CUSAT CAT 2019 Question Paper MCA

MCA

019
2
S T
E
1. T
The function f ( x )=x ∨ real x is
N
O
(A) I
Differentiable at x = 0
S
IS
(B) Not differentiable at x = 0
(C) Not continuous at x = 0
M
D
M
(D) None of the above
A

N
O
M

S
2.

AT
M
(A)
(B)
O E
COThe function f defined by
C T
is continuous at x = 0
is not continuous at x = 0

CU
(C)
(D)

AT
is not continuous at x = 0 if a = 1

N
is continuous at x = 0 if a = 1

19
3.
S IO 2 0
If f : R → R and g : R → R are given by f ( x )=x +1 , g ( x )=x 2 , then g of (x) =

(A)
(B)
(C)
U S
( x +1 )2

C IS
x 2+ 1
x +1+ x
2
T E ST
(D) 2
x + x+1 N
O
M IS
S I
D
4. sinx+cosx attains its maximum at

M
A
π
(A) D
2
π A
(B) N
4
O
(C) π
−π M
(D) M
2
C O
AT
S
CU

5. If log 2 = 0.30103, the number of digits in 2128 is

(A) 38 019
(B) 39 2
(C) 40
S T
E
(D) 41
T
N
O
6. I
The product of two complex numbers 1 + i and 2 − 5i is
S
(A) 7 − 3i IS
M
D
M
(B) 3 − 4i
(C) A
−3 − 4i

(D) N
7 + 3i
O
M
7.

SA
T
O
M
O E
The function f defined by f ( z )=3+ix+iy is
C (A) Discontinuous at z = 0
C T
(B) Continuous at z = 0

CU
T
(C) Analytic at z = 0

N
(D) None of the above

8. A
S IO 2 0 19
The real part of a non-constant analytic function is

(A)
(B)
(C)
(D)
U S
Discontinuous

C IS
Continuous
Analytic
None of the above T E ST
N
O
9.
M S I
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7
IS
D
a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels
M
towards A at a speed of 25 kmph. At what time will they meet?

(A)
(B)
(C)
A 9 a.m.
10 a.m.
O
N
10.30 a.m.
A
D
(D) 11 a.m.
M
M
C O
AT
S
CU

10. A towel, when bleached, lost 20% of its length and 10% of its breadth. What is the
percentage decrease in area?
019
(A) 30% 2
(B) 28%
S T
E
(C) 32%
(D) 26% T
N
O
O 20 SI
11. D 3 ( e 2 x ) is IS
M
M
D
2x
(A) 8e
A

(B) 2 e2 x
N
(C) O4 e2x
M
O
(D) None of the above
M
A T
S 12.
CO
CU
T
General solution of is

(A)

A N
y=Aex+Be2x+Ce3x
19
S IO
(B) y=3ex
(C) y=A + Be2x
2 0
U S
(D) y = Aex+Be2x
ST
13.
C IS T E
Particular integral of differentiation equation (D3 +D) y = cos x is

O
N
M I
(A)
S
IS
(B)
D M
A
(C)
O
N
A
D

M
(D) M
C O
AT
S
CU

19
14. The expression is equal to

(A) -x/2 cos(x – y ) 20
(B) -x/2 sin(x – y) + cos(x – y)
S T
E
(C) -x/2 cos(x – y) + sin(x – y)
(D) 3x/2 sin(x – y) T
N
O
SI
IS of the differential equation
2 2
15. y + x + c is the solution
M
=x D
M
dy
(A)
dx A

dyN
(B) O = y
M dx

SA T
CO
M
(C)

(D)
dy x
=
dx y
dy y
O
T
=

CU
dx x

A N 19
S IO 0
16. Find ∫ 4cos (2x + 3) dx.
2
U S
(A) 4sin(2x +3) + C
(B) – 4sin(2x + 3) + C
ST
C IS E
(C) 2sin(2x + 3) + C
(D) –2sin(2x + 3) + C
T
N
O
M IS
S I
D
17. The integral when evaluated by using Simpson’s 1/3rd rule on two equal sub-

M
intervals each of length 1, equals

(A)
(B)
(C)
(D)
A 1.000
1.098
1.111
O
1.120
N
A
D

M
M
C O
AT
S
CU

18.
19
Which of the following correctly evaluates the definite integral
0
(A) 97/3 2
(B) 110/3
S T
E
(C) 74/3
(D) 4 T
N
O
SI
IS
M
M
19.
D evaluates to
A

(A) 0
N
(B) O
1
M
(C) ln 2

A T
S 20.
CO
∫
M
(D)

dx
O
½(ln 2)

CU
T
√ ax+ b
(A)

A
√ ax +b
N 19
S IO
2 √ ax +b
(B)
a
2 0
U S T
(C) 2 √ ax+ b
√ ax+ b S
C IS E
(D)
a
T
N
O
M I
21. If u = xx + yy + zz, find du⁄dx + du⁄dy + du⁄dz at x = y = z = 1
S
IS
D
(A) 1
(B) 0
M
A D
(C) 2u
(D) u
A
N
O
22. If Q = r cot θ, then is M
M
(A)
(B)
cot θ
-cosec2θ C O
(C)
AT
cot θ - r cosec2θ
(D) ½ cot θ
S
CU

23. Differentiating i = 3sin 2t - 2cos 3t with respect to t gives

(A) 3cos 2t + 2sin 3t 019
(B) 6(sin 2t – cos 3t) 2
(C) 3/2cos 2𝑡 + 2/3 sin3𝑡
S T
E
(D) 6(cos2t + sin3t)
T
N
O
S I
24.
IS in a dish is modeled by the function
The growth of bacteria . For which value
M
M
of t is
D
(A) 8 A

(B) O 2
N
(C)M 15
M
O
(D) 16

T
CO

SA25. What is the solution set of the inequality
CU (A)

AT N 19
S IO 0
(B)
2
(C)

U
C IS
(D) S T E ST
N
O
26.
M S I
Consider the system of simultaneous equations
IS
D x + 2y + z = 6
M
A D
2x + y + 2z = 6
x+y+z=5
A
The system hasN
O
(A) a unique solution
M
(B) infinite number of solutions
M
(C)
(D)
no solution
exactly two solutions
C O
AT
S
CU

2 3
x x
27. x ( 2 x ) 2
3 ( 2()
x ) 3
3 () is
19
2 x− +
3 2!
−
2!
+
3!
−
3!
+…
20
(A) e 3
5x
S T
E
x T
(B) e x −e 3
N
O
(C) e 2 x . e
x
3
SI
x IS
M
M
(D) e 2 x − e 3
D
A

N1 n ( n+1 ) 1
O 2
28. ( ) ( )
M x 1.2 1− x +… is equal to
1+n 1− +

SA T
O
M
C (A) 1 − 1
( ) x O
C T
−n

E
T
n
1
CU ( )
(B) 1 −

N
x

A 9
−n
1
( ) 1
S IO
(C) 1+

(D) x n
x
2 0

29. 1+logx+
U
C IS S
( logx )2 ( logx )3
2!
+
3! T E ST
+ … is equal to
N
O
M I
(A) log x
(B) ex S
IS
D
(C) x
(D) None of the above
M
30.
A O
N
A
D
Which equation is equivalent to
M
(A)
M
(B)
C O
(C)
AT
S
CU

(D)

019
2
S T
E
T
N
O
SI
IS
M
A
D
M
N
O
M

SAT
CO
M
O
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

31. If x2 + x − 1 = 0, what is the value of
019 ?
(A) 1
2
(B) 5 S T
E
(C) 9
T
(D) 8
N
O
SI
32. IS then x (x -1) is always divisible by
If x is a whole number, 2 2

M
(A) 12
(B) 24 A
D
M
N
O
(C) 12-x
(D)M multiple of 12

SA T
O
M
O
33. C If , ,  are the roots of x + 17 x+ 9=0 , then
3

T
(A)  +  = 
CU
N
(B)  +  = 

A
(C)  +  = 

19
S IO
(D)  +  = –

2 0
U S T α+β
34. If  and  are the roots of x 2+ 4 x +8=0 , then is
S αβ

(A)
C IS
1
2
O
N
T E

M I
−1
(B)
2 S
IS
D
(C) 2
(D) −2 M
35. A O
N
A
D
The equation x 3 − 3 x +2=0 has

(A) 3 real roots
M
(B) no real root
M
(C)
(D)
all imaginary roots
None of the above
C O
AT
S
CU

019
2
36. If then A50 is
S T
E
T
(A) N
O
SI
IS
M
(B)
A
D
M
N
O
M
M
O
(C)

SAT
CO
T
(D)
CU
A N 19
37.
S IO 2 0
What values of x, y and z satisfy the following system of linear equations?

U
C IS S T E ST
N
O
M I
(A) x = 6, y = 3, z = 2
(B) S
x = 12, y = 3, z = –4
IS
D
(C) x = 6, y = 6, z = –4
(D)
M
x = 12, y = –3, z = 0

A O
N
A
D

M
M
C O
AT
S
CU

019
38. What are the three characteristics roots2of the matrix A= ?
S T
TE
(A) 2, 3, 3
(B) 1, 2, 2
N
(C) 1, 0, 0
O
(D) 0, 2, 3 S I
IS
M
aD 0 0
M
The matrix Aa b 0 is invertible if
[ ]
39.
N
O a b 0
M
M
O
(A) abc  0

SA
T
CO (B)
E
a ( a+ b ) ( a+b +c ) ≠ 0

C T
(C) One of a, b, c is non-zero
(D) One of a, b, or c takes a positive value

CU
40. (
AT
The inverse of) N
cosθ sinθ
is
19
S) IO
− sinθ cosθ

2 0

( U )
− cosθ sinθ

S
(A) ( − sinθ cosθ T
S
(B)
C( ) IS
cosθ sinθ
sinθ − cosθ

O
N
T E

( M)
cosθ − sinθ
(C)
sinθ cosθ
S I
IS
D
− cosθ − sinθ
(D)
sinθ −cosθ M
41. A
L(1) = ?
O
N
A
D

M
(A)
M
C O
(B)
AT
S
CU

(C)
019
(D)
2
S T
E
T
N
O
SI
42. IS
The inverse Laplace transform of the function is
M
(A) t
(B) te A
D
-t

M
(C) t N2

(D) O 2 -t
Mt e

SA T
O
M

1
O
43. C The Laplace transform of t is n

CU
T
(A)
s n+1

A
n
N 19
S IO
(B) n+1
s
n! 2 0
U S
(C)
s
n+1

ST
C IS E
(D) None of the above
T
N
O
M
1
44.
S I
The inverse Laplace transform of
( s +a ) ( s +b )
is

IS
D
− at − bt
e −e
(A)
M
A D
b −a

(B)
e −e
at
A bt

b−a
N
O
e at +e bt
(C)
b+ a M
M
(D)
e at +e bt
b−a C O
AT
S
CU

45. A rectangular field has to be fenced on three sides leaving a side of 20 feet uncovered. If

19
the area of the field is 680sq. feet, how many feet of fencing will be required?
0
(A) 9595 2
(B) 9292
S T
E
(C) 8888
(D) 82 T
N
O
SI
IS
M
A
D
M
N
O
M

SAT
CO
M
O
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

46. If points of straight line are M(7, 1) and N(7, 2), then line MN is

(A) horizontal line with equation x = 1 019
(B) vertical line with equation x = 2 2
(C) vertical line with equation x = 7
S T
E
(D) horizontal line with equation x = 7
T
N
O
47.
SI
The angle made by the line y=x +1 with x axis is

(A) 90 IS
M
D
M
(B) 60
(C) 30 A

(D) N
45
O
M
48.

SA
T
O
M
C (A) (0, 0, 0) O
C T
(B) (0, –2, 0) E
The plane x +2 y +3 z +4=0 passes through

CU
T
(C) (0, 0, 1)

N
(D) (1, 0, 1)

49. A
S IO 2 0 19
The equation to the plane passing through (1, 3, –2) parallel to x + y − z=3 is

(A)
(B)
(C)
(D)
U S
x + y − z=5

C IS
x + y − z=4
x + y − z=6
x + y − z=0 T E ST
N
O
50.
M
The line x = 4 is
IS
S I
(A)
D M
parallel to y axis

A D
(B) parallel to x axis
(C)
A
passes through origin
(D)
N
None of the above

O
51. M
The area of an equilateral triangle is √3. What is the perimeter of the triangle?
M
(A)
(B)
2
4 C O
(C)
(D)
6
8 AT
S
CU

52. In triangle ABC, angle C = 30 if

(A) AB = AC 019
(B) Angle B = 120 2
(C) AB = AC and angle B = 120
S T
 ABC is an isosceles triangle
E
(D)
T
N
O
53. I
The area of the triangle with sides 3, 4, 5 cm is
S
(A) 5 IS
M
D
M
(B) 6
(C) 8 A

(D) 9N
O
M
54.

SA
T
O
M
O E
If a vertex of a triangle is (1, 1) and the mid-points of two sides through this vertex are
C (-1, 2) and (3, 2), then the centroid of the triangle is
C T
CU
T
(A) (-1, 7/3)

N
(B) (-1/3, 7/3)

A 9
(C) (1, 7/3)
1
S IO
(D) (1/3, 7/3)

2 0
55.

(A)
U
C IS
G.P.
S T E
then sin A, sin B, sin C are in
T
If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P.,
S
(B) A.P. N
O
M I
(C) Arithmetic – Geometric Progression
S
IS
(D) H.P.

D M
A D
56. A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the
A
probability that the ball drawn is white?
N
(A) 3/4
O
(B)
(C)
4/7
1/8 M
(D) 3/7 M
C O
AT
S
CU

57. What is the probability of getting a sum 9 from two throws of a dice?

(A) 1/6 019
(B) 1/8 2
(C) 1/9
S T
E
(D) 1/12
T
N
O
58. I
For a die, the probabilities for the different faces to form up are
S
S
Face I 1 2 3 4 5 6
M
AP
M
D 0.1 0.32 0.21 0.15 0.05 0.17

N
O
M
This die is tossed and you are told that either face 1 or face 2 has turned up, then the

SAT
M
(B) 1/10
O
probability that it is face 1 is
CO (A) 16/21

CU
T
(C) 5/16

N
(D) 5/21

59. A
S IO 2 0 19
A list of 5 pulse rates is: 70, 64, 80, 74, 92. What is the median for this list?

(A)
(B)
(C)
(D)
U74

C IS
76
77
80
S T E ST
N
O
60.
M S I
k is an even number. p is an odd number. Which of the following statement is not
IS
D
correct?
M
A D
(A) p – k – 1 is an odd number
(B)
A
p + k + 1 is an even number
(C)
N
p × k + p is an odd number
(D)
O
p2 + k2 + 1 is an even number

M
61. M between above vectors is
Vector a= 3i+2j-6k and b=4i-3j+k, angle

(A) 90 degrees C O
(B) 0 degrees
A T
(C) 45 degrees
S
(D) 60 degrees
C U

019
62. Rank of the matrix is2
ST
TE
(A) 4
(B) 2
N
(C) 3
O
(D) 1 SI
IS
M
63. D
M
The maximum value of f(x) = x3-9x2+24x+5 in the interval [1, 6] is
A

(A) N
(B) O21
25
M
M 46
O
(C)

CO
E
(D)41

A T
S 64. C T
Div (grad ) is equal to
CU (A)
(B)
0

AT
div 
N 19
S IO
grad 
(C)
(D) 2
∇ ∅ 2 0
65. U
C IS S E ST
A set of vectors which contains the zero vector is
T
(A)
N
linearly independent
O
M
(B) a basis
(C)
S I
linearly dependent

IS
(D) None of the above

D M
66.
A N
A
D
The value of the expression

(A) 0 O
is

(B) 1∕2 M
(C) 1 M
(D) 1∕(1+e)
C O
AT
S
CU

67. is
019
2
(A)
(B)
1/4
1/2 S T
E
(C) 1 T
(D) 2 N
O
SI
sin ( x − 1 )
isM
IS

M
68. lim
x →1 x −1
D
A

(A) 0 N
(B) O 1
(C)M 

T
CO
M
O
(D) None of the above

C T
SA69. lim 9 x −3 x − 5 x −1 is
3 2 E
CU
T1− x3

N
x→ ∞

(A)
(B)
(C)
–9
9
1 A
S IO 2 0 19

U S
(D) –1

ST
( C)
IS
70. lim 1 −
m n
is equal to T E
n→∞ n
N
O
(A) e −m

M IS
S I
D
(B) e −n

M
m
(C) e − ( n )

A
(D) e n
m

O
N
A
D

M
M
71.
C O
(A)
AT
(B) S
CU

(C)

(D) 019
2
S T
E
T
72. sin − 1 ( √12 ) is O
N

SI
(A)
π
IS
M
M
4
D
+A
π nπ
(B)

4N 2
Oπ
(C)M +nπ

SAT
M 4
CO (D) π4 +2 nπ O
CU 73. −1

AT
sin x +cos x is
N
−1

19
S IO 0
π
(A)
2 2
(B)
U
C IS S
π
4
π T E ST
(C)
3 N
O
(D)
M π
6
IS
S I
D M
74.
A A
D
A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is
1/2. Then the length of the semi−major axis is

(A) O
4/3
N
(B) 8/3 M
(C) 7/3 M
(D) 5/3
C O
75. AT
A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex
S
of the parabola is at
CU

(A) (0, 2)

19
(B) (0, 1)
(C)
(D)
(1, 0)
(2, 0) 20
S T
E
T
N
O
SI
IS
M
A
D
M
N
O
M

SAT
CO
M
O
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

76. Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in
figure (X).
019
2
S T
E
T
N
O
SI
IS
(A) 1
(B) 2
M
D
M
(C) 3
(D) 4 A

N
O
M
O
77. Find out which of the figures (1), (2), (3) and (4) can be formed from the pieces given in
M
CO
E
figure (X).

SAT
C T
CU
AT N 19
(A)
(B)
S IO
1
2 2 0
(C)

U
C IS
(D)
3
4
S T E ST
78. N
Find out how the key figure (X) will look like after rotation
O
M IS
S I
D M
A
(A)
(B)
1
2 O
N
A
D

(C) 3
M
(D) 4
M
C O
AT
S
CU

79. Find out how the key figure (X) will look like after rotation

019
2
S T
E
T
N
O
(A)
(B)
1
3 SI
(C) 2 IS
M
M
(D) 4
D
A

N
O
Direction: In each of the following questions there are five figures 1, 2, 3, 4 and 5. Out of these
M
O
five figures four are similar in a certain way. However, one figure is not like the other four.
M
O
E
Choose the figure which is different from the rest
C
SA T
80.
C T
CU
AT N 19
(A)

S IO
1
2 0
U
(B) 3

S T
(C) 2
S
C IS E
(D) 4
T
81. N
O
M IS
S I
D M
A
(A)
(B)
(C)
(D)
1
3
2
5 O
N
A
D

M
M
C O
AT
S
CU

82.

019
(1) (2) (3) (4) (5) 2
S T
E
(A) 1
(B) 2 T
(C) 3 N
O
(D) 4
SI
IS
M
83.
A
D
M
N
O
M(1) (2) (3) (4) (5)

SAT
M
CO (B) 2
(A) 1

(C) 3
(D) 4
O
CU
AT N 9
Directions: There is some relationship between the figures ‘1’ and ‘2’. The same relationship
1
S IO
exists between the figure 3 and one of the four alternatives (a), (b), (c) and (d). Choose the
alternative figure
2 0
U
84.

1
C IS S2 3
N
T E ST
4 a b c d
O
(A)
(B)
M
a
b
IS
S I
(C)
(D)
D c
d M
A O
N
A
D

M
M
C O
AT
S
CU

Directions: There is some relationship between the figures ‘1’ and ‘2’. The same relationship

19
exists between the figure 3 and one of the four alternatives (a), (b), (c) and (d). Choose the
alternative figure
20
85.
S T
E
T
N
O
1 2
SI 3 4 a b c d

(A) a IS
M
M
(B) b
D
(C) c A

(D) dN
O
M

S
86.

AT
CO
M
O
How many squares does the figure have?

CU
AT N 19
S IO 0
(A) 6
(B) 7 2
U S T
(C) 9
(D) 10 S
87. C IS N
T E
How many triangles are there in the figure below?
O
M IS
S I
D M
A
(A)
(B)
(C)
5
6
8 O
N
A
D
(D) 10
M
M
C O
AT
S
CU

Direction: Analyse the following figure and choose the correct answer.

019
2
S T
E
T
N
O
88. Find the number of S
M
I
SI
quadrilaterals.

(A) 6
(B) 7 A
D
M
(C) 9 N
(D) O
M 10

SA T
O
M

(A) 2
O
89. C Find the number of pentagons.

CU
T
(B) 3

A N
(C) 4
(D) 6
19
S IO 2 0
U S
90. How many points will be on the face opposite to the face which contains 2 points?

ST
C IS O
N
T E

M IS
S I
(A)
D 1
M
A D
(B) 5
(C)
(D)
4
6 A
N
O
M
M
C O
AT
S
CU

91. Two positions of a dice are shown below. When number '1' is on the top, what number

19
will be at the bottom?

20
S T
E
T
N
O
(A) 3 SI
(B) 5 IS
M
M
(C) 2
(D) 6 D
A

N
O
92. M
Replace the Question Mark with correct alternative 13, 35, 57, 79, 911, ……?…….

SAT
M
CO (A) 1110
(B) 1112
(C) 1113
O
CU
T
(D) 1315

A N 19
S IO
93. Replace the Question Mark with correct alternative 567, 189, 63, 21, …...?….....
2 0
U
(A) 12
(B)

C IS
(C)
(D)
18
7
9 S N
T E ST

O
94.

M IS
S I
Replace the Question Mark with correct alternative 5, 12, 26, 54, 110, …...?….....

D
(A) 220
(B) 222
M
A D
(C) 210
(D) 156 A
N
O
95.
M
In a survey of 150 readers it has been found that 75 read newspaper A, 90 read newspaper

M
B and 70 read newspaper C. 40 read A and B, 35 read B and C, 30 read A and C and 10

O
read all the three. If so how many read exactly one newspaper?
C
(A)
(B)
35
55
AT
(C) 235 S
(D) 120
CU

3 1 1 1 1
019
96. Complete the series: , , , , ,……..
2 3 2 6 12 2
S T
E
1
(A)
72 T
N
2 O
(B)
72 SI
3 IS
M
M
(C)
72 D
A

N
(D) None of the above
O
M
M
O
97. Complete the series: 17, 11, 15, 13, 13, 15, 11, ……..

SA
CO (A) 11
T (B) 13
T
(C) 15
CU
N
(D) 17

98.
A
S IO
Fill up the blanks
2 0 19

U S T
2, 4, 5, 10, 11, 22, ___, ___
S
C IS E
(A) 22, 45
(B) 23, 46 T
(C) 22, 46
N
O
M I
(D) 23, 45
S
IS
99.

D
Fill up the blanks
M
A
(A)
(B)
2, 6
1, 5
O
N
A
D
8, 3, 6, 4, 4, 5, ___, ___

(C) 1,6
M
(D) 2, 5
M
C O
100. Fill up the blanks

AT
S
3, 2, 11, 6, __, 10, 27, __

(A) 18, 15
CU

(B) 19, 14

19
(C) 19, 15
(D) 18, 14
20
S T
E
101. Fill up the blanks
T
N
ak, eo, is, qa, ue, ___
O
SI
IS
(A) lv
(B) mw
M
D
M
(C) nx
(D) lw A

N
O
M
O
102. Fill up the blanks
M

SAT
CO
(A) Y17O
P3C, R5F, T8I, V12L, ___

CU
T
(B) X17M

N
(C) X17O

A 9
(D) X16O
1
S IO 2 0
U
103. Fill up the blanks

C IS
2 1
3 3S 2
2 1
3 3

N
E S
, 1 ,2 , 2 ,3 , ___, ___
T
T

(A) 3 , 3
O
M I
3
S
IS
2

D
(B) 4 , 4
3
M
A D
2
(C) 3 , 4
3
A
2N
(D) 4 , 3
O3
M
M
104. Fill up the blanks
C O
T
QPO, NML, KJI, _____, EDC
A
(A) HGF S
(B) CAB
CU

(C) JKL

19
(D) GHI

20
105. Fill up the blanks
S T
E
T
P5QR, P4QS, P3QT, _____, P1QV
N
O
(A) PQW
SI
IS
(B) PQV2
(C) P2QU
M
D
M
(D) PQ3U
A

N
106. O
If 'MEAT' is written as 'TEAM', then 'BALE' is written as
M

SAT
M
(A) ELAB
CO (B) EABL
(C) EBLA
(D) EALB
O
CU
107.

AT N 9
If WATER is written as ‘YCVGT’, then what is written as 'HKTG'?
1
(A)

S IO
IRFE
2 0
U
(B) FIRE

S T
(C) REFI
S
C IS
(D) ERIF

T E
108. N
In a certain code, 3456 is coded as ROPE, 15526 is coded as APPLE, then how is 54613
O
M I
coded?
S
IS
D
(A) RPPEO
(B) ROPEA
M
A D
(C) POEAR
(D) PAREO
A
N
109. O
If in a certain language MYSTIFY is coded as NZTUJGZ, how is NEMESIS coded in
that language? M
M
(A)
(B)
MDLHRDR
OFNFTJT C O
(C) FONFTJT
AT
(D) OFNFTTJ
S
CU

019
2
110. T
If SHARP is coded as 58034 and PUSH as 4658 then, RUSH is coded as
S
E
(A) 3568 T
(B) 3658 N
O
(C) 3685
SI
IS
(D) 3583
M
111. If the wordA D
M
'TABLECLOTH' is coded as 'XEMRANRIXT', how can 'HOTEL' be coded?

(A) O
N
RIXAT
(B)M TIXAR

A T
O
M
(C) TAXIR
C (D) RAXIT O
S 112. If TAP is coded as SZO, then how is FREEZE coded?
CU (A)

AT
EQDFYG
N 19
S IO
(B) ESDFYF
(C) GQFDYF
2 0
U
(D) EQDDYD

113.

C IS
(A)
S
BREAD N
T E ST
If SWITCH is written as TVJSDG, which word would be written as CQFZE?

O
M I
(B) BARED
(C) BRADE S
IS
D
(D) BRAED

M
114.
A
(A) 14 O
N
A
D
A party consists of grandmother, father, mother, four sons and their wives and one son
and two daughters to each of the sons. How many females are there in all?

(B) 16 M
(C) 18 M
(D) 24
C O
115. AT
What is once in TEA and twice in COFFEE but not in MILK?
S
(A) Sugar
CU

(B) Flavour

19
(C) The letter E
(D) Water
20
S T
E
116. Arrange in order
T
(1) Animal N(2) Biology (3) Science (4) Lion (5) Zoology
O
SI
(A) 3,2,5,1,4
(B) 3,5,2,1,4 I
S
M
D
(C) 3,1,2,5,4
A
(D) 3,1,4,5,2
M
N
O
M
O
117. Arrange in Order
M

SA T
O
C (1) Communit
y
(2) Locality (3) Family (4) Country (5) Person

CU
T
(A) 4,1,2,3,5

A N
(B) 4,2,1,3,5
(C) 5,3,2,1,4
19
S IO 0
(D) 5,3,1,4,2
2
118.
U S ST
Rajat correctly remembers that his mother's birthday is not after 18th of June. His sister

C IS E
correctly remembers that their mother's birthday is before 20th June but after 17th June.
T
On which day in June was definitely their mothers birthday?
N
O
M
(A) 17th
(B) 19th
S I
IS
D
(C) 18th
(D) 17th or 18th
M
119.
A A
D
Direction: Choose the pair that best represents a similar relationship to the one expressed
N
in the original pair of words.
O
M
Melt : Liquid : : Freeze : ?
M
(A)
(B)
Ice
Condense
C O
(C)
(D)
Solid
Crystal
AT
S
CU

019
2
S T
E
120. T
Direction : Choose the pair that best represents a similar relationship to the one
N
expressed in the original pair of words
O
SI Reading : Knowledge : : Work : ?
IS
M
M
(A) Experience
D
(B) A
Engagement

(C) N
Employment
(D) O
Experiment
M

S
121.

AT
M
CODirection O
: Choose the pair that best represents a similar relationship to the one
expressed in the original pair of words

CU
T
Moon : Satellite : : Earth : ?

(A)

A
Sun
N 19
S IO
(B) Planet
(C) Solar system
2 0
U
(D) Asteroid

C IS S T E ST
Read the following information and answer the question given below:

N
L and N are good in English and History, O and L are good in History and Civics, N and
O
M I
M are good in Economics and English. O, M and P are good in Civics and Economics. P
S
and O are good in Civics and Mathematics.
IS
D M
A D
122. Who is good in Civics, Economics, History and Mathematics?
A
(A) O
N
(B)
(C)
M
N O
(D) L M
M
O
C and English?
123. Who is good in Civics, Economics

(A) L AT
(B) O S
(C) N
C U

(D) M

019
2
S T
E
T
N
O
SI
IS
M
A
D
M
N
O
M

SAT
CO
M
O
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

124. Who is good in Civics, English and History?

(A) O 019
(B) M 2
(C) N
S T
E
(D) L
T
N
O
125. I
Who is good in History, Economics and English?
S
(A) N IS
M
D
M
(B) M
(C) L A

(D) ON
O
M

SA
M
CO (A) P
T (B) M O
126. Who is good in Civics, Economics, Mathematics, but not in History?

CU
T
(C) N

N
(D) L

A
S IO
19
Read the following information and answer the question given below:
2 0
U
Five cities all got more rain than usual this year. The five cities are: Aurangabad,

S T E
T
Ahmednagar, Pune, Mumbai and Nagpur. The cities are located in five different areas of the

C IS
S
country: the mountains, the forest, the coast, the desert, and in a valley. The rainfall amounts
were: 24 inches, 54 inches, 64 inches, 88 inches and 130 inches.

N
O
The city in the desert got the least rain; the city in the forest got the most rain.

M I
Pune is in the mountains.
S
Aurangabad got more rain than Mumbai.
IS
D
Ahmednagar got more rain than Nagpur, but less rain than Pune.

M
Mumbai got 88 inches of rain.

A D
The city in the mountains got 64 inches of rain; the city on the coast got 54 inches of rain.

127. A
Which city is in the desert?
N
(A) O
Aurangabad
(B) Ahmednagar
M
(C) Pune
M
(D) Nagpur
C O
AT
S
CU

128. Which city got the most rain?

(A) Aurangabad 019
(B) Ahmednagar 2
(C) Pune
S T
E
(D) Mumbai
T
N
O
129. I
How much rain did Ahmednagar get?
S
(A) 24 inches I
S
(B) 54 inchesM
A
D
(C) 64 inches
M
(D) 88Ninches
O
M
130. Where

SA
T
O
O
M is Mumbai located?
C (A) In the mountains
C T
(B) In the coast E
CU
T
(C) In a valley

N
(D) In the desert

A
S IO 2 0 19
Read the following information and answer the question given below:

U
C IS S E
(ii) E is the neighbor of A and D
T
(iii) G is not between F and C
T
(i) A, B, C, D, E, F, and G are sitting along a circle facing at the center and are playing cards
S
N
(iv) F is on the immediate right of A

O
131.

M I
Who are the neighbours of B?

IS
S
D
(A) C and D
(B) F and C
M
A D
(C) A and F
(D) A
Data inadequate
N
O
132.
M
Which pair given below has the second person sitting immediatley to the right of the
first?
M
(A) CB
C O
(B) DG
(C) EA
AT
(D) AB
S
CU

133. Which of the following has the persons sitting adjacent to each other left to right in order
as given?
019
(A) CDG 2
(B) EDG
S T
E
(C) BGC
(D) FBC T
N
O
134. What is the positionSof
M
I
SIF?
(A) To theD
(B) To the
M
immediate left of A
A immediate right of B

(C) 2 Nto immediate left of C
nd

(D) O
M None of the above

SA
T
CO
M
O
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

135. Which of the following does not have the pair sitting adjacent to each other?

(A) BA 019
(B) CB 2
(C) DE
S T
E
(D) GD
T
N
O
I
Directions: In the following diagram, the triangle represents educated youth. The small circle
S
IS
represents the youth from backward classes. The large circle represents employed youth.

M
A
D
M
N
O
M

A T
CO
S 136.
M
O
CU
(A) 36

AT
How many youths uneducated are from backward classes?

N 19
S IO 0
(B) 28
(C) 6
2
U S
(D) 44

ST
137.
C IS T E
How many educated youths are employed?

(A) 36
O
N
(B)
(C)
M
40
30
IS
S I
D
(D) 18
M
138.
A A
D
How many educated youths are from backward classes?

(A) 56
O
N
(B)
(C)
28
12 M
(D) 18 M
C O
AT
S
CU

139. How many uneducated youths from backward classes are employed?

(A) 14 019
(B) 22 2
(C) 28
S T
E
(D) 10
T
N
O
140. I
How many youths are unemployed?
S
(A) 72 IS
M
D
M
(B) 38
(C) 50 A

(D) N
52
O
M

SA
M
CO (A) 24
T (B) 32 O
141. How many youths are employed?

CU
T
(C) 20

N
(D) 42

A
S IO 2 0 19
Direction: Each problem consists of three statements. Based on the first two statements,

U S
the third statement may be true, false, or uncertain.

ST
C IS E
142. Tanya is older than Eric.
Cliff is older than Tanya.
T
Eric is older than Cliff.
N
O
M I
If the first two statements are true, the third statement is
S
IS
D
(A) true
(B) false
M
A
(C) uncertain
(D) D
None of the above
A
N
143. O
All the trees in the park are flowering trees.
M
Some of the trees in the park are dogwoods.
M
All dogwoods in the park are flowering trees.
O
If the first two statements are true, the third statement is
C
(A) true
AT
(B) false
S
(C)
(D)
uncertain
CU
None of the above

019
Direction : In each question below are given two statements followed by two conclusions
2
numbered I and II. You have to take the given two statements to be true even if they seem to be at
T
variance from commonly known facts. Read the conclusion and then decide which of the given
S
E
conclusions logically follows from the two given statements, disregarding commonly known
facts. T
N
O
144. I
Statements: All bags are cakes. All lamps are cakes.
S
Conclusions:
IS
M
M
I. Some lamps are bags.
D
II. NoA
lamp is bag.

N
O
M Only conclusion I follows
O
(A)
M
E
(B) Only conclusion II follows
CO (C)
C T
Either I or II follows

AT (D) Neither I nor II follows
S
CU 145.
AT
Conclusions:
N
Statements: All mangoes are golden in colour. No golden coloured things are cheap.

19
I.

S IO
All mangoes are cheap.
2 0
U S
II. Golden coloured mangoes are not cheap.

ST
(A)
(B)
(C)C IS T E
Only conclusion I follows
Only conclusion II follows
N
Either I or II follows
O
M I
(D) Neither I nor II follows
S
IS
D M
A O
N
A
D

M
M
C O
AT
S
CU

Direction: Choose which of the following diagram represents relationship among the
given elements in a much logical way
019
2
S T
E
T
N
O
SI
IS
M
M
146. Flowers, Clothes, White
D
(A) a A

(B) b N
(C) Oc
M
M
O
(D) d

SA
CO
T Tennis fan, Cricket Players, Students
147.

CU
(A)
(B)
(C)
a
b
c
AT N 19
S IO 0
(D) d
2
148.
U S
Rhombus, Quadrilateral, Polygon

(A)
C IS
a
T E ST
(B) b
N
(C) c
O
(D)

M
d

IS
S I
D M
Directions: In the following question, one statement is followed by two possible implications.

A D
Study them and mark one of the following answer choices
A
149. Statement:
N
O
Ignorance of law is no excuse.
1. One should not be ignorant of law.
2. Man tries to find an excuse.M
M
(A) Statement 1 is implied
(B) Statement 2 is implied C
O
(D) Both the statementsA
T
(C) Both the statements are implied

S are not implied
CU

150.

19
Directions: In the following question, one statement is followed by two possible implications.
0
Study them and mark one of the following answer choices
2
Statement: T
By giving up smoking the incidence of lung cancer can be reduced.
S
E
1. The incidence of lung cancer is very high.
2. T
Smoking causes lung cancer.
N
O
(A) I
Statement 1 is implied
S
IS
(B) Statement 2 is implied
(C) Both the statements are implied
M
D
M
(D) Both the statements are not implied
A

N
O
M

SAT
CO
M
O
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

MCA -9ANSWER KEY
1
20 CODE: 501
TEST
QN. NO. KEY QN. NO. KEY QN. NO. T KEY QN. NO. KEY QN. NO. KEY
E S

1 B 26 C 51 T C 76 A 101 B
2 D 27 D N
O52 C 77 C 102 C

3 A 28 D I
S 53 B 78 D 103 B
4 B 29 C IS 54 C 79 A 104 A
M
5 B 30 A AD 55
M B 80 B 105 C

6 A 31 CN 56 B 81 D 106 D
O
7 B 32 MA 57 C 82 C 107 B
8
9
10
B
B
B
33
34 T
S
35A
CO
M D
B
A
O
C TE
58
59
60
D
A
A
83
84
85
D
C
D
108
109
110
C
B
B
11
12
A
A
CU36
37
C
C
AT N
61
62
A
D
86
87
19
C
D
111
112
B
D
13 D 38 B
S I O 63 D 88
2 0 C 113 A

U S
14 A 39 A 64 D 89 D 114 A
15 C 40 C 65 C ST 90 D 115 C
16
17
C
C
41
42 C IS
A
B
66
67
C
B
O
N
T E 91
92
B
C
116
117
A
C
18 C 43
M
C 68
IS
S IB 93 C 118 C

D
19 D 44 A 69 A 94 B 119 C
20 B 45 C 70 M A 95 B 120 A
21
22
23
D
A
D
46
47
48
A C
D
B O
N
A
71
72
73
D B
D
A
96
97
98
A
D
B
121
122
123
B
A
D
M
24 C 49 C 74
M B 99 A 124 D

CO
25 B 50 A 75 C 100 B 125 A

AT
S
CU

019
2
QN. NO. KEY
S T
TE
126 A
127 D N
O
128 A SI
129 B IS
M
130 C A
D
M
131 B N
O
132 C M
133
134
135
D
D
A SA
T
CO
M
O
C TE
136
137
D
D
CU
AT N 19
138 B
S I O 2 0
U S
139 D
140 A ST
141
142
D
B C IS O
N
T E
143 A
M IS
S I
D
144 C
145 B M
146
147
148
A
B
C
A O
N
A
D

M
149 D
M
CO
150 B

AT
S
CU