If \(m\) and \(n\) are positive integers, is \(m + n\) divisible by \(4?\)

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If \(m\) and \(n\) are positive integers, is \(m + n\) divisible by \(4?\)

(1) \(m\) and \(n\) are each divisible by \(2.\)

(2) Neither \(m\) nor \(n\) is divisible by \(4.\)

Answer: C

Source: Official Guide