Question : If $x=\frac{6pq}{p+q}$, then the value of $\frac{x+3p}{x–3p}+\frac{x+3q}{x–3q}$ is:

Option 1: 6

Option 2: 8

Option 3: 2

Option 4: 3

Question : If $\frac{x}{2}-\frac{\left [4\left (\frac{15}{2}-\frac{x}{3} \right ) \right ]}{3} = –\frac{x}{18}$ then what is the value of $x$?

Option 1: –$10$

Option 2: $\frac{9}{8}$

Option 3: $10$

Option 4: $–\frac{9}{8}$

Question : If $(x+\frac{1}{x})^2=3$, then what is the value of $x^6 + x^{–6}$?

Option 1: 6

Option 2: 2

Option 3: –6

Option 4: –2

Question : If $\frac{1}{6}$ of $x$ – $\frac{7}{2}$ of $\frac{3}{7}$ equals to $(-\frac{7}{4})$, then the value of $x$ is:

Option 1: –1.5

Option 2: –3

Option 3: –2.5

Option 4: 6

Question : If $x-\frac{1}{x}=5, x \neq 0$, then what is the value of $\frac{x^6+3 x^3-1}{x^6-8 x^3-1} ?$

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

Option 2: $\frac{13}{12}$

Option 3: $\frac{4}{9}$

Option 4: $\frac{11}{13}$

Question : If $\frac{x}{8}+\frac{8}{x}=1$, then the value of $x^3$ is:

Option 1: – 256

Option 2: – 512

Option 3: 256

Option 4: 512