JEE Main On 16 April 2018 Question 7
Question: $ p\to (\tilde{\ }pV\tilde{\ }q) $ is false, then the truth values of p and q are respectively. [JEE Main 16-4-2018]
Options:
A) T, F
B) F, F
C) F, T
D) T, T
Show Answer
Answer:
Correct Answer: D
Solution:
| p | Q | ~p | ~q | $ \tilde{\ }pV\tilde{\ }q $ | $ p\to (\tilde{\ }pV\tilde{\ }q) $ |
|---|---|---|---|---|---|
| T | T | F | F | F | F |
| T | F | F | T | T | T |
| F | T | T | F | T | T |
| F | F | T | T | T | T |
It can be seen from the truth table that $ p\to (\tilde{\ }pV\tilde{\ }q) $ is false only when p and q both are true. Hence, answer is option D.
