Mathematical Logic And Boolean Algebra Question 8

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

[Karnataka CET 2002]

Options:

A) F, T

B) F, F

C) T, T

D) T, F

Show Answer

Answer:

Correct Answer: D

Solution:

$ p\Rightarrow (\tilde{\ }p\vee q) $ is false means p is true and $ \tilde{\ }p\vee q $ is false.
Þ p is true and both ~p and q are false.
Þ p is true and q is false.