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Question

The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by:

A

5

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B

9

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C

8

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D

2

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Solution

The correct option is B: 9

Let us assume a number 19

Sum of its digit =1+9=10

If the sum is subtracted from the given number then the result will be

1910=9

so, the final result 9 is divisible by 9.

Hence, we can say that the resulting number will always divisible by 9.


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