Discrete Structure (DS) MCQs with answers Page - 5

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Q. It was found that in first year of computer science of 80 students 50 know Cobol, 55 know C, 46 know pascal. It was also known that 37 know C and cobol, 28 know C and pascal , 25 know pascal and cobol, 7 students know none of the languages. Find how many all the 3 languages?

  • (A) 10
  • (B) 12
  • (C) 35
  • (D) 9

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Q. In above q.97 How many know exactly 2 languages?

  • (A) 54
  • (B) 16
  • (C) 10
  • (D) 35

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Q. In q.97. How many know exactly 1 language?

  • (A) 6
  • (B) 16
  • (C) 7
  • (D) 10

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Q. In the class of 55 students the number ofstudying different subjects are as given below: Maths 23, Physics 24, chemistry 19, maths+physics 12, maths+chemistry 9, Physics +chemistry 7, all three subjects 4. Find the number of students who have taken atleast 1 subject?

  • (A) 22
  • (B) 45
  • (C) 42
  • (D) 14

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Q. [~ q ^ (p→q)]→~ p is,

  • (A) Satisfiable
  • (B) tautology
  • (C) unsatisfiable
  • (D) contradiction

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Q. If P and Q stands for the statement P : It is hot
Q : It is humid,
then what does the following mean? P Ù (~ Q):

  • (A) It is got and it is humid
  • (B) It is hot and it is not humid
  • (C) it is not hot and it is humid
  • (D) none

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Q. In a survey of 85 people it is found that 31 like to drink milk, 43 like coffee and 39 like tea.Also 13 like both milk and tea, 15 like milk and coffee, 20 like tea and coffee and 12 like none of the three drinks. Find the number of people who like all the three drinks.

  • (A) 10
  • (B) 9
  • (C) 8
  • (D) 7

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Q. The statement ( p^q) → p is a

  • (A) absurdity
  • (B) contadiction
  • (C) tautology
  • (D) none

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Q. In a survey of 85 people it is found that 31 like to drink milk 43 like coffee and 39 like tea.Also 13 like both milk and tea, 15 like milk and coffee, 20 like tea and coffee and 12 like none of the three drinks. Find the number of people who like all the three drinks.

  • (A) 9
  • (B) 8
  • (C) 10
  • (D) 11

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Q. Find the negation of the proposition: “Michael’s PC runs Linux”

  • (A) “It is not the case that Michael’s PC runs Linux.”
  • (B) “Michael’s PC does not run Linux.”
  • (C) Both a and b
  • (D) Only a

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