The least positive integer with which $3125$ should be multiplied so that the product is a perfect square is _____

A number is multiplied by $2\frac{1}{3}$ times itself and then $61$ is subtracted from the product obtained. If the final result is $9200$, then the number is _____

The units digit of square of a number and the units digit of cube of the number are equal to the units digit of the number. How many values are possible for the units digits of such numbers?

What should be added to $2714$ to make the sum a perfect cube?

When $616$ is divided by a certain positive number, which is $66\frac{2}{3}\%$ of the quotient, it leaves $16$ as the remainder. Find the divisor.

If $a and b$ are whole numbers such that $a^b=512$, where $a>b$ and $1<b<4$, then $\sqrt[b]{a}=$_____

Find the value of $\sqrt[3]{6075}\times \sqrt[3]{88935}\times \sqrt[3]{9625}$

The sum of cubes of the first $\text{'}n\text{'}$ natural numbers$={\left(\frac{n\left(n+1\right)}{2}\right)}^2$ $\left[i.e., 1^3+2^3+3^3+....+n^3={\left[\frac{n\left(n+1\right)}{2}\right]}^2\right]$. Using this result find the value of ${11}^3+{12}^3+{13}^3+....+{20}^3$

The units digit of square root of a number anfd the units digit of cube root of the number is equal to the units digit of the number. How many values are possible for the units digits of such numbers?