1. how many different equivalence relation with exactly three different equivalence classes are there on a set with five elements?
(1) 10
(2) 15
(3) 25
(4) 30
Answer : 3
2. The number of different spanning tree in complete graph, K4 and bipartite graph, K2,2, Have ______ and _______ respectively.
(1) 14,14
(2) 16,14
(3) 16,4
(4) 14,4
Answer : 3
3. Suppose that R1 and R2 are reflexive relations on a set A.
Which of the following statement is correct?
(1) R1 ∩ R2 is reflexive and R1 ∩ R2 is irreflexive
(2) is irreflexive and R1 ∩ R2 is reflexive
(3) Both R1 ∩ R2 and R1 ∩ R2 are reflexive
(4) Both R1 ∩ R2 and R1 ∩ R2 are irreflexive
Answer : 3
4. There are three card 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 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 color as the one side we observe?
(1)3/4
(2) 2/3
(3) ½
(4) 1/3
Answer : 2
5. A Clique in a simple undirected graph is a complete subgraph that is not contained in any larger complete subgraph. How many clique are there in the graph shown below?
(1) 2
(2) 4
(3) 5
(4) 6
Answer : 3
6. Which of the following logic expressions is incorrect?
(1) 1 Θ 0=1
(2) 1 Θ 1 Θ 1=1
(3) 1 Θ 1 Θ 0=1
(4) 1 Θ 1=0
Answer : 3
7. The IEEE-754 double precision format to represent floating point number, has a length of _____ bits
(1) 16
(2) 32
(3) 48
(4) 64
Answer : 4
8. Simplified Boolean equation for the following truth table is
(1) F=xy’+y’z
(2) F=xy’+x’y
(3) F=x’y+xz’
(4) F=x’z+xz’+xyz
Answer : 3
9. The simplified form of Boolean equation (AB’+AB’C+AC)(A’C’+B’) is :
(1) AB’
(2) AB’C
(3) A’B
(4) ABC
Answer : 1
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.
(1) No change
(2) Set
(3) Reset
(4) Toggle
Answer : 4
(1) 10
(2) 15
(3) 25
(4) 30
Answer : 3
2. The number of different spanning tree in complete graph, K4 and bipartite graph, K2,2, Have ______ and _______ respectively.
(1) 14,14
(2) 16,14
(3) 16,4
(4) 14,4
Answer : 3
3. Suppose that R1 and R2 are reflexive relations on a set A.
Which of the following statement is correct?
(1) R1 ∩ R2 is reflexive and R1 ∩ R2 is irreflexive
(2) is irreflexive and R1 ∩ R2 is reflexive
(3) Both R1 ∩ R2 and R1 ∩ R2 are reflexive
(4) Both R1 ∩ R2 and R1 ∩ R2 are irreflexive
Answer : 3
4. There are three card 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 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 color as the one side we observe?
(1)3/4
(2) 2/3
(3) ½
(4) 1/3
Answer : 2
5. A Clique in a simple undirected graph is a complete subgraph that is not contained in any larger complete subgraph. How many clique are there in the graph shown below?
(1) 2
(2) 4
(3) 5
(4) 6
Answer : 3
6. Which of the following logic expressions is incorrect?
(1) 1 Θ 0=1
(2) 1 Θ 1 Θ 1=1
(3) 1 Θ 1 Θ 0=1
(4) 1 Θ 1=0
Answer : 3
7. The IEEE-754 double precision format to represent floating point number, has a length of _____ bits
(1) 16
(2) 32
(3) 48
(4) 64
Answer : 4
8. Simplified Boolean equation for the following truth table is
(1) F=xy’+y’z
(2) F=xy’+x’y
(3) F=x’y+xz’
(4) F=x’z+xz’+xyz
Answer : 3
9. The simplified form of Boolean equation (AB’+AB’C+AC)(A’C’+B’) is :
(1) AB’
(2) AB’C
(3) A’B
(4) ABC
Answer : 1
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.
(1) No change
(2) Set
(3) Reset
(4) Toggle
Answer : 4
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