$138.009 + 341.981 - 146.305 = 123.6 + ?$

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

The value of $\frac{9^{2} \times 18^{4}}{3^{16}}$ is

Simplify:
$\frac{a^{1 / 2}+a^{-1 / 2}}{1-a}+\frac{1-a^{-1 / 2}}{1+\sqrt{a}}$

$A$ sum of $Rs. 1360$ has been divided among $A, B$ and $C$ such that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets. $B$'s share is (in $Rs.$)

The value of $\frac{3}{1^{2} \cdot 2^{2}}+\frac{5}{2^{2} \cdot 3^{2}}+\frac{7}{3^{2} \cdot 4^{2}}+\frac{9}{4^{2} \cdot 5^{2}}+\frac{11}{5^{2} \cdot 6^{2}}+\frac{13}{6^{2} \cdot 7^{2}}+\frac{15}{7^{2} \cdot 8^{2}}+\frac{17}{8^{2} \cdot 9^{2}}+\frac{19}{9^{2} \cdot 10^{2}}$ is