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BITSAT2018MathematicsMathematical ReasoningActual

Which of the following statement is a tautology?

Options

  1. Ap ∨ q ∨ ~ p
  2. B~ q ∧ p ∨ p ∨ ~ p
  3. CBoth (a) and (b)
  4. DNone of the above

Correct answer

C. Both (a) and (b)

Step-by-step solution

Truth table p q ~ p ~ q p ∨ q ~ q ∧ p p ∨ ~ p p ∨ q ∨ ~ p ~ q ∧ p ∨ p ∨ ~ p T T F F T F T T T T F F T T T T T T F T T F T F T T T F F T T F F T T T Hence, option (c) is correct.

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