Discrete Structure (DS) MCQs with answers Page - 18

Here, you will find a collection of MCQ questions on Discrete Structure (DS). Go through these questions to enhance your preparation for upcoming examinations and interviews.

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Q. In above Ex. 196 how many players play exactly 2 of the games?

  • (A) 29
  • (B) 79
  • (C) 19
  • (D) 39

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Q. A theory of sets was firstly introduced by….

  • (A) Tim berners lee
  • (B) Franklin
  • (C) G.Canter
  • (D) c.panther

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Q. the inventor of set defined set as

  • (A) collection od distinct objects
  • (B) collection of memebers
  • (C) simple as collection of objects
  • (D) simply as collection of alphabets

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Q. class, groups , collection are synonyms of the term set.

  • (A) TRUE
  • (B) FALSE
  • (C) both a and b
  • (D) none

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Q. Define f(n) = n/2 + 1−(−1)n/4 for all n 2 Z. Thus, f: Z → Z, Z the set of all integers.Which is correct?

  • (A) f is a function and is onto but not one-to-one.
  • (B) f is a function and is onto and one-to- one.
  • (C) f is a function and is not onto but is one-to-one.
  • (D) f is a function and is not onto and not one-to-one

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Q. If f (x) = cos x and g(x) = x3 , then (f o g) (x) is

  • (A) (cos x)3
  • (B) cos 3 x
  • (C) X (cos x )3
  • (D) cos x3

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Q. Transitivity and irreflexive imply:

  • (A) Symmetric
  • (B) Reflexive
  • (C) Irreflexive
  • (D) Asymmetric

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Q. If R is a relation “Less Than” from A = {1,2,3,4} to B = {1,3,5} then RoR-1 is

  • (A) {(3,3), (3,4), (3,5)}
  • (B) {(3,1), (5,1), (3,2), (5,2), (5,3), (5,4)}
  • (C) {(3,3), (3,5), (5,3), (5,5)}
  • (D) {(1,3), (1,5), (2,3), (2,5), (3,5), (4,5)}

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Q. A relation that is reflexive, anti-symmetric and transitive is a

  • (A) Function
  • (B) equivalence relation
  • (C) partial order
  • (D) None of these

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Q. Let f : X →Y and g : Y → Z. Let h = go f : X → Z. Suppose g is one-to-one and onto. Which of the following is FALSE?

  • (A) If f is one-to-one then h is one-to- one and onto.
  • (B) If f is not onto then h is not onto.
  • (C) If f is not one-to- one then h is not one-to-one.
  • (D) If f is one-to-one then h is one-to- one.

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