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Question

Which of the following numbers will completely divide  (`49^15` - 1) ?


Options:
A .  8
B .  14
C .  48
D .  50
Answer: Option A

(`x^n` - 1) will be divisible by (`x` + 1) only when n is even .

(`49^15`  - 1) = {`(7^2)^15` - 1}  = (`7^30` - 1) , which is divisible by ( 7 + 1),  i.e.,8



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