Verified Solution • 2025–26 Session
moderate
QJEEM20Ma38a4: JEE Main 2020 Mathematics - Class 11 JEEM20Ma38a4 Solution: Given the following two statements: ( S 1 ) : ( q ∨ p ) → ( p…
Given the following two statements:
is a tautology
is a fallacy. Then:
Multiple Choice Options
- A both (S1) and (S2) are not correct
- B only (S1) is correct
- C only (S2) is correct
- D both (S1) and (S2) are correct
Step-by-Step Verified Solution
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 |
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 |