Which of the following is a tautology?
(a) p ⇒ (q ∨ ~ q)
(b) p ⇔ (~q ∧ p)
(c) p ⇔ (p ∧ ~ p)
(d) (p ∧ ~ p) ∧ q

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Solution

p ⇒ (q ∨ ∼ q) is a tautological statement, if assertion is true in all possible interpretation.

Hence, the correct answer is option A.

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