(a) 1 When 2256 is divided by 17 th...
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(a) 1 When 2256 is divided by 17 the remainder would be (b) 16 (c) 14 (d) None of these Bank

NEET/Medical Exams
Maths
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(a) When ( 2^{256} ) is divided by 17 then, ( frac{2^{256}}{2^{4}+1}=frac{left(2^{2}right)^{64}}{left(2^{4}+1right)} ) By remainder theorem when ( f(x) ) is divided by ( x+a ) the remainder ( =f(-a) ) Here ( f(a)=left(2^{2}right)^{64} ) and ( x=2^{4} ) and ( a=1 ) ( therefore ) Remainder ( =f(-1)=(-1)^{64}=1 )
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