Examveda
Examveda

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

A. 17

B. 3

C. 11

D. 13

Answer: Option A

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.

This Question Belongs to Arithmetic Ability >> Surds And Indices

Join The Discussion

Related Questions on Surds and Indices