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- 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
answer is 3
Explanation:
2. the number of different spanning trees in complete graph k4 and bipartite graph k2,2 have ………………. and …………. respectively.
- 14,14
- 16,14
- 16,4
- 14,4
Explanation:
3. suppose that R1 and R2 are reflexive realtions on a set A.
which of the following statements is correct?
- R1 intersection R2 is reflexive and R1 union R2 is irreflexive.
- R1 intersection R2 is irreflexive and R1 union R2 is reflexive.
- both R1 intersection R2 and R1 union R2 is reflexive.
- both R1 intersection R2 and R1 union R2 is irreflexive.
answer is 4
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?
- 3/4
- 2/3
- 1/2
- 1/3
answer is 2
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
answer is 2/3
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:
- 2
- 4
- 5
- 6
answer : marks to all
Explanation:
6. which of the following logic expression is in correct?
- 1 xor 0=1
- 1 xor 1 xor 1=1
- 1 xor 1 xor 0 =1
- 1 xor 1= 0
answer is 3
Explanation:
7. the ieee-754 double precision format to represent floating point numbers, has a length of …………. bits.
- 16
- 32
- 48
- 64
Explanation:
8. simplified boolean equation for the following truth table:
x y z f
0000
0011
0111
1001
1010
1101
1110
- f= yz’ + y’z
- f=xy’+x’y
- f=x’z+xz’
- f=x’z+xz’+xyz
answer is 3
Explanation:
9. the simplified form of a boolean equation (ab’+ab’c+ac)(a’c’+b’) is :
- ab’
- ab’c
- a’b
- abc
answer is 1
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.
- no change
- set
- reset
- toggle
answer is 4
Explanation: