JEE Main 2021 — Mathematical Reasoning Question with Solution
From: JEE Main 2021 (Online) 17th March Morning Shift
Question
If the Boolean expression (p q) (q * (p) is a tautology, then the boolean expression (p * (q)) is equivalent to :
Choose an option
Show full solutionCorrect option: A
Correct answer
Aq p
Step-by-step explanation
The Boolean expression
is a tautology.
Making the truth table for this
| p | q | |||||
|---|---|---|---|---|---|---|
| T | F | F | F | T | T | F |
| F | T | T | T | F | F | T |
| F | F | T | T | T | F | T |
is equivalent to .
So,
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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.