If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?

Question: If x and y are the two digits of the number 653xy such that this number is divisible by 80, then x + y = ?
[A].

2 or 6

[B].

4

[C].

4 or 8

[D].

8

Answer: Option A

Explanation:

80 = 2 x 5 x 8

Since 653xy is divisible by 2 and 5 both, so y = 0.

Now, 653x is divisible by 8, so 13x should be divisible by 8.

This happens when x = 6.

x + y = (6 + 0) = 6.