JEE Main 2021MathematicsMathematical ReasoningLogical ConnectivesmediumMCQ

JEE Main 2021Mathematical Reasoning Question with Solution

From: JEE Main 2021 (Online) 31st August Evening Shift

Question

Negation of the statement (p r) (q r) is :

Choose an option

Show full solutionCorrect option: A
Correct answer
Ap q r

Step-by-step explanation

Negative of (p r) (q r)

((p r) (q r)) (p r) ( (q r))

(p r) ( q r) (p r) r) q

((p r)) (r r) q (p r) f) q

(p r) ( q) p q r

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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.