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JEE Main202131 Aug 2021Morning ShiftMathematicsMathematical ReasoningActual

Let * , □ ∈ ∧ , ∨ be such that the Boolean expression ( p * ~ q ) ⇒ ( p □ q ) is a tautology. Then :

Options

  1. A* = ∨ ,    □ = ∧
  2. B* = ∨ ,    □ = ∨
  3. C* = ∧ ,    □ = ∨
  4. D* = ∧ ,    □ = ∧

Correct answer

C. * = ∧ ,    □ = ∨

Step-by-step solution

Let ( p ∧ ~ q ) → ( p ∨ q ) is a tautology. p q ~ q p ∨ q p ∧ ~ q p ∧ ~ q ⇒ p ∨ q T T F T F T T F T T T T F T F T F T F F T F F T All are true so it's a tautology.

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