Question

If $653xy$ is exactly divisible by $80$, then the value of $(x+y)$ is

• A. $2$
• B. $3$
• C. $4$
• D. $6$

Answer 1

The correct option is D $6$

$653xy=65300+10x+y$

$80=2\times 5\times 8$

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 $x=6$

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

Hence, option D.