JEE Main 2021MathematicsMathematical ReasoningLogical ConnectivesmediumMCQ

JEE Main 2021Mathematical Reasoning Question with Solution

From: JEE Main 2021 (Online) 26th August Evening Shift

Question

Consider the two statements :

(S1) : (p q) ( q p) is a tautology .

(S2) : (p q) ( p q) is a fallacy.

Then :

Choose an option

Show full solutionCorrect option: C
Correct answer
Cboth (S1) and (S2) are true.

Step-by-step explanation

S1 : ( p q) (q p) = (q p) (q p)

S1 = q ( p p) = qvt = t = tautology

S2 : (p q) ( p q) = (p q) (p q) = C = fallacy

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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.