Mathematical Logic And Boolean Algebra Question 95

Question: If p is false and q is true, then

Options:

A) $ p\wedge q $ is true

B) $ p\vee \tilde{\ }q $ is true

C) $ q\wedge p $ is true

D) $ p\Rightarrow q $ is true

Show Answer

Answer:

Correct Answer: D

Solution:

[d] When p is false and q is true, then $ p\wedge q $ is false, $ p\vee \tilde{\ }q $ is false. ( $ \because $ both p and $ \tilde{\ }q $ are false) and $ q\Rightarrow p $ is also false, only $ p\Rightarrow q $ is true.