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Question

Which one of the following numbers will completely divide (`4^61` + `4^62` + `4^63` +`4^64`) ?


Options:
A .  3
B .  10
C .  11
D .  13
Answer: Option B

(`4^61` + `4^62` + `4^63` +`4^64`)  = `4^61` `xx` ( 1+ 4 +`4^2` +`4^3` )  = `4^61` `xx` 85

                     = `4^60` `xx` (4 `xx` 85 )  = (`4^60` `xx` 340), which is divisible by 10.




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