JEE Main 2021MathematicsMathematical ReasoningEasyMCQ

JEE Main 2021Mathematical Reasoning Question with Solution

JEE Main 2021 (31 Aug Shift 1)

Question

Let *,{,} be such that the Boolean expression (p*~q)(pq) is a tautology. Then :

Choose an option

Show full solutionCorrect option: C
Correct answer
C*=,  =

Step-by-step explanation

Let (p~q)(pq) is a tautology.
p q ~q pq p~q p~qpq
T T F T F T
T F T T T T
F T F T F T
F F T F F T

All are true so it's a tautology.

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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.