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 : If $x=(\sqrt{6}-1)^{\frac{1}{3}}$, then the value of $\left(x-\frac{1}{x}\right)^3+3\left(x-\frac{1}{x}\right)$ is:

Option 1: $\frac{2 \sqrt{6}-6}{5}$

Option 2: $\frac{4 \sqrt{6}-6}{5}$

Option 3: $\frac{4 \sqrt{6}-6}{3}$

Option 4: $\frac{4 \sqrt{3}-6}{5}$

Question : What is the value of $\frac{\frac{5}{6} \text { of } \frac{1}{3} \times \frac{12}{25}-\frac{1}{3} \text { of } \frac{5}{6} \times \frac{18}{25}}{\frac{25}{12} \text { of } \frac{1}{6} \times \frac{2}{5}+\frac{3}{8} \text { of } \frac{12}{25} \times \frac{5}{6}}$?

Option 1: $-\frac{3}{13}$

Option 2: $-\frac{5}{13}$

Option 3: $-\frac{8}{25}$

Option 4: $-\frac{3}{25}$

Question : What is the value of $\frac{7 \text { of } 14 ÷ 4}{5 × 4 ÷ 2}+\frac{6 ÷ 12 × 3}{5 ÷ 25 × 2}+\frac{15 ÷ 5 × 6}{5× 15 ÷ 6}$?

Option 1: 7.44

Option 2: 7.64

Option 3: 7.62

Option 4: 7.22

Question : The value of exponential form of $\sqrt{\sqrt{2}\sqrt{3}}$ is:

Option 1: $6$

Option 2: $6^{\frac{1}{2}}$

Option 3: $6^{-\frac{1}{2}}$

Option 4: $6^{\frac{1}{4}}$