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When 2256 is divided by 17, the remainder would be :
Answer & Solution
Correct Answer:
Option
A
When n is even, (xn - an) is divisible by (x + a)
Now, 2256 = (24)64 = (16)64
∴ (1664 - 164) is divisible by (16 + 1)
⇒ (1664 - 1) is divisible by 17
⇒ (2256 - 1) is divisible by 17
⇒ On dividing 2256 by 17, we get 1 as remainder.
Now, 2256 = (24)64 = (16)64
∴ (1664 - 164) is divisible by (16 + 1)
⇒ (1664 - 1) is divisible by 17
⇒ (2256 - 1) is divisible by 17
⇒ On dividing 2256 by 17, we get 1 as remainder.
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