# CBSE UGC NET JULY 10 2016 PAPER 2 SOLVED WITH EXPLANATION PART-1

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1. How many different equivalence relations with exactly three different equivalence classes are there on a set with five elements?

1.  10                  2. 15                 3. 25              4. 30

Explanation:

2. the number of different spanning trees in complete graph k4 and bipartite graph k2,2 have ………………. and …………. respectively.

1. 14,14
2.  16,14
3. 16,4
4. 14,4

Explanation:

3.  suppose that R1 and R2  are reflexive realtions on a set A.

which of the following statements is correct?

1.  R1 intersection R2 is reflexive and R1 union R2 is irreflexive.
2.  R1 intersection R2 is irreflexive and R1 union R2 is reflexive.
3. both R1 intersection R2  and R1 union R2 is reflexive.
4. both R1 intersection R2  and R1 union R2 is irreflexive.

Explanation:

4. there are three cards in a box. both sides of one card are black, both sides of one card are red, and 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 opposite side is the same colour as the one side we observed?

1. 3/4
2. 2/3
3. 1/2
4. 1/3

Explanation:

3 cards Black Black  Red Red  Black Red

Black Black Red Red wil have same color on both sides

so favorable  cases =2  total cases =3

5. A clique in a simple graph undirected  graph is a complete subgraph that is not a contained in any larger complete subgraph, how many cliques are there in the graph shown below:

1. 2
2. 4
3. 5
4. 6

Explanation:

6. which of the following logic expression is in correct?

1. 1 xor 0=1
2. 1 xor 1 xor 1=1
3. 1 xor 1 xor 0 =1
4. 1 xor 1= 0

Explanation:

7. the ieee-754 double precision format to represent floating point numbers, has a length of …………. bits.

1. 16
2. 32
3. 48
4. 64

Explanation:

8. simplified boolean equation for the following truth table:

x y z f

0000

0011

0100

0111

1001

1010

1101

1110

1. f= yz’ + y’z
2. f=xy’+x’y
3. f=x’z+xz’
4. f=x’z+xz’+xyz

Explanation:

9. the simplified form of a boolean equation (ab’+ab’c+ac)(a’c’+b’) is :

1. ab’
2. ab’c
3. a’b
4. abc

Explanation:

10. In a positive edge triggered JK flipflop, if j and  both are high then the output will be….. on the rising edge of the clock.

1. no change
2. set
3. reset
4. toggle