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