If \(A\) and \(B\) are positive integers, is \(A\cdot B^4\) a multiple of \(2?\)

[Gmat_mission]

If \(A\) and \(B\) are positive integers, is \(A\cdot B^4\) a multiple of \(2?\)

1) \((2A+B)^3\) is an even number.

2) \(A+3B\) is an odd number.

Answer: D

Source: e-GMAT