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Question

Which of the following numbers will completely divide (4915 - 1) ?
Options:
A .  6
B .  7
C .  8
D .  9
Answer: Option C

`(x^n - a^n)text{ is completely divisible by }(x + a) text{ when n is even}`


`(49^{15} - 1) = [(7^{2})^{15} - 1] = (7^{30} - 1) = (7^{30} - 1^{30})
text{which is completely divisible by }(7 + 1) = 8`




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