JEE Main 2021MathematicsMathematical ReasoningEasyMCQ

JEE Main 2021Mathematical Reasoning Question with Solution

JEE Main 2021 (27 Jul Shift 1)

Question

The compound statement PQ~PQ equivalent to:

Choose an option

Show full solutionCorrect option: D
Correct answer
D~PQP~Q

Step-by-step explanation

P Q PQ ~P PQ~P PQ~PQ
T T T F F T
T F T F F T
F T T T T T
F F F T F T

 

P Q ~Q P~Q PQ ~PQ
T T F F T F
T F T T F T
F T F F T F
F F T F T F

 

~PQ P~Q ~PQP~Q
F F T
T T T
F F T
F F T

Hence, PQ~PQ equivalent to ~PQP~Q

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.