Question : If $x=(\sqrt[3]{7})^{3}+3$, then the value of $x^3–9x^2+27x–34$ is:

Option 1: 0

Option 2: 1

Option 3: 2

Option 4: –1

Question : If $x^2-7x+1=0$, what is the value of $(x+\frac{1}{x})$.

Option 1: 7

Option 2: 3

Option 3: 51

Option 4: 47

Question : If a³ + b³ = 217 and a + b = 7, then the value of ab is:

Option 1: – 6

Option 2: – 1

Option 3: 7

Option 4: 6

Question : If the sum of $\frac{a}{b}$ and its reciprocal is 1 and $a\neq 0,b\neq 0$, then the value of $a^{3}+b^{3}$ is:

Option 1: 2

Option 2: –1

Option 3: 0

Option 4: 1

Question : If $a^{2}+b^{2}+c^{2}=ab+bc+ca,$ then the value of $\frac{a+c}{b}$ is:

Option 1: 3

Option 2: 2

Option 3: 0

Option 4: 1