Given, an 8-digit number 30x0867 is divisible by 88 ∴ the number 30x0867y is divisible by 8 and 11 ∵ A number is divisible by 8 if the number formed by hundred’s, ten’s and unit’s digit of the given number is divisible by 8 ∴ 67y is divisible by 8 ∴
67
8
y=84, when y = 2 And, a number is divisible by 11 if the difference between the sum of its digits at odd place and the sum of its digits of even place is either 0 or a number divisible by 11. ∴ (7 + 8 + x + 3) – (y + 6 + 0 + 0) = 18 + x – (2 + 6) = 18 + x – 8 = 10 + x ∴