Which of the following numbers will completely divide (4915 – 1) ?

Question: Which of the following numbers will completely divide (4915 – 1) ?
[A].

8

[B].

14

[C].

46

[D].

50

Answer: Option A

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.