Q. 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 a prime
D) If a number is odd, then it is a prime
Explanation
(b)
Let $p:$ A number is a prime
$q:$ It is odd
Given proposition is $p \rightarrow q$ its inverse is $\sim q \rightarrow \sim q$.
$ie$, If a number is not prime, then it is not odd.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.