The statement pattern [p (q p)] [p (p q)] is

MHT CET 2022 Mathematics question

Not in JEE syllabus

The statement pattern is

(A)a tautologyCorrect
(B)a contradiction
(C)a contingency
(D)equivalent to

Answer: (A)

Solution

Simplify each bracket. , so , a tautology. Also , another tautology. Hence the whole pattern is , which is always true. Check with a truth table: whenever is

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Question ID VK-094329