Consider the statement "The match will be played only if th…

Maths Mathematical Logic and Boolean Algebra ( Not In Syllabus ) JEE Main 2021 - ( Mathematical Reasoning ) Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct negation from the following:

The match will not be played and weather is not good and ground is wet.

If the match will not be played, then either weather is not good or ground is wet.

The match will be played and weather is not good or ground is wet.

The match will not be played or weather is good and ground is not wet.

Text Solution

Verified by Experts

The correct answer is:

p:weather is food q:ground is not wet

∼ (p ∧ q) ≡ ∼ p ∨∼ q

≡ weather is not good or ground is wet

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