JEE Main 2022 — Mathematical Reasoning Question with Solution
From: JEE Main 2022 (Online) 26th June Evening Shift
Question
Let r {p, q, p, q} be such that the logical statement
r (p) (p q) r
is a tautology. Then r is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
Cp
Step-by-step explanation
Clearly r must be equal to p
p p = p
and (p q) p = p
p p = tautology.
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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.