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JEE Main202117 Mar 2021Morning ShiftMathematicsMathematical ReasoningActual

If the Boolean expression ( p ⇒ q ) ⇔ ( q * ( ~ p ) ) is a tautology, then the Boolean expression p * ( ~ q ) is equivalent to:

Options

  1. Aq ⇒ p
  2. B~ q ⇒ p
  3. Cp ⇒ ~ q
  4. Dp ⇒ q

Correct answer

A. q ⇒ p

Step-by-step solution

∵ p → q ≡ ~ p ∨ q So, * ≡ v Thus, p * ( ~ q ) ≡ p v ( ~ q ) ≡ q → p

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