For any integers \(x\) and \(y,\) \(\min(x, y)\) and \(\max(x, y)\) denote the minimum and the maximum of \(x\) and \(y,\) respectively. For example, \(\min(2, 1) = 1\) and \(\max(2,1) = 2.\) If \(a, b, c\) and \(d\) are distinct positive integers, is \(\max(a, \max(b, \min(c, d))) = \max(d, \max(a, \min(b, c)))?\)

(1) \(b, c\) and \(d\) are factors of \(a.\)
(2) \(a - 2d = b + c\)

Answer: D

Source: e-GMAT