Question : If $x\left(3-\frac{2}{x}\right)=\frac{3}{x}$, then the value of $x^3-\frac{1}{x^3}$ is equal to:

Option 1: $\frac{8}{27}$

Option 2: $\frac{61}{27}$

Option 3: $\frac{62}{27}$

Option 4: $\frac{52}{27}$

Question : Direction: If, 6 x 4= 12
4 x 12= 24
12 x 6= 36 then 6 x 9= ?

Option 1: 35

Option 2: 24

Option 3: 27

Option 4: 31

Question : If $x+\frac{1}{x}=2$, then the value of $x^{2}+\frac{1}{x^{6}}$ is equal to:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: 3

Question : If $2x-5y=5$ and $2x-y=9$, then $(x-y)$ is equal to:

Option 1: 2

Option 2: 4

Option 3: 6

Option 4: 3

Question : If $x+\frac{1}{x}=1$, then the value of $x^{12}+x^9+x^6+x^3+1$ is:

Option 1: 1

Option 2: - 1

Option 3: 0

Option 4: - 2