If \(x\) and \(y\) are positive integers, is \(x\) a prime number?

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If \(x\) and \(y\) are positive integers, is \(x\) a prime number?

(1) \(|x-2|<2-y.\)

(2) \(x+y-3=|1-y|\)

Answer: D

Source: GMAT Club Tests