JEE Main 2022MathematicsMathematical ReasoningEasyMCQ

JEE Main 2022 — Mathematical Reasoning Question with Solution

JEE Main 2022 (28 Jun Shift 1)

Question

Let p,q,r be three logical statements. Consider the compound statements
S1:~p∨q∨~p∨r and S2:p→q∨r
Then, which of the following is NOT true?

Choose an option

Show full solutionCorrect option: C
Correct answer
CIfS2  is False, then S1 is True

Step-by-step explanation

S1:~p∨q∨~p∨r

≡~p∨q∨r

S2:p→q∨r≡~p∨q∨r

So S1 is equivalent to S2

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Mathematical Reasoning chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

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.