Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}+\left(2 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:

Option 1: $\frac{7}{2}$

Option 2: $3$

Option 3: $5$

Option 4: $\frac{9}{4}$

Question : The value of $\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)+\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}$ is:

Option 1: $\frac{35}{24}$

Option 2: $8$

Option 3: $\frac{15}{28}$

Option 4: $–2$

Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}-\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:

Option 1: $\frac{15}{28}$

Option 2: $-2$

Option 3: $\frac{35}{24}$

Option 4: $0$

Question : A student was asked to find the value of $\left[(\frac{4}{9} \div \frac{3}{5} \div \frac{3}{2}) \times \frac{9}{25}\right] ×{\left[\frac{2}{3} \text { of } \frac{4}{9} \div\left(3 \times \frac{3}{5} \text { of } \frac{4}{5}\right)\right]}{\frac{2}{3} \div \frac{3}{4} \text { of } 6}$ His answer was $\frac{2}{9}$.
What is the difference between his answer and the correct answer?

Option 1: $\frac{1}{12}$

Option 2: $\frac{1}{4}$

Option 3: $\frac{1}{24}$

Option 4: $\frac{1}{6}$

Question : Simplify the following.
$81^{\frac{3}{4}}+[(20 \div 5 \text { of } 3 \times 6)+\{(8 \div 24 \text { of } 3) \times 4\}-10 \div 5]-\left(\frac{1}{32}\right)^{-\frac{2}{5}}$

Option 1: $24 \frac{1}{4}$

Option 2: $21 \frac{1}{9}$

Option 3: $27 \frac{4}{5}$

Option 4: $29 \frac{4}{9}$