$(0.1 \times 0.01 \times 0.001 \times 10^{7})$ is equal to

In a college,$\frac{1}{5}$ of the girls and $\frac{1}{8}$ of the boys took part in a social camp. What part of the total number of students in the college took part in the camp?

$1 \frac{3}{4} + 5 \frac{1}{3} + 3 \frac{2}{5} = ?$

Calculate the total number of prime factors in the expression $(4)^{11} \times (5)^{5} \times (3)^{2} \times (13)^{2}$.

Which of the following is $TRUE$?
$I.$ $\sqrt[3]{11} > \sqrt{7} > \sqrt[4]{45}$
$II.$ $\sqrt{7} > \sqrt[3]{11} > \sqrt[4]{45}$
$III.$ $\sqrt{7} > \sqrt[4]{45} > \sqrt[3]{11}$
$IV.$ $\sqrt[4]{45} > \sqrt{7} > \sqrt[3]{11}$

$A$ boy was asked to multiply a given number by $\frac{8}{17}$. Instead,he divided it by $\frac{8}{17}$ and got the result $225$ more than what he should have got if he had multiplied the number by $\frac{8}{17}$. The given number was: