Discrete Math (Midterm)

9 Questions | Attempts: 921
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  • 1/9 Questions

    Which of the following statement is correct?

    • P ∨ q ≡ q ∨ p
    • ¬(p ∧ q) ≡ ¬p ∨ ¬q
    • (p ∨ q) ∨ r ≡ p ∨ (q ∨ r)
    • All options are correct
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About This Quiz

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Discrete Math (Midterm) - Quiz

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  • 2. 

    P ∨ q is logically equivalent to

    • ¬q → ¬p

    • Q → p

    • ¬p → ¬q

    • ¬p → q

    Correct Answer
    A. ¬p → q
  • 3. 

    P ↔ q is logically equivalent to

    • (p → q) → (q → p)

    • (p → q) ∨ (q → p)

    • (p → q) ∧ (q → p)

    • (p ∧ q) → (q ∧ p)

    Correct Answer
    A. (p → q) ∧ (q → p)
  • 4. 

    (p → q) ∧ (p → r) is logically equivalent to

    • P → (q ∧ r)

    • P → (q ∨ r)

    • P ∧ (q ∨ r)

    • P ∨ (q ∧ r)

    Correct Answer
    A. P → (q ∧ r)
  • 5. 

    ¬ (p ↔ q) is logically equivalent to

    • Q↔p

    • P↔¬q

    • ¬p↔¬q

    • ¬q↔¬p

    Correct Answer
    A. P↔¬q
  • 6. 

    P → q is logically equivalent to

    • ¬p ∨ ¬q

    • P ∨ ¬q

    • ¬p ∨ q

    • ¬p ∧ q

    Correct Answer
    A. ¬p ∨ q
  • 7. 

    ¬ (p ↔ q) is logically equivalent to

    • P ↔ ¬q

    • ¬p ↔ q

    • ¬p ↔ ¬q

    • ¬q ↔ ¬p

    Correct Answer
    A. P ↔ ¬q
  • 8. 

    P ∧ q is logically equivalent to

    • ¬ (p → ¬q)

    • (p → ¬q)

    • (¬p → ¬q)

    • (¬p → q)

    Correct Answer
    A. ¬ (p → ¬q)
  • 9. 

    (p → r) ∨ (q → r) is logically equivalent to

    • (p ∧ q) ∨ r

    • (p ∨ q) → r

    • (p ∧ q) → r

    • (p → q) → r

    Correct Answer
    A. (p ∧ q) → r

Quiz Review Timeline (Updated): Jan 19, 2018 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Jan 19, 2018
    Quiz Edited by
    ProProfs Editorial Team
  • Jan 18, 2018
    Quiz Created by
    Auabellanosa
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