Question
461 + 462 + 463 + 464 is divided by = ?
Answer: Option A
$$\eqalign{
& {4^{61}} + {4^{62}} + {4^{63}} + {4^{64}} \cr
& = {4^{61}}\left( {{4^0} + {4^1} + {4^2} + {4^3}} \right) \cr
& = {4^{61}} \times 85 \cr} $$
Now check with option 85 is divisible by 17.
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$$\eqalign{
& {4^{61}} + {4^{62}} + {4^{63}} + {4^{64}} \cr
& = {4^{61}}\left( {{4^0} + {4^1} + {4^2} + {4^3}} \right) \cr
& = {4^{61}} \times 85 \cr} $$
Now check with option 85 is divisible by 17.
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