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Question

The remainder obtained when 100*(9910) is divided by (100*99) + 1 is 


A
1
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B
100
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C
9900
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D
none of these
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Solution

The correct option is D 9900

Option (d)

Go from unitary method, try for smaller numbers. Consider 10x910 = (10.9)99

(10x9)+1

Consider the remainder when 9991. go by frequency method.

9191R=9

9191R=-10

9391R= -90/91|R=+1

Therefore 9991R=1

Remainder will be only the first part of the numerator=10x9, in the case we have considered = 90

And in the question = 100x99= 9900


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