Question : If the sum of the diagonals of a rhombus is $L$ and the perimeter is $4P$, find the area of the rhombus.

Option 1: $\frac{1}{4}\left(\mathrm{~L}^2-\mathrm{P}^2\right)$

Option 2: $\frac{1}{2}\left(\mathrm{~L}^2-4 \mathrm{P}^2\right)$

Option 3: $\frac{1}{4}\left(\mathrm{~L}^2+3 \mathrm{P}^2\right)$

Option 4: $\frac{1}{4}\left(\mathrm{~L}^2-4 \mathrm{P}^2\right)$

Question : The value of $\frac{1}{8} × \left[\frac{1}{5}\right.$ of $\left.\frac{11}{2} ÷\left\{\left(\frac{15}{3}-\frac{18}{6}\right)\right\}\right]$ is:

Option 1: $\frac{11}{160}$

Option 2: $\frac{11}{20}$

Option 3: $\frac{8}{11}$

Option 4: $\frac{11}{8}$

Question : The value of $\left[\frac{1}{4}\right.$ of $\left.18 \div \frac{6}{5} \text{of}\left(\frac{1}{8}+\frac{7}{4}\right)\right] \times \frac{1}{15}$ is:

Option 1: $\frac{2}{15}$

Option 2: $\frac{6}{7}$

Option 3: $\frac{5}{8}$

Option 4: $\frac{4}{5}$

Question : The value of $\frac{3}{8}+\left[\left(\frac{4}{8} \div \frac{2}{3}\right) \times \frac{8}{5}+\frac{3}{10}\right]$ is:

Option 1: $\frac{15}{8}$

Option 2: $\frac{3}{8}$

Option 3: $\frac{3}{2}$

Option 4: $\frac{15}{2}$

Question : What is the value of $\left[\frac{1}{5}+\left\{\frac{1}{6}\right.\right.$ of $\left.\left.\left(\frac{42}{35} \div \frac{6}{25}\right)–\left(\frac{2}{7} \times \frac{6}{5} \div \frac{18}{42}\right)\right\}+\frac{19}{30}\right]$?

Option 1: $\frac{17}{15}$

Option 2: $\frac{13}{15}$

Option 3: $\frac{14}{15}$

Option 4: $\frac{11}{15}$

Question : What is the value of $\frac{\left[\left(\frac{5}{7} \text { of } \frac{1}{12} \times \frac{1}{4}-\frac{1}{2} \times \frac{1}{8}\right)+\frac{5}{4} \times \frac{8}{15}-\frac{2}{3}\right]}{\frac{1}{2} \div \frac{1}{4}+\frac{1}{2}}$ ?

Option 1: $\frac{-5}{108}$

Option 2: $\frac{-4}{103}$

Option 3: $\frac{-4}{105}$

Option 4: $\frac{-2}{105}$