Which of the following is not a tautology ?

$p \lor \sim p$

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$(p \Rightarrow q) \Rightarrow (\sim q \Rightarrow\sim p)$

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$p \lor \sim (q \land \sim q)$

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$p \land (q \lor \sim q)$

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Solution

The correct option is D
$p \land (q \lor \sim q)$

A tautology is a statement which is always true. $p \land (q \lor \sim q)$ is false when p is false. Hence, it is not a tautology. Other statements are always true.

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