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Question

What will be the remainder when (`67^67` + 67 ) is divided  by 68 ?


Options:
A .  1
B .  63
C .  66
D .  67
Answer: Option C

(`x^n` + 1) will be divisible by ( `x` + 1) only when  n is odd

`therefore`  (`67^67` + 1) will be divisible by ( 67 + 1)

`therefore`  (`67^67` + 1)  + 66. when divided by 68 will give 66 as remainder.



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