JEE Main 12 Jan 2019 Evening Question 2

Question: The expression $ \tilde{\ }(\tilde{\ }p\to q) $ is logically equivalent to

[JEE Main Online Paper Held On 12-Jan-2019 Evening]

Options:

A) $ p\wedge q $

B) $ \tilde{\ }p\wedge q $

C) $ \tilde{\ }p\wedge \tilde{\ }q $

D) $ p\wedge \tilde{\ }q $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ p $ $ \tilde{\ }p $ $ q $ $ \tilde{\ }q $ $ \tilde{\ }p\to q $ $ \tilde{\ }(\tilde{\ }p\to q) $ $ (\tilde{\ }p\wedge \tilde{\ }q) $ T F T F T F F F T T F T F F T F F T T F F F T F T F T T

    Above truth table shows that $ (\tilde{\ }p\to q) $ is logically equivalent to $ (\tilde{\ }p\wedge \tilde{\ }q) $ .