JEE Main 2022 — Mathematical Reasoning Question with Solution
From: JEE Main 2022 (Online) 29th June Evening Shift
Question
Negation of the Boolean statement (p q) (( r) p) is equivalent to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C( p) q r
Step-by-step explanation
Given,
(p q) (( r) p)
Negation is
((p q) ( r) p))
= (p q) (( r) p)
= (p q) (r p)
[(p p) (q p)] r
= q p r
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This is a previous-year question from JEE Main 2022, 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.