Mathematical Logic And Boolean Algebra Question 89

Question: If p and q are two statement then $ (prightarrow \tilde{\ }q) $ is true when-

Options:

A) p and q both are true

B) p and q both are false

C) p is false and q is true

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

[c] We know that $ prightarrow q $ is true if p and q both are true of false. So $ prightarrow \tilde{\ }q $ is true when if p and $ \tilde{\ }q $ is true. i.e., p is true and q is false. Or p and $ \tilde{\ }q $ is false, i.e. p is false and q is true.