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. Xc union Yc
  3. X intersection Y
  4. Xc intersection Yc
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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
Show/Hide Answer
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
Show/Hide Answer
Answer = D 

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