Question

Fill in the blank with smallest digit to make $1790.....84$ divisible by $6.$

Answer 1

Since as we know that number is divisible by $2$ and $3$ both.

$1790x84$ is divisible $2$ because its last digit is $4$ and sum of all digits of $1790x84$ is $1+7+9+0+x+8+4=29+x$ where $x$ is the smallest digit.

If $x=1$ then $29+1=30$ which is divisible by $3$.

Hence, the smallest digit to be placed is blank space is $1$ then digit $1$ to make $1790.....84$ divisible by $6$.