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Which of the following number will divide (5116 - 1)
1. 12
2. 11
3. 13
4. 14

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Correct Answer - Option 3 : 13

Concept used:

Any number (xn - 1) is divisible by (x + 1), when n is even.

Calculation:

Here, n = 16, which is even

(5116 - 1) is divisible by (51 + 1) = 52

And, 52 is divisible by 13.

If any number is divisible by 52 then that number is always divisible by 13

∴ The given number (5116 - 1) is divisible by 13.

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