NIMCET 2023 : Questions

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1. The values of cot
3

, cot
4

, cot
6

are
in
(a) AP (b) GP
(c) HP (d) None of these
2. cos 80 cos 20 + sin 80 sin 20 = ?
(a)
1
2
(b)
3
2
(c)
1
2
(d) 1
3. cos 20 cos 40 cos 80 = ?
(a)
1
16
(b)
1
8
(c)
3
8
(d)
3
16
4. The least value of (2sin2
 + 3 cos2
 )
is
(a) 1 (b) 2
(c) 3 (d) 5
5. The general solution of the equation
sin2
 = sin2
 is
(a)  = n +  , nI
(b)  = n   , nI
(c)  = 2n + , nI
(d)  = 2n   , nI
6. If M =
1 2
2 3
 
 
 
and M2
–  M – I2 = 0,
then  is equal to
(a) -2 (b) 2
(c) -4 (d) 4
7. From the following find the correct
relation
(a) (AB)` = A`B`
(b) (AB)` = B`A`
(c) A-1
=
( )
adj A
A
(d) (AB)-1
= A-1
B-1
8. If A is a unit matrix of order n, then
A(adj A) is
(a) zero matrix
(b) row matrix
(c) unit matrix
(d) None of these
9. If
6 3 1
4 3 1
20 3
i i
i
i

 = x + iy, then (x, y) is
(a) (3, 1) (b) (1, 3)
(c) (0, 3) (d) (0, 0)
10.arg (5 – 3 i) is equal to
(a) tan-1 5
3
(b) tan-1 5
3
 

 
 
(c) tan-1 3
5
(d) tan-1 3
5
 

 
 
 
11.If
3 5 7 ...
5 8 11 ... 10
to n terms
to terms
  
  
= 7, then the
value of n is
BUDDHA SCIENCE AND TECHNICAL INSTITUE, KOKAR
(TEST EXAMINATION)
BATCH : NIMCET MONTH : MARCH
TIME : 02:00 HRS. SESSION : 2022-2023
SUBJECT: MATHEMATICS, ENG, C.S. & REASONING
INSTRUCTIONS:
1. Candidate may attempt all questions.
2. Marks are distributed as per notice guideline.
3. The missing data, if may be assumed suitably.

(a) 35 (b) 36
(c) 37 (d) 40
12.Three numbers are in AP whose sum
is 33 and product is 792, then the
smallest number from these numbers
is
(a) 4 (b) 8
(c) 11 (d) 14
13. If the arithmetic, geometric and
harmonic means between two positive
numbers be A, G, and H , then
(a) A2
= GH (b) H2
= AG
(c) G = AH (d) G2
AH
14.If a > 0, b > 0, c > 0 then both the
roots of the equation ax2
+ bx + c = 0
(a) are real and negative
(b) have negative real parts
(c) are rational numbers
(d) None of the above
15.Roots of ax2
+ b = 0 are real and
distinct, if
(a) ab > 0 (b) ab < 0
(c) a, b > 0 (d) a, b < 0
16.Which of the following is the empty
set?
(a) {x : x is a real number and x2
– 1 = 0}
(b) {x : x is a real number and x2
+ 1 = 0}
(c) {x : x is a real number and x2
– 9 = 0}
(d) {x : x is a real number and x2
= x + 2}
17.In a class of 50 students, it was
found that 30 students read
“Hitavad”, 35 students read
“Hindustan” and 10 read neither.
How many students read both
“Hitavad” and “Hindustan”
newspapers?
(a) 25 (b) 20
(c) 15 (d) 30
18.If A = {x, y, z}, then the number of
subsets in powerset of A is
(a) 6 (b) 8
(c) 7 (d) 9
19.If A is a subset of B and B is a
subset of C, then cardinality of A
B C is equal to
(a) Cardinality of C
(b) Cardinality of B
(c) Cardinality of A
(d) None of these
20.If the positive vectors of the vertices of
a triangle be 2i + j + 2k, -i + j – 4k
and –i – 2j + 2k, Then the triangle is
(a) right angled
(b) isosceles
(c) equilateral
(d) right angled isosceles
21.If the position vectors of A and B be 6i
+ j – 3k and 4i – 3j – 2k, then the work
done by the force F = i + 3j + 5k in
displacing a particle from A and B is
(a) 15 units (b) 17 units
(c) - 15 units (d) none of these
22. The work done by the force F = 2i –
3j + 2k in displacing a particle from
the point (3, 4, 5) to the point (1, 2, 3)
is
(c) 4 units (d) 5 units
23. Forces of magnitude 5, 3, 1 units act
in the directions ˆ
ˆ ˆ
6 2 3
i j k
  ,
ˆ
ˆ ˆ
3 2 6
i j k
  , ˆ
ˆ ˆ
2 3 6
i j k
  respectively
on a particle which is displaced from
the point (2, -1, -3) to (5, -1, 1). The
total work done by the force is
(c) 33 units (d) 105 units

24. If A and B are two events and P(A 
B) = 5 / 6, P(A  B) = 1 / 3 P(B) =
1
2
,
then A and B are two events which are
(a) Dependent
(b) Independent
(c) Mutually exclusive
(d) Equally likely
25. If E1 and E2 are two events associated
with a random experiment such that
P(E2) = 0.35, P(E1 or E2) = 0.85 and
P(E1 and E2) = 0.15, then P(E1) is
(a) 0.25 (b) 0.35
(c) 0.65 (d) 0.75
26. Find out the wrong term.
16, 22, 30, 45, 52, 66
(a) 30 (b) 45
(c) 52 (d) 66
27. 2, 7, 27, 107, 427, ?
(a) 1262 (b) 1707
(c) 4027 (d) 4207
28. 5, 6, 9, 15, ? , 40
(a) 21 (b) 25
(c) 27 (d) 33
29. Y, B, T, G, O, ?
(a) N (b) M
(c) L (d) K
30. BMX, DNW, FOU, ?
(a) GHO (b) GPS
(c) HPS (d) HPT
31. Q1F, S2E, U6D, W21C, ?
(a) Y44B (b) Y66B
(c) Y88B (d) Z88B
Directions (Q-32 to Q-34) : In each of
the following questions, five words are
given. Which of them will come in the
middle if all of the them are arranged
alphabetically as in a dictionary?
32.(a) Spine (b) Spinal (c) Spinner
(d) Spinet (e) Spindle
33.(a) Praise (b) Practical (c) Prank
(d) Prayer (e) Practise
34.(a) Haste (b) Haphazard (c) Host
(d) Hang (e) Handkerchief
35.If in a certain code, COVET is written
as FRYHW, which word would be
written as SHDUO ?
(a) QUAKE (b) REPAY
(c) STINK (d) PEARL
(e) TIEVP
36.If in a certain language, TRIANGLE
is coded as SQHZMFKD, which word
would be coded as DWZLOKD ?
(a) EXAMPLE (b) FIGMENT
(c) DISMISS (d) DISJOIN
(e) None of these
37.In a code language, SOLID is written
as WPSLPIMFHA. What does the
code-word ATEXXQIBVO refer to ?
(a) WATER (b) WAGER
(c) EAGER (d) WAFER
38. Ravi travelled 4 km straight towards
south. He turned left and travelled 6
km straight, then turned right and
travelled 4 km straight. How far is he
from the starting point?
(a) 8 km (b) 10 km
(c) 12 km (d) 18 km
(e) None of these
39. Starting from a point, Raju walked
12 metre North, he turned right and
walked 10 metres, he again turned
right and walked 12 metres, then the
turned left and walked 5 metres. How
far is he now and in which direction
from the starting point?
(a) 27 metres towards East
(b) 5 metres towards East
(c) 10 metres towards West
(d) 15 metres towards East
(e) None of these

Directions (Questions 40 to 44) : Study the
given information carefully and answer the
questions that follow :
(i) A, B, C, D, E, F and G are sitting on a
wall and all of them are facing
east.
(ii) C is on the immediate right of D.
(iii) B is at an extreme end and has E as
his neighbour.
(iv) G is between E and F.
(v) D is sitting third from the south end.
40.Who is sitting to the right of E?
(a) A (b) C
(c) D (d) F
(e) None of these
41.Which of the following pairs of people
are sitting at the extreme ends?
(a) AB (b) AE
(c) CB (d) FB
(e) Cannot be determined
42.Name the person who should change
place with C such that he gets the
third place from the north end.
(a) E (b) F
(c) G (d) D
(e) None of these
43.Immediately between which of the
following pairs of people is D sitting?
(a) AC (b) AF
(c) CE (d) CF
(e) None of these
44.Which of the conditions (i) to (v) given
above is not required to find out the
place in which A is sitting?
(a) (i) (b) (ii)
(c) (iii) (d) All are required
(e) None of these
Directions (Questions 45 to 49) : Study
the given information carefully and
answer the questions that follow :
(i) Eleven students A, B, C, D, E, F,
G, H, I, J and K are sitting in the first
row of the class facing the teacher.
(ii) D who is to the immediate left of F
is second to the right of C.
(iii) A is second to the right of E. who
is at one of the ends.
(iv) J is the immediate neighbour of A
and B and third to the left of G.
(v) H is to the immediate left of D and
third to the right of I.
45.Who is sitting in the middle of the
row?
(a) B (b) C
(c) G (d) I
(e) None of these
46.Which of the following groups of
friends is sitting to the right of G?
(a) CHDE (b) CHDF
(c) IBJA (d) ICHDF
(e) None of these
47.Which of the following statements is
true in the context of the above sitting
arrangement?
(a) There are three students sitting
between D and G
(b) K is sitting between A and J
(c) B is sitting between J and I
(d) G and C are neighbours sitting to the
immediate right of H.
(e) None of these
48.In the above sitting arrangement,
which of the given statements is
superfluous?
(a) (i) (b) (ii)
(c) (iii) (d) (iv)
(e) None is superfluous
49.If E and D, C and B, A and H, and K
and F interchange their positions,
which of the following pairs of
students is sitting at the ends?

(a) D and E (b) E and F
(c) D and K (d) K and F
(e) None of these
50.A, P, R, X, S and Z are sitting in a
row. S and Z are in the centre, and A
and P are at the ends. R is sitting on
the left of A. Then who is sitting on
the right of P ?
(a) A (b) S
(c) X (d) Z
51.When the computer is turned off then
the content of which one of the
following is lost?
(a) Output (b) Storage
(c) Memory (d) Register
52. __________ retains its data after the
power is turned off.
(a) Sequential storage
(b) Volatile storage
(c) Non-volatile storage
(d) Direct storage
53. The binary number
10001101010001101111 can be written
in hexadecimal as
(a) AD46716
(b) 8C46F16
(c) 8D46F16
(d) AE46F16
54.The binary number for F7A916 is
(a) 1111011110101001
(b) 1110111110101001
(c) 1111111010110001
(d) 1111011010101001
55.The binary equivalent of (11.6275)10 is
(a) 101.11011
(b) 1011.1011
(c) 101.0011
(d) 1011.0011
56. The octal equivalent of the hex
number AB.CD is
(a) 253.314
(b) 253.632
(c) 526.314
(d) 526.632
57. The decimal equivalent of the
hexadecimal number 2A0F is
(a) 17670
(b) 17607
(c) 17067
(d) 10767
58. On subtracting (01010)2 from
(11110)2 using 1’s complement, we get
____________.
a) 01001 b) 11010
c) 10101 d) 10100
59. On addition of 28 and 18 using 2’s
complement, we get ____________.
a) 00101110 b) 0101110
c) 00101111 d) 1001111
60. What is the addition of the binary
numbers 11011011010 and
010100101?
a) 0111001000 b) 1100110110
c) 11101111111 d) 10011010011
61. Perform binary subtraction: 101111 –
010101 = ?
a) 100100 b) 010101
c) 011010 d) 011001
62. Perform multiplication of the binary
numbers: 01001 × 01011 = ?
a) 001100011 b) 110011100
c) 010100110 d) 101010111
63. Which of these is not a feature of
primary memory?
(a) It is fast
(b) It holds instructions for computer
(c) It is volatile
(d) All of these
64. Which of these is a category of RAM?
(a) Erasable RAM
(b) Dynamic RAM
(c) Programmable RAM
(d) None of these

65. Which of these devices use capacitors
to store data?
(a) SRAM (b) DRAM
(c) ERAM (d) PRAM
66.Each of the girls -----her own dress.
(a) have (b) has
(b) (c) contains (d) possess
67.Five miles ------ long distance.
(a) are (b) is
(c) would (d) may
68.Many a man -------- tried hard to
climb the treacherous mountain
range.
(a) have (b) has
(c) were (d) are
69.The furniture of the house ------
quite impressive.
(a) were (b) are
(c) is (d) have
70.Uma, my childhood friend --------
leaving for Delhi next month.
(a) would (b) is
(c) are (d) has
71.Your --------are the proof of your
discriminating mind and pragmatic
approach.
(a) Advices (b) advice
(c) advise (d) advises
72.------- Earthquake is a natural
phenomenon and nobody can
predict it.
(a) An (b) A
(c) The (d) none
73.I saw only five -------- who were
running after the bank-robber.
(a) police (b) none
(c) the police (d) policemen
74. All -------- are responsible for the
pitiable condition of their states.
(a) chief minister
(b)chiefs ministers
(c) chief ministers
(d) chief ministers
75. The class teacher gave him -------
and instructed him to do it.
(a) the home work
(b) a home work
(c) home work
(d) none

Name :
Reg. No : Session : Date :
Answer Details
1. 22. 41. 61.
2. 23. 42. 62.
3. 24. 43. 63.
4. 25. 44. 64.
5.
Reasoning
45. 65.
6. 46. English
7. 26. 47. 66.
8. 27. 48. 67.
9. 28. 49. 68.
10. 29. 50. 69.
11. 30. Computer 70.
12. 31. 51. 71.
13. 32. 52. 72.
14. 33. 53. 73.
15. 34. 54. 74.
16. 35. 55. 75.
17. 36. 56. 76.
18. 37. 57. 77.
19. 38. 58. 78.
20. 39. 59. 79.
21. 40. 60. 80.
Student Signature with date
Marks Details
Subject
Correct
Questions
Marks
Wrong
Questions
Negative Marks
Final
Score
Math (+12 & -3)
Reasoning (+6 & -1.5)
Computer(+6 & -1.5)
English(+4 & -1)
Total Marks
Signature
BUDDHA SCIENCE AND TECHNICAL INSTITUE, KOKAR
(TEST EXAMINATION)
BATCH : NIMCET MONTH : MARCH
TIME : 02:00 HRS. SESSION : 2022-2023
SUBJECT: MATHEMATICS, ENG, C.S. & REASONING

NIMCET 2023 : Questions

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