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Question

The remainder obtained when (13+23+33+43+1003) is divided by 9 is


A

0

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B

1

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C

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D

3

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Solution

The correct option is B

1


13+23+33+431003=[(100)2(101)2]4=252×1012×4

Remainder of a product when it is being divided is going to be the same as the product of the individual remainders.

Rem(252×1012×4)=Rem(4×4×4)=Rem(64)=1


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