Question


What is the remainder when 77+777+7777+77777.........+777777777 is divided by 8?


Options:
A .   -1
B .   1
C .   7
D .   0
E .   Cannot be determined
Answer: Option D
:
D

78 remainder = -1


Thus, any odd power of 7, when divided by 8, will give a remainder of -1 itself.


(1)7+(1)77+(1)777......8


= -1-1-1-...8 times = - 8


The remainder when -8 is divided by 8, is 0.



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