$24$ is divided into two parts such that $7$ times the first part added to $5$ times the second part makes $146$. The first part is

What least number must be added to $1056$ so that the sum is completely divisible by $23$?

Which number should replace both the $*$s in $\left(\frac{*}{21}\right) \times \left(\frac{*}{189}\right) = 1$?

If a number is decreased by $4$ and divided by $6,$ the result is $8.$ What would be the result if $2$ is subtracted from the number and then it is divided by $5$ ?

Which fraction among $\frac{3}{7}, \frac{5}{11}$,and $\frac{6}{13}$ is the largest?

Let $x$ be the smallest number,which when added to $2000$ makes the resulting number divisible by $12, 16, 18$ and $21$. The sum of the digits of $x$ is