Question

If the $3$-digit number $24$ X is divisible by $9$, then the minimum value of x is _____ .

• A. $1$
• B. $2$
• C. $3$
• D. $12$

Answer 1

The correct option is C $3$

Divisibility Test for $9$ :

For a number to be divisible by $9$, sum of its digits should also be divisible by $9$

Here for $24x$ to be divisble by $9$,

$2+4+x$ should also be divisble by 9

Least multiple of $9$ is $9$

Minimum value of $x=9-2-4=3$

$\Rightarrow x=3$