If \(x\) and \(y\) are positive integers, what is the remainder when \(xy\) is divided by \(4?\)

[M7MBA]

If \(x\) and \(y\) are positive integers, what is the remainder when \(xy\) is divided by \(4?\)

(1) \(x + y = xy.\)

(2) \((x - 1)(y - 1)\) is odd.

Answer: D

Source: Manhattan GMAT