Question

The contrapositive of the converse of the statement "If $x$ is a prime number then $x$ is odd" is

• A. If $x$ is not a prime number then $x$ is odd.
• B. If $x$ is not an odd number then $x$ is not a prime number.
• C. If $x$ is a prime number then it is not odd.
• D. If $x$ is not a prime number then $x$ is not an odd.

Answer 1

Answer: (D)

If $x$ is not a prime number then $x$ is not an odd.

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.

To form the converse of the conditional statement, interchange the hypothesis and the conclusion.

Hence:

Converse of the given statement- "If $x$xis odd then $x$ is prime number" .

Contrapositive of above statement - "If $x$ is not a prime number then $x$ is not an odd."