Question : If $4x–7y=3$ and $2x–y=9$, then the value of $(x–y)$ is:

Option 1: 3

Option 2: 4

Option 3: 5

Option 4: 6

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 $\frac{x}{2}-\frac{\left [4\left (\frac{15}{2}-\frac{x}{3} \right ) \right ]}{3} = –\frac{x}{18}$ 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 $x+\frac{1}{x}=1$, 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

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

Option 1: 9

Option 2: –9

Option 3: 1

Option 4: 2