JEE Main 2020 — Mathematical Reasoning Question with Solution
From: JEE Main 2020 (Online) 4th September Morning Slot
Question
Given the following two statements:
is a tautology
is a fallacy. Then:
is a tautology
is a fallacy. Then:
Choose an option
Show full solutionCorrect option: A
Correct answer
Aboth (S1) and (S2) are not correct
Step-by-step explanation
Truth table for S1 :
S1 is not correct.
Truth table for S2 :
S2 is also not correct.
| p | q | ~q | |||
|---|---|---|---|---|---|
| T | T | F | T | F | F |
| T | F | T | T | T | T |
| F | T | F | T | T | T |
| F | F | T | F | F | T |
S1 is not correct.
Truth table for S2 :
| p | q | ~q | ~p | ||
|---|---|---|---|---|---|
| T | T | F | F | F | F |
| T | F | T | F | T | T |
| F | T | F | T | T | F |
| F | F | T | T | F | F |
S2 is also not correct.
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This is a previous-year question from JEE Main 2020, 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.