Verified Solution • 2025–26 Session
moderate
QJEEM22Ma87ef: JEE Main 2022 Mathematics - Class 11 JEEM22Ma87ef Solution: The conditional statement ( ( p ∧ q ) → ( ( ∼ p ) ∨ r ) ) ∨ ( ( …
The conditional statement
Multiple Choice Options
- A a tautology
- B a contadiction
- C equivalent to p∧q
- D equivalent to (∼p)∨r
Step-by-Step Verified Solution
| p | q | r | A = p | B = | C = (A | D = (B | C | |
|---|---|---|---|---|---|---|---|---|
| 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 |