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Question

If x51+51 is divided by x + 1, the remainder is


A

0

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B

1

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C

49

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D

50

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Solution

The correct option is D

50


Let f(x) =x51+51 is divisible by x+ 1

Let x + 1 = 0, then x =-1

f(1) =(1)51 + 51=-1 + 51

( power 51 is an odd integer)

= 50


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