Answer     A

Firstly, $2015^{2016}\equiv 15^{2016}\pmod{100}$.

It is easy to verify that ($k > 1$), $15^k \equiv 25\pmod{100}$ when $k$ is even, and $15^k \equiv 75\pmod{100}$ when $k$ is odd.

Therefore $15^{2016}$ will end with $25$ which leads to the final answer as $\boxed{0}$.