Question

Find the smallest digit which will replace * in $23*57$so that it is exactly divided by $3$.

Answer 1

Let us suppose a variable $\mathrm{x}$ for the *
Now given no. looks like $23x57$
The divisibility rule of$3$ A no. is completely divisible by $3$ if the sum of its digits is divisible by$3$ .
$\frac{2+3+x+5+7}{3}$ = $\frac{17+x}{3}$
We have to put the smallest value of x in the above expression so that it will be completely divisible by $3$
If we put$\mathrm{x}=1$, $\frac{17+1}{3}=\frac{18}{3}=6$
So, the smallest value that replaces * is$1$.