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Which of the following is a tautology

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$(~ p) \land (p \lor q) \to q$

$(q \to p) \lor ~ (p \to q)$

$~ q \lor (p \land q) \to q$

$(p \to q) \land (q \to p)$

answer is A.

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Detailed Solution

$\begin{array}{l} p q p \lor q ~ p \land (p \lor q) ~ p \land (p \lor q) \to q \\ T T T F T \\ T F T F T \\ F T T T T \\ F F F F T \end{array}$

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