Correct Answer - Option 2 : 1
Given:
Number = 87659_21
Number divisible by 11.
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.
Calculations:
Let the missing number be x.
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 value of x is 1.