JEE Main 2023 — Mathematical Reasoning Question with Solution
JEE Main 2023 (25 Jan Shift 2)
Question
Let be such that is a tautology. Then
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Given,
be such that is a tautology
Now checking all options by making truth table we get,
Option
| T | T | T | T | T |
| T | F | F | T | F |
| F | T | T | T | T |
| F | F | T | F | F |
Option
| T | T | T | T | T |
| T | F | F | F | F |
| F | T | T | F | T |
| F | F | T | F | T |
Option
| T | T | T | T | T |
| T | F | F | T | T |
| F | T | T | T | T |
| F | F | T | F | T |
Hence, it is a tautology.
Option
| T | T | T | T | T |
| T | F | F | F | F |
| F | T | T | F | F |
| F | F | T | F | F |
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This is a previous-year question from JEE Main 2023, 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.