Question : If $2 x+\frac{2}{x}=5$, then the value of $\left(x^3+\frac{1}{x^3}+2\right)$ will be:

Option 1: $\frac{81}{11}$

Option 2: $\frac{81}{7}$

Option 3: $\frac{71}{8}$

Option 4: $\frac{81}{8}$

Question : If $x+\frac{1}{x}=\mathrm{\frac{K}{2}}$, then what is the value of $\frac{x^8+1}{x^4} ?$

Option 1: $\frac{\mathrm{K}^4-16 \mathrm{~K}^2+32}{16}$

Option 2: $\frac{\mathrm{K}^4-8 \mathrm{~K}^2-36}{32}$

Option 3: $\frac{\mathrm{K}^4-8 \mathrm{~K}^2-32}{16}$

Option 4: $\frac{\mathrm{K}^4-8 \mathrm{~K}^2+32}{16}$

Question :  If $x^2+\frac{1}{x^2}=7$, then what is the value of $x^3+\frac{1}{x^3}$?

Option 1: 9

Option 2: 18

Option 3: 27

Option 4: 36

Question : If $x+\frac{1}{x}=3$, then the value of $\frac{3x^{2}-4x+3}{x^{2}-x+1}$ is:

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

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

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

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

Question : If $\frac{x^2-1}{x}=8$, then what is the value of $\frac{x^6-1}{x^3}=?$

Option 1: 496

Option 2: 536

Option 3: 512

Option 4: 488