Question

Write the smallest digit and the largest digit in the blanks space for the given number so that the number formed is divisibly by 11.
8_________9484

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 11.
Therefore, $8\underset{–}{6}9484$ $\to$ Odd places = 4 + 4 + 6 = 14
Even places = 8 + 9 + 8 = 25
Difference = 14 - 25 = -11, which is a multiple of 11.