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The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by which of the following numbers?

  • a)
    2

  • b)
    5

  • c)
    9

  • d)
    8

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The sum of the digits of a number is subtracted from the number, the r...
The resulting number is always divisible by 9. e.g., Consider 47. Sum of its digits is 4+7=11 So,47−11=36 which is exactly divisible by 9
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The sum of the digits of a number is subtracted from the number, the r...
Solution:

To understand the solution, let's take an example of a number and find out whether it is divisible by 9 or not.

Let the number be 234.

The sum of its digits = 2 + 3 + 4 = 9

Now, subtracting the sum of digits from the number, we get:

234 - 9 = 225

We can see that the resulting number, 225, is divisible by 9.

Let's prove it mathematically:

225 = 9 × 25

So, we can say that if we subtract the sum of the digits of a number from the number itself, the resulting number is always divisible by 9.

Therefore, option 'C' is the correct answer.
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The sum of the digits of a number is subtracted from the number, the resulting number is always divisible by which of the following numbers?a)2b)5c)9d)8Correct answer is option 'C'. Can you explain this answer?
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