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Aptitude - Numbers - Discussion

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"Loneliness is the most terrible poverty."
- Mother Teresa
55. 

Which of the following numbers will completely divide (4915 - 1) ?
[A]. 8[B]. 14
[C]. 46[D]. 50

Answer: Option E

Explanation:

(xn - 1) will be divisibly by (x + 1) only when n is even.

(4915 - 1) = {(72)15 - 1} = (730 - 1), which is divisible by (7 +1), i.e., 8.
Pranav said: (Wed, Dec 29, 2010 03:02:15 PM)    
 
it can also be divided by 48 i.e (a^n-b^n is always divisible by a-b)
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