Discrete Structure (DS) MCQs with answers Page - 3

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Q. ……… is an unordered collection of elements where an element can occur as a member more than once

  • (A) Multiset
  • (B) ordered set
  • (C) set
  • (D) None

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Q. In a room containing 28 females, there are 18 females who speak English, 15 females speak french and 22 speak german. 9 females speak both english and french, 11 females speak both french and german where as 13 speak both german and english. How many females speak all 3 languages?

  • (A) 9
  • (B) 8
  • (C) 7
  • (D) 6

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Q. If U = {1, 2, 3, . . . 20 } and S = set of prime numbers , then S =

  • (A) { 3, 5, 7, 11, 13, 17 }
  • (B) { 2, 3, 5, 7, 11, 13, 17, 19 }
  • (C) {1, 3, 5, 7, 9, 11, 13, 15, 17, 19 }
  • (D) {1, 2, 3, 5, 7, 11, 13, 17 }

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Q. Consider the statement,“If n is divisible by 30 then n is divisible by 2 and by 3 and by 5.”Which of the following statements is equivalent to this statement?

  • (A) If n is not divisible by 30 then n is divisible by 2 or divisible by 3 or divisible by 5
  • (B) If n is not divisible by 30 then n is not divisible by 2 or not divisible by 3 or not divisible by 5
  • (C) If n is divisible by 2 and divisible by 3 and divisible by 5 then n is divisible by 30.
  • (D) If n is not divisible by 2 or not divisible by 3 or not divisible by 5 then n is not divisible by 30

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Q. In a class of 80 students , 50 students know English, 55 know french and 46 know german language. 37 students know english and french, 28 students know french and german, 7 students know none of the languages. Find out how many students know all the three languages?

  • (A) 73
  • (B) 72
  • (C) 50
  • (D) 54

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Q. In above q.80 how many students exactly know 2 languages?

  • (A) 52
  • (B) 54
  • (C) 60
  • (D) 25

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Q. A preposition is a statement that is either ture or false

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

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Q. A prepostition that is true under all circumstances is referred to as a ….

  • (A) Tautology
  • (B) Contradiction
  • (C) Negation
  • (D) Sentence

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Q. A prepostition that is false under all circumstances is referred to as a ….

  • (A) Tautology
  • (B) Contradiction
  • (C) Negation
  • (D) Sentence

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