JEE Main 2021MathematicsMathematical ReasoningLogical ConnectiveseasyMCQ

JEE Main 2021Mathematical Reasoning Question with Solution

From: JEE Main 2021 (Online) 24th February Morning Shift

Question

The statement among the following that is a tautology is :

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Given,

=

=

=

=

= t

Hence, is a tautology.

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 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.