If the seven-digit number 7x535y is divisible by 110, then the value of (x + 5y) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 3.
110 = 10 × 11
Divisibility rule of 10: The Last digit must be 0.
y = 0
Divisibility rule of 11: if the difference between the sum of its digits at odd places and the sum of its digits at even places is either 0 or divisible by 11
⇒ (7 + 5 + 5) - (x + 3 + 0)
⇒ 17 - x - 3 = 11
⇒ 14 - x = 11
⇒ x = 3
⇒ (x + 5y) = 3 + 0 = 3