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Roll No:
Application No:
Name:
Exam Date: 05-Oct-2020
Exam Time: 09:00-12:00
Examination: 1. Course Code - M.A./M.Sc./M.C.A.
2. Field of Study - MASTER OF COMPUTER
APPLICATIONS (MCAM)
SECTION 1 - SECTION 1

Question No.1 (Question Id - 98)
(A)
265
(B)
(C)
297
(D)
None of the above
Question No.2 (Question Id - 6)
What is the volume of a cube ?
Statement I:
The area of each face of the cube is 64 square metres.
Statement II:
The length of one side of the cube is 8 metres.
(A)
Statement (I) alone is sufficient to answer the question.
(B)
Statement (II) alone is sufficient to answer the question.
(C)
Statement (I) or Statement (II) alone is sufficient. (Correct Answer)
(D)
Statement (I) and (II) together are necessary to answer the question.
Question No.3 (Question Id - 26)
What is/are true from the list given below ?
A. Radix of any number system is the number of digits required to represent all numerical values in
that system.
B. Base of any number system is the number of digits required to represent all numerical values in
that system.
C. Radix is the exponent value of a number in any number system.
D. Base is the exponent value of a number in any number system.
Choose the correct answer from the options given below.
(A)
A and B only (Correct Answer)
(B)
A and D only
(C)
B and C only
(D)
All A, B, C, D
Question No.4 (Question Id - 52)

(A)
1
(B)
(C)
0
(D)
(Chosen option)
Question No.5 (Question Id - 95)
(A)
A and C only (Correct Answer)
(B)
A and D only
(C)
B and C only
(D)
B and D only
Question No.6 (Question Id - 97)
(A)
A and B only (Correct Answer)
(B)
A and C only
(C)
B and D only
(D)
C and D only
Question No.7 (Question Id - 25)
What is the Excess-3 code for (45)10 ?
(A)
0111 0101
(B)
(C)
0111 1010
(D)
0111 1001
Question No.8 (Question Id - 49)
If 2nC3 : nC2 = 11 : 1, what is the value of n ?
(A)
4
(B)
5
(C)
6
(D)
None of the above (Correct Answer)

Question No.9 (Question Id - 78)
(A)
A and B only
(B)
A, B and D only (Correct Answer)
(C)
D and C only
(D)
D and E only
Question No.10 (Question Id - 55)
(A)
Zero
(B)
(C)
(D)
Question No.11 (Question Id - 75)
If (G, *) is a cyclic group of order 73, then the number of generator of G is equal to :
(A)
89
(B)
23
(C)
(D)
17
Question No.12 (Question Id - 58)
(A)
= E-1
(B)
= E + I
(C)
2u4 = u4 - 2u3 - u2
(D)
Question No.13 (Question Id - 1)
(A)

(B)
(C)
(D)
Question No.14 (Question Id - 33)
Consider a graph where
V(G) = {P, Q, R, S}
and E(G) = {(P, Q), (Q, R), (R, S), (S, Q)}
The degree of each vertices P, Q, R, S respectively in G are as follows :
(A)
1, 1, 1, 1
(B)
1, 3, 2, 2 (Correct Answer)
(C)
1, 2, 2, 3
(D)
1, 2, 3, 2
Question No.15 (Question Id - 93)
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is correct, but Statement II is false. (Correct Answer)
(D)
Statement I is incorrect, but Statement II is true.
Question No.16 (Question Id - 69)
(A)
(B)
(C)
(D)
Question No.17 (Question Id - 5)
Find the odd man out.
3, 5, 7, 12, 17, 19
(A)
19
(B)
17
(C)
7
(D)
Question No.18 (Question Id - 94)
Given below are two Statements.

Statement I:
Let n be a positive integer greater than 3. Then, (n3 - 8) can never be a prime number.
Statement II:
Let n be a positive integer. Then, (2n + 1)2 - (2n - 1)2 will be always divisible by 8.
In the light of the above statements, choose the most appropriate answer from the options given
below.
(A)
Both Statement I and Statement II are correct (Correct Answer)
(B)
Both Statement I and Statement II are incorrect
(C)
Statement I is correct, but Statement II is incorrect.
(D)
Statement I is incorrect, but Statement II is correct.
Question No.19 (Question Id - 46)
(A)
(a + b)*(a + b)
(B)
(a + b)* a (Correct Answer)
(C)
(a + b)*
(D)
a*b
Question No.20 (Question Id - 53)
(A)
(B)
(C)
(D)
(Chosen option)
Question No.21 (Question Id - 60)
(A)
mean = 2 and variance = 4
(B)
(Chosen option)
(C)
mean = 4 and variance = 2
(D)
mean = 4 and variance = 8 (Correct Answer)
Question No.22 (Question Id - 79)
(A)
(B)

(C)
(D)
Question No.23 (Question Id - 18)
MK : 1311 : : HJ : ?
(A)
911
(B)
1011
(C)
(D)
710
Question No.24 (Question Id - 85)
(A)
A3 - 3A2 + 6A - 4I = 0
(B)
2A3 - 2A2 + 4I = 0
(C)
A3 - A2 + A + I = 0
(D)
Question No.25 (Question Id - 67)
If the points (-1,-1, 2), (2, m, 5) and (3, 11, 6) are collinear, then the value of m is :
(A)
5
(B)
3
(C)
4
(D)
Question No.26 (Question Id - 11)
A, B and C can paint a wall in 22 days. If A takes 99 days and B takes 36 days to paint the wall, how
many days will C take to paint it alone ?
(A)
66
(B)
72
(C)
(D)
None of these
Question No.27 (Question Id - 72)
Let G be a group with 8 elements. Let H be a subgroup of G. It is given that the size of H is at least 3.
Then, the size of H will be :
(A)
8
(B)
2
(C)
3
(D)
Question No.28 (Question Id - 84)
(A)
0, 0, 0
(B)
0, 0, 1
(C)
0, 0, 2
(D)

Question No.29 (Question Id - 32)
If interrupt occurs during the execution of a program, then it :
(A)
follows the next instruction in the program
(B)
jumps to instruction in other registers
(C)
breaks the normal sequence of execution of instructions (Correct Answer)
(D)
stops executing the program
Question No.30 (Question Id - 43)
Consider the following `C' declaration.
struct {
short s[5];
union {
float y;
long z;
} n;
} t;
Assume that objects of type short, float and long occupy 2 bytes, 4 bytes and 8 bytes respectively.
What will be the memory requirement for variable, ignoring alignment consideration ?
(A)
22 Bytes
(B)
14 Bytes
(C)
(D)
10 Bytes
Question No.31 (Question Id - 50)
If nCr-1 = 36, nCr = 84 and nCr+1 = 136, what will be the value of n ?
(A)
3
(B)
5
(C)
7
(D)
Question No.32 (Question Id - 70)
(A)
(B)
(C)
(Chosen option)
(D)
Question No.33 (Question Id - 87)

(A)
Both Statement I and Statement II are true. (Correct Answer)
(B)
Both Statement I and Statement II are false.
(C)
Statement I is correct, but Statement II is false.
(D)
Statement I is incorrect, but Statement II is true.
Question No.34 (Question Id - 80)
The minimum value of 2sin2 + 3cos2 is :
(A)
0
(B)
3
(C)
(D)
1
Question No.35 (Question Id - 47)
(A)
(B)
{q0, q1, q2}
(C)
{q1, q2, q3}
(D)
{q1, q2, q4}
Question No.36 (Question Id - 22)
An OR gate has 6 inputs. What is the only input word that produces a 0 output ?
(A)
(B)
000111
(C)
111000
(D)
111111
Question No.37 (Question Id - 82)
(A)
(Chosen option)
(B)
0
(C)
(D)

Question No.38 (Question Id - 57)
The Newton divided difference polynomial which interpolate the data
f(0) = 1, f(1) = 3, f(3) = 55 is :
(A)
8x2 + 6x + 1
(B)
8x2 - 6x + 1 (Correct Answer)
(C)
8x2 - 6x - 1
(D)
8x2 + 6x - 1
Question No.39 (Question Id - 83)
(A)
(B)
(C)
(D)
Question No.40 (Question Id - 38)
The height of binary tree is the maximum number of edges in any root to leaf path. The maximum
number of nodes in a binary tree of height h is :
(A)
2h
(B)
2h-1 - 1
(C)
(D)
2h+1
Question No.41 (Question Id - 2)
Three wheels can complete respectively 60, 36, 24 revolutions per minute. There is a white spot on
each wheel that touches the ground at time zero. After how much time, all these spots will
simultaneously touch the ground again ?
(A)
(B)
10
(C)
7
(D)
6
Question No.42 (Question Id - 48)
Given a complete graph of `n' vertices, how many Hamiltonian circuits are possible ?
(A)
n!
(B)
(C)
n2
(D)
nn
Question No.43 (Question Id - 51)
(A)
(Chosen option)

(B)
(C)
(D)
Question No.44 (Question Id - 91)
The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, passing
through the points (- 3, 1) and (2, - 2) is given by :
(A)
5x2 + 3y2 = 32
(B)
3x2 + 5y2 = 32 (Correct Answer)
(C)
5x2 - 3y2 = 32
(D)
3x2 + 5y2 = - 32
Question No.45 (Question Id - 35)
(A)
(a-b), (d-f), (b-f), (d-c), (d-e)
(B)
(a-b), (d-f), (d-c), (b-f), (d-e)
(C)
(d-f), (a-b), (d-c), (b-f), (d-e)
(D)
(d-f), (a-b), (b-f), (d-e), (d-c) (Correct Answer)
Question No.46 (Question Id - 4)
Find the area of the qadrilateral ABOC, given that the diameter of the circle is 20 cm and AB = 18cm
(A)
185
(B)
(C)
179
(D)
178
Question No.47 (Question Id - 16)
Which of the following is always odd ?
(A)
Sum of two odd numbers
(B)
Difference of two odd numbers
(C)
Product of two odd numbers (Correct Answer)
(D)
None of these
Question No.48 (Question Id - 64)

(A)
(B)
(Chosen option)
(C)
(D)
Question No.49 (Question Id - 28)
Which kind of multiplexing scheme is adopted by Von-Newmann Architecture especially for program
and data fetching purposes ?
(A)
(B)
Frequency Division Multiplexing
(C)
Statistical Time Division Multiplexing
(D)
Code Division Multiplexing
Question No.50 (Question Id - 34)
The result of evaluating the postfix expression
5 4 6 + * 4 9 3 1 + *
(A)
600
(B)
(C)
650
(D)
588
Question No.51 (Question Id - 24)
The functional capacity for SSI devices is :
(A)
1 to 11 gates (Correct Answer)
(B)
12 to 99 gates
(C)
100 to 10000 gates
(D)
More than 10000 gates
Question No.52 (Question Id - 12)
Statements : All trains are not planes.
All planes are cars.
Conclusions : (A) Some cars are not trains.
(B) Some trains are cars.
Choose the correct answer from the options given below.
(A)
(B)
(B) only
(C)
(A) and (B) only
(D)
(A) or (B) only
Question No.53 (Question Id - 71)
(A)
(B)
(C)

(D)
Question No.54 (Question Id - 100)
(A)
x < - 7 or x > 4 (Correct Answer)
(B)
x > - 7 or x < 4
(C)
x < - 3 or x > 4
(D)
x > - 3 or x < 4
Question No.55 (Question Id - 14)
Let Xk = (P1 P2 .... Pk) + 1, where P1, P2, ...., Pk are the first k primes.
Consider the following :
A. Xk is a prime number
B. Xk is a composite number
C. Xk+1 is always an even number
Choose the correct answer from the options given below.
(A)
A only
(B)
B only
(C)
C only
(D)
A and C only (Correct Answer)
Question No.56 (Question Id - 3)
The base of the triangle is increased by 40%. What can be the maximum percentage increase in the
length of the height so that the increase in area is restricted to a maximum of 60% ?
(A)
14.95%
(B)
14.98%
(C)
(D)
14.45%
Question No.57 (Question Id - 88)
A point moves such that its distance from the point (4, 0) is half that of its distance from the line x =
16. The locus of the point is :
(A)
3x2 + 4y2 = 192 (Correct Answer)
(B)
4x2 + 3y2 = 192
(C)
x2 + y2 = 192
(D)
None of these
Question No.58 (Question Id - 65)
(A)
(B)
(C)

(D)
Question No.59 (Question Id - 17)
The perimeter of a rectangular field is 480 metres and the ratio between the length and the breadth is
5 : 3. The area is :
(A)
1350 sq.m.
(B)
1550 sq.m.
(C)
(D)
15500 sq.m.
Question No.60 (Question Id - 81)
(A)
(B)
(C)
(D)
Question No.61 (Question Id - 45)
What will be the maximum number of centre in a Tree ?
(A)
One
(B)
(C)
Three
(D)
Infinite
Question No.62 (Question Id - 19)
Choose the `ODD' man out : UW, DF, GI, LP.
(A)
UW
(B)
DF
(C)
GI
(D)
Question No.63 (Question Id - 36)
If the MAX_SIZE is the size of the array used in the implementation of circular queue, assume array
index start with O, front points towards the first element in the queue, and rear points towards the last
element in the queue. Which of the following condition specify that circular queue is Full ?
(A)
Front = rear = - 1
(B)
Front = (rear + 1)%MAX_SIZE (Correct Answer)
(C)
Rear = front + 1
(D)
Rear = (front + 1)%MAX_SIZE
Question No.64 (Question Id - 9)
YSDG : GDSY : : __________ : IOTU.
(A)
(B)
VUPJ
(C)
TVSJ

(D)
STIO
Question No.65 (Question Id - 30)
(A)
(B)
1
(C)
4
(D)
7
Question No.66 (Question Id - 76)
If G be a group such that a2 = e, aG, then G is :
(A)
(B)
non-abelian group
(C)
ring
(D)
field
Question No.67 (Question Id - 39)
What will be the output of following `C' code ?
main( )
{
int i = 1, j = 2;
switch (i)
{
case i : printf ("GOOD");
break;
case j : printf ("BYE");
break;
}
} (A) GOOD
(B)
GOODBYE
(C)
(D)
Runtime Error
Question No.68 (Question Id - 59)
(A)
(B)
(Chosen option)
(C)
(D)
Question No.69 (Question Id - 56)
Let a quadratic function be defined on [a, b] by f (x) = x2 + x + , 0. Then, the real number `c'
guaranteed by Lagrange's mean value theorem is equal to :
(A)
(B)
(C)

(Chosen option)
(D)
Question No.70 (Question Id - 20)
Find the value of y in y2 - 10y + 24 = 0.
(A)
(B)
4 or 3
(C)
3 or 2
(D)
1 or 5
Question No.71 (Question Id - 37)
(A)
P*R + Q
(B)
P + Q*R
(C)
P + *Q R
(D)
Question No.72 (Question Id - 89)
The equation of the straight line passing through (1, 2) and perpendicular to the line x + y + 7 = 0 is :
(A)
x - y = - 1 (Correct Answer)
(B)
x + y = 1
(C)
x + 2y = 1
(D)
x - 3y = 1
Question No.73 (Question Id - 54)
(A)
(B)
2
(C)
4
(D)
1
Question No.74 (Question Id - 63)
If three unbiased coins are tossed, find the probability of getting (i) at least two tails, and (ii) atmost
two tails.
(A)
(B)
(Chosen option)
(C)
(D)
Question No.75 (Question Id - 27)
A cache has 64 blocks with block size of 16 bytes. A block in main memory having address 1200 has

to be mapped into cache using direct mapping method. What would be the corresponding block
number in cache ?
(A)
(B)
12
(C)
13
(D)
None of the above
Question No.76 (Question Id - 40)
Consider the following `C' declaration.
Struct node {
int i;
float j;
};
struct node *s[10];
Of the following, how to define s ?
(A)
An array, each element of which is a pointer to a structure of type node. (Correct

(B)
A structure of 2 fields, each field being a pointer to an array of 10 elements.
(C)
A structure of 3 fields; an integer, a float and an array of 10 elements.
(D)
An array, each element of which is a structure of type node.
Question No.77 (Question Id - 7)
A man said to a woman, `I am your husband's father-in-law's wife's only son'. How can the woman be
related to the man ?
(A)
Daughter
(B)
Aunt
(C)
Daughter-in-law
(D)
Question No.78 (Question Id - 68)
(A)
1
(B)
-3
(C)
(D)
None of these
Question No.79 (Question Id - 61)
(A)
(B)
(1 - 2t)-2
(C)
(1 - 2t)-3
(D)
Question No.80 (Question Id - 42)
Statement I:
`C' Programming language allows the recursion of a function.
Statement II:
Recursion of main( ) function in `C' language is possible.
In the light of the above statements, choose the correct answer from the options given below.

(A)
Both Statement I and Statement II are true (Correct Answer)
(B)
Both Statement I and Statement II are false
(C)
Statement I is correct, but Statement II is false
(D)
Statement I is incorrect, but Statement II is true
Question No.81 (Question Id - 8)
Find the next term in the series.
1, 2, 6, 15, 31, ?
(A)
49
(B)
52
(C)
(D)
57
Question No.82 (Question Id - 90)
Statement I:
Circle on which the co-ordinates of any point are (2 + 4cos, -1 + 4sin), where is parameter, is
given by
(x - 2)2 + (y + 1)2 = 16.
Statement II:
The equation of the circle which passes through the point (4, 5) and has its centre at (2, 2) is
(x - 2)2 + (y - 2)2 = 11.
In the light of the above statements, choose the correct answer from the options given below.
(A)
Both Statement I and Statement II are true.
(B)
Both Statement I and Statement II are false.
(C)
Statement I is correct, but Statement II is false. (Correct Answer)
(D)
Statement I is incorrect, but Statement II is true.
Question No.83 (Question Id - 15)
The price of 357 mangoes is 1517.25. What will be the approximate price of 49 dozens of such
mangoes ?
(A)
3000
(B)
3500
(C)
4000
(D)
Question No.84 (Question Id - 41)
Consider the following `C' declaration,
int *A [10], B[10][10];
Of the following expression, which will not give compile-time errors if used as left hand sides of
assignment statements ? A. A[2]
B. A[2] [3]
C. B[1]
D. B[2] [3]
Choose the correct answer from the options given below.
(A)
A, B and D only (Correct Answer)
(B)
B, C and D only
(C)
C and D only
(D)
D only

Question No.85 (Question Id - 73)
Given below are two statements.
Statement I:
The order of every element of a finite group is infinite.
Statement II:
If there is no positive integer n such that an = e, then the order of a denoted by O(a), is infinite or zero.
In the light of the above statements, choose the most appropriate answer from the options given
below.
(A)
Both Statement I and Statement II are correct
(B)
Both Statement I and Statement II are incorrect
(C)
Statement I is correct, but Statement II is incorrect
(D)
Statement I is incorrect but Statement II is correct (Correct Answer)
Question No.86 (Question Id - 92)
The equation of the circle having centre (1, - 2) and passing through the point of intersection of the
lines 3x + y = 14 and 2x + 5y = 18 is :
(A)
x2 + y2 - 2x + 4y - 20 = 0 (Correct Answer)
(B)
x2 + y2 - 2x - 4y - 20 = 0
(C)
x2 + y2 + 2x - 4y - 20 = 0
(D)
x2 + y2 + 2x + 4y - 20 = 0
Question No.87 (Question Id - 74)
(A)
10
(B)
(C)
2
(D)
5
Question No.88 (Question Id - 31)
(A)
2
(B)
3
(C)
(D)
5
Question No.89 (Question Id - 21)
(A)
(B)

(C)
(D)
None of the above
Question No.90 (Question Id - 10)
If x6 - y6 = 0, what is the value of x3 - y3 ?
(I) x is positive
(II) y is greater than 1
(A)
(I) only
(B)
(II) only
(C)
(I) and (II) both are necessary (Correct Answer)
(D)
Either (I) or (II)
Question No.91 (Question Id - 86)
(A)
(B)
1
(C)
-1
(D)
None of these
Question No.92 (Question Id - 23)
(A)
A
(B)
(C)
C
(D)
None of the above
Question No.93 (Question Id - 13)
Statements : All the fools are genius.
No genius is a cricketer.
Conclusions : (A) All the geniuses are fools.
(B) Some fools are not cricketers.
(C) No fool is a cricketer.
(D) All cricketers are fools.
Choose the correct answer from the options given below :
(A)
(C) only
(B)
(B), (C), (D) only
(C)
(B) and (C) only (Correct Answer)
(D)
(A) and (D) only
Question No.94 (Question Id - 44)
Consider these `C' code to swap two integers.
void swap (int *x, *y)
{
*x = *x - *y;
*y = *x + *y;
*x = *y - *x;
}
A. Will generate a compilation error.
B. May generate a segmentation fault at runtime depending upon the arguments passed.
C. Correctly implements the swap procedure for all input pointers referring to integers stored in
memory locations accessible to processes.
D. Implements the swap procedure correctly for some but not all valid input pointers.
E. May add or subtract integers and pointers.

Choose the correct answer from the options given below.
(A)
A only
(B)
B and C only (Correct Answer)
(C)
B and D only
(D)
B and E only
Question No.95 (Question Id - 96)
(A)
x ( - , 4) (7, )
(B)
(Chosen option)
(C)
(D)
x ( - , 1) (4, )
Question No.96 (Question Id - 77)
If G = {1, -1, i, -i} is a multiplicative group, then order of (-i) is :
A. 1
B. 2
C. 3
D. 4
E. none of these
Choose the most appropriate answer from the options given below.
(A)
A only
(B)
B, C only
(C)
(D)
E only
Question No.97 (Question Id - 99)
Given below are two Statements.
Statement I:
The interval of values of x for which f(x) = 3x2 - 6x + 2 is decreasing is (- , ).
Statement II:
The interval of values of x for which g(x) = 4x3 + 7x - 2 is increasing is (- , ).
In the light of the above statements, choose the correct answer from the options given below.
(A)
Both Statement I and Statement II are true
(B)
Both Statement I and Statement II are false
(C)
Statement I is correct, but Statement II is false.
(D)
Statement I is incorrect, but Statement II is true. (Correct Answer)
Question No.98 (Question Id - 29)
4 Variable Boolean Function is given as :
F(A, B, C, D) = (2, 3, 4, 5, 6, 7, 11 ,14, 15)
Simplify the above function in POS (Product Of Sum) form by a 4 Variable map.
(A)
(A + C)
(B)
(A + B)

(C)
(A' + C) (B+ C) (A' + B + D) (Correct Answer)
(D)
None of the above
Question No.99 (Question Id - 62)
If X is a Poisson variate such that P(X = 2) = 9P(X = 4) + 90P(X = 6), then the mean of the distribution
is :
(A)
(B)
2
(C)
3
(D)
4
Question No.100 (Question Id - 66)
Given the following frequency distribution of income of employees.
Income /month No. of employees
0 - 250 12
250 - 500 20
500 - 750 23
750 - 1,000 15
1,000 - 1,250 10
1,250 - 1,500 20
The median income of employees is :
(A)
625.00
(B)
760.25
(C)