JEE Main On 8 April 2017 Question 11
Question: The proposition $ (\tilde{\ }p)V(p\wedge \tilde{\ }q) $ is equivalent to: [JEE Online 08042017]
Options:
A) $ P\to \tilde{\ }q $
B) $ P\wedge \tilde{\ }q $
C) $ q\to p $
D) $ P\vee \tilde{\ }q $
Show Answer
Answer:
Correct Answer: B
Solution:

$ (\tilde{\ }p)V(p\wedge \tilde{\ }q) $ $ p $ $ q $ $ \tilde{\ }p $ $ \tilde{\ }q $ $ {p^{\wedge }}\tilde{\ }q $ $ (\tilde{\ }p)\vee ({p^{\wedge }}\tilde{\ }q) $ T T F F F F T F F T T T F T T F F F F F T T F F