Sunday, 17 July 2016

CBSE UGC NET Computer Science Paper II Solved July 2016 - Part 1

1.       How many different equivalence relations with exactly three different equivalence classes are there on a set with five elements?
(A) 10     (B) 15
(C) 25     (D) 30
Answer: C
2.       The number of different spanning trees in complete graph, K4 and bipartite graph K2,2 have .......... and .....…. respectively.
(A) 14, 14          (B) 16, 14
(C) 16, 4                        (D) 14, 4
Answer: C
3.       Suppose that R1 and R2 are reflexive relations on a set A.
Which of the following statements is correct?
(A) R1∩R2 is reflexive and R1UR2 is irreflexive.
(B) R1∩R2 is irreflexive and R1UR2 is reflexive.
(C) Both R1∩R2 and R1UR2 are reflexive.
(D) Both R1∩R2 and R1UR2 are irreflexive.
Answer: C
4.       There are three cards in a box. Both sides of one card are black, both sides of one card are red, and the third card has one black side and one red side. We pick a card at random and observe only one side.
What is the probability that the opposite side is the same colour as the one side we observed?
(A) 3/4                (B) 2/3
(C) 1/2                (D) 1/3
Answer: B
5.       A clique in a simple undirected graph is a complete subgraph that is not contained in any larger complete subgraph. How many cliques are there in the graph shown below?
(A) 2       (B) 4
(C) 5       (D) 6
Answer: C

6.       Which of the following logic expressions is incorrect?
(A) 1 0 = 1                (B) 1 1 1 = 1
(C) 1 1 0 = 1        (D) 1 1 = 1
Answer: C
7.       The IEEE-754 double-precision format to represent floating point numbers, has a length of ........... bits.
(A) 16                 (B) 32
(C) 48                 (D) 64
Answer: D
8.       Simplified Boolean equation for the following truth table is:
x
y
z
F
0
0
0
0
0
0
1
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
0
(A) F = yz’ + y’z            (B) F = xy’ + x’y
(C) F = x’z + xz’            (D) F = x’z + xz’ + xyz
Answer: C
9.       The simplified form of a Boolean equation (AB’+AB’C+AC)(A’C’+B’) is :
(A) AB’               (B) AB’C
(C) A’B               (D) ABC
Answer: A
10.    In a positive-edge-triggered JK flip-flop, if J and K both are high then the output will be ............. on the rising edge of the clock.
(A) No change             (B) Set
(C) Reset                       (D) Toggle
Answer: D

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