Mathematical-Logic-And-Boolean-Algebra Question 161
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.