In 87659_21 what is the least number that can be filled in blank to make the number divisible by 11.

Correct option is B

Given:
Number = 87659_21
Concept Used:
Divisibility rule of 11: If the sum of digits at odd and even places are equal or differ by a number divisible by 11, then the number is also divisible by 11.
Solution:
The sum of digits at odd and even places of 87659x21
Odd places = 8 + 6 + 9 + 2
Even places = 7 + 5 + x + 1
Odd places - Even places = 0 or 11
=> 25 - (x + 13) = 0
=> x = 25 – 13
=> x = 12
or
25 - (x + 13) = 11
=> 25 - x - 13 = 11
=> x = 12 - 11
=> x = 1
The least value of x = 1