The negation of statement pattern (p q) (p q)

MHT CET 2025 Mathematics question

Not in JEE syllabus

The negation of statement pattern

(A)a tautology
(B)a contingency
(C)a contradictionCorrect
(D)equivalent to

Answer: (C)

Solution

Let . Whenever the antecedent is true, is true, so is true; and when the antecedent is false the implication is true. Hence is true for all four rows of the truth table, i.e. is a tautology. Algebraically, $ S≡(p

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Question ID VK-103305