Question

Fill in the blank with smallest digit to make $189....44$ divisible by $3.$

Answer 1

Since as we know that sum of all digits of a number is divisible by$3$ then the number is divisible by $3.$

The sum of all digits of a number $189x44$ is $1+8+9+x+4+4=x+26$ where $x$ is the smallest digit.

When we $x=1$ then $1+26=27$which is divisible by $3.$

Hence, the smallest digit to be placed in blank space is $1$ then digit $1$ to make $.......6724$ divisible by $3.$