Question

Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”

• A. If a number is not a prime then it is odd
• B. If a number is not a prime then it is 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

Answer 1

Answer: (B)

If a number is not a prime then it is odd

Answer 2

p : A number is a prime.

Q : It is odd.

We have p ⇒ q

The inverse of p ⇒ q is $\sim p \Rightarrow \sim q$

i.e., If a number is not a prime then it is not odd.