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) $ .
