If the 7-digit number 2y6810x is divisible by 88, then what is the value of the product of x and y?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 20.
Divisibility by 8:
Last 3 digits = 10x
Try x = 4 ⇒104 ÷ 8 =13 ⇒ x = 4
Divisibility by 11:
Alterate sum = 2 + 6 + 1 + 4 = 13, y + 8 + 0 = y + 8
13 − (y + 8) = 0
y = 5
Product = x × y = 4 × 5 = 20