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CUSAT CAT 2016 Question Paper MCA

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Page 1

1

MCA (Final)

1. The number of numbers between 400 and 1000 can be made with the digits 2, 3, 4, 5, 6
and 0 is (If repetition of digits is not allowed).

A. 120
B. 30
C. 60
D. 80

2. The number of triangles that can be drawn by joining 14 points in space (no three of
which are collinear) is

A. 364
B. 182
C. 168
D. 336

3. In how many different ways can the letters of the word 'CORPORATION' be arranged so
that the vowels always come together?

A. 810
B. 1440
C. 2880
D. 50400

4. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be
formed?

A. 210
B. 1050
C. 25200
D. 21400

Page 2

2

5. In a group of 6 boys and 4 girls, four children are to be selected. In how many different
ways can they be selected such that at least one boy should be there?

A. 159
B. 194
C. 205
D. 209

6. A(B–A) is

A. AB
B. AB
C. A–B
D. B–A

7. In a class of 50 students, 20 play football and 16 play hockey. If 10 play both, the
number of students who play neither is

A. 24
B. 14
C. 36
D. 26

8. If A = {p, q, r}, B = {2, 3}, number of elements of A  B is

A. 5
B. 6
C. 9
D. 8

Page 3

3

9. If |Ab| = 2, |A| = 3, |B| = 4, then |AB| is

A. 9
B. 7
C. 5
D. None of the above

10. A relation R in C (the set of all complex numbers) is defined as follows:
xRy if x is the conjugate of y.
Which of the following is true?

A. 4 R 4i
B. i R i
C. (1+i) R(1–i)
D. –2R2

11. The line y = 3 is

A. parallel to y axis
B. parallel to x axis
C. passes through origin
D. None of the above

12. The direction cosines of z axis is

A. (1, 0, 0)
B. (0, 1, 0)
C. (0, 0, 1)
D. (1, 1, 0)

Page 4

4

13. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles
per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A. 648
B. 1800
C. 2700
D. 10800

14. The least perfect square, which is divisible by each of 21, 36 and 66 is:

A. 213444
B. 214344
C. 214434
D. 231444

15. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the
middle of the park and rest of the park has been used as a lawn. If the area of the lawn is
2109 sq. m, then what is the width of the road?

A. 2.91 m
B. 3 m
C. 5.82 m
D. None of the above

16. (51 + 52 + 53 + ... + 100) = ?

A. 2525
B. 2975
C. 3225
D. 3775

Page 5

5

1 1
17.  nm
 ?
1  a
mn
1 a

A. 0
1
B.
2
C. 1
D. a m  n

18. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds
respectively. In 30 minutes, how many times do they toll together ?

A. 4
B. 10
C. 15
D. 16

19. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days
can A do the work if he is assisted by B and C on every third day?

A. 12 days
B. 15 days
C. 16 days
D. 18 days

 1 1 1 
20. The value of     is
 log 3 60 log 4 60 log 5 60 

A. 0
B. 1
C. 5
D. 60

Page 6

6

3 2
21. The rank of the matrix   is
6 4 

A. 1
B. 2
C. 3
D. None of the above

4 2 1 3
22. The matrix A = 6 3 4 7 contains
2 1 0 1 

A. three (33) submatrices
B. five (33) submatrices
C. four (33) submatrices
D. None of the above

x 1 5   3 5
23. If   , then x and y will be
 4 y  2  4 3

A. 4, 2
B. 2, 5
C. 2, 4
D. –1, 3

24. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the
rectangle is 216 sq. cm, what is the length of the rectangle?

A. 16 cm
B. 18 cm
C. 24 cm
D. Data inadequate

Page 7

7

25. The percentage increase in the area of a rectangle, if each of its sides is increased by 20%
is

A. 40%
B. 42%
C. 44%
D. 46%

26. If a b c is the scalar triple product of vectors a , b and c , then a b c is equal to

A. b c a 

B. b a c 

C. a c b 
D. None of the above

2 2 2
27. A unit vector normal to the surface x  y  z  1 at (1, 1, 1) is

iˆ  ˆj  kˆ
A.
3
iˆ  ˆj  kˆ
B.
3
iˆ  ˆj  kˆ
C.
3
iˆ  ˆj  kˆ
D.
3

Page 8

8

1
28. The function f ( z )  2 is not analytic at
z 4

A. z = 2i
B. z = –2i
C. z =  2i
D. z = 4

2
29. C ( z  2 z  3)dz where C is the circle |z| = 3 is

A. 0
B. 3
C. –2
D. –5

30. It is being given that (232 + 1) is completely divisible by a whole number. Which of the
following numbers is completely divisible by this number?

A. (216 + 1)
B. (216 – 1)
C. (7 × 223)
D. (296 + 1)

 1 
31. If log10 7 = a, then log10   is equal to
 70 

A. ‒ (1 + a)
B. (1 + a)–1
a
C.
10
1
D.
10a

Page 9

9

32. The sum of how many terms of the series 6 + 12 + 18 + 24 + ... is 1800 ?

A. 16
B. 24
C. 20
D. 18

33. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated by the side of 3 cm to form a
cone. The volume of the cone so formed is

A. 12  cm3
B. 15  cm3
C. 16  cm3
D. 20  cm3

34. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is

A. 75 cu. m
B. 750 cu. m
C. 7500 cu. m
D. 75000 cu. m

35. A two-digit number is such that the product of the digits is 8. When 18 is added to the
number, then the digits are reversed. The number is

A. 18
B. 24
C. 42
D. 81

Page 10

10

 /2
5
36.  cos xdx is
0


A.
15
8
B.
15
8
C.
15
5
D.
2

 /2 (sin x) 3 / 2
37.  dx is
0 (sin x) 3 / 2  (cos x) 3 / 2

3
A.
4

B.
4

C.
2
3
D.
2

38. D5 (e 4 x ) is

A. 4 5 e 4 x

B. 5 4 e 4 x

C. 4 4 e 4 x
D. None of the above

Page 11

11

sin 3x
39. lim is
x0 sin 2 x

2
A.
3
3
B.
2
C. 1
D. 0

 1 if x  0

40. If f ( x)   0 if x  0 , then
1 if x  0


A. f is continuous at 0
B. f is derivable at 0
C. f is discontinuous at 0
D. None of the above

2
41. f : R  R and g : R  R are given by f ( x)  x  2 and g ( x)  x  4 . Then fo g (x) is

A. x 2  2

B. x 2  x  2

C. x 2  8 x  16

D. x 2  8 x  14

Page 12

12

1 1 1
42. The series 2  2  2  ... is
1 2 3

A. Convergent
B. Divergent
C. Oscillating
D. None of the above

43. A conical tent has base radius 7 m and height 24 m. How many meters of cloth 10 m
wide will be required to make it?

A. 110
B. 240
C. 55
D. 96

44. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is
equal to the sum of the areas of four walls, the volume of the hall is

A. 720
B. 900
C. 1200
D. 1800

45. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the
pipe is 1 cm and iron weighs 8 g/cm3, then the weight of the pipe is

A. 3.6 kg
B. 3.696 kg
C. 36 kg
D. 36.9 kg

Page 13

13

46. Radius of a circle circumscribing a square of side a is

a
A.
2
a
B.
4
C. 2a
a
D.
2

47. The centroid of a triangle is (3, 3). Two of its vertices are (2, 4) and (6, 3). Its third vertex
is

A. (1, 2)
B. (2, 1)
C. (3, 1)
D. (2, 2)

48. If the value of the mean of Poisson distribution is 5, then the value of variance is

A. 5
B. 1/5
C. 25
D. None of the above

Page 14

14

49. Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the
probability that the ticket drawn has a number which is a multiple of 3 or 5?

1
A.
2
2
B.
5
8
C.
15
9
D.
20

50. The probability of occurrence of two events A and B simultaneously is

A. P(A) + P(B)
B. P(AB)
C. P(AB)
D. P(A).P(B)

51. For a normal curve with  = 0 and  = 5, the area to the right of 10 is

A. 1
B. 0.68
C. 0.32
D. 0.5

52. {1, 3, 5, 7} is an abelian group under multiplication modulo

A. 3
B. 5
C. 7
D. 8

Page 15

15

53. A set of vectors which contains the zero vector is

A. linearly independent
B. a basis
C. linearly dependent
D. None of the above

54. (xn – an) is completely divisible by (x – a), when

A. n is any natural number
B. n is an even natural number
C. n is an odd natural number
D. n is prime

a b
55. If log  log  log  a  b  , then
b a

A. a + b = 1
B. a ‒ b = 1
C. a = b
D. a2 ‒ b2 = 1

56. If i + 2 is a root of x 2  4 x   0 , then  is

A. 5
B. 5

C. 10
D. 2

Page 16

16

3 3
57. If  and  are roots of x 2  3 x  2  0 , then    is

A. 0
B. 9
C. 8
D. –9

58. The equations a  2b  5c  4 , 3a  6b  15c  12 have

A. No solution
B. A unique solution
C. Infinite number of solutions
D. None of the above

59. The remainder when 3 x 2  x  2 is divided by x  1 is

A. 2
B. –2
C. 3
D. 0

60. The area of a triangle is given by

A. s(s  a)(s  b)(s  c)

B. (s  a)(s  b)(s  c)

C. s(s  a)(s  b)(s  c)
D. None of the above

Page 17

17

61. A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a
man who is running at 6 kmph in the direction opposite to that in which the train is
going?

A. 5 sec
B. 6 sec
C. 7 sec
D. 10 sec

dy
62. For the linear differential equation  y tan x  2 cos x the integrating factor is
dx

A. cos x
B. sin x
C. cot x
D. sec x

d2y dy
63. The solution of 2
2 is
dx dx

A. A  Be 2 x

B. Ae x

C. A  Be x

D. Ae x  Be  x

64. If a – b = 3 and a2 + b2 = 29, find the value of ab.

A. 10
B. 12
C. 15
D. 18

Page 18

18

65. The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree
and 6 shirts. If one wants to buy 12 shirts, how much will he have to pay ?

A. Rs. 1200
B. Rs. 2400
C. Rs. 4800
D. Cannot be determined

66. The angle between the planes 2x  y  z  6, x  y  2 z  3 is


A.
6

B.
2

C.
4

D.
3

d sin x 3
67. The value of  u du is given by
dx 0

A. sin x cos x
B. sin3 x cos x
C. sin2 x cos x
D. cos2 x sin x

Page 19

19

 dx
68. The value of sin  x
is given by
 e  ex

A. 

B.
2
C.  2

2
D.
2

69. How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are
divisible by 5 and none of the digits is repeated?

A. 5
B. 10
C. 15
D. 20

70. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls
be drawn from the box, if at least one black ball is to be included in the draw?

A. 32
B. 48
C. 64
D. 96

3
71. Let A = {1, 2, 3}. Define f  A  A by f (1)  2, f (2)  3, f (3)  1. Then f (2) is

A. 1
B. 3
C. 2
D. 0

Page 20

20

72. lim(1) x
x0

A. exists
B. does not exist
C. –1
D. +1

1
73. For binomial distribution with n  4, p  the value of the mean is
4

A. ½
B. 1
C. ¾
D. 2

74. 1 2 3 4 5 6 7
The permutation 2 4 5 7 6 3 1 is

A. even
B. odd
C. cyclic
D. None of the above

75. The lines x  0, y  0 and x  y  1 form a triangle of area

A. 1
1
B.
2
1
C.
3
1
D.
2

Page 21

21

Direction (Qn. Nos. 76 – 79): In the problem figures, there is a definite relationship
between figures 1 and 2. Establish a similar relationship between figures 3 and 4 by
choosing a suitable figure from the set of answer figures.

76.

77.

Page 22

22

78.

79.
14 10 4 8 1 5
8 6 10 16 17 7 ?
1 2 3 4

2 10 4 8 11 9 1 9
7 6 17 16 7 5 7 8

A B C D

Page 23

23

Direction (Qn. Nos. 80 – 83): Which figure will appear in the cell with a question mark
(?) ?

80.

A. 1
B. 2
C. 3
D. 4
81.

A. 1
B. 2
C. 3

Page 24

24

D. 4
82.

A. 1
B. 2
C. 3
D. 4

83.

A. 1
B. 2
C. 3
D. 4

Page 25

25

Direction (Qn. Nos. 84 & 85): Which of the following figure is different from the other
three?

84.

A. B. C. D.

85. In the following figure the number of squares is

A. 6
B. 7
C. 9
D. 10

Page 26

26

Direction (Qn. Nos. 86 & 87): Choose the picture that would go in the empty box so that
the two bottom pictures are related in the same way as the top two are related.

86.

A. 1
B. 2
C. 3
D. 4

Page 27

27

87.

A. 1
B. 2
C. 3
D. 4

Direction (Qn. Nos. 88 & 89): Look carefully at the sequence of symbols to find the
pattern. Select correct pattern.

88.

A. 1
B. 2
C. 3
D. 4

Page 28

28

89.

A. 1
B. 2
C. 3
D. 4

Direction (Qn. No. 90 – 94): Study the series and fill in the missing number(s)

90. 8, 10, 14, 18, __, 34, 50, 66

A. 24
B. 23
C. 25
D. 26

91. 6, 9, 18, 21, 42, 45, __, __

A. 90, 93
B. 90, 92
C. 91, 94
D. 91, 93

Page 29

29

2 1 2 1
92. , 1 , 2, 2 , 3 , __, __
3 3 3 3

2
A. 3,
3
2
B. 4, 4
3
2
C. 3, 4
3
2
D. 4, 3
3

93. 3, 2, 11, 6, __, 10, 27, __

A. 18, 15
B. 19, 14
C. 19, 15
D. 18, 14

94. 1, 8, 27, 64, 125, 216, __, __

A. 340, 511,
B. 343, 512
C. 343, 511
D. 340, 512

95. If p is a prime number greater than 3, then 3(p2–1) is always divisible by

A. 6 but not by 12
B. 12 but not by 24
C. 24
D. None

Page 30

30

Direction (Qn. No.96): Insert Plus (+) or Minus (–) between the given numbers so as to
get the total given at the end.

96. 12 3 52 7 92 = 103

A. + + + –
B. + + – +
C. + + – –
D. – + + +

Direction (Qn. Nos. 97 – 103): In these series, you are given both the letter pattern and
the number pattern. Complete the series by filling the blanks.

97. SCD, TEF, UGH, ____, WKL

A. CMN
B. UJI
C. VIJ
D. IJT

98. B2CD, _____, BCD4, B5CD, BC6D

A. B2C2D
B. BC3D
C. B2C3D
D. BCD7

99. FAG, GAF, HAI, IAH, ____

A. JAK
B. HAL
C. HAK
D. JAI

Page 31

31

100. ELFA, GLHA, ILJA, _____, MLNA

A. OLPA
B. KLMA
C. LLMA
D. KLLA

101. CMM, EOO, GQQ, _____, KUU

A. GRR
B. GSS
C. ISS
D. ITT

102. ZA5, Y4B, XC6, W3D, _____

A. E7V
B. V2E
C. VE5
D. VE7

103. DEF, DEF2, DE2F2, _____, D2E2F3

A. DEF3
B. D3EF3
C. D2E3F
D. D2E2F2

Page 32

32

Direction (Qn. Nos. 104 & 105): Choose the picture that would go in the empty box so
that the two bottom pictures are related in the same way as the top two are related.

104.

A. 1
B. 2
C. 3
D. 4

Page 33

33

105.

A. 1
B. 2
C. 3
D. 4

Direction (Qn. Nos. 106 – 110): Find the statement that must be true according to the
given information.

106. Vincent has a paper route. Each morning, he delivers 37 newspapers to customers in his
neighborhood. It takes Vincent 50 minutes to deliver all the papers. If Vincent is sick or
has other plans, his friend Thomas, who lives on the same street, will sometimes deliver
the papers for him.

A. Vincent and Thomas live in the same neighborhood.
B. It takes Thomas more than 50 minutes to deliver the papers
C. It is dark outside when Vincent begins his deliveries.
D. Thomas would like to have his own paper route

Page 34

34

107. The Pacific yew is an evergreen tree that grows in the Pacific Northwest. The Pacific yew
has a fleshy, poisonous fruit. Recently, taxol, a substance found in the bark of the Pacific
yew, was discovered to be a promising new anticancer drug.

A. Taxol is poisonous when taken by healthy people
B. Taxol has cured people from various diseases
C. People should not eat the fruit of the Pacific yew
D. The Pacific yew was considered worthless until taxol was discovered

108. Erin is twelve years old. For three years, she has been asking her parents for a dog. Her
parents have told her that they believe a dog would not be happy in an apartment, but
they have given her permission to have a bird. Erin has not yet decided what kind of bird
she would like to have

A. Erin's parents like birds better than they like dogs
B. Erin does not like birds
C. Erin and her parents live in an apartment
D. Erin and her parents would like to move

109. Tim's commute never bothered him because there were always seats available on the train
and he was able to spend his 40 minutes comfortably reading the newspaper or catching
up on paperwork. Ever since the train schedule changed, the train has been extremely
crowded, and by the time the doors open at his station, there isn't a seat to be found.

A. Tim would be better off taking the bus to work
B. Tim's commute is less comfortable since the train schedule changed
C. Many commuters will complain about the new train schedule
D. Tim will likely look for a new job closer to home

Page 35

35

110. When they heard news of the hurricane, Maya and Julian decided to change their
vacation plans. Instead of traveling to the island beach resort, they booked a room at a
fancy new spa in the mountains. Their plans were a bit more expensive, but they'd heard
wonderful things about the spa and they were relieved to find availability on such short
notice.

A. Maya and Julian take beach vacations every year
B. The spa is overpriced
C. It is usually necessary to book at least six months in advance at the spa
D. Maya and Julian decided to change their vacation plans because of the hurricane

Directions (Qn. Nos. 111 – 115): Read the following and answer the questions that
follow:

i) There is a group of seven persons seated around a table.
ii) Their professions are: Housewife, Doctor, Engineer, Teacher, Chemist, Manager,
Professor respectively.
iii) There are 3 females including the housewife. The Engineer is not a female.
iv) Two of them are husband-wife. The profession of the wife is teaching. Her
husband is the oldest of the seven.
v) The youngest of the group is a female. She does not teach and she is not a
housewife.
vi) The individual ages of the Professor, the Doctor and the Manager are more than
the average age of the whole group.
vii) If the Professor is not counted then the average age of the group decreases.
viii) Now, answer the following questions.

111. Who among the following is the married couple?

A. Teacher-Professor
B. Teacher-Chemist
C. Teacher-Manager
D. Can’t be said

112. Who among the following is younger only to the oldest?

A. Manager
B. Doctor
C. Manager or Doctor

Page 36

36

D. Can’t be said

113. Who among the following is not a female?

A. Teacher
B. Housewife
C. Chemist
D. None of the above

114. What is the sex of the doctor and the manager?

A. Male and male
B. Male and female
C. Female and female
D. female and male

115. Who is the youngest of the group?

A. Chemist
B. Doctor
C. Engineer
D. Can’t be said

Direction (Qn. Nos. 116 – 119): Find the statement that must be true according to the
given information.

116. Ten new television shows appeared during the month of September. Five of the shows
were sitcoms, three were hour-long dramas, and two were news-magazine shows. By
January, only seven of these new shows were still on the air. Five of the shows that
remained were sitcoms.

A. Only one of the news-magazine shows remained on the air
B. Only one of the hour-long dramas remained on the air
C. At least one of the shows that was cancelled was an hour-long drama
D. Television viewers prefer sitcoms over hour-long dramas

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117. On weekends, Mr. Sanchez spends many hours working in his vegetable and flower
gardens. Mrs. Sanchez spends her free time reading and listening to classical music. Both
Mr. Sanchez and Mrs. Sanchez like to cook.

A. Mr. Sanchez enjoys planting and growing vegetables
B. Mr. Sanchez does not like classical music
C. Mrs. Sanchez cooks the vegetables that Mr. Sanchez grows
D. Mrs. Sanchez enjoys reading nineteenth century novels

118. Georgia is older than her cousin Marsha. Marsha's brother Bart is older than Georgia.
When Marsha and Bart are visiting with Georgia, all three like to play a game of
Monopoly. Marsha wins more often than Georgia does.

A. When he plays Monopoly with Marsha and Georgia, Bart often loses
B. Of the three, Georgia is the oldest
C. Georgia hates to lose at Monopoly
D. Of the three, Marsha is the younger

119. Sara lives in a large city on the East Coast. Her younger cousin Marlee lives in the Mid-
west in a small town with fewer than 1,000 residents. Marlee has visited Sara several
times during the past five years. In the same period of time, Sara has visited Marlee only
once.

A. Marlee likes Sara better than Sara likes Marlee
B. Sara thinks small towns are boring
C. Sara is older than Marlee
D. Marlee wants to move to the East Coast

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Direction (Qn. Nos. 120 – 124): A good way to figure out the relationship in a given
question is to make up a sentence that describes the relationship between the first two
words. Then, try to use the same sentence to find out which of the answer choices
completes the same relationship with the third word.

120. Odometer is to mileage as compass is to

A. speed
B. hiking
C. needle
D. direction

121. Marathon is to race as hibernation is to

A. winter
B. bear
C. dream
D. sleep

122. Window is to pane as book is to

A. novel
B. glass
C. cover
D. page

123. Cup is to coffee as bowl is to

A. dish
B. soup
C. spoon
D. food

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124. Yard is to inch as quart is to

A. gallon
B. ounce
C. milk
D. liquid

125. Pointing to a picture in a photograph, a woman said: “this man is the father of the brother
of my mother’s one of the two sons-in-law.” How is the man related to the woman?

A. Father
B. Father-in-law
C. Brother
D. Husband

126. If ‘water’ is called ‘dock’, ‘dock’ is called ‘garage’, ‘garage’ is called ‘sky’ and ‘sky’ is
called ‘shipyard’, where does a swimmer swim?

A. dock
B. water
C. garage
D. sky

Directions (Qn. Nos. 127 – 131): In the following three are similar and one is different.
Pick out the odd one out.

127. A. Dictionary
B. Biography
C. Atlas
D. Directory

128. A. Deuce
B. Pitch
C. Crease
D. Stump

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129. A. Iron
B. Mercury
C. Copper
D. Silver

130. A. Moon
B. Saturn
C. Venus
D. Earth

131. A. +
B. –
C. 
D. 

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Directions (Qn. Nos. 132 - 136): Study the following figure and answer the questions. The
triangle represents doctors. The circle represents players and the rectangle represents
engineers.

25
4 27
3
22 8

30

132. How many doctors are both players and engineers?

A. 4
B. 3
C. 11
D. None of the above

133. How many engineers are players?

A. 22
B. 30
C. 25
D. None of these

134. How many doctors are neither players nor engineers?

A. 30
B. 22
C. 27
D. 8

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135. How many engineers are neither players nor doctors?

A. 22
B. 29
C. 25
D. None of the above

136. How many players are neither engineers nor doctors?

A. 4
B. 3
C. 22
D. None of the above

137. “Corruption needs to be fought at all costs. We are paying a heavy price for corruption” –
A minister in his speech.

I. The minister is not corrupt.
II. There exists corruption in our system.
III. Politicians suffer the most as a result of corruption.

A. I and II are implicit
B. II and III are implicit
C. I and III are implicit
D. I, II and III are implicit

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Direction (Qn. Nos. 138 – 142): Read the following set of information correctly and then
answer the questions that follow:

i) There is a group of six persons living in a four storeyed building. The persons are
A, B, C, D, E and F. Each storey of the building has two flats; thus there are eight
Flats in total; two of them being empty.
ii) The heaviest of the group lives on top floor; while the lighted lives on ground floor.
iii) C is heavier than B, who, in turn, is heavier than F.
iv) E is lighter than D.
v) One of the flats in the first floor is vacant while one in the second floor is also vacant.
vi) A is neither the heaviest nor the lightest.
vii) There are only two people heavier than C; A is not one of them.
viii) B shares the floor with the heaviest of the group while C shares it with the lightest.

138. Who among the following is the heaviest of the group?

A. D
B. C
C. A
D. Can’t say

139. Who does C share the floor with?

A. F
B. E
C. A
D. Can’t say

140. On which floor does A live?

A. Ground floor
B. First floor
C. Second floor
D. Can’t say

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141. E and A, live

A. on the same floor
B. on two continuous floors
C. with one floor between their floors
D. with two floors between their floors

142. Starting from the heaviest of the group what is the rank of A in the order of weight?

A. Fourth
B. Fifth
C. Sixth
D. Fourth or fifth

Direction (Qn. Nos. 143 & 144): Each question presents a situation and asks you to
make a judgment regarding that particular circumstance. Choose an answer based on
given information.

143. Eileen is planning a special birthday dinner for her husband's 35th birthday. She wants
the evening to be memorable, but her husband is a simple man who would rather be in
jeans at a baseball game than in a suit at a fancy restaurant. Which restaurant below
should Eileen choose?

A. Alfredo's offers fine Italian cuisine and an elegant Tuscan decor. Patrons will feel as
though they've spent the evening in a luxurious Italian villa.
B. Pancho's Mexican Buffet is an all-you-can-eat family style smorgasbord with the best
tacos in town.
C. The Parisian Bistro is a four-star French restaurant where guests are treated like
royalty. Chef Dilbert Olay is famous for his beef bourguignon.
D. Marty's serves delicious, hearty meals in a charming setting reminiscent of a baseball
clubhouse in honor of the owner,Marty Lester, a former major league baseball
all-star.

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144. The film director wants an actress for the lead role of Lucy who perfectly fits the
description that appears in the original screenplay. He is not willing to consider actresses
who do not resemble the character as she is described in the screenplay, no matter how
talented they are. The screenplay describes Lucy as an average-sized, forty something
redhead, with deep brown eyes, very fair skin, and a brilliant smile. The casting agent has
four actresses in mind.
Actress #1 is a stunning red-haired beauty who is 5'9" and in her mid-twenties. Her eyes
are brown and she has an olive complexion.
Actress #2 has red hair, big brown eyes, and a fair complexion. She is in her mid-forties
and is 5'5".
Actress #3 is 5'4" and of medium build. She has red hair, brown eyes, and is in her early
forties.
Actress #4 is a blue-eyed redhead in her early thirties. She's of very slight build and
stands at 5'.

A. 1, 2
B. 2, 3
C. 1, 4
D. 2, 4

Direction (Qn. Nos. 145 & 146): Each question has an underlined word followed by four
answer choices. You will choose the word that is a necessary part of the underlined word.

145. harvest

A. autumn
B. stockpile
C. tractor
D. crop

146. book

A. fiction
B. pages
C. pictures
D. learning

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Direction (Qn. Nos. 147 & 148): Look carefully at the sequence of symbols to find the
pattern. Select correct pattern.

147.

A. 1
B. 2
C. 3
D. 4

148.

A. 1
B. 2
C. 3
D. 4

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Direction (Qn. Nos. 149 & 150): Answer the questions based on the statements,
conclusions/assumptions given.

149. Statements:
Some boxes are chocolates.
Some tables are desks.
No box is a desk.
Conclusion:
I. Some chocolates are desks
II. Some chocolates are not desks
III. Some tables are boxes
IV. Some tables are not boxes

A. Only II follows
B. Either I or II, and Either III or IV follows
C. II and IV follow
D. Any three of the above follow

150. The workers have decided to go on a strike. God, what will happen to our supply-
rder! – A manufacturer.

Assumptions
I. It is not moral of the workers to go on a strike.
II. Supply likely to be disturbed as a result of the strike
III. Praying to God may help one in a critical situation

A. Only I follows
B. Only II follows
C. I and II follow
D. I and III follow

***

Document Details

Board / OrgCochin University
ExamCUSAT CAT
TypeQuestion Paper
Pages47
Updated22 Jul 2026

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