Monicaa Abhijit Solutions for Chapter: Cubes and Cube Roots, Exercise 5: REVIEW EXERCISES

The cube of the natural number of the form $3n+1$ divided by $3$ leaves remainder as:

The cube of a natural number of the form $3n+2$ when divided by $3$ leaves remainder as:

$9,261$ is a perfect cube.

If $m$ and $n$ are integers such that $m^{\mathit{2}}\mathit{>}{n}^{\mathit{2}}$ then, $m^3>n^3$.

If $x^2$ ends in an even number of zeros, then $x^3$ ends in an odd numbers of zeros.

If $x^2$ ends in $5$, then $x^3$ ends in $25$.

$\sqrt[3]{480}=\sqrt[3]{a}\times 2\times \sqrt[3]{20}$. Find the value of $a$.

$\sqrt[3]{\frac{512}{2,197}}=\frac{8}{a}$, Find the value of $a$.