If \(x\) and \(y\) are positive integers, is \(x\) odd?

[M7MBA]

If \(x\) and \(y\) are positive integers, is \(x\) odd?

(1) \(x - 2y\) is a prime number.
(2) \(x + 2y\) is a prime number.

Answer: B

Source: GMAT Club Tests