If a 10-digit number 1330x558y2 is divisible by 88, then the value of (x + y) is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 9
If a number is divisible by 88 it must be divisible by 8 and 11
Divisibility by 11:
[Sum of digits at odd positions] – [Sum of digits at even positions] = 0 or divisible by 11
1330x558y2 is divisible by 88
If divisible by 11:
(1 + 3 + x + 5 + y) – (3 + 0 + 5 + 8 + 2) = 0
⇒ x + y = 9
(1 + 3 + x + 5 + y) – (3 + 0 + 5 + 8 + 2) = 0
⇒ 9 + x + y – 18 = 0
⇒ x + y = 9