Multiple Choice Questions On Discrete Structure - Set 4

Following are the multiple choice questions on Discrete Structure based on the UGC - NET Exam syllabus  along with the Explanation. Multiple Choice Questions On Discrete Mathematics. 


1) Let A and B be any two arbitrary events then which one of the following is true ?

1. P( A intersection B) = P(A). P(B)
2. P(A union B) = P(A) + P(B)
3. P(AB) = P(A intersection B). P(B)
4. P(A union B) >= P(A) + P(B)

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Answer = D 

2) If X and Y be the sets. Then the set ( X - Y) union (Y- X) union (X intersection Y ) is equal to?

1. X union Y
2. X^c union Y^c
3. X intersection Y
4. X^c intersection Y^c

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Answer = A 

3) If G is an undirected planer graph on n vertices with e edges then ?

1. e<=n
2. e<=2n
3. e<=3n
4. None of these

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Answer = B 

4) Which of the following statement is false ?

1. G is connected and is circuitless
2. G is connected and has n edges
3. G is minimally connected graph
4. G is circuitless and has n-1 edges

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Answer = B 

5) Probability that two randomly selected cards from a set of two red and two black cards are of same color is ?

1. 1 / 2
2. 1 / 3
3. 2 / 3
4. None of these

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Answer = B 

6) The number of circuits that can be created by adding an edge between any two vertices in a tree is ?

1. Two
2. Exactly one
3. At least two
4. None

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Answer = B 

7) In a tree between every pair of vertices there is ?

1. Exactly one path
2. A self loop
3. Two circuits
4. n number of paths

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Answer = A 

8) The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to guarantee that three cards are from some same suit is ?

1. 8
2. 3
3. 9
4. 12

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Answer = C 

9) Context free languages are closed under ?

1. union, intersection
2. Intersection , complement
3. union , kleene star
4. Complement , kleene star

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Answer = C 

10) Let R be a symmetric and transitive relation on a set A. Then ?

1. R is reflexive and hence a partial order
2. R is reflexive and hence an equivalence relation
3. R is not reflexive and hence not an equivalence relation
4. None of above

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Answer = D 

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