Question

If the eight-digit number $5668x25y$ is divisible by $48$, find the least value of $x+y$.

• A. $10$
• B. $9$
• C. $8$
• D. $7$

Answer 1

The correct option is C $8$

$566x25y$ is divisible by $48,$ means it should by $4$ and $3.$

For $3,$ The sum must be the factor of $3.$

Hence$,$ $5+6+6+x+2+5+y=24+x+y$

$y$ should be to make a factor of $4.$

If $y=2,$

Then in $24+x+2,$ least value of $x=4.$

Hence $x+y=4+2=6.$