JEE Main 2013 — Mathematical Reasoning Question with Solution
From: JEE Main 2013 (Offline)
Question
Consider :
Statement − I : is a fallacy.
Statement − II : is a tautology.
Statement − I : is a fallacy.
Statement − II : is a tautology.
Choose an option
Show full solutionCorrect option: A
Correct answer
AStatement - I is True; Statement -II is true; Statement-II is not a correct explanation for Statement-I
Step-by-step explanation
Statement - I :
| p | q | |||||
|---|---|---|---|---|---|---|
| T | T | F | F | F | F | F |
| T | F | F | T | T | F | F |
| F | T | T | F | F | T | F |
| F | F | T | T | F | F | F |
Hence, statement-I is a fallacy.
Statement - II :
| p | q | |||||
|---|---|---|---|---|---|---|
| T | T | F | F | T | T | T |
| T | F | F | T | F | F | T |
| F | T | T | F | T | T | T |
| F | F | T | T | T | T | T |
Hence, statement - II is a tautology.
Now, statement-II does not depend on statement-I.
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This is a previous-year question from JEE Main 2013, 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.