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Q.

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


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a

50

b

51

c

-50

d

-1 

answer is A.

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Detailed Solution

Given that x 51 +51   is divided by x+1  .
Apply the remainder theorem.
Let, p x = x 51 +51  .
According to remainder theorem, when we divide p x   by x+1,  
we get the remainder p −1  .
By substituting the value x=−1   in p x   we get,
p −1 = −1 51 +51           =−1+51           =50   Hence, the remainder is 50.
The correct option is (1).
 
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