If \(x, y,\) and \(d\) are integers and \(d\) is odd, are both \(x\) and \(y\) divisible by \(d?\)

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If \(x, y,\) and \(d\) are integers and \(d\) is odd, are both \(x\) and \(y\) divisible by \(d?\)

(1) \(x + y\) is divisible by \(d.\)
(2) \(x - y\) is divisible by \(d.\)

Answer: C

Source: GMAT Paper Tests
Source: — Data Sufficiency |