Mathematical Logic And Boolean Algebra Question 34

Question: Which of the following is the inverse of the proposition: ?if a number is a prime then it is odd.??

Options:

A) If a number is not a prime then it is odd

B) If a number is not a prime then it is not odd

C) If a number is not odd then it is not a prime

D) If a number is not odd then it is a prime?

Show Answer

Answer:

Correct Answer: B

Solution:

[b] p: A number is a prime Q: It is odd. We have $ p\Rightarrow q $ The inverse of $ p\Rightarrow q $ is $ \tilde{\ }p\Rightarrow \tilde{\ }q $ i.e., if a number is not a prime then it is not odd.