CUSAT CAT 2022 Question Paper MCA

501 MCA

1. In how many ways a four digit even number can be formed by using the digits
2, 3, 5, 8 exactly once?

(A) 24
(B) 12
(C) 18
(D) 6

2. There are 30 people in a group. If all shake hands with one another,
how many handshakes are possible?

(A) 870
(B) 435
(C) 30!
(D) 23! + 1

3. How many ways can the letters in the word COMPUTER be arranged if the letters
CO must remain next to each other in order?

(A) 5040
(B) 40320
(C) 5041
(D) 403201

4. In the following question, there are two equations.
Solve the equations and answer accordingly.

x 2 − 52 x + 667 = 0
2 y 2 + 20 y + 50 = 0

(A) x>y
(B) x≤y
(C) x≥y
(D) x<y

5. If f ( x) = e x then f −1 ( x) = ?

(A) e− x
(B) −e x
(C) ln x
(D) log x

6. If f ( x) = x + x 2 then f 1 (−1) =

(A) −3
(B) −1
(C) 1
(D) 3

7. If 2i + 5 is a root of the equation ax 2 + bx + c = 0 with real coefficients,
then the other root is

(A) 2i − 5
(B) −2i + 5
(C) 5i − 2
(D) −2i − 5

8. If y = x n log x, then (n + 1) th derivative of y is

(n − 1)!
(A)
x
n!
(B)
x
n!
(C)
xn
n!
(D) − n
x

9. Let S be a collection of subset of {2000, 2001, 2002, …, 2020} such that intersection
of any two sets in S is nonempty. What is the maximum cardinality of S?

(A) 21
(B) 221
(C) 220
(D) 219

10. Let A = {1, 2, 3} then total number of relations in A × A is

(A) 23
(B) 26
(C) 29
(D) 212

10
11. (
If f o g ( x) = x 2 + 1 ) then f ( x) = ?
(A) x5
(B) x10
(C) x2 + 1
2
(D) ( )
x2 + 1

12. If N is the set of all positive integers, then {n ∈ N : n − 4 ≤ 2} is equal to

(A) {3, 4, 5}
(B) {2, 3, 4, 5, 6}
(C) {2, 3, 4, 5}
(D) {3, 4, 5, 6}

4x
13. If f ( x) = x , then the value of f ( x) + f (1 − x) is
4 +2

(A) 0
(B) −1
(C) 1
(D) cannot be determined

14. Choose the set of numbers from the following alternative sets, that is similar to the
given set (9, 20, 43)?

(A) (13, 30, 67)
(B) (16, 33, 67)
(C) (4, 9, 20)
(D) (6, 14, 31)

15. Let f :  →  and g :  →  defined by g ( x) = xf ( x) then

(A) g is a differentiable function
(B) g is differentiable at 0 if f is continuous at 0
(C) g is one to one if f is one to one
(D) g is many to many if f is one to one

1 
16. A sequence  2  is
n 

(A) convergent
(B) unbounded
(C) divergent
(D) bounded below

17. The area of a sector of a circle of radius 36 cm is 72π cm.
The length of the corresponding arc of the sector is

(A) π cm
(B) 2π cm
(C) 3π cm
(D) 4π cm

18. The radius of curvature at a point t on the curve x = at 2 and y = 2at is

3
(A) (
2a 1 + t 2 2
)
3
(B) (
a 1+ t2 )
3
(C) (
2a 1 + t 4 2
)
3
(D) 2
2a 1 + t ( 2 2
)

sin( x + y ) (a + b) tan x
19. If = , then the value of is
sin( x − y ) (a − b) tan y

a
(A)
b
b
(B)
a
(C) ab
( a − b)
(D)
( a + b)

20. 2 − cos 2 θ = 3sin θ cos θ , sin θ ≠ cos θ then tan θ is

1
(A)
2
2
(B)
3
(C) 0
1
(D)
3

21. The function f ( z ) = z is

(A) analytic
(B) nowhere analytic
(C) analytic at z = 0
(D) analytic except at z = 0

22. Find the centre and the radius of the circle x 2 + y 2 + 8 x + 10 y − 8 = 0.

(A) Center (−3, −5) radius 6
(B) Center (−3, −4) radius 9
(C) Center (−4, −5) radius 7
(D) Center (−3, −5) radius 8

23. If m1 and m2 are slopes of the two tangents that are drawn from
2 1 1
(4, 3) to the parabola y = 16x, then the value of + is
m1 m2

3
(A)
4
4
(B)
3
5
(C)
3
3
(D)
5

24. An asymptote to the curve y 2 (a + 2 x) = x 2 (3a − x)

(A) x = 3a
−a
(B) x =
2
a
(C) x =
2
(D) x = 0

x2 + 1
25. Find the limits lim .
x→1 x + 100

101
(A)
4
4
(B)
101
2
(C)
101
101
(D)
2

 
26. lim x + x + x − x  is equal to
x→∞  

(A) 0
1
(B)
2
(C) log 2
(D) None of the above

27. If x = u is a point of discontinuity of f ( x) = lim cos 2n x, then the value of cosu is
n→∞

(A) 0
1
(B)
2
(C) (−1)n
(D) 1

28. On the interval [0, 1] the function f ( x) = x 25 (1 − x)75 takes the maximum value at

(A) 0
1
(B)
3
1
(C)
2
1
(D)
4

dy 2 y
29. The integrating factor of the differential equation − = ( x + 1)3 is
dx x + 1

1
(A)
x +1
(B) e x +1
1
(C)
( x + 1)2

(D) ( x + 1)2

30. The differentiation of sin x with respect to cos x is

(A) tan x
(B) –tan x
(C) cot x
(D) –cot x

π
8
∫ x sin x dx is equal to
10 9
31. The value of
−π
8

(A) 1
(B) 0
π
(C)
4
π
(D)
8

∞
dx
32. If ∫ = kπ , then the value of k is
2
( 2
0 x +4 x +9 )( )
1
(A)
60
1
(B)
80
1
(C)
40
1
(D)
20

33. (
The roots of auxiliary equation of 2 D 2 + bD + c y = 0 are 2, −3.)
Then the solution of differential equation is

(A) y = ( Ax + B)e2 x

(B) y = ( Ax + B )e x

(C) y = Ae2 x + Be−3 x

(D) y = e 2 x ( A cos 3 x + B sin 3 x)

34. ( )
Particular integral of D 2 + 25 y = sin 3x is

sin 3 x
(A)
16
− sin 3 x
(B)
5
cos 3 x
(C)
16
cos 5 x
(D)
3

− x2
1
35. The point of inflection of the curve y = e 2 satisfies the condition
2π

(A) x > −1
(B) x = −1
(C) x < −1
(D) x ∈ (0, −1)

36. The differential equation with y 2 = 4a( x + a) as solution is

2
(A)  dy   dy 
y   − 2x   − y = 0
 dx   dx 
 dy   dy 
(B) y2   − 2x   + y = 0
 dx   dx 
2
(C)  dy   dy 
y   + 2x   − y = 0
 dx   dx 
2
 dy   dy 
(D) y2   + 2x   − y = 0
 dx   dx 

2
  dy 2  3 d 2 y
37. Degree of the differential equation 1 +    = 2 is
  dx   dx

(A) 2
(B) 1
(C) 3
(D) 4

 x2 − y2  ∂u ∂u
38. If u = y 3 sin −1  2  then x + y is equal to
 x + y2  ∂x ∂y
 

(A) 2u
(B) 3u
(C) 4u
(D) 5u

∂ 2u
39. If u = x 2 + y 2 , then is equal to
∂x∂y

(A) 0
(B) 2
(C) −2
(D) 2 x + 2 y

d3y d2y
40. The solution of −3 + 4 y = 0 is
dx3 dx 2

(A) c1e x + ( c2 + c3 x ) e 2 x

(B) c1e− x + ( c2 + c3 x ) e2 x

(C) c1e x + c2e 2 x + c3e3 x
(D) None of the above

r r r r r r r r r r
41. If the vectors i − j + k , k , i + mj − 3k and 3i − 4 j + 5mk are coplanar,
then the values of m are

(A) ( 4 ± 21 )
5

(B) ( 4 ± 141)
5
7
(C) , −1
5
7
(D) − ,1
5

r r r r r r r r
42. ( ) ( )
If a × b × c = a × b × c and b , c are perpendicular then
r r r r
(A) a , b are parallel, or c = 0
r r r r
(B) a , b are perpendicular, or c = 0
r r r r
(C) a , b are perpendicular and c = 0
r r
(D) a=0

r
43. ( )
The value of div A is equal to

(A) 1
(B) ∞
(C) −1
(D) 0

r r r r
44. The angle between the lines r = (2 − t )i + (1 + 2t ) j + (2t − 4)k and
r r r r
r = (1 + 3s )i + (− 2 + s ) j + (s − 1)k is

 11 
(A) cos −1  
 33 
 2 14 
(B) cos −1  
 21 
 3 231 
(C) cos−1  
 231 
 7 11 
(D) cos −1  
 33 

r r
45. If vectors a and b are not perpendicular to each other
r r r r r r r
and r × a = b × a and r . c =0 then r is
r r
(A) a×c
r
r  b . cr  r
(B) b −  r r a
 a.c 
r r
(C) b + xa (x being a scalar)
r r
(D) c + kb (k being a scalar)

46. The roots of the equation (b − c) x 2 + 2(c − a) x + (a − b) = 0 are always

(A) real and distinct
(B) real and equal
(C) real
(D) imaginary

47. The dimension of the real vector space of all 3 × 3 real symmetric matrices is

(A) 9
(B) 6
(C) 3
(D) 4

x +1 y + 3 z + 2
48. The coordinates of the point of intersection of the line = =
1 3 −2
with the plane 3x + 4 y + 5 z = 5 is

(A) (5, 15, −14)
(B) (3, 4, 5)
(C) (1, 3, −2)
(D) (3, 12, −10)

49. The length of the side of a square is represented by x + 2. The length of the side of an
equilateral triangle is 2x. If the square and the equilateral triangle have equal
perimeter, then the value of x is

(A) 5
(B) 14
(C) 17
(D) 4

50. The percentage error in computing the area of an ellipse when an error of 1% is made
in measuring the major and minor axes is

(A) 0.2%
(B) 2%
(C) 0.02%
(D) 1%

51. The absolute value of angle between the two curves
r = sin θ + cos θ and r = 2sin θ is

3π
(A)
4
5π
(B)
4
π
(C)
4
π
(D)
2

52. If S and S′ are the foci of the hyperbola 9 x 2 − 16 y 2 − 18 x − 64 y − 199 = 0,
then the area of square with SS′ as one side is (in square units)

(A) 4
(B) 20
(C) 100
(D) 116

53. The sum of the distances of any point on the ellipse
x 2 + 2 y 2 = 6 from ( 3, 0) and (− 3, 0) is
(A) 3 2
(B) 2 3
(C) 2 6
(D) 6 2

54. A plane region is enclosed by the line x + y − 2 = 0, X-axis and Y-axis. The volume
generated by this region when it is revolved about X-axis is

π
(A) cu.units
3
2π
(B) cu.units
3
4π
(C) cu.units
3
8π
(D) cu.units
3

55. The angle between the planes 2 x + y − z = 9 and x + 2 y + z = 7 is

π
(A)
2
π
(B)
3
π
(C)
4
π
(D)
6

2
56. If the cube roots of unity are 1, ω, ω , then the roots of the equation
3
(x – 2) + 27 = 0 are

(A) −1, −1, −1
(B) −1, 2 + 3ω, 2 + 3ω2
(C) −1, −ω, −ω2
2
(D) −1, 2 − 3ω, 2 – 3ω

57. ( )
If a random variable X follows Poisson distribution such that E X 2 = 30,
then the variance of the distribution is

(A) 6
(B) 5
(C) 30
(D) 25

58. If in a Poisson distribution P(X = 1) = P(X = 2) then variance is

(A) 4
(B) 2
(C) 2
(D) −2

59. The mean of a Binomial distribution is 5 and its standard deviation is 2.
Then the values of ‘n’ and ‘p’ are respectively

4
(A) , 25
5
4
(B) 25,
5
1
(C) , 25
5
1
(D) 25,
5

60. If the mean is λ and the variance is σ 2 in a Poisson distribution, then

1
(A) λ = σ2
2
1
(B) σ2 = λ
2
(C) λ =σ2
1 2
(D) σ 2 = λ
2

61. If f ( x) = K ( x − 3)2 , 1 ≤ x ≤ 3 is the probability density function,
then the value of K is

(A) 4
1
(B)
4
1
(C)
3
11
(D)
2

62. In a certain game, you perform three tasks. You flip a coin and success would be
head. You roll a single dice and success would be a six. You pick a card from a full
playing-card deck, and success would be picking a spade card. If any of these task are
successful, then you win the game. What is the probability of winning?

1
(A)
48
5
(B)
16
11
(C)
16
23
(D)
48

3
63. The probability that a bullet fired from a point will strike the target is . Five such
4
bullets are fired simultaneously towards the target from that very point. What is the
probability that the target will be strike?

255
(A)
256
235
(B)
256
245
(C)
256
225
(D)
256

64. The integers k, l and m are consecutive even integers between 23 and 33. Which of
the following could be the average (arithmetic mean) of k, l and m?

(A) 24
(B) 25
(C) 25.5
(D) 28

65. If l , m, n are direction cosines of a straight line then,

(A) l + m + n =1
(B) l 2 + m2 + n2 = 1
(C) l=m=n
l m n
(D) = =
m n l

66. The necessary condition for f ( x, y) = 0 to have extremum value are

(A) f xy = 0, f yx = 0

(B) f xx = 0, f yy = 0

(C) f x = 0, f y = 0

(D) f x = 0, f y = 0 and f xx = 0, f yy = 0

67. Let * be a binary operation on  such that a * b = a + b + ab.
Then the solution of the equation (3*4)* x = −1 is

(A) 1
(B) 0
(C) −1
(D) 3

68. If A and B are square matrices of size n × n, then which of the
following statement is NOT true?

(A) det( AB) = det A det B
(B) det(kA) = k n det A for every scalar k
(C) det( A + B) = det A + det B

(D) ( )
det At = det A, where At is the transpose of A

69. The solution of the equation 3x ≡ 1(mod 7) is

(A) not exist
(B) x ≡ 5(mod 7)
(C) x ≡ 3(mod 7)
(D) x ≡ 4(mod 7)

2 6 10
70. The sum of infinite series S = 1 + + 2 + 3 + ... is
3 3 3

(A) 4
(B) 6
(C) 2
(D) 3

71. We define f ( N ) = sum of digits of N, expressed in decimal number. For example,

( )
f (125) = 1 + 2 + 5 = 8 . Then the value of f 2534 4256 is

(A) 60
(B) 17
(C) 14
(D) 18

72. Let p( x) be a polynomial of degree 3 with real coefficients.
Which of the following is possible?

(A) p( x) has no real roots
(B) p( x) has exactly two real roots
(C) p(1) = 0, p(−1) = 3, p(2) = 10 and p(−2) = 20
(D) None of the above

3
73. Find the solution of sin( x) = − .
2

4
(A) x = n + (−1)n
3
4π
(B) x = nπ + (−1) n
3
4
(C) x = n + (1)n
3
4π
(D) x = nπ + (1) n
3

74. The curve f ( x) = x3 − 6 x 2 + 9 x − 8 is concave upward when

(A) x ∈ (2, ∞)
(B) x ∈ (−∞,2)
(C) x ∈ (0, ∞)
(D) x ∈ (−∞,0)

75. If (2m − 5) + i (3n + 4) is the complex conjugate of (3n + 4) − i (4m − 7) then (n, m) are

7 
(A)  ,1
3 
 −7 
(B) 1, 
 3 
 −7 
(C)  −1, 
 3 
 −7 
(D)  ,1
 3 

76. In the given diagram, identify the people who can speak only one language.

(A) L, M, O
(B) K, J, I
(C) K
(D) I

77. Select the correct pattern for question mark from the below answers.

(A)

(B)

(C)

(D)

78. Select the correct pattern for question mark from the below answers.

(A)

(B)

(C)

(D)

79. Select the correct pattern for question mark from the below answers.

(A)

(B)

(C)

(D)

80. Which answer figure will complete the pattern in the question figure?

(A)

(B)

(C)

(D)

81. Which of the following figures is different from others?

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

82. Which of the following series of figures follows the given rule?

Rule: A single unbroken line can trace any figure in the series without retracting.

(A)

(B)

(C)

(D)

83. Select the correct pattern for question mark from the below answers.

(A)

(B)

(C)

(D)

84. According to a military code, if SYSTEM is SYSMET and NEARER is AENRER,
what is the code for FRACTION?

(A) FRACNOIT
(B) CARFTION
(C) ARFCNOIT
(D) CARFNOIT

85. In alphabet series, some alphabets are missing which are given in that order as one of
the alternatives below it. Choose the correct alternative.

adb _ ac _ da _ cddcb _ dbc _ cbda

(A) bccba
(B) cbbaa
(C) ccbba
(D) bbcad

86. If A = Z, B = Y, C = X and so on, then what will be the code of BLACK?

(A) OYZXP
(B) YOZXP
(C) YOZPX
(D) YOXZP

87. If code for ADHI = 1489, then the code for GIEC is

(A) 7953
(B) 7935
(C) 7593
(D) 7945

88. There are two pairs, the first pair follows some relationship. Use the same
relationship to find the second analogy of the second pair.

IE : RV :: KC : ?

(A) PU
(B) PX
(C) XP
(D) RW

89. Choose the correct alternative.

RACK : 33 :: BOTTLE : ?

(A) 74
(B) 75
(C) 73
(D) 72

90. If code for ‘TEACHING’ is ‘CHEATING’, then what will be the code for
‘GRADIENT’?

(A) DIRAGENT
(B) DIAGRENT
(C) DIERATNG
(D) RATIGEND

91. If ‘pink’ means ‘blue’, ‘blue’ means ‘white’, ‘white’ means ‘black’, ‘black’ means
‘red’, ‘red’ means ‘green’, then what is the colour of ‘blood’?

(A) red
(B) green
(C) blue
(D) black

92. There are two pairs, the first pair follows some relationship. Use the same relationship
to find the second analogy of the second pair.

AGJ : DKO :: STD : ?

(A) VXI
(B) XVW
(C) XWV
(D) WXI

93. Select one alternative out of given four alternatives,
which is analogous to the first two?

TZW : 28 :: QYS : ?

(A) 35
(B) 160
(C) 38
(D) 158

94. Three of the following four are alike in a certain way and so form a group.
Which is the one that does NOT belong to the group?

(A) Tin
(B) Gold
(C) Brass
(D) Copper

95. If ‘ELTM’ is coded as 50, then find the code for ‘YZNP’.

(A) 100
(B) 89
(C) 191
(D) 81

96. Find the missing term in the series.

RQP, ONM, ….., IHG, FED.

(A) CDE
(B) LKI
(C) LKJ
(D) BAC

97. In a certain code, ARMY is written as ASOB. How is JUDGE written in that code?

(A) KVEHF
(B) JVFJI
(C) ITCFD
(D) JWGKJ

98. In a certain code, 'REACTION' is written as 'RAETCOIN'.
How is 'BEAUTY' written in that code?

(A) BAETUY
(B) BTUAEY
(C) BTAUEY
(D) None of the above

Direction: Study the following information carefully and answer the questions given below.

There are seven friends A, B, C, D, E, F and G in a seven-floor building. The ground floor is
no. 1, the floor above it is no. 2 and so on. E does not live on an even numbered floor. G does
not live on the topmost floor. Only one person lives between E and G. A does not live on
even numbered floor and does not live below F. D does not live immediately above or
immediately below G. There are two floors between D and E. Both B and C live on even-
numbered floor. G and C live in between the two floors. F lives on floor number 5.

rd
99. In the given options find the person who lives in 3 floor?

(A) D
(B) C
(C) B
(D) E

100. Who is the immediate neighbour of G?

(A) B
(B) D
(C) E
(D) F

101. How many persons live between E and G?

(A) 1
(B) 2
(C) 3
(D) 4

102. How many floors are between A and F?

(A) 0
(B) 1
(C) 2
(D) 3

103. In which floor D lives?

(A) 5
(B) 6
(C) 4
(D) 3

Direction: Study the following information carefully and answer the questions given below.

Five girls are sitting on a bench to be photographed. Seema is to the left of Rani and to the
right of Bindu. Mary is to the right of Rani. Reeta is between Rani and Mary

104. Who is second from the left in photograph?

(A) Reeta
(B) Seema
(C) Bindu
(D) Mary

105. How many people are seated between Bindu and Seema?

(A) 0
(B) 1
(C) 2
(D) 3

106. Who sits in the corner?

(A) Reeta or Mary
(B) Bindu or Mary
(C) Rani or Mary
(D) Rani or Bindu

107. Who is second from the right in photograph?

(A) Reeta
(B) Mary
(C) Bindu
(D) Seema

108. A series is given with missing terms. Choose the correct alternative from the given
ones that will complete the series.

4E, 8I, 13N, 19T, ?

(A) 26U
(B) 26A
(C) 25Y
(D) 25A

109. Choose the term out of the given alternatives which will replace the question mark.

ATTRIBUTION, TTRIBUTIO, RIBUTIO, IBUTI, ?

(A) BUT
(B) UTI
(C) IBU
(D) BTI

110. If * stands for 'addition', / stands for 'subtraction', + stands for 'multiplication',
and − stands for 'division', then 20 * 8 / 8 − 4 + 3 = ?

(A) 22
(B) 21
(C) 23
(D) 34

111. Find the missing term in the given series.

3, 7, 16, 35, ?, 153

(A) 74
(B) 84
(C) 78
(D) 70

112. What number should come next in the given series?

201, 202, 204, 207, …..

(A) 211
(B) 215
(C) 205
(D) 208

113. Choose the term out of the given alternatives which will replace the question mark.

1 : 1 : : 25 : ?

(A) 250
(B) 125
(C) 240
(D) 625

114. How many of the following numbers are divisible by 3 but not by 9?

2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276

(A) 5
(B) 6
(C) 7
(D) 9

115. If the animals which can walk are called swimmers, animals who crawl are called
flying, those living in water are called snakes and those which fly in the sky are called
hunters, then what will a lizard be called?

(A) Swimmers
(B) Flying
(C) Snakes
(D) Hunters

116. The product of two numbers is 45 and the sum of their squares is 106.
The numbers are

(A) 3 and 5
(B) 5 and 9
(C) 5 and 19
(D) 45 and 1

117. Choose the odd pair of words.

(A) Atom : Electron
(B) Train : Engine
(C) House : Room
(D) Curd : Milk

118. Three numbers are in the ratio 4 : 5 : 6 and their average is 25. The largest number is

(A) 30
(B) 32
(C) 36
(D) 42

119. Hitesh is 40 years old and Ronnie is 60 years old. How many years ago was the ratio
of their ages 3 : 5?

(A) 5 years
(B) 10 years
(C) 20 years
(D) 37 years

120. A sum of money doubles itself in 8 years. What is the rate of interest?

(A) 25%
(B) 13.50%
(C) 12.50%
(D) 15%

121. If a : b = 2 : 7 and b : c = 7 : 8 then find a : b : c.

(A) 2:8:7
(B) 2:7:7
(C) 2:9:8
(D) 2:7:8

122. Find the next term in the series.

4, 9, 25, 49, 121, 169, ……….

(A) 324
(B) 289
(C) 225
(D) 196

123. Find the wrong term in the series.

56, 58, 62, 70, 84, 118, 182

(A) 58
(B) 62
(C) 84
(D) 118

124. Find the missing term in the series.

48, 24, 72, 36, 108, ……….

(A) 115
(B) 216
(C) 121
(D) 54

125. Complete the series by replacing the question mark.

ABC, 6, EFG, 210, IJK, ?

(A) 1000
(B) 190
(C) 990
(D) 999

126. If 617 is divided by 49, the sum of the tens digits and
the tenth digit of the resulting number is

(A) 1
(B) 5
(C) 6
(D) 9

127. The sum of the numbers in the grid below is

−2 −1 1 2 3 4
−4 −2 2 4 6 8
−6 −3 3 6 9 12
−8 −4 4 8 12 16
−10 −5 5 10 15 20
−12 −6 6 12 18 24

(A) 273
(B) 147
(C) 210
(D) 163

128. How many 1 inch square tiles would it take to cover the floor of a closet that has
dimensions 5 feet by 4 feet? (1 foot = 12 inches)

(A) 240
(B) 1,440
(C) 2,160
(D) 2,880

129. Faced with ……………….. job market, many young people are returning to graduate
school rather than attempting to compete for the few available jobs.

(A) an educated
(B) an anemic
(C) a myopic
(D) a booming

130. If 79 + 79 + 79 + 79 + 79 + 79 + 79 = 7 x , what is the value of x?

(A) 9
(B) 10
(C) 63
(D) 97

131. If S 2 > T 2 , which of the following must be true?

(A) S > T
(B) ST > 0
(C) S > T
(D) ST < 0

132. While many people think of the lottery as a harmless way to have fun and possibly
win some money, buying lottery tickets is a form of gambling. Therefore, public
officials shouldn’t buy lottery tickets.

The argument above relies upon which of the following assumptions?

(A) Individuals who play the lottery are less likely to win a big payout than they
are to be killed in a car crash
(B) Some public officials are guilty of much more serious offenses than gambling
(C) Public official shouldn’t gamble
(D) many public officials are easily tempted to violate rules governing their
positions

133. If 4(−3x − 8) = 8(− x + 9), what is the value of x 2 ?

(A) 26
(B) 104
(C) 676
(D) 32

134. If 3t 3 − 7 = 74, what is the value of t 2 − t ?

(A) −3
(B) 6
(C) 3
(D) 18

135. a is directly proportional to b. If a = 8 and b = 2, what is a when b = 4?

(A) 64
(B) 32
(C) 16
(D) 10

136. Two identical pies were cut into a total of 16 equal pieces. If one of the resulting
pieces was then split equally among three people, what fraction of a pie did each
person receive?

1
(A)
48
1
(B)
24
1
(C)
16
3
(D)
16

137. Two parking lots can hold a total of 115 cars. The Green lot can hold 35 fewer cars
than the Red lot. How many cars can the Red lot hold?

(A) 35
(B) 40
(C) 70
(D) 75

138. Mr. Choudury’s fourth-grade class contains of 20 students. 12 boys and 8 girls. If the
boys weigh an average of 80 pounds each and the girls weigh an average of 70 pounds
each, what is the average weight, in pounds, of all 20 students?

(A) 71
(B) 74
(C) 75
(D) 76

139. The perimeter of a rectangular patch is 268 feet and its length is 168% of its width.
What is the area of the patch in square feet?

(A) 4,000
(B) 4,200
(C) 4,320
(D) 4,600

140. One robot, working independently at a constant rate, can assemble a doghouse in
12 minutes. What is the maximum number of complete doghouses that can be
assembled by 10 such identical robots, each working on separate doghouses at the
1
same rate for 2 and hours?
2

(A) 20
(B) 25
(C) 120
(D) 125

141. A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks
on the lot is 1 to 3. If there are currently 51 trucks for sale, how many cars does the
dealer have for sale?

(A) 17
(B) 34
(C) 68
(D) 153

Direction: Study the following information carefully and answer the questions given below.

A, B, C, D, E, and F are sitting around a circular table facing the centre. D is between C and
F; B is to the left of A; B is diagonally opposite to D; and E is between C and B.

142. Who is seated between D and A?

(A) C
(B) E
(C) F
(D) B

143. How many people seated between C and B if counted clockwise?

(A) 3
(B) 1
(C) 4
(D) 2

144. Who sits diagonally opposite to C?

(A) F
(B) D
(C) B
(D) A

145. How many people seated between E and B if counted anticlockwise?

(A) 2
(B) 4
(C) 0
(D) 3

146. How many people seated between E and A if counted anticlockwise?

(A) 2
(B) 1
(C) 4
(D) 3

147. Arrange the given words in a meaningful sequence.

1. Leaves 2. Branch 3. Flower 4. Tree 5. Fruit

(A) 4, 3, 1, 2, 5
(B) 4, 2, 5, 1, 3
(C) 4, 3, 2, 1, 5
(D) 4, 2, 1, 3, 5

148. When the digit 5 is on the bottom of the cube,
which number will be on its upper surface?

(A) 1
(B) 3
(C) 4
(D) 6

149. Find the missing term in the following.

BDF, CFI, DHL, ?

(A) EJO
(B) EML
(C) CJM
(D) EMI

150. Choose one word which CANNOT be formed from the letters of the word.

‘INTELLIGENCE’

(A) CANCEL
(B) INCITE
(C) GENTLE
(D) NEGLECT

FINAL ANSWER KEY
Subject Name: 501 MCA
SI No. Key SI No. Key SI No. Key SI No. Key SI No. Key
1 B 31 B 61 B 91 B 121 D
2 B 32 A 62 C 92 A 122 B
3 A 33 C 63 A 93 B 123 C
4 A 34 A 64 D 94 C 124 D
5 C 35 B 65 B 95 D 125 C
6 A 36 C 66 B 96 C 126 C
7 B 37 C 67 C 97 B 127 B
8 B 38 B 68 C 98 A 128 D
9 C 39 A 69 B 99 D 129 B
10 C 40 B 70 D 100 A 130 B
11 B 41 D 71 D 101 A 131 C
12 B 42 B 72 C 102 B 132 C
13 C 43 D 73 B 103 B 133 C
14 D 44 A 74 A 104 B 134 B
15 B 45 B 75 D 105 A 135 C
16 A 46 A 76 B 106 B 136 B
17 D 47 B 77 D 107 A 137 D
18 A 48 A 78 B 108 B 138 D
19 A 49 D 79 C 109 B 139 B
20 A 50 B 80 C 110 A 140 C
21 B 51 C 81 D 111 A 141 A
22 C 52 C 82 C 112 A 142 C
23 A 53 C 83 B 113 D 143 B
24 B 54 D 84 D 114 B 144 D
25 C 55 B 85 B 115 B 145 C
26 B 56 D 86 B 116 B 146 B
27 C 57 A 87 A 117 D 147 D
28 D 58 B 88 B 118 A 148 A
29 C 59 D 89 A 119 B 149 A
30 D 60 C 90 A 120 C 150 A