Question : The value of $\frac{\sqrt{0.6912}+\sqrt{0.5292}}{\sqrt{0.6912}-\sqrt{0.5292}}$ is:

Option 1: 15

Option 2: 1.5

Option 3: 0.9

Option 4: 9

Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$, what is the value of $(x^3+\frac{1}{x^3})$?

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

Option 2: $\frac{3\sqrt{15}}{5}$

Option 3: $\frac{3\sqrt{15}}{8}$

Option 4: $\frac{3\sqrt{5}}{8}$

Question : Given that A and B are second quadrant angles, $\sin A = \frac{1}{3}$ and $\sin B = \frac{1}{5}$, then find the value of $\cos(A-B)$.

Option 1: $\frac{4 \sqrt{3}+1}{15}$

Option 2: $\frac{8 \sqrt{3}-1}{15}$

Option 3: $\frac{8 \sqrt{3}+1}{15}$

Option 4: $\frac{4 \sqrt{3}-1}{15}$

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

Option 1: $\frac{29}{6}$

Option 2: $\frac{17}{9}$

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

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

Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$; then what is the value of $x+\frac{1}{x}$?

Option 1: $2$

Option 2: $\frac{\sqrt{15}}{2}$

Option 3: $\sqrt{5}$

Option 4: $\sqrt{3}$

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: $\frac{49}{12}$