The value of $1001 \div 11 \text{ of } 13$ is

$8.88 \times 88.8 \times 88 = ?$

If $x^{a} \cdot x^{b} \cdot x^{c} = 1$,then the value of $a^{3} + b^{3} + c^{3}$ is

In an examination,a student was asked to find $\frac{3}{14}$ of a certain number. By mistake,he found $\frac{3}{4}$ of it. His answer was $150$ more than the correct answer. The given number is

If $ab + bc + ca = 0$,then the value of $\left(\frac{1}{a^2 - bc} + \frac{1}{b^2 - ca} + \frac{1}{c^2 - ab}\right)$ is

Which of the following is true?
$I.$ $\frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt{5}}$
$II.$ $\frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt{5}}$
$III.$ $\frac{1}{\sqrt{5}} > \frac{1}{\sqrt[3]{12}} > \frac{1}{\sqrt[4]{29}}$
$IV.$ $\frac{1}{\sqrt{5}} > \frac{1}{\sqrt[4]{29}} > \frac{1}{\sqrt[3]{12}}$