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Question

When 2256 is divided by 17, the remainder would be:     


Correct Answer
A
1
Your Answer
B
16
Your Answer
C
14
Your Answer
D
None of these                            

Solution

The correct option is A 1

2256 can be written as (24)64=(171)64.

In the expansion of (171)64,  every term is divisible by 17 except (1)64. Hence remainder is 1.

Or alternatively:

Euler's number of 17 is 16 and 256 is a multiple of 16. Hence the remainder is 1.

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