Question

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

• A. $2$
• B. $5$
• C. $8$
• D. $9$

Answer 1

The correct option is D $9$

Let us work out with few numbers and get the answer

Let the number be $23$.

Sum of digits is $2+3=5$

Now, we subtract the sum of the digits from the number itself that is $23-5=18$.

$18$ is divisible by both $2$ and $9$.

Similarly, Let the number be $15$.

Sum of digits is $1+5=6$

Now, we subtract the sum of the digits from the number itself that is $15-6=9$.

$9$ is divisible by $9$.

Hence, the sum of the digits of a number is subtracted from the number, the resulting number is always divisible by $9$.