Question : $(1-\frac{1}{5})(1-\frac{1}{6})(1-\frac{1}{7}).......(1-\frac{1}{100})$ is equal to:

Option 1: $0$

Option 2: $\frac{1}{25}$

Option 3: $\frac{1}{100}$

Option 4: $\frac{1}{50}$

Question : The value of $6 \frac{8}{15}÷\frac{7}{9}$ of $\left(1 \frac{1}{10}+5 \frac{1}{5}\right)+\frac{2}{5}÷7 \frac{1}{5}$ is:

Option 1: $\frac{25}{16}$

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

Option 3: $\frac{25}{18}$

Option 4: $\frac{5}{18}$

Question : Find the value of the following expression.
$\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}$

Option 1: $5 \frac{22}{43}$

Option 2: $3 \frac{23}{67}$

Option 3: $4 \frac{44}{85}$

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

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 : The value of $\frac{2}{3} \div \frac{3}{10}$ of $\frac{4}{9}-\frac{4}{5} \times 1 \frac{1}{9} \div \frac{8}{15}-\frac{3}{4}+\frac{3}{4} \div \frac{1}{2}$ is:

Option 1: $\frac{25}{6}$

Option 2: $\frac{14}{3}$

Option 3: $\frac{17}{9}$

Option 4: $\frac{49}{12}$