461 + 462 + 463 + 464 is divided by = ?

Answer: Option A

$$\begin{array}{rl}& 4^{61}+4^{62}+4^{63}+4^{64}\\ & =4^{61}\left(4^0+4^1+4^2+4^3\right)\\ & =4^{61}\times 85\end{array}$$
Now check with option 85 is divisible by 17.