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. $8$
• E. None of these

Answer 1

The correct option is A $2$ or $6$

$80=2\times 5\times 8$
Since $653x$ 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 $x=6$.
$\therefore$ $x+y=(6+0)=6$