If \(p\) and \(k\) are non-negative distinct integers, then is \(p^{18}+18^{pk}\) odd?

[Vincen]

If \(p\) and \(k\) are non-negative distinct integers, then is \(p^{18}+18^{pk}\) odd?

(1) \(p^k\) is even.
(2) \(p^{k+1}\) is even.

Answer: E

Source: e-GMAT