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JEE Main202227 Jun 2022Evening ShiftMathematicsMathematical ReasoningActual

Which of the following statement is a tautology?

Options

  1. A~ q ∧ p ∧ q
  2. B~ q ∧ p ∧ p ∧ ~ p
  3. C~ q ∧ p ∨ p ∨ ~ p
  4. Dp ∧ q ∧ ~ p ∧ q

Correct answer

C. ~ q ∧ p ∨ p ∨ ~ p

Step-by-step solution

We know that p ∨ ~ p is a tautology and r ∨ t ≡ t So, ~ q ∧ p ∨ p ∨ ~ p will be a tautology.

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