If \(y\) and \(z\) are integers, is \(y\cdot (z + 1)\) odd?

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If \(y\) and \(z\) are integers, is \(y\cdot (z + 1)\) odd?

(1) \(y\) is odd.
(2) \(z\) is even.

Answer: C

Source: GMAT Prep