Question

The contrapositive statement of statement "If x is prime number, then x is odd" is

• A. If X is not is prime number, then x is not odd
• B. If X is not odd, then x is not a prime number
• C. If X is a prime number, then x is not odd
• D. If X is not a prime number, then x is odd

Answer 1

The correct option is B If X is not odd, then x is not a prime number

If p, then q means $p\to q$
$p\to q$ is equivalent to its contrapositive
$p\to q=\overline{p}+q=\sim p+q$
Contrapositive: $\sim q\to \sim p=\sim (\sim q)+\sim p$
$=q+\sim p$
$=\sim p+q$
$\therefore$Contrapositive of "If x is prime,then x is odd" is
If x is not odd, then x not a prime number