If \(x, y\) and \(k\) are integers, is \(xy\) divisible by \(3?\)

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If \(x, y\) and \(k\) are integers, is \(xy\) divisible by \(3?\)

(1) \(y = 2^{16} - 1.\)

(2) The sum of the digits of \(x\) equals \(6^k.\)

Answer: A

Source: Magoosh