JEE Main 2023MathematicsMathematical ReasoningEasyMCQ

JEE Main 2023Mathematical Reasoning Question with Solution

JEE Main 2023 (31 Jan Shift 1)

Question

Consider:

S1:pqp~q is a tautology.

S2:~p~q~pq is a contradiction.

Then

Choose an option

Show full solutionCorrect option: D
Correct answer
Donly S1 is correct

Step-by-step explanation

p q pq ~q p~q pqp~q
T T T F F T
T F F T T T
F T T F F T
F F T T F T

So, pqp~q is a tautology.

~p ~q ~p~q ~pq ~p~q~pq
F F T T T
F T T F F
T F F T F
T T T T T

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About this question

This is a previous-year question from JEE Main 2023, 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.