JEE Main 2022 — Mathematical Reasoning Question with Solution
From: JEE Main 2022 (Online) 30th June Morning Shift
Question
The conditional statement
is :
Choose an option
Show full solutionCorrect option: A
Correct answer
Aa tautology
Step-by-step explanation
| p | q | r | p | A = p q |
B = p r |
C = (A B) |
D = (B A) |
C D |
|---|---|---|---|---|---|---|---|---|
| T | T | T | F | T | T | T | T | T |
| T | T | F | F | T | F | T | T | T |
| T | F | T | F | F | T | T | F | T |
| T | F | F | F | F | F | T | T | T |
| F | T | T | T | F | T | T | F | T |
| F | T | F | T | F | T | T | F | T |
| F | F | T | T | F | T | T | F | T |
| F | F | F | T | F | T | T | F | T |
Given statement is a tautology.
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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.