Question : The value of $x$ for which the expressions $15x+4$ and $13x-2$ become equal is:

Option 1: –1

Option 2: 1

Option 3: –3

Option 4: 3

Question : Simplify $x^4- 15x^3+ 15x^2- 15x + 40$; given $x = 14$.

Option 1: 0

Option 2: 40

Option 3: 14

Option 4: 26

Question : The value of $(x^{\frac{1}{3}}+x^{-\frac{1}{3}})(x^{\frac{2}{3}}-1+x^{-\frac{2}{3}})$ is:

Option 1: $x^{-1}+x^{\frac{2}{3}}$

Option 2: $x+x^{-\frac{1}{3}}$

Option 3: $x^{\frac{1}{3}}+x^{–1}$

Option 4: $x+x^{–1}$

Question : If $(x+\frac{1}{x})=–2$, then the value of $(x^7+\frac{1}{x^7})$ is:

Option 1: 1

Option 2: –1

Option 3: 0

Option 4: –2

Question : If $x=\sqrt{–\sqrt{3}+\sqrt{3+8 \sqrt{7+4 \sqrt{3}}}}$ where $x > 0$, then the value of $x$ is equal to:

Option 1: 3

Option 2: 4

Option 3: 1

Option 4: 2

Question : If $x+ \frac{1}{x} =2$, then the value of $({x}^{99}+ \frac{1}{x^{99}} –2)$ is:

Option 1: –2

Option 2: 0

Option 3: 2

Option 4: 4