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NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice

The compound statement p ↔ q ∨ p ↔ ~ q is logically equivalent to

Options

  1. Ap ↔ q
  2. Bp ∨ q
  3. Ctautology
  4. Dcontradiction

Correct answer

C. tautology

Step-by-step solution

We know that ~ p ↔ q ≡ p ↔ ~ q ∴ given statement is p ↔ q ∨ ~ p ↔ q which is a tautology ∵   p ∨ ~ p ≡ t

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