Write a digit in the blank space of the following number so that the number formed is divisible by $$11$$.
$$92$$____$$389$$.
Sum of odd digits $$= 9 +$$ blank space $$+ 8 = 17 +$$ blank space
Sum of even digits $$= 2 + 3 + 9 = 14$$
The number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is divisible by $$11$$.
If we make a sum of odd digits $$= 25$$ then we will have a difference $$= 25 - 14 = 11$$ which is divisible by $$11$$.
To make a sum of odd digits $$= 25$$, a number at black space would be $$8$$.