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Question

When 2256 is divided by 17, what will be the remainder?

A
1
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B
16
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C
14
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D
None of these
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Solution

The correct option is C 1
When 2256 is divided by 17 then,
225624+1(24)64(24+1)
By remainder theorem when f(x) is divided by (x+a) the remainder =f(a)
Here, f(x)=(24)64 and x=24 & a=1
Remainder =f(1)=(1)64=1

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