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. 6
• B. 4
• C. 8
• D. 4 or 8

Answer 1

The correct option is A

6

If the number is divisible by another number, it will be divisible by its factors too.

The factors of $80=2\times 5\times 8$

For the number to be divisible by both 2 and 5, the last digit should be 0

So, $y=0$

So we can rewrite the number as $653x0$

Now For the number to be divisible by 8; last 3 digits should be divisible by 8

So $3x0$ should be divisible by 8

So, $x$ can be either 2 or 6 since 320 and 360 are divisible by 8

If $x=2$; then the number becomes 65320 which is not divisible by 80

If $x=6$; then the number becomes 65360 which is divisible by 80

Hence the value of $x=6$

So, $x+y=6+0$ = $6$