JEE Main 2021MathematicsMathematical ReasoningMediumMCQ

JEE Main 2021 — Mathematical Reasoning Question with Solution

JEE Main 2021 (25 Jul Shift 2)

Question

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:

Choose an option

Show full solutionCorrect option: C
Correct answer
CThe match will be played and weather is not good or ground is wet.

Step-by-step explanation

Let p: weather is good
and q: ground is not wet

Given statement "The match will be played only if the weather is good and ground is not wet" can be written as p∧q

Now, negation of  p∧q is ~p∧q≡~p∨~q

which is equivalent to "The match will be played and weather is not good or ground is wet".

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About this question

This is a previous-year question from JEE Main 2021, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.