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Question

The sum of all the possible remainders, which can be obtained when the cube of a natural number is divided by 9, is

A
5
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B
6
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C
8
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D
9
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Solution

The correct option is D 9
Cube of a natural number is of the form 9m,9m+1,9m+89m,9m+1,9m+8
So possible remainder are 0,1,80,1,8
Sum=0+1+8=9

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