If x and y are two digits of the number 653xy such that the number is divisible by 80, then x + y is equal to :

Answer: Option D

Since, 653xy is divisible by 80, we must have y = 0
Now, 653x0 must be divisible by both 5 and 16
Clearly, it is divisible by 5 for all values of x
Now, the number 53x0 must be divisible by 16
The least value of x is clearly 6
So, x + y
= 6 + 0
= 6