Question : The simplified value of $(0.2)^{3}\times 200\div 2000$ of $(0.2)^{2}$ is:

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

Option 2: $\frac{1}{50}$

Option 3: $\frac{1}{10}$

Option 4: $1$

Question : What is the value of $\frac{15 \div 5 \times 3-12 \times 12 \div 6+15 \div 5 \times 6}{18 \div 3 \times 5-12 \div 6 \times 5+18 \div 9 \times 5} ?$

Option 1: $\frac{1}{20}$

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

Option 3: $\frac{1}{15}$

Option 4: $\frac{1}{10}$

Question : What is the value of $\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$?

Option 1: $4$

Option 2: $\frac{13}{4}$

Option 3: $\frac{15}{4}$

Option 4: $\frac{9}{2}$

Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:

Option 1: $1 \frac{3}{5}$

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

Option 3: $1 \frac{4}{7}$

Option 4: $2 \frac{3}{7}$

Question : Find the value of the given expression:
$\frac{(4\frac{1}{3}+3\frac{1}{3}\times 1\frac{4}{5}\div 3\frac{3}{4}\times (1\frac{1}{2}+1\frac{1}{3}))}{(\frac{2}{3}\div \frac{5}{6}\times \frac{2}{3})}$

Option 1: $11 \frac{3}{8}$

Option 2: $10\frac{1}{8}$

Option 3: $14\frac{3}{8}$

Option 4: $16\frac{5}{8}$

Question : The simplified value of the following is:
$\left (\frac{3}{15}a^{5}b^{6}c^{3}\times \frac{5}{9}ab^{5}c^{4} \right )\div \frac{10}{27}a^{2}bc^{3}$.

Option 1: $\frac{9a^{2}bc^{4}}{10}$

Option 2: $\frac{3ab^{4}c^{3}}{10}$

Option 3: $\frac{3a^{4}b^{10}c^{4}}{10}$

Option 4: $\frac{1a^{4}b^{4}c^{10}}{10}$