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

Solution (By Examveda Team)

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