Mathematical Logic And Boolean Algebra Question 62

Question: If p: Ashok works hard q: Ashok gets good grade The verbal form for $ (\tilde{\ }p\to q) $ is

Options:

A) If Ashok works hard then gets good grade

B) If Ashok does not work hard then he gets good grade

C) If Ashok does not work hard then he does not get good grade

D) Ashok works hard if and only if he gets grade

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ \tilde{\ }p: $ Ashok does not work hard Use $ ‘\to ’ $ symbol for then $ (\tilde{\ }p\to q) $ mean = If Ashok does not work hard then he gets good grade.