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Solved Questions Paper-2 UGC-NET Computer Science July 2016

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
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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
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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 R1 ∪R2 is irreflexive
B.R1 ∩R2 is irReflexive and R1 ∪R2 is reflexive
C.Both R1 ∩R2 and R1 ∪R2 are reflexive
D.Both R1 ∩R2 and R1 ∪R2 are irreflexive
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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
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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
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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 = 0
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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
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8.The Simplified form of a Boolean equation for the following truth table is
A.F = yz' + y'z
B.F = xy' + x'y
C.F = x'z + xz'
D.F = X'z + xz' + xyz
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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
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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
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Author Does Not claim of any answer these answers are as per expert opinion


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