Question : A student was asked to find the value of $\frac{\left(2 \frac{1}{3}+2 \frac{1}{2}-\frac{1}{6}\right) \div 2 \frac{1}{3} \times 5 \frac{2}{3} \div 1 \frac{2}{3} \text { of } 4 \frac{1}{4}}{3 \frac{1}{5} \div 4 \frac{1}{2} \text { of } 5 \frac{1}{3}+5 \frac{1}{3} \times \frac{3}{4} \div 2 \frac{2}{3}}$. His answer was $\frac{6}{7}$. What is the difference between the correct answer and his answer?

Option 1: $\frac{9}{14}$

Option 2: $\frac{5}{14}$

Option 3: $\frac{11}{49}$

Option 4: $\frac{6}{49}$

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

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 : 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 : What is the positive value of the following expression?
$\sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]}$

Option 1: $1 \frac{5}{6}$

Option 2: $1 \frac{1}{5}$

Option 3: $2 \frac{4}{5}$

Option 4: $2 \frac{3}{5}$