Consider the statement patterns A. (q p) (p q) B. ( p q) (p q) C. [(p q) p] q D. (p q) ( p q) then statement patterns

MHT CET 2026 Mathematics question

Not in JEE syllabus

Consider the statement patterns A. B. C. D. then statement patterns

(A)A and B are contradictions, C and D are tautologies.
(B)A and B are tautologies, C and D are contradictions.Correct
(C)A, B, C D all are tautologies.
(D)A, B, C, D all are contradictions.

Answer: (B)

Solution

A: is false only if both conditionals are false, i.e. () and () simultaneously, which is impossible, so A is a tautology. B: by De Morgan, , so the biconditional of two equivalent statements is always true, a tautology. C: \vee$

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Question ID VK-097764