Mathematical Logic And Boolean Algebra Question 65

Question: If $ p\Rightarrow (\tilde{\ }p,\vee ,q) $ is false, the truth values of p and q are respectively

Options:

A) $ F,T $

B) $ F,F $

C) $ T,T $

D) $ T,F $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ p\Rightarrow (\tilde{\ }p\vee q) $ is false means p is true and $ \tilde{\ }p\vee q $ is false.
$ \Rightarrow p $ is true and both $ \tilde{\ }p $ and q are false
$ \Rightarrow p $ is true and q is false.