Question

Write a digit in the blank space of the given number so that the number formed is divisibly by 11.

92_389

Answer 1

We know that a number is divisible by 11 if the difference of the sum of the digits at odd places and that of even places should be either 0 or a multiple of 11.
Therefore, $92\underset{–}{}389$ $\to$ Even places = 2 + 3 + 9 = 14
Odd places = 9 + x + 8 =17 + x
Difference = 17 + x - 14 = x + 3, Now, for $x+3$ a multiple of 11, we need to keep 8 as the required value.
Thus, $92\underset{–}{8}389$ will be the required answer.