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JEE Main202120 Jul 2021Morning ShiftMathematicsMathematical ReasoningActual

The Boolean expression p ∧ ~ q ⇒ q ∨ ~ p is equivalent to:

Options

  1. Aq ⇒ p
  2. Bp ⇒ q
  3. C~ q ⇒ p
  4. Dp ⇒ ~ q

Correct answer

B. p ⇒ q

Step-by-step solution

We have, p q ~ p ~ q p ∧ ~ q q ∨ ~ p ( p ∧ ~ q ) ⇒ ( q ∨ ~ p ) p ⇒ q T F F T T F F F F T T F F T T T T T F F F T T T F F T T F T T T ∴   p ∧ ~ q ⇒ q ∨ ~ p ≡ p ⇒ q

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