which direction is he facing now?
a) North – East b) South – East c) North d) South
a) b) – c) d)
Q.6: It East is called North – East, South is called North-East, what will North be called?
a) South West b) East c) West d) South-East
a) b) c) d)

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Q.7: a man is performing yoga with his head down legs up his face is towards the EAST. In
which direction will his left hand be--
a) East b) West c) South d) North.
a) b) c) d)
Q.8: Four people stationed at the four corners of a square piece as shown in figure. B
startsCrossing the field diagonally. After walking half the distance, he turns to right, walks
Some distance and turns left. Which direction is B facing now?
A B
N
W E
S
D C
a) North East b) North West c) South East d) South West
8
B
B
a) b) c) d)

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Q.9: At 6.30 am morning Richa started walking positioning her back towards sun. After
some time she turned left, then turned right and again towards left. In which direction is
she goingnow?
a) East b) West c) South d) North
a) b) c) d)
Q.10: Two buses start moving from opposite points on a main road, 100 km apart. The first
bus‘X’ runs for 25 kms and takes a right turn and then runs for 15 kms. It turns then
to left and again runs for 15 kms. It then turns left and takes the direction back to reach the
main road. In the mean time other bus ‘Y’ has run only for 40 kms along the main road.
What would be the distance between the two buses at this point?
a) 30 km b) 35 km c) 40 km d) 45 km
10
‘X’
a) 30 b) 35 c) 40 d) 45

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ANSWER KEY:
Q. No Answer
1. A
2. D
3. A
4. B
5. C
6. A
7. D
8. D
9. C
10. C
BLOOD RELATION

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SET –I
Q.1: ‗A‘ is the son of ‗M‘ whose father is the brother of B. B, is the son of ‗E‘, who is a
Doctor. How is ‗M‘ related to E.
a) Uncle b) Brother c) Cousin Brother d) Brother – in – law
‗A‘ ‗M‘ B B, E ‗M‘,E
a) b) c) d)
Q.2 : A woman ‗A‘ tells her granddaughter ‗ C‘ about her only child ‗B‘. ‗B‘ is married to
‗D‘ and ‗D‘ has son ‗ E‘ who is two years old. How is ‗C‘ related to ‗E‘
a) Aunt b) Cousin c) Brother d) Sister
‗A‘ ‗ C‘ ‗B‘ ‗B‘ ‗D‘
‗D‘ ‗ E‘ ‗C‘,‗E‘
a) b) c) d)
Q.3 Looking at a photograph my son cried for her that she was the only sister of my
maternal uncle. How am I related to her?
a) Mother b) cousin c) self d) Sister
a) b) c) d)
Q.4: A family has a man, his wife, their four sons and their wives. The family of every son
also has 3 sons and 1 daughter. Find out the total no. of male members in the whole family.
a) 8 b) 12 c) 17 d) 23

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a) 8 b) 12 c) 17 d) 23
Q.5 : Pointing to a man, a woman said : ― His mother is the only daughter of my mother .‖
How is the woman related to the man?
a) Mother b) daughter c) Sister d) Grand daughter
a) b) c) d) /
Q.6: Rajan is the brother of Sachin and Manik is the father of Rajan, Jagat is the brother of
Priya and Priya is the daughter of Sachin. Who is the uncle of Jagat?
a) Rajan b) Sachin c) Manik d) Can‘t Say
a) b) c) d)
Q.7: A and B are brothers. C and D are Sisters. A‘s son is D‘s brother. How is B related to
C?
a) Father b) Brother c) Grandfather d) Uncle
A B C D . A D B, C
a) b) c) / d)

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Q.8: A is the son of B and C is the sister of B.
If : (i) A +B Means A is the father of B
(ii) A – B means A is the wife of B
(iii) A X B means A is the brother of B
(iv)A ÷ B means A is the Daughter of B
If A – C + B, which of the following statement is true ?
a) A is the mother of B b) B is the daughter of A
C) A is the Aunt of B d) A is the sister of B
A,B C,B
: (i) A +B A ,B
(ii) A – B A , B
(iii) A × B A , B
(iv)A ÷ B A , B
A – C + B,
a) A ,B b) B , A
c) A ,B d) A ,B
ANSWER KEY:
Q. No Answer
1. C
2. D
3. A
4. C
5. A
6. A
7. A
8. A
BLOOD RELATION TEST

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SET –II
Q.1 : There are six children playing volley ball namely, A, B, C, D, E and F. A and E are
sisters.
F is the brother of E. C is the only daughter of A‘s aunty. B and D are the sons of the
sister
of C‘s mother. How is C related to F?
a) Daughter b) Sister c) Aunt d) Cousin
A,B,C,D, E F
a) b) c) d)
Q.2: A woman pointing to a photograph says ―This man‘s son‘s sister is my mother – in -
law‖. How is the woman‘s husband related to the man in the photograph?
a) Grandson b) Son c) Son in Law d) Nephew
a) b) c) d)
Q.3: Harbir while introducing Jaspreet to her husband said ― His brother‘s father is the only
son
of my grandfather‖. How is Harbir related to Jaspreet?
a) Aunt b) Sister c) niece d) Mother
a) b) c) d)

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Q.4: A woman introduces a man as the son of the brother of her mother. How is the man
related to her ?
a) Son b) Uncle c) Cousin d) Grandson
a) b) c) d)
Q.5: A is the father of C and D is the son of B. E is the brother of A, if C is the sister of D,
how is B related to E.
a) Daughter b) Brother in Law c) Husband d) Sister in law
‗A‘,‘C‘ ‗D‘, ‗B‘ E,A C,D B E
Q.6: Read the statements below:-
(i) M is the brother of N
(ii) B is the brother of N, and
(iii) M is the brother of d.
Which of the following statements is definitely true?
a) N is the brother of B
b) N is the brother of D
c) M is the brother of B
d) D is the brother of M
(i) M ,N

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(ii) B ,N
(iii) M ,D
a) N ,B
b) N ,D
c) M , B
d) D ,M
Q.7: Rati is the daughter of my brother‘s son. If my brother has only one sibling. How is
Rati related to my brother‘s wife.
a) Niece b) Daughter c) Granddaughter d) Sister in Law
/
Q.8: C is A‘s father‘s nephew. D is A‘s cousin but not the brother of C. How is D related
to C.
a) Father b) Sister c) Mother d) Aunt
C,A D,A C D C
Q.9: If : (i) A +B Means A is the father of B
(ii) A – B means A is the wife of B

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(iii) A X B means A is the brother of B
(iv)A ÷ B means A is the Daughter of B
If A – C + B, which of the following statement is true ?
b) A is the mother of B b) B is the daughter of A
D) A is the Aunt of B d) A is the sister of B
A +B A B
A – B A B
A × B A B
A ÷ B A B
A – C + B,
a) A ,B b) B , A
c)A , B d) A ,B
Q.10: Pointing towards a girl in the picture, Sarita said, ― She is the mother of Meha whose
father is my son‖ How is Sarita related to girl in Picture?
a) Mother in Law b) Aunt c) Cousin d) Sister
a) b) c) d)

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ANSWER KEY:
Q. No Answer
1. D
2. A
3. C
4. C
5. D
6. C
7. C
8. B
9. A
10. A

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RANKING TEST
Ranking is based on the arrangement of things in a particular order. The arrangement may be
on the basis of their position, size, age etc.
POSITION SERIES TEST :
In this series, questions are asked about the positions of persons from up or down, or
from left or right etc. Some important types are;-
a) In a line girl Advaita‘s position from left is 10th
while Trishala‘s position from
right is 16th
. When they interchange their position Trishala‘s position becomes
20th
from left then what will be the position of Advaita from the right :-
A_10th
(ADVAITA). . 16TH
(TRISHALA). B
AFTER INTERCHANGE
A_10th
. . 16TH
. B
9 girls + Trishala Advaita + 15 girls
Since, Advaita‘s new position after interchange is 20th
from the left:
Therefore total no. of girls in the
Line = 20 + 15 == 35
Hence, Trishala,s position from the right == (35-10) + 1 == 26th
.

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RANKING
Q.1: Five girls participated in an education competitions:-
1. Pratibha ranked higher than Sarita
2. Sarita ranked higher than Ritika
3. Pratibha ranked lower than Gurpreet
4. Kavita ranked between Pratibha and Sarita
Who ranked the highest?
a) Kavita b) Pratibha c) Gurpreet d) Ritika
A B) C) D)
Q.2: I a group of six students, Nitin is heavier than Mahesh but lighter than Nandu. Ketan
is lighter than Mahesh but he is not as lighter as Ramesh. If Nandu is lighter than Amit,
then who is the lightest?
a) Mahesh b) Ketan c) Ramesh d) Nandu
A B) C) D)
Q.3: In a reo of plants, a plant is 16th
from either end of the row. How many trees are there
in the Row?

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a) 32 b) 30 c) 31 d) 16
a) 32 b) 30 c) 31 d) 16
Q.4: In a row of boys , Deepak is 7th
from left and Madhur is 12th
from right. If they
interchange their positions, Deepak becomes 22nd
from the left. How many boys are there in
the row?
a) 19 b) 31 c) 33 d) 18
a) 19 b) 31 c) 33 d) 18
Q.5: In a class of 36 students the rank of Ramesh is 18th
from top. What will be his rank
from bottom?
a) 19 b) 17 c) 18 d) 20
36
a) 19 b) 17 c) 18 d) 20
Q.6: Shruti and Preeti are ranked 7th
and 11th
respectively in a class of 31 students. What
will be their respective ranks from bottom of class?
a) 20th
and 24th
b) 21th and 25th
c) 21st
and 26th
d) 26th
and 20th

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A) B)
C) D)
Q.7: There are five friends--- Satish, Kishore, Mohan, Amit and Ravi. Satish is shorter than
Kishore but taller than Ravi. Mohan is the tallest. Amit is a little shorter than Kishore and
little taller than Satish. Who is taller than Amit but shorter than Mohan?
a) Amit b) Kishore c) Satish d) Ravi
7)
A) B) C) D)
Q.8: Shailendra is shorter than Keshav but taller than Rakesh. Madhav is the tallest. Ashish
is a little shorter than Keshav and a little taller than Shailendra. If they stand in the order
of their height , who will be in the middle?
a) Keshav b) Rakesh c) Shailendra d) Ashish
A) B)
C) D)

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ANSWER KEY:
Q. No Answer
1. A
2. C
3. C
4. C
5. A
6. B
7. B
8. D

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DICE TYPE TEST
Q.1: Observe the dots on the faces of a dice in the figures given below and find how many dots
are on the opposite faces which have four dots.
Q.2: On the basis of figures of dice find what is the number opposite to the number ‗6‘ on the
Face?
ANSWER KEY:
Q. No Answer
1. A
2. A

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SYLLOGISM
(EXAMPLE)
Q.1: Statements: I Some Politician is social workers.
II All doctors are social workers
Conclusion: I Some doctors are politicians
II Some social workers are doctors as well as politicians
a) Both conclusion I and II follow
b) Only I follow
c) Only II follow
d) Neither conclusion I nor II follows
Q.2: Statements: I Some Chairs are tables.
II Some tables are TV.
Conclusion: I Some chairs are T.V.
II Some TV are chairs
III All the T.V. is table
IV All the tables are chairs
a) Only II and IV follows
b) Only I and IV follows
c) Only IV
d) None of these
Q.3: Statements: I All the phones are papers
II All the papers are calculators.
Conclusion: I All the calculators are papers
II All the phones are calculators
III All the papers are phones
IV Some calculators are phones.
a) All follows
b) Only I and II follows
c) Only II and IV follows
d) None of these
Q.4: Statements: I All men are vertebrates
II Some Mammals are vertebrates.
Conclusion: I All men are vertebrates
II Some vertebrates are mammals
III All vertebrates are men
IV All mammals are men.

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a) Only II follows
b) Only IV follows
c) Only I and III follows
d) None of these
T.V.
T.V
T.V
T.V
A)
B)
C)
D)

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A)
B)
C)
D)
A)
B)
C)
D)

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ANSWER KEY:
Q. No Answer
1. D
2. D
3. C
4. A

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PASSAGE BASED MCQ
Directions:-
A,B,C,D,E,F and G are seven kids playing in the garden. They are wearing a clothes of colours—black,
blue, white, green, pink, yellow and brown. Out of the seven, three are girls. No girl is wearing either black,
yellow or brown. D‘s sister F is wearing pink while he is wearing brown. A is wearing blue, while his sister
B is not wearing green. E is wearing yellow, while his best friend G is a boy.
Q.1: What colour is B wearing?
a) Green b) Pink c) Brown d) None of these
Q.2: What colour is G wearing?
a) Black b) Blue c) White d) Green
Q.3 What colour is C wearing?
a) Black b) Green c) White d) None of these
Q.4: What colour are the sister of A and D wearing?
a) Pink & Green b) Pink& Yellow c) White & Green d) White & Brown
Q.5: Which group is denoting only Girls?
a) BCE b) BEF c) BCF d) None of these
Q.6: Which group is denoting only boys?
a) ADEF b) ADEG c) ADBG d) None of these
Solution:- STEP –I
Draw the table from the given passage
KIDS COLOUR OF CLOTHES SEX
A BLUE BOY
B WHITE GIRL
C GREEN GIRL
D BROWN BOY
E YELLOW BOY
F PINK GIRL
G BLACK BOY

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A,B,C,D,E,F G
D F D
A B E
G
B
A B C D
G
A B C D
C
A B C D
A D
A B C D
A BCE B BEF C BCF D
A ADEF B ADEG C ABDG D

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Hint:-
A
B
C
D
E
F
G

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D A B D C B
PASSAGE
I
There are five persons A, B, C, D and E. One of them is a doctor, one is an engineer another one is an
executive. C and E are unmarried ladies and do not work. None of the ladies in engineer or doctor. These is
a married couple in which D is the husband. B is neither an enginee nor an executive and is a male friend of
A.
Q.1: Who is the Doctor?
a) A b) D c) B d) C
Q.2: Who is the executive?
a) B b) A c) D d) C
Q.3: Who is the wife of D?
a) C b) A c) D d) E
Q.4: Who is the Engineer?
a) D b) A c) B d) C
Q.5: The three ladies are :
a) A, B and E b) C, D and B c) B, A and C d) A,C and E
Q.6: Which is the married couple?
a) AD b) BD c) CD d) DE

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A,B,C,D,E
C E D
B A
A B, D C
B A D C
D
C A E B
D A B C
A, BE C, DB, B AC C
A D B D CD D E

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ANSWER KEY:
PASSAGE-I
Q. No Answer
1. B (2)
2. A (1)
3. C (3)
4. D (4)
5. D (4)
6. C (3)
PASSAGE
II
Some words are given in Column I. These word are written in a code language in column II. The code
equivalents of the words given in column I and II are not necessarily in the corresponding order. Choose the
correct code for the words from the given alternatives.
S.NO. COLUMN I COLUMN II
1 pod na joc very bright boy
2 tan nu pod the boy comes
3 nu per ton keep the doll

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4 joc ton su very good doll
5 sa pod ton doll is boy
Q.1: Which word will be code for word doll
a) Ton b) na c) joc d) per
Q.2: Which word will be the code for word keep?
a) Joc b) per c) pod d) tan
Q.3: Which word will be code for Boy?
a) Nu b) sa c) pod d) tan
Q.4: Which word will be code for word bright?
a) Pod b) tan c) nu d) na
Q.5: Which word will be the code for word ‗ the‘ ?
a) Nu b) tan c) per d) sa
Q.6: Which word will be the code for word ‗very‘?
a) Pod b) joc c) na d) sa
PASSAGE II

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A B C D
A B C D
A B C D
A B C D
A B C D
A B C D

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ANSWER KEY:
PASSAGE-II
Q. No Answer
1. A
2. C
3. D
4. B
5. A
6. B
PASSAGE – RELATION PUZZLE
In a family A is the son of B. C who is a sister of B has a son D and a daughter E. F is the maternal uncle of
D but he is unmarried and has only one sister. Answer the queries about their relationship.
Q.1: How is A related to D?
a) Cousin b) Nephew c) Uncle d) Brother
Q.2: How is E related to F?
a) Sister b) Daughter c) Niece d) Mother
Q.3: How many nephews does F have?
a) 1 b) 2 c) 3 d) None
Q.4: How is D related to B?
a) Sister b) Brother c) Cousin d) Brother in law
Q.5: How many nephews does B have?
a) 1 b) 2 c) 3 d) None
Q.6: How is b related to D?
a) Uncle b) Aunt c) Father d) No-relation

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A,B C B D E F,D
A,D
a) b) c) d)
2)E,F
a) b) c) d)
3) F
a) 1 b) 2 c) 3 d)
4)D,B
a) b) c) d)
5) B
a) 1 b) 2 c) 3 d)
6)B,D
a) b) c) d)

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ANSWER KEY:
Q. No Answer
1 a
2 c
3 b
4 a
5 b
6

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PASSAGE --- (Venn Diagram Puzzle)
There is a sample of young people in a colony. Some of them are employed. Some of them come from rural
background. Some of them are hardworking and some are intelligent.
Below given is Venn Diagram , where the circle stands for employed, the square for hardworking, the
triangle stands for rural and the rectangle stand for intelligent people study the figure carefully and answer
the question followed.
Q.1 How many people with rural background are employed but they are neither hard working
nor intelligent?
a) 10 b) 9 c) 6 d) 4
Q.2 How many people with rural background are hard working and intelligent?
a) 3 b) 4 c) 5 d) 7
Q.3 How many people with rural background are not intelligent but hardworking and employed?
a) 1 b) 2 c) 3 d) 4
Q.4 How many people with rural background are neither intelligent not hardworking and also
not employed?
a) 2 b) 4 c) 5 d) 9
Q.5 How many people with rural background are neither employed nor intelligent?
a) 2 b) 8 c) 4 d) 5
Q.6 How many of them are not from rural background but intelligent so employed but they are
not working?
a) 8 b) 9 c) 1 d) 17

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ANSKER KEY
1(C) 2(B) 3 (B) 4 (C) 5(B) 6(A)

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a) 10 b) 9 c) 6 d)
a) 3 b) 4 c) 5 d)
a) 1 b) 2 c) 3 d)
a) 2 b) 4 c) 5 d)
a) 2 b) 8 c) 4 d)
a) 8 b) 9 c) 1 d)

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SECTION-B
QUANTITATIVE
REASONING

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NUMBER SYSTEM
Q.1 What is the value of (P+Q)/(P-Q), if P/Q=7/3 ?
(a) 5/3 (b)3/2 (c)4/2 (d)5/2
𝑃
𝑄
=
7
3
𝑃+𝑄
𝑃−𝑄
(a) 5/3 (b)3/2 (c)4/2 (d)5/2
Q.2.Which of the following is a proper fraction ?
(a)
3
5
(b)
1
2
(c)
7
3
(d)
3
5
&
1
2
Q.3. If P=3 +2 2, the value of p + 1/p
P=3+2 2 P+
1
𝑃
(a) 8 (b) 6 (c) 8 (d) 8
3
Q.4. Which one of the following is not prime number
a) 1 (b)2 (c)13 (d)11
Q.5. Which one of the following number will be terminating

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(a)
129
225775
(b)
6
151
(c)
77
210
(d)
6
15
Q.6.Which of the following number is rational
a) 13 b) 121 c) 29 d) NONE
a) 13 b) 121 c) 29 d)
Q.7. Which is a quadratic equation
a) X+
1
𝑋
=2 b)x(x2
-1)=7 c) 𝑥(3x + 2)=4 d) x2
─
1
𝑋
=1
Q.8. The product of the roots of then quadratic equation 2x
2
+ 5x – 7 = 0 is
2x
2
+ 5x – 7 = 0
(a)
5
2
b) ─
7
2
c) ─
5
2
d)
7
2
Q.9. If one root of the quadratic equation x
2
- 4x + 1 = 0 is 2 - 3 . The other root will be
(a) 2 + 3 (b) 3 (c) 2 - 3(d)None of these
x
2
- 4x + 1 = 0 ─ 3
(a) 2 + 3 (b) 3 (c) 2 - 3 d)
Q.10. The roots of the equation : 3x
2
- 7x + 4 = 0 are
(a) Rationals (b)Irrationals (c)Positive integers (d)Complex Numbers
3x
2
- 7x + 4 = 0
a) b) c) d)

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ANSWERS(NUMBER SYSTEM)
Q.NO. ANSWERS
1 d
2 a
3 b
4 a
5 d
6 b
7 a
8 b
9 a
10 a

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AVERAGE
Q.1. The average of all prime numbers between 30 and 50 is
(a) 40 (b)39.8 (c)38 (d)41
30
a) 40 (b) 39.8 (c) 38 (d) 41
Q.2. The average of 11 numbers is 60. If the average of first six numbers is 58 and that of last six is 63,
then the sixth number is
(a) 66 (b)66.5 (c)62 (d)65
(a) 66 (b)66.5 (c)62 (d)65
Q.3. Shivani has twice as much money as Adityaand Aditya has 50 % more money than what Sahil has. If
the average money with them is Rs. 110, then Shivani has Rs.
(a) 55 (b)60(c)90 (d)180
%
(a) 55 (b)60(c)90 (d)180
Q.4. The average weight of 6 boys decreases by 3 kg when one of them weighing 80 kg is replaced by a
new boy. The weight of new boy is
(a) 56 kg (b)58 kg (c)62 kg (d)76 kg
(a) 56 (b)58 (c)62 (d)76
Q.5. The average price of three items is Rs. 15000. If their prices are in the ratio 3:5:7, the price of
cheapest item is
(a) Rs. 9000 (b)Rs. 15000 (c)Rs. 18000 (d)Rs. 21000

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(a) Rs. 9000 (b)Rs. 15000 (c)Rs. 18000 (d)Rs. 21000
Q.6. Five years ago, the average age of A,B,C,D was 45 years with E joining them now. The average of all
the five is 49 years. How old is E
(a) 25 years (b)40 years (c)45 years (d)64 years
A,B,C,D E E
E
(a) 25 (b) 40 (c) 45 (d) 64
Q. 7. The average temperature on Monday, Tuesday and Wednesday was 36 degrees C. Average
temperature on Tuesday, Wednesday and Thursday was 38 deg. C. If the temperature on Thursday was
37 deg. C, then the temperature on Monday was
(a) 38 d C (b)31 degree C (c)37 degree C (d)33.5 degree C
(a) (b) (c) (d)
Q.8. The average of 5 consecutive numbers is n. If the next two numbers are also included, the average
will
(a) increase by 1 (b)remain the same (c)increase by 2 (d)increase by 1.4
‘n’
a) b)
c) d)
Q.9. A man goes at the speed of 5 km/hour from P to Q and returns at the speed of 3 km/hour from Q to P.
The average speed of whole journey is
(a) 4 km/hour (b)0.25 km/hour(c)4.5 km/hour (d)3.75 km/hour

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P Q / Q P /
(a) 4 / (b) 0.25 / (c) 4.5 / (d) 3.75 /
Q.10. Four years ago, at the time of marriage, the average age of a couple was 20 years. Now they have a
child of age 3 years, then average age of this family is
(a) 16
1
3
years (b)
2
3
years (c)17 years (d)16 years
a) 16
1
3
(b)
2
3
(c)17 (d)16

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ANSWERS(AVERAGE)
Q.NO. ANSWERS
1 b
2 a
3 d
4 c
5 a
6 c
7 b
8 a
9 d
10 c

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PASSAGE QUESTIONS
Q.1 –Q.5:- In the following Pi-chart, peoples of different age group are demonstrated. If the total
population of the town is 10,000 pick out the right answers based on the given pi- chart:
Q.1.How many peoples of age group 40-50 less than number of peoples of age group 20-30:-
(a) 667 (b)567 (c)1333 (d)1667
Q.2. What is the ratio of 30-40 group to 10-20 year group
(a) 2:1 (b)4:3(c)1:2 (d)9:4
Q.3. Sum of 10-20 age group people and 40-50 years age group people will be
(a) 20-30 age group people (b)30-40 age group people(c)upto 10 years age group (d)None of these
Q.4. What % of upto less than 10 years age group people of the total population
(a) 36 % (b)10 % (c)25 % (d)72 %
Q.5. What is difference of people of least age group and greatest age group
(a) 1500 (b)2000 (c)1000 (d)450
Less than10
36 degree
10-20Years
48 degree
20-30 years
96 degree
30-40YEARS
108 DEGREE
40-50 YEARS
72 DEGREE
< 10 BET10-20 20-30 30-40 40-50

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a) 667 b) 567 c) 1333 d)1667
2)
a) 2:1 b) 4:3 c) 1:2 d) 9:4
3) 10-20
a) b)
c) d)
a) 36% b) 10% c) 25% d) 72%
5)
a) 1500 b) 2000 c) 1000 d) 450
Less than10
36 degree
10-20Years
48 degree
20-30 years
96 degree
30-40YEARS
108 DEGREE
40-50 YEARS
72 DEGREE
< 10 BET10-20 20-30 30-40 40-50

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Euler’s formula for convex surface is V + F = E + 2, where V=vertices, F=faces and E= edges
Q.6. If number of faces in a cuboid are 6, number of vertices are 8, then number of edges will be
(a) 12 (b)14(c)10 (d)8
Q.7. Number of faces in a tetrahedron will be
(a) 6 (b)4(c)8 (d)None of these
Q.8. Number of edges in a cone will be according to formula
(a) formula not applicable (b)1(c)3 (d)2
Q.9. Which one of the following is not a convex figure
(a) cube (b)rectangular prism(c)tetrahedron (d)Sphere
V+F=E+2 V= F= E=
a) 12 b) 14 c) 10 d) 8
a) 6 b) 4 c) 8 d)
a) b) 1 c) 3 d) 2
a) b) c) d)

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Fundamental Theorem of algebra says that any polynomial equation of degree n has n roots – real or
complex and no more also complex and irrational roots exists in pair contrary to it any trigonometric
equation has infinite number of roots
Q.10. Which one of the equation is a polynomial equation:-
(a) (x
2
- 2x + 5 )/(x-1)=0 (b)3x3/2
+5x-1=0 (c)sin x + x=0 (d)x3
– 2 x2
+ 5=0
Q.11. Number of zeroes/roots of the polynomial equation x4
+ 1 = 0 will be
(a) 1 (b)2(c)4 (d)3
Q.12. If one zero/root of the polynomial equation x
2
- 4x + 1=0 is 2 + 3 then the other root will be
(a) 2 – 3(b) 3 (c)2 (d)none of these
Q.13. If the sum and product of roots are -2 and -3 respectively, then the quadratic equation is
(a) x
2
- 2x + 3=0 (b)x
2
+ 2x - 3=0 (c)x
2
- 2x - 3=0 (d)x
2
+2x + 3=0
Q.14. Number of zeroes of the equation sin x = ½ will be
(a) 1 (b)Infinite(c)2 (d)3
n n n
a)
𝑥2−2𝑥+5
𝑥−1
= 0 b) 3x3/2
+5x-1=0
c) sin 𝑥 + 𝑥 = 𝑜 d) 𝑥3
-2𝑥2
+5=0
11) 𝑥4
+1=0 /
a) 1 b) 2 c) 4 d)3
12) 𝑥2
− 4𝑥 + 1 = 0 / + 3

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a) 2- 3 b) 3 c) 2 d)
-2 -3
a) 𝑥2
− 2𝑥 + 3 = 0 b) 𝑥2
+ 2𝑥 − 3 = 0
c) 𝑥2
− 2𝑥 − 3 = 0 d) 𝑥2
+ 2𝑥 + 3 = 0
14) sin 𝑥 =
1
2
a ) 1 b) c) 2 d) 3

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ANSWERS(PASSAGE)
Q.NO. ANSWERS
1 a
2 d
3 d
4 b
5 c
6 a
7 b
8 a
9 d
10 d
11 c
12 a
13 b
14 b
GEOMETRY
Qes.1:- In the given figure PQ is a tangent to a circle of radius
5cm and PQ = 12 cm, Q is a point of contact, then QP is :-
PQ,5cm PQ = 12 cm, Q OP

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Q
P
O
(a)13cm (b)17cm (c) 7 cm (d) 119 cm
Qes.2:- To draw a line we need atleast
(a)Only a Point (b) 2 Points (c) 3 Points (d) Infinite points
2)
a) (b) (c) (d)
Qes.3:- If sum of two adjacent angles is 180 the angles will be called
(a)Complementary angles (b) Supplementary angles
(b) linear pair of angles (d) vertically opposite angles
3)
a) (b) (c) (d)
Qes.4:- No. of lines passing through a single point is
(a) One (b) Two (c) Five (d) infinite
4)
a) b) c) d)
Qes.5:- If three or more than three points lie on the same line then the points are
called

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(a)Non-collinear points (b) Collinear points
(c) Concurrent points (d) intersecting points
5)
a) b) c) d)
Qes.6:- The sum of two sides of a triangle in comparison to third side is always
(a)Equal (b) greater (c) less (d) no relation
6) /
a) b) c) d)
Qes.7:- To draw a plane we need atleast points-
(a) 2 points (b) infinite no. of points (c) 3 points (d) 5 points
7)
a) b) c) d)
Qes.8:- For similarity criterian in triangle which one we have to take as axiam
(a)SAS (b) ASA (c) AAS (d) RHS
8)
a)SAS (b) ASA (c) AAS (d) RHS
Qes.9:- Let in similar triangles ABC and DEF areas are 64cm2
and 121 cm2
respectively if EF = 15.4cmthenBC will be
(a)11.2 cm (b) 43.2 cm (c) 15 cm (d) 9.6 cm
9) ABC ~ DEF EF =
15.4 BC
(a)11.2 (b) 43.2 (c) 15 (d) 9.6

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ANSWER (GEOMETRY)
Q1:- a) 13CM
Q2:- b) 2Points
Q3:- b) supplementary
Q4:- d) infinite
Q5:- b) collinear
Q6:- b) greater
Q7:- c) 3points
Q8:- a) SAS
Q9:- a) 11.2 cm
TRIGONOMETRY
Qes.1:-If x,y,z are the interior angles of a triangle xyz. Then sin
𝑥
2
cos
𝑦+𝑧
2
+
cos
𝑥
2
sin
𝑦+𝑧
2
=?
a) 0 b) ½ c) 1 d) 2
xyz x,y z sin
𝑥
2
cos
𝑦+𝑧
2
+cos
𝑥
2
sin
𝑦+𝑧
2
b) 0 b) ½ c) 1 d) 2

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Qes.2:- The value of tan(π /2- α ) – sin( π /2 - α)cos(π/2-α) is
1/tan2
α b) tan2
α c) (cos3
α)/sin αd) 1/sec2
α
tan
𝜋
2
−∝ –sin
𝜋
2
−∝ cos
𝜋
2
−∝
a) 1
𝑡𝑎𝑛 2 𝛼
b) tan
2
𝛼 c)
cos 3∝
sin ∝
d)
1
sec 2∝
Qes.3:- if p+ 5 cosec2
73 – 5 tan2
27= 5sec 0 then value of p is
a) 1 b) 0 d)7 d) 1/7
3) p+ 5cosec2
730
- 5 tan2
27 = 5 sec 00
p
a) 1 b) 0 d)7 d)
1
7
Qes.4:- If tan α– cot α=0, 0<α<90, the value of (sin α– cosα)is
a) 1 b)2 c) -2 d) 0
4) tan 𝜃–cot 𝜃 = 0 , 00
< 𝜃 < 900
sin 𝜃 − cos 𝜃
a) 1 b)2 c) -2 d) 0
Qes.5:- If cosec(50- α) = sec(40 – 50) then value of α When 0<α<90,
Is:
a) 30 b)18 c)10/3 d)100/3
5) cosec(500
− 𝜃)= sec(4𝜃 − 500
) 00
< 𝜃 < 900
𝜃
a) 300
b) 180
c)
10 0
3
d)
100
3
0
Qes.6:- In an isosceles right angled triangle PQR, angle Q =90 then value of 2
sinp cos p is
a) 2 b)1/ 2 c) 1 d)1/2
6) PQR ∠Q=900
sin P cosP

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a) 2 b)
1
2
c) 1 d)
1
2
Qes.7:- If sin 5α = cos7α then value of 12α is
7) sin 5𝜃= cos 7𝜃 12𝜃
a)1 b)30 c)60 d)90
Qes.8:- If sec α =2/3 then value of 9 tan2
α+ 9 is
8) sec 𝜃=
2
3
tan2
𝜃+ 9
a)5 b)9 c)4 d)6
Qes.9:- If 4m(cos2
α- cos3
α)+ 1-sin2
α+1-cos2
α=2cos2
αsin2
α+1then value of m is:
m (cos2
𝜃-cos3
𝜃)+1-sin2
𝜃+1- cos2
𝜃= 2cos2
𝜃 sin2
𝜃+1
m
a)1/2 b)2 c)3 d)1/3
ANSWER
1. c
2. c
3. b
4. d
5. a
6. d
7. d
8. c
9. a

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MENSURATION
Qes.1:-If in a triangle s-a =7cm , s-b=8cm, s-c=6cm then s=?
Q1) s-a = s-b= s-c= s
a) 20cm b) 21 cm c)21 cm d)10.5cm
Qes.2:-Area of an equilateral triangle with side 6cm is
Q2)
a) 9 3cm b)6cm c)36 3cm d)6 3cm
Qes.3:-How much sheet will be required to make a container with lid whose length
is 13m , breadth is 8 m and height is 4m
Q3)
a)376𝑚2
b)256𝑚2
c)400𝑚2
d)416𝑚2
Qes.4:-If the volume and surface area of a sphere is numerically same then its
radius is
Q4)
a)3 𝜋 b)2 c)3 d)3.5
Qes.5:- One diagonal and perimeter of a rhombus are 24cm and 52cm
respectively. The other diagonal is
Q5)
𝜋 =
22
7
a)15cm b)12cm c)10cm d)13cm
Qes.6:- If half the circumference of a circle is a 154cm. then diameter of the
circle is (π=22/7)

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Q6) 𝜋 =
22
7
a)64cm b)78cm c)86cm d)98cm
Qes.7:- Find the length of the largest rod that can be placed in a box whose
dimensions are 30cm, 24cm and 18cm?
Q7)
a)30 3cm b)30cm c)30 2 cm d)30 5 cm
Qes.8:- The curved surface area of a cone is twice the curved surface area of
other cone and the slant height of latter is twice the slant height of first
cone. Find the ratio of their radii?
Q8)
a)1:4 b)22:41 c)4:1 d) 41:22
Qes.9:- If the circumference of edge of a hemisphere is 132cm, find the radius of
hemisphere:
Q9)
a)10.5cm/( ) b)21.2cm/( )
c)21.5cm/( ) d)21cm/( )
Qes.10:- The volume a cylindrical pipe is 7392cm3
. Its length is 21cm and its
external diameter is 22cm. its thickness is.
Q10)
a) 0.5cm( ) b)3cm ( )
c)4cm ( ) d)2cm ( )

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Qes.11:- If the perimeter of a circle is increased by 20%, then area will be
increased by
a)44% b)40% c)46% d)48%
Q11) 20%
a) 44% b)40% c)46% d)48%
ANSWER MENSURATION
1. c
2. a
3. a
4. c
5. c
6. d
7. c
8. c
9. d
10. b
11. a
Percentage
Qes.1:- Increase of 20% in Rs 400 gives a total of
(a) Rs 480 b)Rs 320 c)Rs 420 d)Rs380
Q1) ₹400 20%
a) ₹480 b)₹ 320 c)₹ 420 d)₹ 380
Qes.2:- Decrease of 25% in Rs 500 will give a total of

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a) Rs375 b)Rs625 c)Rs 525 d)Rs475
Q2)₹500 25%
a) ₹375 b)₹625 c)₹ 525 d)₹475
Qes.3:- Increase of a% & decrease of b% subsequently denoted by.
a) (a+b+ab/100)% b) (a-b+ab/100)% c)(a-b-ab/100)% d)none
Q3) a% b%
a) a + b +
ab
100
% b) 𝑎 − 𝑏 +
𝑎𝑏
100
%
c) 𝑎 − 𝑏 −
𝑎𝑏
100
% d)
Qes.4:- Calculation a single discount equivalent to a series of discounts 20%,
10%, 5%
a)35% b)70% c)68.4% d)35.8%
Q4) % %, %
a) 35% b)70% c)68.4% d)35.8%
Qes.5:- The daily salary of a worker is first increased by 20% & subsequently
reduced by 20%. If the original wages is Rs 500, then his wages after
reduction is
a) 480RS b)540Rs c)440Rs d)600Rs
Q5) % %
a) ₹480 b)₹540 c)₹440 d) ₹600

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Qes.6:- Naresh increased the length of a rectangle by25%. To keep the area
unchanged breadth will be reduce by:-
a)25% b)50% c)20% d)no change
Q6) 25%
a)25% b)50% c)20% d)no change
Qes.7:- If kunal‟s salary is 150% of ashu‟s salary &ashu‟s salary is 80% of
kunal‟ssalary .then the ratio of salaries of kunal&ashu.
Q 7) % %
a) 3:4 b)4:5 c)5:6 d)15:8
Qes.8:- The price of sugar rises from Rs 36kg to Rs 45kg. no increase in
expenditure will have to reduce the consumption by-
Q8) ₹36/ ₹45/
a) 20% b)25% c)50% d)15%
Qes.9:- In an examination 15% student fail in subject A &10% fail in object B. If
2% student fail in both. Find percentage of student pass in both?
Q9) 15% A 10% B
2%
a) 23% b)27% c)73% d)77%
Qes.10:- In an examination a candidate who secures 30% of the maximum marks
fails by 24 marks & another candidate who secures 35% of maximum
marks gets 16 marks more than necessary to pass. Then maximum
marks are

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Q10) 30% 24 35%
16
a) 600 b)700 c)800 d)900
Qes.11:- In an office 80% prefer tea, 40% prefer coffee. If each of them prefer tea
or coffee & 80 like both then total number of workers in the office will be.
Q11) 80% 40% 80
a) 400 b)300 c)200 d)none
ANSWER
1. a
2. b
3. c
4. c
5. a
6. c
7. c
8. a
9. d
10. c
11 a

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PROFIT AND LOSS
Q.1:- If c.p is Rs 200 & a person gain 25% then s.p will be –
a) Rs225 b)Rs250 c)Rs175 d)Rs150
Q1) ₹200 25%
a) ₹225 b) ₹250 c) ₹175 d) ₹150
Q.2:- If M.P. is Rs 200 & a discount of 25% is given then S.P. is
a)Rs250 b)Rs225 c)Rs175 d)Rs150
Q2) ₹200 25%
a) ₹250 b) ₹225 c) ₹175 d) ₹150
Qes.3:- The cost price of 20 articles is same as selling price of articles. If profit is
25% than x equals-
a)15 b)16 c)17 d)18
Q3)20 𝑥 25% 𝑥 =
a)15 b)16 c)17 d)18
Qes.4:- In a shop, price marked on articles are 20% above cost price
shopkeeper allows a discount & gain 8% ,discou22nt % will be-
a)10% b)15% c)20% d)25%
Q4) 20%
8%
a) 10% b) 15% c) 20% d) 25%
Qes.5:- Kartikay sold two articles for RS 297 each, gaining 10% an one & losing
10% on the other. Find gain % or loss %
a)loss 1% b)gain 1% c) p 2% d)neither gain nor loss
Q5) ₹297 10% 10%
% %

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a) 1% b) 1% c) p 2% d)
Qes.6:- Dhruv sold an articles to puru at a gain of10%. Puru sold to tosh at a
loss of 10%. Tosh paid Rs396 for the articles then cost of articles forDhruv will be
a)Rs360 b)Rs400 c)Rs440 d)Rs392.04
Q6) 10% 10%
₹396
a) ₹360 b) ₹400 c) ₹ 440 d) ₹392.04
Qes.7:- A pen when sold at a profit of 7 ½ % yieldsRs 7.50 more than when it is
sold at a loss of 7½ %then cost prices of pen will be
a)Rs40 b)Rs50 c)Rs56 d)Rs45
Q7) 7
1
2
% ₹ 7.50 7
1
2
%
a) ₹40 b) ₹50 c) ₹ 56 d) ₹45
Qes.8:- A person soldan articles at a gain of 20%. had he bought it at 20% loss
& sold it for Rs20 more he would have gained 60%. Find the cost price of the
articles.
a)Rs200 b)Rs250 c)Rs300 d)Rs150
Q8) 20% 20%
₹20 %
a) ₹200 b)₹250 c) ₹300 d) ₹150

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ANSWER
1. b
2. d
3. b
4. a
5. a
6. b
7. b
8. b
Time, Speed & Distance
Qes.1:- A bus runs from A to a place B in one hour & 20 min. if the speed of the
bus is 42km/h. the distance between places A to B
Q1) A B
A B
a) 42km b)63km c)40km d)54km
Qes.2:- A takes 50 minutes during a journey. If he reduce time taken by 20%
then he has to complete the same journey in-
Q2)A 20%
a)55min b)40min c)60min d)10min
Qes.3:- Dinesh covers a distance in 50min at a speed of 60km/hr to reduce the
time taken by 10%, he will drive at a speed of-

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Q3) / 10%
a) 66km/h b)66
2
3
km/h c)60 km/h d)70 km/h
Qes.4:- If a train has to cross a pole, distance travelled by it is –
a)length of train b)length of platform c)length of pole d)none
Q4)
a) b)
c) d)
Qes.5:- How long will a metro train 80m long, travelling at 120km/hrtake to pass
a pole.
a)1
1
5
sec b)2
2
5
sec c)1sec d)1
1
2
sec
Q5) 80 /
a)1
1
5
sec b)2
2
5
sec c)1sec d)1
1
2
sec
Qes.6:-If a train has to cross a platform it has to cover a distance equal to
a)length of train +length of platform c)length of train xlength of platform
b)length of train - length of platform d) length of train÷length of platform
Q6)
a) +
b) -
Qes.7:- A train 100m long passes a bridge in 25sec. moving at a speed of
72km/hr. what is the length of bridge.
a)200m b)400m c)300m d)400m
Q7) 100 72 / 25

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a) 200 b) 400 c) 300 d) 400
Qes.8:- A train is 160m long & is running at a speed of 60km/h. find the time that
it will take to pass a person who is running at 10km/h in the direction of
train.
a)11sec b)10.52sec c)11.52sec d)10.08sec
Q8)160 60 / /
a)11sec b)10.52sec c)11.52sec d)10.08sec
Qes.9:- If speed of boat in still water is x km/hr& speed of stream is y km/hr,then
speed upstream &speed downstram are
a) (y-x)km/hr,(x+y)km/hr b) (x+y)km/hr,(x-y)km/hr
c )x km/hr, y km/hr d) (x-y)km/hr,(x+y)km/hr
Q9) x / y /
a) 𝑦 − 𝑥 / 𝑥 + 𝑦 /
b) 𝑥 + 𝑦 / 𝑥 − 𝑦 /
c) x / y /
d) 𝑥 − 𝑦 / 𝑥 + 𝑦 /
Qes.10:- A swimmer swims 36 km with the stream in 6 hours & 40 km against the
stream in 8 hours. His speed in still water is-
Q10)
a) 4.5 km/hr b) 5.5 km/hr c) 6 km/hr d) 6.5 km/hr

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Time speed & distance
(ANSWER KEY)
1 - d
2 - b
3 - b
4 - a
5 - b
6 - a
7 - b
8 - c
9 - d
10 - d

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Time & Works:-
1. If A finishes a piece of work in 10 days then 1 day work of A will be-
a) 1 b) 1/10 c) 1/5 d) ½
Q1) A 10
a) 1 b)
1
10
c)
1
5
d)
1
2
2- If A finishes a work in 10 days and B alone can do the same in 15 days then1
day work of both working together will be-
a) 1/10 b) 1/15 c) 1/10+1/15 d) 1/10-1/15
Q2) A 10 B 15
a)
1
10
b)
1
15
c)
1
10
+
1
15
𝑑)
1
10
-
1
15
2. A & B can do a piece of work in 10 days. A alone can do it in 15 days. How
long will B alone take to do the work?
a) 10 days b) 30 days c) 25 days d) 35 days.
Q3) A B 10 A 15
B
a) 10 b) 30 c) 25 d) 35
3. If a leakage can empties a full tanker in 8 hours then what part of tanker will be
emptied in 1 hour ?
a) 1/8 b) 8 c) 1/2 d) ¼
Q4)
a)
1
8
b) 8 c)
1
2
d)
1
4

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4. Pipe A can fill a tank in 20min.& pipe B can empty it in 30 min. If both are
opened together, in what time will the tank be filled?
a) 1 hour b) 45 min. c) 10 min. d) 50 min.
Q5) A B
a) 1 hour b) 45 min. c) 10 min. d) 50 min.
5.Pipe A can fill a tank in 2 1⁄2 hrs, but due to a leakage in the bottom of tank it
taken 15 min., longer to fill it. If the tank be full & the pipe be turned off, in how much
time the tank be emptied by the leakage.
a) 27 hours b) 5 hours c) 27 1/2 hours d) 55 hour
Q6)
1
2
a) 27 hours b) 5 hours c) 27
1
2
hours d) 55 hour
5. A & B working together can finish a work in 24 days. The same work can be
finished by B & C working together in 30days. If C & A work together they can finish
the same work in 40days. The number of days A, B & C separately can finish are
a) 60,40,20 b) 40,60,20 c) 40,40,20 d) 20,40,60
6. A can do a piece of work in 12 days & B can in 20 days. B begins the work &
after 4 days is joined by A. how long will they take to finish the remaining work?
a) 8 days b)16 days c) 6 days d)4 days
Q8)A 12 B 20 B
A
a) 8 days b)16 days c) 6 days d) 4 days
7. For doing a certain work, A‟s ability is equal to the joint ability of B & C. if A &
B together could do it in 6 hours 36 min.& C by himself in 48 hours, in what time
could B alone do it?
a) 12 hours b) 12 hours 18 mins c) 10 hours d) 24 hours

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Q9) A B C A B
C B
a) 12 hours b) 12 hours 18 mins c) 10 hours d) 24 hours
8. 6 women and 5 children together can finish a work in 6 days. 3 women & 4
children together completes the same work in 10 days. Time taken by 9
woman & 15 children to finish the work is -
a) 3 days b) 4 days c) 3 ½ days d) 5 days
Q10) 6
a) 3 days b) 4 days c) 3 ½ days d) 5 days

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TIME AND WORK
(ANSWER KEY)
1 - b
2 - c
3 - b
4 - a
5 - a
6 - c
7 - a
8 - c
9 - d
10 - a

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Ratio & Proportion
1. 5:4 = x:20 then x will be
1) =x:20 x
a) 16 b) 5 c) 4 d) 25
2.Find third proportional of 9 & 12
a) 16 b) 9 c) 10 d) 12
3. Find fourth proportional of 6, 7 & 12
3)
a) 6 b) 7 c) 14 d) 12
4. If A:B = 3:4, B:C = 8:9, C:D = 15:16 then A:B:C:D will be
4) A:B = 3:4, B:C = 8:9, C:D = 15:16 A:B:C:D
a) 30:40:45:48 b) 40:30:45:48
c)30:40:48:45 d) None ( )
5. If arithmetic mean : Geometric mean = 5:3 then the ratio of the numbers will be
5) = 5:3
a) 1:9 b) 25:9 c) 9:1 d)3:5
6. Divide 275 toffees among A,B& C such that the ratio between A&B is
3:7& that between B&C is 2:5 then B has-------- toffees
6) A,B C A:B = 3:7,B:C = 2:5 , B
a)60 b)70 c)75 d) 1
7. Divide Rs 1050 among A, B & C so that A shall receive 2/5 as much as B & C
together & B shall receive 3/7 of what A&C together receive

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7) ₹1050 A,B C A B C B A C
a)Rs 310, Rs 315, Rs 425 b)Rs 309, Rs 305, Rs 445
c) Rs 300, Rs 315, Rs 435 d) None ( )
8. In four halls there are 168 teachers attending a seminar such that the ratio of teachers
sitting In rooms I, II, III & IV are as follows
I:II =8:9, II:III = 3:4, III:IV = 12:13. What will be the number of teachers in each hall ?
8) I,II,III,IV I:II=8:9, II:III=3:4,
III:IV=12:13
a) 30, 36, 48, 54 b)32, 36, 48, 52
c) 32, 34, 50,52 d) 32, 38, 48, 50
9. Books in three shelfs of an almirah in library are in the ratio 2:3:5 If 20 books are
increased on each shelf ,the ratio change to 4:5:7 Originally how many books were there
in the almirah?
9) 2:3:5
4:5:7
a) 80 b)140 c)120 d) 100
10. When 30% of a number is added to another number, the second number increases
to 140%. The ratio between the first & second number will be
10) 30% 140%
a) 4:3 b) 3:4 c)7:3 d) 7:4
9. A,B,C enter into partnership. A invest Rs 1400 for 8 months,BRs 1800 for 7 months
& C Rs 2100 for 4 months, they gain Rs 690 together. The share of A,B,C will be

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9) A,B,C A ₹1400, B ₹1800 C
₹2100 A, B C
a)270,240,180 b)180,240,270 c)240,270,180 d)none ( )
12. Richa, Nishi &Priya rented a room together for one year at Rs 28800. They
remained together for 4 months & then Priya left the room after 5 month Nishi also left
the room , how much rent should each pay?
a)Rs16000,Rs9000,Rs3800 b)Rs16000,Rs8000,Rs4800, c)Rs16400,RS9200,Rs3200
d)Rs16200,Rs9400,Rs3200
12) ₹28800
a)₹16000,₹9000,₹3800 b)₹16000,Rs8000,Rs4800,
c)₹16400,₹9200,₹3200 d)₹16200,₹9400,₹3200
13. Divide the profit of Rs 69230 among three partnersA,B.and C who invest their
capitals in the ratio of their ages .If 2/3 of A‟s age = 4/3 of B‟s age and also equal to 5/6
of C‟sage:
a)Rs30100,Rs15050,RS24080 b)Rs15050,Rs24080,Rs30100
b)Rs15050,Rs30100,Rs24080 d)none
13)₹69230 A B,C
₹
A
2
3
= B
4
3
= C
5
6
a)₹30100,₹15050,₹24080 b)₹15050,₹24080,₹30100
b) ₹15050, ₹30100, ₹24080 d)

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ANSWER
1 d
2 a
3 c
4 a
5 c
6 b
7 c
8 b
9 d
10 a
11 c
12 c
13a
SIMPLE INTEREST AND COMPOUND INTEREST
Qes.1:- The rate at which a sum become four times of itself in 15 year at S.I
1)
a)20% b)25% c)15% d)18%
Qes.2:- In what time a sum will become three times of itself at the rate of 10%
per annum?
a)10year b)15year c)20year d)25year

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2) 10%
a)10 b)15 c) 20 d) 25
Qes.3:- What will be simple interest on Rs600 at the rate 3 ½ % per annum for 4
year
a)Rs80 b)Rs90 c)Rs87 d)Rs84
3)₹600
1
2
%
a)₹80 b) ₹90 c) ₹87 d) ₹84
Qes.4:- If a sum become double in 16 years then how much it become in
8years?
a)1 ½ b)3 c)3 ½ d)2
4)
a)1
1
2
b) 3 c) 3
1
2
d)2
Qes.5:- A person borrowed RS500 at the rate of 5% per annum at S.I what
amount will he pay to clear the debt after 4 year?
a)Rs500 b)Rs600 c)Rs450 d)Rs400
5) ₹ 5%
a) ₹500 b) ₹600 c) ₹450 d) ₹400
Qes.6:- What will be compound interest on Rs 15000 at 8% per annum for
1yearcompounded half yearly.
a)Rs1224 b)Rs1300 c)Rs1200 d)Rs1000
6)₹15000 8%
a) ₹1224 b) ₹1300 c) ₹1200 d) ₹1000

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Qes.7:- If population of certain city is 10648. If it increases at the rate .10% per
annum.What was the population of city 3 years ago?
7) 10%
a)6000 b)10000 c)8000 d)5000
Qes.8:- The diffrence in compound interest and simple interest on a certain
amount at 10% per annum at the end of third year is Rs620. What is the principal
amount?
a)Rs25000 b)Rs20000 c)Rs15000 d)Rs10000
8) % ₹620
a)₹25000 b) ₹20000 c) ₹15000 d) ₹10000
ANSWER (SIMPLE INTEREST)
Q1. a 20%
Q2. c 20year
Q3. d Rs84
Q4. a 1 ½
Q5. b Rs600
Q6. a Rs1224
Q7. c 8000
Q8. b Rs20000

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STATISTICS AND PROBABLITY
Qes.1:- If the observation :29,32,48,50,x,x+2,72,78,84,95 are put in ascending
order and mean is given as 63. Then value of x will be
a)62 b)64 c)50 d)52
1) x
a)62 b)64 c)50 d)52
Qes.2:- A class teacher has recorded absent of her 40 students during a
session. Mean, mode and median of a student absents of the following
data will be
No. of
days
0-6 6-12 12-18 18-24 24-3 30-36 36-42
No, of
students
4 6 8 10 8 6 4
a)different b)equal c)mean=moded)mean>mode>median
2)
0-6 6-12 12-18 18-24 24-3 30-36 36-42
4 6 8 10 8 6 4
a) b) c) = d) > >
Qes.3:- Which one can not be the probability of an event
a) 2/3 b)-1.5 c)15% d)0.7
3)

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a)
2
3
b)-1.5 c)15% d)0.7
Qes.4:- If probability of wining a game is 7/11 then what is the probability of its
losing
a)1 b)3/11 c)2/11 d)4/11
4)
7
11
a)1 b)
3
11
c)
2
11
d)
4
11
Qes.5:- What is the mean of first 9 multiples of 3?
a)15 b)18 c)10 d)21
5) 3 9
a)15 b)18 c)10 d)21
Qes.6:- The probability of having 53 Mondays in a leap year is?
a) 1/7 b)2/7 c)3/7 d)1/5
6) 53
a)
1
7
b)
2
7
c)
3
7
d)
1
5
Qes.7:- A cricketer has an average score of 60 runs in 10 innings. The number
of runs he has to take in eleventh inning, to raise the mean score to 62
is:
a)2 b)82 c)62 d)22
7)
a)2 b)82 c)62 d)22
Qes.8:- The mean of 15 numbers is 25. If 4 is sub tracted from every number,
what will be the new mean?

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a)29 b)11 c)21 d)19
8) 15 25
a)29 b)11 c)21 d)19
Qes.9:- In a bag there is 7red , 5 white, and 9 black balls. If a ball is drawn from
a bag, what is the probability of it not a red ball?
a)1/3 b)2/3 c)1 d)3/2
9)
a)
1
3
b)
2
3
c)1 d)
3
2
ANSWER(STAITSTICS AND PROBABILITY)
Q1. a (62)
Q2. b (equal)
Q3. b (-1.5)
Q4. d (4/11)
Q5. a (15)
Q6. b (2/7)
Q7. b (82)
Q8 . c (21)
Q9. b (2/3)

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SECTION -C
ENGLISH CONVENTIONS

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PASSAGES
READ THE PASSAGE AND COMPLETE THE SENTENCES GIVEN BELOW:
Issac Newton was born on Christmas Day in 1642. He was born premature and was so frail
that he was not expected to survive the day. His father who owned a modest farm, had
died several months before he was born. His mother remarried and he was put in the care
of his grandmother. Newton did poorly at king’s school, but something happened to cause
a dramatic change in his life. He was kicked in the stomach by his classmate on the way to
school. He decided to beat the boy in the fight and beat him in his school work as well. He
began to work on his new challenge. Newton came in top of the class.
(i) Newton was not expected to survive because
(a) He was born premature
(b) He as injured
(c) He was suffering from a deadly disease
(d) He was premature and weak.
(ii) He was put in the care of his grandmother because
(a) He was very naughty
(b) His father died and mother remarried
(c) He was not interested in studies
(d) He loved his grandmother.

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(iii) The performance of Newton in the school was________________
(a) good (b)satisfactory (c)poor (d)excellent
(iv) _____________brought a dramatic change in Newton
(a) Death of his father
(b) remarriage of his mother
(c) kicking in the stomach
(d) decision to excel the boy
(v) His father who owned a modest farm, means
(a) He was weak
(b) He was robust
(c) He was modern
(d) He was poor
(vi) Newton did poorly at king’s school
(a) He was very poor at king’s school
(b) His performance was not good at king’s school
(c) His school was poor
(d) He liked at king’s school
(vii) He began to work on his new challenge. His new challenge was
(a) to beat the boy in fight
(b) to beat and run away
(c) to outdo him in fight and in performance at school
(d) to be beaten up by the boy.

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Para-II
Pablo Picasso showed his truly exceptional talent from very young age. His first work was
Lapiz (Spanish for pencil) and he learnt to draw before he could talk. He was the only son in
the family and very good looking. So he was thoroughly spoilt. He hated school and often
refused to go unless his doting parents allowed him to take one of his father’s pet pigeons
with him. Apart from pigeons, his great love was art and when in 1901, his father, who was
an amateur artist, got a job of a drawing teacher at a college, Pablo went with him to the
college. He often watched his father paint and sometimes was allowed to help. One
evening his father was painting a picture of their pigeons when he had to leave the room.
He returned to find that Pablo had completed the picture and it was so amazingly beautiful
and lifelike that he gave his son his own palette and brushes and never painted again. Pablo
was just 13.
(i) As a boy Pablo Picasso was_____________________
(a) handsome and hardworking
(b) handsome and studious
(c) handsome and talented
(d) ordinary looking and talented
(ii) He was spoilt mostly because he was____________________
(a) smart boy (b) loved by one and all (c) the only son in the
family

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(d) was friend with bad boys
(iii) Picasso went to school only when__________________
(a) his friends accompanied him
(b) his parents gave him money
(c) he was allowed to paint
(d) he was allowed to carry a pet with him
(iv) Apart from pigeons, he loved___________________
(a) singing (b) dancing (c) drawing & painting
(d) eating
(v) When his father painted in the college, Pablo
(a) occasionally helped him
(b) rarely helped
(c) always helped him
(d) invariably helped him
(vi) When Pablo completed the picture, his father______________
(a) did not like it
(b) rebuked him
(c) was impressed by him
(d) slapped him
(vii) Pablo’s father gave up painting_________________

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(a) after he was impressed by his son’s painting
(b) as he got ill
(c) he did not like it
(d) as he was asked to stop it.
Para – III
As s student, I had heard that the lawyer’s profession was a liar’s profession. But this did
not influence me, since I had no intention of earning either position or money by lying, my
principle was put to the test many times in South Africa. Often I knew that my opponents
had coached their witness; and if I only encouraged my client or his witness to lie, we could
win the case. But I always resisted the temptation. I remember only one occasion when,
after having won the case, I suspected that me client had deceived me. In my heart of
hearts, I always wished that I should win only if my client’s case was right. In fixing my fees,
I do not recall ever having made them conditional on my client won or lost. I expected
nothing more or less than my fees.
(i) Gandhiji had no intention of earning________________
(a) fame by lying
(b) position or money by lying
(c) influence by lying
(d) money by cheating
(ii) Gandhiji had heard that lawyer’s profession was the ________________
(a) profession of a nobleman
(b) profession of poor
(c) profession of a liar
(d) profession of learned people
(iii) Gandhiji resisted the temptation of _____________________
(a) becoming a lawyer

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(b) encouraging his client to lie
(c) cheating his client
(d) helping his client
(iv) Gandhiji wished that
(a) his client deceived him
(b) that he should win if client was right
(c) his client should lie
(d) other lawyer should withdraw
(v) My opponents had coached their witness. ‘Coached’ means
(a) carriage (b) tutored (c) scratched (d) encouraged
(vi) Change ‘resisted’ into noun form
(a) resist (b) resists (c) resistance
(d) resistence
(vii) Change ‘expected’ into noun form
(a) expects (b) expect (c) expact (d) expectation

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SECTION B
Following are the passages with blanks numbering (i) to (viii). Read the passages carefully
and complete the passages with suitable words out of the four alternatives given:
Para 1
Thomas Edison was an American scientist. He (i) many inventions. Once he (ii) on
making (iii) electric bulb. He (iv) sure that his electric bulb (v) gas lights
in streets. He wanted (vi) the people a safe method of lighting. He (vii)
satisfactory electric bulb. He (viii) convince people that it was better than
gas lamps.
(i)
(a) makes (b) made (c) was making (d) was made
(ii)
(a) is worked (b) has worked (c) worked (d) was working
(iii)
(a) an (b) a (c) the (d) some

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(iv)
(a) was (b) is (c) were (d) had been
(v)
(a) will replace (b) would replace (c) were replaced (d) was replacing
(vi)
(a) to gave (b) giving (c) given (d) to give
(vii)
(a) produces (b) produced (c) produce (d) was produced
(viii)
(a) has to(b) had to (c) were to (d) will convince
PARA – II
Parents (i) not be equipped (ii) sound career advice. They (iii)
their child in an unwanted direction. They (iv) their child’s interest, otherwise
they (v) gross mistakes. If (vi), children (vii) dissatisfied with their studies and
careers and (viii) self-esteem. Therefore parents need to be very sensitive,

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(i)
(a) will be (b) were (c) had (d) may
(ii)
(a) offering ((b) offered (c) to offer (d) offer
(iii)
(a) may force (ii) might force (c) forced (d) had forced
(iv)
(a) might analyse (b) may analyse(c) need to analyse (d) needed to
analyse
(v)
(a) would commit (b) might commit (c) should commit (d) had
committed
(vi)
(a) force (b) forcing (c) will force (d) forced
(vii)

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(a) may be (ii) would be (iii) will be (iv) are
(viii)
(a) will lose (b) are losing (c) has lost (d) lose
PARA – III
Gandhiji (i) to Molihari (ii) capital of Champaran. . He (iii)
by several lawyers. (iv) railway station, a huge crowd (v) him. He (vi) to a
house and (vii) it as headquarters. A report came in that a peasant (viii) in a
nearby village.
(i)
(a) proceed (b) will proceed (iii) proceeded (iv) has proceeded
(ii)
(a) an (b) a (c) the (d) its
(iii)
(a) was accompanied (b) accompanied (c) has been accompanied
(d) has been accompanying
(iv)

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(a) on (b) in (c) by (d) at
(v)
(a) greet (b) greeted (c) was greeting (d) had greeted
(vi)
(a) go (b) gone (c) went (d) had gone
(vii)
(a) used (b) has used (c) was used (d) was using
(viii)
(a) maltreat (b) maltreated (c) was maltreated
(d) was maltreating
PARA – IV
In a protein-conscious and protein hungry world, over-fishing (i) common
everyday. In poor countries, local forests (ii) in order (iii) firewood
for cooking. In some places, firewood (iv) so expensive that “what goes
under the pot now(v) more than what goes inside it.” Since tropical forest is
(vi) Dr. Myers, “the powerhouse of evolution”, several species of life

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(vii) as a result of its destruction. The World Bank estimates that
(viii) in the rate of forest planting is needed to cope with the expected fuelwood
demand in the year 2000.
(i)
(a) was (b) is (c) has been (d) had been
(ii)
(a) has decimated (b) had decimated (c) are being decimated
(d) was being decimated
(iii)
(a) to procure (b) procured (c) procuring (d) is procured
(iv)
(a) is became (b) became (c) has become (d) becomes
(v)
(a) cost (b) costed (c) costs (d) will cost
(vi)
(a) by the words of (b) in the words of (c) at the words of (d) of the
words of

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(vii)
(a) face extinction (b) faced extinction (c) will face extinction
(d) had faces extinction
(viii)
(a) the five fold increase (b) a five fold increase(c) the five fold increasing
(d) a five fold increasing
PARA – V
A classical Chinese landscape (i) to reproduces an actual view, as would a western
figurative painting. Whereas the European painter wants you (ii) his eyes and
(iii) a particular landscape exactly as he saw it, from a specific angle, the Chinese
painter (iv) choose a single view point. The artist (v) for your eyes to travel up
and down, then back again, in a leisurely movement. This is even more true in the case of
the horizontal scroll, in which the action of (vi) are section paintingm then
(vii) it up to move on to the other. It also requires the (viii) of the
viewers.
(i)
(a) was not meant (b) is not meant(c) did not meant (d) is not meaning
(ii)
(a) did borrow (b) had borrowed (c) to borrow (d) is borrowed

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(iii)
(a) look at (b) looked at (c) looking at (d) looks at
(iv)
(a) is not (b) will not (c) had not (d) does not
(v)
(a) create a path (b) creates a path (c) created a path (d) is
creating a path
(vi)
(a) slowly opened (b) slowly opens (c) slowly opening (d) is slowly
opening
(vii)
(a) rolling(b) rolls up (c) rolled (d) has rolled
(viii)
(a) actively participation (b) active participated(c) active participation
(d) actively participating

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KEY
SECITON-A
PARA- I
(i) d (ii) b (iii) c (iv) d (v) d (vi) b (vii) c
PARA – II
(i) c (ii) c (iii) d (iv) c (v) a (vi) c (vii) a
PARA – III
(i) b (ii) c (iii) d (iv) b (v) b (vi) c (vii) d
SECTION B
PARA – I
(i) b (ii) d (iii) a (iv) a (v) b (vi) d (vii) b
(viii) b

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PARA – II
(i) a (ii) c (iii) a (iv) c (v) b (vi) d (vii) a
(viii) a
PARA – III
(i) c (ii) c (iii) a (iv) a (v) b (vi) c (vii) a
(viii) c
PARA – IV
(i) b (ii) c (iii) a (iv) c (v) c (vi) b (vii) a
(viii) b
PARA – V
(i) b (ii) c (iii) a (iv) a (v) b (vi) c (vii) a
(viii) c

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ENGLISH CONVENTIONS
VOCABULARY IN CONTEXT
SYNONYMS
Read the sentences given below and substitute the underlined word(s) with the
appropriate option:
1. My father is not arrogant. He talks to everyone softly.
a. kind hearted
b. abusive
c. mild
d. proud

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e.
2. It was late in the evening. So I decided to quit the practice session.
a. leave behind
b. start
c. apply
d. stop
3. In my absence, my mother looks after my children.
a. takes care of
b. plays
c. behaves friendly
d. none of the above
4. Sahar’s computer is very old. She wants to get rid of it.
a. repair
b. remove
c. make
d. change
5. The clothes are clean now. They have been washed.
a. dirty
b. clear
c. free from dirt
d. proper
6. When do you propose to hold the next meeting?
a. charge

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b. suggest
c. try
d. organize
7. Be careful lest you should bruise your knee against the wall.
a. injure
b. hit
c. strike
d. apply
8. Andrews takes great care in completion of his duties. He is a
diligent person.
a. intelligent
b. understanding
c. hard working & sincere
d. lazy and insincere
9. She does not know much of mathematics. I think she is incapable
of solving this problem.
a. able
b. expert
c. creative
d. unable
10. A man who is fragile can easily be disturbed by others.
a. delicate and sensitive
b. unknown
c. intelligent
d. foolish & non-sense
11. Don’t relax until you have finished your work completely.

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a. be careful
b. be attentive
c. rest
d. energise
12. The manager was reluctant to grant my application but he finally
agreed.
a. willing
b. unwillingly
c. demanding
d. demoralizing
13. Don’t be apprehensive about your future. God supports the hard
working men.
a. unconcerned
b. attentive
c. fearful
d. positive
14. It is cold outside but the atmosphere is cosy inside.
a. uncomfortable
b. comfortable
c. humid
d. disturbing
15. The administrator was not sure of everything. He said there was
something fishy.
a. doubtful
b. quiet

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c. fashionable
d. destructive
16. The behaviour of the principal was amicable. Everyone felt
comfortable.
a. friendly
b. talkative
c. rude
d. critical
17. Though we are saying samething but I think my idea is slightly
different from yours.
a. exactly
b. strikingly
c. to a large extent
d. to a small extent
18. All students were given verbal instructions in the morning
assembly.
a. clear
b. grammatical
c. oral
d. written
19. There has not been any significant change in our syllabus in the
last ten years.
a. small
b. private
c. important
d. deliberate

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20. A democratic government should not be rigid in its decisions.
What we need is a balanced attitude.
a. great
b. hard
c. soft
d. favourable
IDIOMATIC EXPRESSIONS
(IDIOMS/PHRASES)
21. The young boy was the apple of everyone’s eye in the family.
a. intelligent
b. liked apples
c. creative
d. very dear
22. The principal of the school is all in all in taking financial &
administrative decisions.
a. most powerful
b. efficient
c. unable
d. perfect
23. The matter of property is a bone of contention between the two
brothers.
a. a matter of agreement
b. a matter of disagreement

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c. cause of friendship
d. cause of love
24. Henry is working round the clock in order to earn money.
a. working continuously for hours
b. working intelligently
c. working to repair the clock
d. working to reach his office in time
25. Nothing is verbal in the records, the court wants everything
inblack and white.
a. in written form
b. in the library
c. done in details
d. corrected
26. In order to get success, the boss has left no stone unturned.
a. went to the mountains
b. went to the sea shore
c. tried every possible course of action
d. did not try anything
27. It was almost impossible to drive, as it was raining cats and dogs.
a. raining for cats
b. the dogs were running
c. raining heavily
d. driving fast
28. He wanted to give up smoking as the doctor has advised him not
to smoke.

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a. begin
b. discontinue
c. start afresh
d. continue for some time
29. 15th
of August 1947 is a red-letter day in our country as we got
freedom from foreigners on this day.
a. a memorable day
b. a dangerous day
c. an unimportant day
d. a day on which letters are written
30. We should not look down upon the poor, they are also human
beings.
a. to look in an interesting way
b. to look respectfully
c. to agree with
d. to look in an insulting way
31. Good values and great ideas are going to stay for good.They will
never die.
a. never
b. for ever
c. for a brief period
d. not for a single moment
32. The strike was called off and the pilots returned to work.

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a. needed
b. initiated
c. cancelled
d. invited
33. The flag was lowered down when the Prime Minister of the
country passed away
a. crossed the way
b. died
c. gave a speech
d. saluted the flag
34. You can not even imagine my miserable condition, only thewearer
knows where the shoe pinches.
a. only I know the truth
b. we are not sure of anything
c. only the sufferer knows the real situation
d. only God knows the truth
35. Whenever Akbar, the Great needed Birbal’s advice, he sent for
him.
a. ordered him to come
b. sent a letter
c. sent a gift for Birbal
d. invited Birbal to dinner
36. Before entering a place of worship, kindly take off your shoes.
a. clear
b. repair
c. wear

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d. remove
37. To avoid penalty we should abide by the rules.
a. follow
b. avoid
c. make
d. deny
38. The government gave a bail out package to save it from losses.
a. rescue from a difficulty
b. current
c. unnecessary
d. demanding
39. Football does not interest me, it is not my cup of tea.
a. very easy
b. does not suit my taste
c. I don’t like tea
d. I like tea very much
40. I have tried to do my best, in case of an emergency I will fall back
on you.
a. fire you
b. turn to you for help
c. punish you
d. appreciate you
Find out the opposites of the underlined words out of the four options given:

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41. You should be true to your words in order to establish your
integrity.
a. false
b. good
c. bad
d. understand
42. His presence isdoubtful because he is ill.
a. unclear
b. unbelievable
c. obvious
d. familiar
43. The persons who talk nonsense can be called insane.
a. understand
b. great
c. safe
d. sane
44. The decision of the committee was unanimous. Everybody was
happy with that.
a. great
b. agreed by all
c. one sided
d. unfair
45. Ganga is supposed to be a pious river. People worship it as a
mother.
a. pure

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b. impure
c. famous
d. terrible
46. Khushwant Singh’s grand-mother was pretty even though she was
very old.
a. ugly
b. beautiful
c. creative
d. impressive
47. A.P.J. Abdul Kalam is a great scientist. He was a thoughtful child in
his early age.
a. provoking
b. unattentive
c. thinking
d. careful
48. Sachin Tendulkar proved to be a gifted child of his parents.
a. skillful
b. talented
c. incapable
d. favourite
49. I could not understand your point of view. Will you please clarify?
a. confuse
b. define
c. explain
d. simplify

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50. Please don’t use offensive language for others. It is unbecoming
of an officer.
a. difficult
b. unparliamentary
c. abusive
d. respectful
KEY
1. d
2. d
3. a
4. b
5. c
6. b
7. a
8. c
9. d
10. a
11. c
12. b
13. c
14. b
15. a
16. a
17. d
18. c
19. c
20. b
21. d
22. a
23. b
24. a

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25. a
26. c
27. c
28. b
29. a
30. d
31. b
32. c
33. b
34. c
35. a
36. d
37. a
38. c
39. c
40. b
41. a
42. c
43. d
44. c
45. b
46. a
47. b
48. c
49. a
50. d

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ENGLISH SUPPLEMENTARY
Which word/phrase best explains the word and phrase in the bracket:
1. The sinking ship was constantly sending (mayday call). But nobody heard and no ship
came to rescue.
a. songs
b. emergency messages
c. sms
d. labour day messages
2. My cousin Mourad was considered the natural descendant of the(crazy) streak in
our tribe.
:
a. insane
b. historic

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c. interesting
d. clear
3. The( hilarious) act put the audience into a burst of laughter
a. distinctive
b. sad
c. funny
d. serious
4. All( hindrances )in the way of the project have been removed. We can now begin
our work
a. contemplations
b. basic needs
c. complications
d. good things
From item no. 5-15, choose the correct spellings:
5. a. administrater b. administrator c. administator
d. adminstrater
6. a. explenation b. explainationa c. explanation
d. explanaition
7. a. different b. differant c. different d. difarant
8. a. iresponsible b. irresponsible c. irresponcible

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d. irresponsibal
9. a. remorsefull b. remorceful c. remorseful
d. remorsifull
10. a. ecologeecal b. eecological c. ecological
d. ecologicale
11. a. committee b. comittee c. commitee
d. commiittee
12. a. knowlege b. knowladge c. knowledge
d. knowleddge
13. a. beauityful b. beautifull c. butifull
d. beautiful
14. a. minimum b. minnimum c. minimunn d. mainimum
15. a. astonishing b. astonishing c. estonishing
d. astanisheing
From item no. 16-20, find out the opposites of the underlined words:

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16. The enemy soldiers were captured by the Indian Army. All of them were put
in the jail.
a. imprisoned
b. gifted
c. released
d. killed
17. His boastful remarks irritate me. He always talks high of himself.
a. unnecessary
b. proud
c. plain
d. humble
18. He should appreciate good efforts of our friends.
a. clarify
b. condemn
c. understand
d. admire
19. The delightful scenery of Kashmir made me happy.
a. unpleasant
b. attractive
c. natural
d. beautiful
20. Our country is a secular country where all religions are equal

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a. same
b. special
c. different
d. unnatural
From item no. 21-25 choose the options which best explains the underline phrase/idiom:
21. Everyone knows that Mr. Sharma will be the next chairperson. It is an open-
secret.---
a. well-known fact
b. a confidential matter
c. an open file
d. a closed information
22. Nobody will believe you. It is a cock and bull story.
___________________
a. an interesting story
b. a simple fact
c. an imaginary tale
d. a fairy tale
23. The thief was arrested two days later when a friend tipped off the police
about his hide-out. _________
a. raided openly
b. informed secretly
c. calculated
d. bribed

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24. The government took a u-turn on that issue and things became as they
were earlier.
___________
a. criticized
b. moved ahead
c. described in detail
d. changed to and earlier position
25. Don’t beat about the bush, give me the exact information.
_____________
a. give new information
b. give useless information
c. give detailed information
d. tell the detailed aspects

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KEY TO SUPPLEMENTARY MATTER
1. b
2. a
3. c
4. c
5. b
6. c
7. a
8. b
9. c
10. c
11. a
12. c
13. d
14. a
15. b
16. c
17. d
18. b
19. a
20. a
21. a
22. c
23. b

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24. d
25. b
GRAMMAR AND USAGE
I Spot the errors. (Indicate the part in which the error is. Use ‘no error’ in case there is
no error in the sentences)
1. Her father/forbade her to go/to cinema/with Geeta./no error
(a) (b) (c) (d) (e)
2. We/saw/a elephant/in the zoo./no error
(a) (b) (c) (d) (e)
3. The milk/is/good/for health./no error
(a) (b) (c) (d) (e)

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4. The dog/is/a/faithful animal./no error
(a) (b) (c) (d) (e)
5. Red Fort/is a /beautiful/monument in Delhi./no error
(a) (b) (c) (d) (e)
6. The apple/a day/keeps/the doctor away./no error.
(a) (b) (c) (d) (e)
7. The fruits of/all the modern luxuries/lie/in the science./no error
(a) (b) (c) (d) (e)
8. Mrs. Geeta Paul/is/coming to /dinner./no.error
(a) (b) (c) (d) (e)
9. The Punjabi/is spoken/by the people/of Punjab./no error
(a) (b) (c) (d) (e)
10 The teacher/called a /last boy/standing in the queue./no error
(a) (b) (c) (d) (e)

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SOLUTIONS:
1. c place ‘the’ before cinema
2. c. ‘A’ is used in place of ‘An’ with elephant.
3. a. ‘The’ article is omitted before proper nouns, uncountables etc. in general.
4. e ‘The’ is used before a singular countable noun meant to represent a whole
class or kind.
5. a ‘The’ is used in front of the names of monuments.
6. a ‘An apple’- an is used before a word beginning with a vowel (a,e,i,o,u) sound.
7. d delete ‘the’ before science
8. e no error
9. a Punjabi. ‘The” is not used before the names of a language.
10. b ‘The last boy’. ‘The’ is used before the ordinals.

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II Choose the correct alternative from those given in the brackets.
1. I ______________a new car last week.
(buy/bought/have bought)
2. He will explain it to you when he____________back.
(comes/will come./came)
3. My uncle______________tomorrow.
(has arrived/arrives/will have been arriving)
4. She jumped off the bus while it _________________.
(moved/had moved/was moving)
5. The earth_____________round the Sun.
(revolves/revolve/revolved)
6. He_________________asleep while he was driving.
(fall/fell/fallen)
7. The baby____________all morning.

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(cries/is crying/has been crying)
8. She____________in the concert tomorrow evening.
(is playing/has played/has been playing)
9. I meant to repair the switch, but_____________time to as it today.
(am not having/have’nt had/had’nt)
10. Can I have some milk before I _____________to bed?
(go/agoing/shall go)
SOLUTIONS:
1. bought
2. comes
3. arrives
4. was moving
5. revolves
6. fell
7. has been crying
8. is playing
9. haven’t had
10. go.

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III Choose the best option from those given to complete the sentences (Reported
speech)
1. Please tell me__________________
a. where is the bus stop
b. where the bus stop be
c. where stops the bus
d. where the bus stop is
2. He said_____________________
a. that the weather colder than usual.
b. The weather be colder than usual
c. The weather was colder than usual
d. The weather is colder than usual.
3. I believe______________________

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a. him he is right
b. he is right
c. he be right
d. that he right
4. He told us____________________
a. that he like the show
b. he liked the show
c. he be liking the show
d. that like the show
5. Mother said________________
a. that she was angry
b. she angry
c. she be angry
d. her was angry
6. Father didn’t know_________________
a. what I mean
b. what did I mean
c. what did I meant
d. what I meant
7. I think________________

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a. today it is Sunday
b. that is today Sunday
c. today is Sunday
d. today be Sunday
8. My friend told me___________________
a. what the answer was
b. what was the answer
c. what was to be the answer
d. what is the answer
9. He ordered _________________
a. that the class stand in a line
b. the class to stand in a line
c. that the class be standing in a line
d. the class stood in a line
10. I hope __________________
a. he is well
b. him he is well
c. he be well
d. that he well
SOLUTIONS
1. d
2. c

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3. b
4. b
5. a
6. d
7. c
8. a
9. b
10. a
IV Choose the correct option to complete these passive voice sentences.
1. Your jacket___________over there.
a. can be hang up
b. can be hanged up
c. can be hunged up
d. can be hung up
2. He___________________
a. have never been heard of
b. has never been hearing of
c. has never been heard of
d. has never been heard of
3. The keys_________________

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a. must have been left behind
b. must been left behind
c. must having been left behind
d. must have be left behind
4. The criminal_______________
a. were locked up
b. were lock up
c. were locking up
d. was locked up
5. The lamp _____________________by the wind
a. was being blown out
b. was blown out
c. was blow out
d. was blowed out
6. My bank loan _________ in three years time.
a. will paid off
b. will be paying off
c. will be paid off
d. will be being paid off
7. ________ to you yet.
a. Has the book been given back

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b. Has the book being given back
c. Has the book been gave back
d. Has the book being gave back
8. The road _________
a. was blocking off
b. was block off
c. was blocking of
d. was blocked off
9. She _________ with a reprimand.
a. was let off
b. was letted off
c. was letting off
d. were lett of
10. Nothing _________ me.
a. can be hald against.
b. Can be held against
c. Can be hold against
d. Can be holding against
SOLUTIONS
1. d
2. d
3. a
4. d
5. b

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6. c
7. a
8. d
9. a
10. b
V Choose the appropriate modal to fill in the blank:-
1. _____________ you, please, stop talking ? (would/can/will)
2. You ________ not hurry, there is plenty of time(must/can/need).
3. You __________ go now(can/may/should)
4. What cannot be cured, _________ be endured(should/will/must).
5. You _______ have given me a helping hand(ought/should/must).
6. The doctor said that the patient ________ recover(may/will/might)
(Hint:- The doctor was not very sure about it)
7. The student politely said to the principal “_________ I have a word with
You ? “ (Can/May/Might).
8. I’m afraid I _______ tell you that, it is a secret(must not/can not/will not).
9. I ________ like you to answer my questions properly(should/would/will).
10. He has lost your pen and he _________ not tell you(will/dare/can).

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SOLUTIONS
1. will
2. need
3. may
4. must
5. should
6. might
7. may
8. can not
9. would
10. dare
VI – Fill in ‘a/an/the’ wherever required. Fill ‘X’ where no article is needed:-
1. Meena went to __________ sports complex to meet _______ coach.
2. Ritu had already gone to ________ play.
3. Cholera is __________ water borne _______ disease.
4. I like ________ red colour.
5. My mother had never touched ________ onion.
6. Mr. Kapoor organised _______ nice lunch in honour of ________ chairman.
7. Our aim should be to build _______ strong India.
8. _________ apple a day, keeps ________ doctor away.
9. _________ Luncheon Party was organised to welcome _______ guests.
10. __________ bird in hand is worth two in _________ bush.

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SOLUTIONS
1. the, the
2. X
3. a , X
4. X
5. an
6. a , the
7. a
8. an , the
9. a , the
10. a , the
VII – Choose the correct alternative out of the four given in the brackets:-
1. The florist does not have the flowers. I was looking _______ .
(a) by (b) about (c) for (d) to
2. Books are very often compared ________ a granary.
(a) with (b) to (c) by (d) at
3. Divide twelve sums __________ three students.
(a) to (b) for (c) between (d) among
4. Ram will never pass his XII class examination ______ he works hard.
(a) if (b) unless (c) since (d) because
5. We must try to rise _________ the prevailing prejudices.
(a) upon (b) over (c) above (d) beyond
6. He has been living in Delhi _________ 1989.
(a) since (b) for (c) before (d) although
7. I have been working in this school __________ 20 years now.

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(a) since (b) before (c) for (d) although
8. There was nothing we could do ________ wait.
(a) and (b) except (c) otherwise (d) than
9. Professor Nath will take __________ as the chairman tomorrow.
(a) on (b) as (c) over (d) from
10. His topic is different _________ mine.
(a) than (b) with (c) to (d) from
SOLUTIONS
1. c
2. b
3. d
4. b
5. c
6. a
7. c
8. b
9. c
10. d

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VII- Fill in the appropriate connectors from those given in the brackets:-
1. The boy will fail _______ he does not study.
(a) because (b) if (c) until (d) though
2. Ram was late _________ it was raining heavily.
(a) while (b) after (c) so (d) because
3. _________ you have any questions, please ask me.
(a)Incase (b) until (c) unless (d) because
4. She is more dedicated _________ her sister.
(a) as (b) than (c) before (d) because
5. We want our feelings to be respected ; _________ , we should respect the feeling
Of others.
(a) neverthelless (b) similarly (c) on the other hand (d) because
6. We lost the House Keys, _________ we had to break the lock.
(a) still (b) for (c) therefore (d) since
7. My uncle left for the U.S.A. _________ I was a baby.
(a) when (b) since (c) while (d) for
8. __________ much I tried, I could not help him.
(a) though (b) however (c) as (d) still
9. I ate my breakfast ___________ he was having his bath.
(a) when (b) as (c) since (d) while
10. ___________ I entered the class, the students stood up.
(a) As long as (b) While (c) Since (d) As soon as

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SOLUTIONS
1. b
2. d
3. a
4. b
5. b
6. c
7. a
8. b
9. d
10. d

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SECTION—D
HINDI CONVENTIONS

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हृदय
हृदय

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+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +
+ +

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+ +
+ +
+ +
+ +
+ +
+ +

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P.S.A. (XI)
SAMPLE PAPER - 1
SAMPLE PAPER - 1

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Qualitative Aptitute / Reasoning
Qes:-1. Find the missing number –
3:26 :: ___ : 124
a) 15 b) 13 c) 17 d) 24
3:26 :: ___ : 124
a) 15 b) 13 c) 17 d) 24
Qes:-2. Select the one which is different from the other three :
a) Horse b) Donkey c) Camel d) Dog
a) b c) d)
Qes:-3. Which of the following diagram best depiets the relationship among -
Lion, Tiger and Bear
a) b)
b) d)
a) b)
c) d)

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Qes:-4. Ram travels 8 km towards North, turns right and travels 2 km and then
again turns left and covers another 3 km and then turn left and travels
02 km. How far is he from the starting point?
a) 15 km b) 13 km c) 11 km d) 10 km
a) 15 b) 13 c) 11 d) 10
Qes:-5. How many triangles are there in the figure –
a) 8 b) 9 c) 16 d) 12
Qes:-6. A women pointing to a photograph says “ This man‟s sons‟s sister
is my “ mother-in-law”. How is the woman‟s husband related to the man in the
photograph?
a) Grandson b) Son c) Son in law d) Nephew
a) b) c) d)
PASSAGES
Read the passage and choose the correct answers:.
P,Q,R,S,T & U are members of a family, among them these are Lawyer, Doctor,
Teacher, Salesman, Engineer and Accountant. These are two married couples in
the family. „S‟ is a salesman and is married is a lady Teacher. Doctor is married to
the Lawyer. „U‟ who is Accountant is a son of „Q‟ and also is father of „U‟. „R‟ who is
lawyer is daughter-in-law of P. T is unmarried Engineer and P is grandfather of U.
Qes:-7. What is the profession of Q?
a) Accountant b) Doctor c) Lawyer d) Teacher

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Qes:-8. What is the profession of P?
a) Teacher b) Doctor c) Lawyer d) Engineer
Qes:-9. What is the relation of „Q‟with „S‟?
a) Son b) Grandfather c) Brother d) Father
Qes:-10. What is the relation of „S‟with „U‟?
a) Husband b) Brother c) Father d) Grandfather
Qes:-11. Whichone is married couple among the following?
a) R and S b) P and Q c) U and P d) Q and R
Qes:-12. Husband of lady teacher-
a) P b) Q c) R d) S
P,Q,R,S,T U
S
U Q
U R P T P U
Q
a) b) c) d)
P
a) b) c) d)
Q S
a) b) c) d)

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S U
a) b) c d)
a) R S b) P Q c) U P d) Q R
a) P b) Q c) R d) S
Answer
1 b
2 a
3 a
4 d
5 d
6 d
Read3 the passage and choose the correct answers:.
Mr. and Mrs. Nagpal were married in November and their children „Paheli‟ and
„Boojho‟ are November born too, Paheli‟s birthday is celebrated 10 days before
Boojho‟s Birthday and „7‟ days after the marriage anniversary of parents. The
marriage anniversary of Mr. and Mrs. Nagpal was celebrated on 2nd
Sunday of the
November month and last day of the month also happened to be Sunday.
Qes:-13. What is the date of Paheli‟s Birth?
a) 15 b) 16 c) 17 d) 18
Qes:-14. On which day „Boojho‟ celebrated her birthday?

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a) Sunday b) Monday c) Tuesday d) Wednesday
Qes:-15. What is the date of Boojho‟s Birth?
a) 6th
Nov b) 26th
Nov c) 5th
Nov d) 10th
Nov
Qes:-16. The marriage annivesary of Mrs. & Mr. Nagpal is celebrated on-
a) Monday b) Tuesday c) Saturday d) Sunday
Qes:-17. Onwhichdate do Mrs. And Mr. Nagpal celebrate their anniversary?
a) 8th
Nov b) 9th
Nov c) 15th
Nov d) 28th
Nov
Qes:-18. What is the name of the son od Mr. and Mrs. Nagpal?
a) Paheli b) Mr. Nagpal c) Boojho d) Name of these
a) 15 b) 16 c) 17 d) 18
a) b) c) d)
a) 6 b) 26 c) 5 d) 10
a) b) c) d)

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a) 8 b) 9 c) 15 d) 28
a) b) c) d)
Answer
Sample Question Paper-I
Quantitative Reasoning
Total No. of Questions = 10 + 4 x 2 = 18
MCQ‟s = 10
Passage based MCQ‟s = 2 x 4 = 8
Q.19 One third of a number is greater than one fourth of its
successor by 1, find the number.
a) 5 b) 15 c) 20 d) 25
1
3
1
4
a) 5 b) 15 c) 20 d) 25
Q.20 The value of 11 11 11 … … ∞
a) 11 b) 121 c) 100 d) none of these

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20) 11 11 11… … ∞
a) 11 b) 121 c) 100 d)
Q.21 The perpendicular distance of a point from x-axis is called
a) Abscissa b) Ordinatec) Mantissad) Coordinate
x-
a) b) c) d)
Q.22 No. of edges of a cuboid is
a) 12 b) 6 c) 8 d) 9
a) 12 b) 6 c) 8 d) 9
Observing the following table give the answer of the following questions-
Crop Production (Lac Ton) - Year
2000 2001 2002 2003 2004 2005
Rice
Wheat
Others
Grains
Pulser
Potatoes
44.0
21.8
28.8
10.0
4.8
39.6
24.1
26.1
10.5
6.3
48.7
28.8
30.4
13.0
7.3
41.9
29.9
28.9
11.4
8.1
52.7
31.8
30.0
12.0
8.3
53.1
37.0
30.2
12.2
10.2
Qes:-23. Production of which crop was increased by more than 10 Lac
Ton from its previous year?

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a) Wheat b) Pulser c) Potatos d) None of these
Qes:-24. In which year sum of production of Wheat and Rice as least?
a) 2000 b) 2001 c) 2002 d) 2005
Qes:-25. In which crop production is increasing and decreasing
alternately?
a) Wheat b) Other grains c) Pulser d) Rice
Qes:-26. Production of which crop of the year 2005 is greatest in comparison to
the year 2000?
a) Wheat b) Rice c) Potatoes d) None of these
2000 2001 2002 2003 2004 2005
44.0 39.6 48.7 41.9 52.7 53.1
21.8 24.1 28.8 29.9 31.8 37.0
28.8 26.1 30.4 28.9 30.0 30.2
10.0 10.5 13.0 11.4 12.0 12.2
4.8 6.3 7.3 8.1 8.3 10.2
a) b) c) d)
4)
a) 2000 b) 2001 c) 2002 d) 2005
a) b) c) d)

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a) b) c) d)
Q.27 What is the probability of a team losing a game, if the
probability of the team winning a game is 0.745?
a) 1 b) 0 c) 0.255 d) 1.255
a) 1 b) 0 c) 0.255 d) 1.255
Qes:-28. From the following integers, the largest integer is ?
a) -1111 b) -111 c) -11 d) -1
a) -1111 b) -111 c) -11 d) -1
Qes:-29. Here is a list of numbers 42.2, 28.4, 47.0, 36.4, 33.2, 40.4, 36.1 and
32.3. If the numbers 47 is replaced by 51 in this list, then the mean of the numbers
is
a) 37 b) 37.5 c) 51.5 d) 38.5
.2, 28.4, 47.0, 36.4, 33.2, 40.4, 36.1 32.3
a) 37 b) 37.5 c) 51.5 d) 38.5
Qes:-30. If C.P. of an article is Rs. 200 and gain in percentage is 5%, Then gain is
:
a) Rs. 5 b) Rs. 10 c) Rs. 15 d) Rs. 20
5%,
a) Rs. 5 b) Rs. 10 c) Rs. 15 d) Rs. 20

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Study the following figure and answer the questions:-
yC(3,7)
B(4.5)
A(2,3)
X1 X
(-2,0)
y1
Qes:-31. Cartesian Co-ordinate system has quadrants-
a) 8 b) 6 c) 4 d) None of these

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a) 8 b) 6 c) 4 d)
Qes:-32. Distance between the points A(2,3) and B(4,5) will be-
a) 2√2 b) 4 c) 6 d) -2√2
A(2,3) B(4,5)
a) 2
2
b) 4 c) 6 d)−2 2
Qes:-33. Area of ∆ ABC formed by the points A(2,3) B(4,5) & C(3,7) will be-
a) 12 unit2
b) 3 unit2
c) 6 unit2
d) 10 unit2
A(2,3) B(4,5) C(3,7)
a) 12 unit2
b) 3 unit2
c) 6 unit2
d) 10 unit2
Qes:-34. Slope of the line AB will be-
a) 60
◦
b) 30
◦
c) 45
◦
d) 90
◦
AB
a) 60
◦
b) 30
◦
c) 45
◦
d) 90
◦
Q35)An ice-Cream coneis an example of a
a) Cube b) Cuboid c) Pyramid d) sphere
a) b) c) d)
Q36) There are 100 students in a hostel. Food for all of them is for 20 days. If 25
more students join them, then food will last:
a) 4 Days b) 16 Days c) 20 Days d) 25 Days

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a) 4 b) 16 c) 20 d)25
Qes:-37-44. Read the following passage and choose correct answer-
Vacation was approaching. The school master always severe, grew server and
more exacting than ever, for he wanted the school; to make a good showing on
„Examination‟ Day. His rod and his ferrule were seldom idle now-at least among the
smaller pupies. Only the biggest boys and young ladies of eighteen and twenty
escaped lashing. Mr. Dobbin‟s lashings were very vigorous ones too; for although
he carried, under his wig, a perfectly bold and shiny head, he had only reached
middle age and there was no sign of of feeblener in his muscle. As the great day
approachable, all the tyranny that was in him came to the surface; he seemed to
take a vindictine pleasure in punishing the least short comings. The consequence
was that the smallest boys spent their days in terror and suffering and their nights in
plotting revenge.
Qes:-37. The school master grew severer because-
a) The students were enjoying.
b) He wanted students to do well in exam.
c) He does‟t want vacations.
d) He was worried.
Qes:-38. His rod and ferile were busy-
a) Beating young people.
b) Beating nig Boys.
c) Young girls.
d) Old Ladies.
Qes:-39. Mr. Dobbin‟s lashings were virgorous, here „vigous‟ means--
a) Soft.
b) Strong.
c) Weak.
d) Frequent.
Qes:-40. What did Mr. Dobbines carry under his wig-

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a) Chocolates.
b) Shiny blad head.
c) Stupid Head.
d) Angry Head.
Qes:-41. He was a ……………… man.
a) Middle aged.
b) Old.
c) Weak.
d) Young.
Qes:-42. There was no sign of feebleness in his muscles.
a) Weak.
b) Soft.
c) Active.
d) Strong.
Qes:-43. As the exam day approached the master grew-
a) Pleasant.
b) Softer.
c) Cruel.
d) Kinder.
Qes:-44. How were the days of smaller boys spent?
a) Happily.
b) Noisily.
c) Worried.
d) In Terror.
Qes:-45. Fill in the correct determiner.

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Uneasy lies ……….. head that weans ………..crown.(a/an/the)
a) the,a b) the,the c) a,an d) an,the
Qes:-46. Fill in the correct modal.
One ……….. obey one‟s parents. (must/should/ought)
a) must b) should c) ought d) none
Qes:-47. Spot the error.
The smell/of these rose/flowers are/very sweet.
a) A b) B c) C d) D
Qes:-48. Fill in the correct option from those given in bracket.
Rachna ……….. lovely paintings. (make/made/makes)
a) make b) made c) makes d) none
Qes:-49. Fill in the correct modal.
One ……….. obey one‟s parents. (must/should/ought)
a) must b) should c) ought d) none
Qes:-50. An unchallenged mind is an unwilling mind „unwilling‟ here means:
a) Ready to accept
b) Not ready to accept new ideas
c) Ready to move
d) Uninvited
Qes:-51.Beware of a fair weather friend, e will leave you in difficulty.
Fair weather friend may mean:
a) A person who eats too much
b) A person whose complexion is fair
c) A friend who does not help you in distress
d) A friend who helps always
Qes:-52.Rs. Ten is a meagre amount for a day‟s work.
Supply the „opposite‟ of the underlined word.

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a) handful
b) handsome
c) too less
d) insufficient
Qes:-53.When we shifted from village to the city, my grandmother become
disturbed. That was a turning point in our friendship.
Turning point have means
a) understanding
b) an important incident
c) an unimportant happening
d) a usrless point
Qes:-54.What we need now is sustainable development. Not the one which is
senseless.
Which phrase best describes the underlined words best
a) development which not harmful for environment
b) irresponsible development
c) insensitive attitude
d) never ending
Qes:-55. What I want my son to be is that he should stand on his feet.
The underlined expression says:
a) to be physically strong
b) to be independent
c) to stand straight
d) to be happy
Qes:-56. The person concerned should be contacted in the office before meeting
the chairman.
What should be the opposite of concerned.

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a) happy
b) related
c) great
d) unrelated
Qes:-57. Can you explain the central idea of the poem. The underline word(s)
mean
a) exact meaning
b) theme
c) great idea
d) unnecessary details
Qes:-58. Theology was an important subject at school in old days. It taught
students respect values and religions..
Theology means here
a) ideology
b) psychology
c) the study of markets & shares
d) the study of God & religion
Qes:-59. Our education is not what it to be who is responsible for deteriortiny
condition of our education?
The underline word may mean here:
a) improving
b) declining
c) building
d) grading
Qes:-60. Tut was the lost heir of the powerful Pharaoh family which ruled over
Egypt thousands of years ago.
What may be the synonym of heir

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a) a person with long hair
b) a powerful man
c) a person who inherits his ancestors property
d) a person who becomes a great king of Egypt.
HINDI CONVENTIONS

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SAMPLE PAPER – I
Answers:
Q.No. Answer Q.No. Answer Q.No. Answer
1 A 31 C 61 B
2 D 32 A 62 C
3 B 33 B 63 D
4 C 34 C 64 D
5 C 35 C 65 D
6 A 36 B 66 A
7 B 37 B 67 C
8 A 38 A 68 A
9 A 39 B 69 B
10 D 40 B 70 B
11 D 41 A 71 A
12 D 42 D 72 A
13 B 43 C 73 A
14 D 44 D 74 C
15 B 45 A 75 B
16 D 46 B 76 C
17 B 47 C 77 D
18 C 48 C 78 A
19 B 49 D 79 C
20 A 50 B 80 D
21 B 51 C 81 A
22 A 52 D 82 D
23 D 53 B 83 C
24 B 54 A 84 D
25 D 55 B
26 A 56 D
27 C 57 B
28 D 58 D
29 B 59 B
30 B 60 C

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PSA (XI)
SMAPLE PAPER-II

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SMAPLE PAPER- II
QUALITATIVE APTITUDE
PSA (XI)
Time:-
Q.1: Some equations are solved on the basis of certain system. On the same basis find out
the correct answer for the unsolved equation.
If : 24 + 15 = 93 and 17+ 32 = 94 then 41 + 34 = ?
1. 75 b) 57 c) 189 d) 199
Q-1:
24 + 15 = 93 17+ 32 = 94 41 + 34= ?
2. 75 b) 57 c) 189 d) 199
Q.2: Select the missing number from the given represents:

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6 * 3 = 13
5 * 20 = 96
11 * 7 = 67
19 * 11 = ?
1. 207 b) 194 c) 191 d) 209
Q.2:
6 * 3 = 13
5 * 20 = 96
11 * 7 = 67
19 * 11 = ?
1. 207 b) 194 c) 191 d) 209
Q.3: If a box containing two dozen cups is dropped than which of the following cannot be
the ratio of broken and unbroken cups?
1. 2 : 1 b) 6 : 1 c) 5 : 1 d) 3 : 1
Q.3:
1. 2 : 1 b) 6 : 1 c) 5 : 1 d) 3 : 1
Q.4: in a certain code, 15789 written as XTZAL and 2346 are written as NPSU, How is
23549 written in that code?

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1. NPTUL b) PNTSL c) NPTSL d) NBTSL
Q.4: XTZAL NPSU,
1. NPTUL b) PNTSL c) NPTSL d) NBTSL
Q.5; At the end of a banquet, 10 people shake hands with each other. How many
handshakes will there be in total?
1. 100 b) 20 c) 45 d) 50
Q.5:
1. 100 b) 20 c) 45 d) 50
Q.6: Which of the following words will appear fourth in the dictionary?
1. Sentiment b) Separate c) Sentinel d) Sentience
Q.6:
Sentiment b) Separate c) Sentinel d) Sentience
Q.7 – Q.12 Passage – I

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Read the following passage and answer the questions from Q.7 to 12 given below it.
P,Q,R,S,T and U are six persons travelling together in a Boat. Three of them Q, R and T are
women and the rest are men. However P,Q,R and T are all vegetarian and S and U are non-
vegetarian. Finally Q, T and U know swimming while the rest do not know to swim.
Q.7: In a group, who is the non- vegetarian male who does not know swimming?
1. S b) U c) P d) T
Q.8 In a group, who is the non- vegetarian male who knows swimming?
1. P b) Q c) R d) None of these
Q.9 Howe many of the vegetarian males in the group knows swimming?
1. None b) Some c) All d) Can’t say
Q.10 In the group, who is the vegetarian female who knows swimming?
1. R b) Q c) P d) U
Q.11 In the group who is the only female who does not know swimming?

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1. P b) Q c) R d) None of these
Q.12 In the group total vegetarian female who know swimming?
1. 4 b) 2 c) 0 d) 3
P,Q,R,S,T U Q, R T
P,Q,R T S U Q T U
1. S b) U c) P d) T
P b) Q c) R d)

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a) b) c) d)
1. R b) Q c) P d) U
P b) Q c) R d)
1. 4 b) 2 c) 0 d) 3
Q.13 – Q.18
Study the information and answer the question given below it:

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A blacksmith has five iron articles A, B, C, D and E, each having a different weight?
1. A weights twice as much as B
2. B weights four and a half time as much as C
3. C weights half as much as D
4. D weights half as much as E
5. E weights less than A but more than C.
Q.13: Which of the following is the lightest in weight?
1. A b) B c) C d) D
Q.14: E is lighter in weight than which of the other two articles?
1. A, B b) D,Cc) A,C d) D, B
Q.15: Which of the above given statements is not necessary to determine the correct order
of
articles according to their weights?
1. (i) b(iii) c) (ii) d) (v)
Q.16: E is heavier than which of the following two articles?
1. D, B b) D, C c) A, Cd) A, B

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Q.17: Which of the following articles is the heaviest in weight?
1. A b) B c) C d0 D
Q.18: Which of the following represents the descending order of weights of the articles?
1. A,B,E,D,C b) B,D,E,A,C c) C,C,D,A,B d) C,A,D,B,E
A, B, C, D E
(i)A B
(ii)B C
(iii)C D
(iv)D E
v)E A C
Q.13)

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a)A b) B c) C d) D
Q.14) E
1. A, B b) D,Cc) A,C d) D, B
Q.15)
1. (i) b(iii) c) (ii) d) (v)
Q.16) E
1. D, B b) D, C c) A, Cd) A, B
Q.17)
1. A b) B c) C d) D

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Q.18)
1. A,B,E,D,C b) B,D,E,A,C c) C,C,D,A,B d) C,A,D,B,E
QUANTITATIVE REASONING
Q.19: In rational number 0.53467 can be expressed as :
1. 892/1665 b) 53414/99999c) 53414/ 99990 d) 26707/49950
Q.19:
1.
892
1665
b)
53414
99999
c)
53414
99990
d)
26707
49950
Q.20: If α, β are the roots of x2
– 8x + 15= 0 what will be the value of
α2
β
β2
α

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1.
152
15
b)
872
15
c)
25
3
+
9
15
d) 1
Q.20: α β x2
– 8x + 15= 0
α2
β
β2
α
2.
152
15
b)
872
15
c)
25
3
+
9
15
d) 1
Q.21: A mixture of 40L of spirit & water contains 10% water. How much water must be
added to make 20% water in new mixture to use for the purpose?
1. 5 L
2. 10 L
3. 75 L
4. 12.5 L
Q.21 % %
1. 5 L
2. 10 L
3. 75 L

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12.5 L
Q.22 to Q.25
The following graph gives the marks scored by a student in different subjects ENGLISH,
HINDI, MATHEMATICS, SCIENCE AND SOCIAL SCIENCE in an EXAMINATION, ASSUMING that
the total marks obtained for the examination are 540, Answer the question given below:
Q.22 The marks scored in Hindi & Mathematics exceed the marks scored in English and
Social Science?
1. 60 b) 30 c) 40 d) 70
Q.23: The subject in whom the student scored lowest marks is?
1. Maths b) Social Science c) English d) Hindi
Q.24: The difference of marks between English and Science is same as between?

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1. Science & English b) Hindi & Social Science.
c) English & Hindi d) Mathematics & Social Science
Q.25 The subject in which marks obtained are 22.2% is :-
1. English b) Hindi c) Science d) Mathematics
Q22-25
Q.
Q.22:

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1. 60 b) 30 c) 40 d) 70
Q.23:
1. b) c) d)
Q.24
1. b)
c) d)
Q.25 %
1. b) c) d)
Q.26: If β takes 10% less time than A to cover the same distance when A’s speed is 9 km/hr.
Find B’s Speed?
B,A 10% A / B
1. 8 km/hr b) 9 km/hr c) 10 km/hr d) 11 km/hr
Q.27: The price of rice increase by 25%. Find by what % the consumption of rice should be
reduced so as not to increase the expenses?

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%.
1. 40% b) 60% c) 80% d) No change
Q.28: During his journey, Dinesh travels for 30 minutes at 30 km/hr another 30 minutes at
speed 50 km/h, next 1 hour at 50 km/hr & last 2 hours at 65 km/hr. What is the average of
speed of entire journey?
/
/ /
1. 55 km/hr b) 50 km/hr c) 39 km/hr d) 60 km/hr
Q 29; 1+
1
1+
1
1+
1
9
=
𝑎)
12
9
b) 9 c)
29
19
d)
10
9
Q 29; 1+
1
1+
1
1+
1
9
=
𝑎)
12
9
b) 9 c)
29
19
d)
10
9

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Q.30: In a firm the daily average salaries of a peon , a clerk, a section head & a manager are
in continued proportion. If salaries of a peon & a section head are Rs. 400 & Rs. 900 resp.
then the salaries of the other two will be?
1. 950 , 1000 b) 600, 1350 c) 650, 1300 d) 500, 1450
Q-30:
2. 950 , 1000 b) 600, 1350 c) 650, 1300 d) 500, 1450
Q.31: Divide Rs. 558 among A, B, C, so that if their shares be diminished by Rs. 4, Rs.6, Rs.8
respectively, reminders shall be in the ratio 2 : 3 : 7?
1. Rs.94, Rs.141, Rs.323
2. Rs.97, Rs.138, Rs.323
3. Rs.94, Rs.140, Rs.324
4. Rs.94, Rs.137, Rs.327
Q.31 558 A, B, C 6
1. 94, 141, .323
2. 97, 138, 323
3. 94, 140, 324
4. 94, 137, 327

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Q.32: Difference in the compound & simple interest on a certain sum for 2 years at the rate
of 4% p.a is Rs.2. Then the sum will be:
1. Rs. 1000
2. Rs.2000
3. Rs.1250
4. Rs.1550
Q32: %
1. 1000
2. 2000
3. 1250
4. 1550
Q.33 – Q.36
If area of 4 walls of a hall whose breath is 15 m and height is 8 m is 1068 m2
. Give the
answer of following question:
H
B
L

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Q.33: What will be the length of longest rod that can be placed in the Hall?
1. 17 m b) 17 2 m c) 34 2 m d) None of these
Q.34: What will be length of the hall?
1. 10 m b) 15 m c) 17 m d) 18 m
Q.35: What will be total area of wall paper required to cover the walls?
1. 3645 m2
b) 1068 m2
c) 1286 m2
d) 2136 m2
Q.36: Find the cost of carpeting the floor @ Rs. 10 m2
?
a) Rs.2550 b) Rs. 2500 c) Rs. 2250 d) Rs. 2300
Q33-36
H
B
L

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Q33)
1. 17 b) 17 2 c) 34 2 d)
Q34)
1. 10 b) 1 c) 17 d) 18
Q35)
1. 3645 b) 1068 c) 1286 d) 2136
Q36)
1. 2550 b) 2500 c) 2250 d) 2300
ENGLISH LANGUAGE CONVENTIONS
Q.37 – Q.44
Read the paragraph carefully and answer the questions that follow by picking up the right
option.

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Tom appeared on the side walk with a bucket of white wash and a long handled brush. He
surveyed the fence, and the gladness went out of nature, and a deep melancholy settled
down upon his spirit. Thirty yards of boards fence nine feet high! It seemed to him that life
was hollow and existence but a burden. Sighing he dipped his brush and passed it along the
topmost plank; repeated the operation ; did it again ; compared the insignificant white
washed continent of un white- washed fence and sat down on a tree box discouraged. Jim
came skipping out at the gate with a tin pail, and singing ‘Buffalo Gals’. Bringing water from
the town pump had always been hateful work in Tom’s eyes before, but now it did not
strike him so. He remembered that there was company at the pump. White , mulatto and
negro boys and girls were always there waiting their turns, resting, trading playthings.
Quarrelling , fighting , skylarking and he remembered that although the pump was only a
hundred and fifty yards off, Jim never got back with a bucket of water under an hour ; and
even then somebody generally had to go after him. Tom said ‘ Say jim’, I will fetch the
water if you white wash some.
Q.37: Tom appeared with a_________ of whitewash :
1. Packet b) Container c) Box d) Cup
Q.38: Tom was _________ to see the fence:
1. Sad b) happy c) Worried d) annoyed
Q.39: He was feeling low because
1. The fence was too high to reach
2. It seemed a burden to him
3. Brush was too heavy

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4. He couldn’t play and enjoy
Q.40: Which part of the fence Tom started to white wash:
1. Lower most b) Middle c) Upper most d) Inner most
Q.41: What was Jim doing?
1. Sliding and Skipping
2. Singing and Skipping
3. Crying and Skipping
4. Sighing and Skipping
Q.42: Fetching water from town pump seemed ___________ to Tom. Before,
1. Enjoyable b) Hateful c) Foolish d) Pleasurable
Q.43: Tim always got late in fetching water from the pump because:-
1. It was far off
2. It was a hundred and fifty yards away

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3. Many boys and girls kept him busy playing
4. His bucket was heavy.
Q.44: How was Jim brought back:-
1. By calling out loudly
2. By sending a message
3. Tom had to call him
4. Someone would go after him.
GRAMMER & USAGE
Q.45: Fill in the suitable determiner:-
I’ll have a cup of tea; Will you have _______ too ?
1. One b) any c) a d) none
Q.46. Fill in the correct modal:-
____________ God bless you !
1. Must b) should c) May d) none
Q.47. Spot the error:-
Not only she watched/the news/but she also/cooked food

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(a) (b) (c) (d)
Q.48. Fill in the correct options from those given:-
My mother __________ for me. I cannot go home late.(wait/was waiting/will be
waiting)
1. Wait (b) was waiting (c) will be waiting (d) none
Instructions:- Read the following items and select the appropriate option out of the four
choices given
under each of them:-
Q.49. He got the success with flying colours and everybody congratulated him.
In the above sentence what may be the meaning of the underline word:
1. Unknowingly (b) remarkably well (c) shamefully (d) with red and blue colours.
Q.50. Mr. Sridharan was the mastermind behind the success of Delhi Metro.
‘mastermind’ means here
1. Planner (b) friend (c) train driver (d) a person who given money.

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Q.51. Amitabh’s appearance in the movie was a show-stopper which increased the box-
office performance
‘show stopper’ here means:-
1. A failure (b) a flop-show (c) very impressive performance (d) friendly appearance.
Q.52. It is a myth that a man becomes ghost after death. What can be opposite of ‘myth’
in this sentence:-
(a) Fiction (b) fact (c) false belief (d) opinion.
Q.53. Fill in the correct connector from those given:-
I have been to Kashmir four times, __________ I won’t mind going there again.
1. Yet (b) but (c) nevertheless (d) however.
Q.54. Fill in the correct form of the verb given:-
He was in the Amazon Jungles when his mother ____ .
1. Die (b) dead (c) died (d) under.
Q.55. Fill in the appropriate preposition:-
A clever fox jumped _________ a lazy hen.
1. On (b) upon (c) over (d) dying.

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Q.56. Spot the error in the sentence:-
My mother/ prayed/ that God may granted/ me success.
1. (b) (c) (d)
Q.57. Fill in the blank with appropriate word:-
Most of the students like _______ cricket.
1. Play (b) have playing (c) playing (d) played.
Q.58. Fill in the correct form of the adjective:-
She is the ________ girl of our batch.
1. Intelligent (b) more intelligent (c)most intelligent (d) intelligently.
Q.59. Fill in the correct adverb:-
The hare ran fast but the tortoise move _______ .
1. Hardly (b) barely (c) slowly (d) rarely.
Q.60. Fill in the blank with appropriate article. Use ‘X’ if there is no need to use article:-
Number five hundred and five, ____________ house next door to us, is for sale.
1. A b) an c) the d) X

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SAMPLE PAPER – IIAnswers:
Q.No. Answer Q.No. Answer Q.No. Answer
1 B 31 A 61 A
2 C 32 C 62 D
3 B 33 B 63 C
4 C 34 C 64 C
5 C 35 B 65 A
6 36 A 66 B
7 A 37 B 67 B
8 D 38 A 68 C
9 A 39 D 69 B
10 B 40 C 70 B
11 C 41 B 71 A
12 B 42 B 72 D
13 C 43 C 73 A
14 A 44 D 74 D
15 D 45 D 75 A
16 B 46 C 76 A
17 A 47 A 77 B
18 A 48 C 78 D
19 D 49 B 79 D
20 A 50 A 80 A
21 A 51 C 81 B
22 A 52 B 82 D
23 C 53 B 83 C
24 D 54 C 84 C
25 C 55 C
26 C 56 C

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27 C 57 C
28 A 58 C
29 C 59 C
30 B 60 C

Support Material for PSA (Class XI)

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