When $0.232323 \ldots$ is converted into a fraction,then the result is

What will come in place of the question mark (?) in the following equation?
$4003 \times 77 - 21015 = ? \times 116$

The value of $25 - 5[2 + 3\{2 - 2(5 - 3) + 5\} - 10] \div 4$ is

Which of the following statement$(s)$ is/are $TRUE$?
$I.$ $\frac{2}{3 \sqrt{5}} < \frac{3}{2 \sqrt{5}} < \frac{5}{4 \sqrt{3}}$
$II.$ $\frac{3}{2 \sqrt{5}} < \frac{2}{3 \sqrt{3}} < \frac{7}{4 \sqrt{5}}$

Simplify $\frac{0.2 \times 0.2 + 0.2 \times 0.02}{0.044}$

The difference between two numbers is $9$ and the difference between their squares is $207$. The numbers are