Question

Fill in the blanks with the smallest digit to make the number divisible by $11$:

$304\_\_\_5$

Answer 1

The divisibility by $11$ rule states that if the difference of the sum of the digits at odd places and the sum of the digits at even places of the number is $0$or divisible by $11$, then the given number is also divisible by $11$.

For calculating the difference, we always subtract the smaller value from the larger value.

The sum of digits at odd places $=3+4+5=12$

The next number nearest to $12$ which is divisible by $11$ is $22$.

Therefore, difference is $22-12=10$

Sum of digits$=1+1=1$

Out of which $0$ is available and $1$ is required.

Hence, the number which is divisible by $11$ is $30415$