When the square of a non-zero positive number is divided by its cube root, the quotient is obtained as $32$. If the cube of the number is divided by the number itself, then find the quotient.

There is a certain number of rows of chairs in a room. The number of chairs in each row is thrice the total number of rows. Find the number of chairs in each row and a number of rows in the room if the number of chairs is $2187$. 

Find the divisor and the quotient, given the dividend is $1035$, the divisor is one-fourth the quotient and the remainder is $11$.

In a five-digit number $1b6a3$, $a$ is the greatest single-digit perfect cube and twice of an exceeds $b$ by $7$. Then the sum of the number and its cube root is _____.  

If $\sqrt[3]{3\left(\sqrt[3]{x}-\frac{1}{\sqrt[3]{x}}\right)}=2,$ then $\sqrt[3]{x}-\frac{1}{\sqrt[3]{x}}=$_____. 

Find the value of $\sqrt[3]{288}\times \sqrt[3]{432}\times \sqrt[3]{648}$.

When a number is multiplied by itself, the product is said to be _____ of that number.

The number of zeroes at the end of the square of a number is _____ the number of zeroes at the end of the number.

When a $\text{'}n\text{'}$ digit number is squared, then the number of digits in the square, thus, obtained is $2n-1,$ and _____.