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The remainder obtained when 100*(9910) is divided by (100*99) + 1 is 
Options:
A .  0
B .  1
C .  100
D .  9900
E .  none of these
Answer: Option D
:
D
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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