JEE Main 2021MathematicsMathematical ReasoningEasyMCQ

JEE Main 2021 — Mathematical Reasoning Question with Solution

JEE Main 2021 (26 Aug Shift 2)

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: D
Correct answer
Dboth (S1) and (S2) are true.

Step-by-step explanation

pq~p~qp→q~q→p(p→q)∨(~q→p)p∧~q~p∨q(p∧~q)∧(~p∨q)TTFFTTTFTFTFFTFTTTFFFTTFTTTFTFFFTTTFTFTF

From table
(p→q)∨(~q→p) is tautology and (p∧~q)∧(~p∨q) is 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.