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.