JEE Main On 8 April 2017 Question 11

Question: The proposition $ (\tilde{\ }p)V(p\wedge \tilde{\ }q) $ is equivalent to: [JEE Online 08-04-2017]

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