Is $n$ a prime number? Statement I: $n$ is odd. Statement II: $n$ has exactly two distinct positive factors. Choose the standard data-sufficiency option.

Question

Is $n$ a prime number?

Statement I: $n$ is odd.

Statement II: $n$ has exactly two distinct positive factors.

Choose the standard data-sufficiency option.

Option A

A

Option B — Correct answer

B

Correct choice.

Option C

C

Option D

D

Option E

E

Explanation

Statement I alone is insufficient because many odd numbers are composite. Statement II alone is sufficient because that is the definition of a prime number. So the answer is B.

Chapter Mock 16: Data Sufficiency