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 not odd
• C. If a number is not odd then it is not prime
• D. If a number is odd then it is a prime

Answer 1

The correct option is B If a number is not a prime then it is not odd

Let $p:$ Number is prime

and $q:$ Number is odd

The given statement is $p\to q$

Its inverse is $\sim p\to \sim q$

Therefore, the inverse is "If a number is not a prime then it is not odd."

So, option B is correct.