JEE Main 2022 Mathematics question

Not in JEE syllabus

The statement (~(p ~q)) q is :

(1)a tautology
(2)a contradiction
(3)equivalent to q
(4)equivalent to pCorrect

Answer: (4)

Solution

~(p ~q) ≡ (p q), so the statement is (p q) q. The truth table has T only for p = T, q = T, and F in the other three rows, so it is neither a tautology nor a

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Question ID VK-025183