Question : $\frac{1}{3-\sqrt{8}}-\frac{1}{\sqrt{8}-\sqrt{7}}+\frac{1}{\sqrt{7}-\sqrt{6}}-\frac{1}{\sqrt{6}-\sqrt{5}}+\frac{1}{\sqrt{5}-2}=?$

Option 1: 5

Option 2: 4

Option 3: 3

Option 4: 2

Question : Solve the following.
$\frac{24 \div \frac{3}{8} \text { of }(8+2 \times \overline{7-3})+\left[\frac{2}{11} \div \frac{4}{55}-\left\{\frac{5}{8}+\frac{6}{16}\right\}\right]}{32 \div \overline{15-7}+75 \div(6+15 \div 3+4)} $

Option 1: $\frac{23}{27}$

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

Option 3: $\frac{11}{18}$

Option 4: $\frac{15}{19}$

Question : The value of $8-3 \div 6$ of $2+\left(4 \div 4\right.$ of $\left.\frac{1}{4}\right) \div 8+\left(4 \times 8 \div \frac{1}{4}\right) \times \frac{1}{8}$ is:

Option 1: $\frac{7}{4}$

Option 2: $-\frac{97}{4}$

Option 3: $-\frac{7}{4}$

Option 4: $\frac{97}{4}$

Question : The value of $1-3 \div 6$ of $2+\left(4 \div 4\right.$ of $\left.\frac{1}{4}\right) \div 8+\left(4 \times 8 \div \frac{1}{4}\right) \times \frac{1}{8}$ is:

Option 1: $\frac{69}{4}$

Option 2: $-\frac{69}{4}$

Option 3: $\frac{7}{4}$

Option 4: $-\frac{7}{4}$

Question : If $\sin A=\frac{2}{3}$, then find the value of (7 – tan A)(3 + cos A).

Option 1: $\frac{61}{3}+\frac{17}{3 \sqrt{5}}$

Option 2: $\frac{61}{3 \sqrt{5}}+\frac{17}{3}$

Option 3: $\frac{61}{3}+\frac{17}{\sqrt{5}}$

Option 4: $\frac{61}{3}-\frac{17}{3 \sqrt{5}}$