Question : If $x+\frac{1}{x}=2$, then find the value of $x^5+\frac{1}{x^5}$.

Option 1: 1

Option 2: 3

Option 3: 4

Option 4: 2

Question : If $\frac{x}{y}=\frac{4}{5}$, then the value of $(\frac{4}{7}+\frac{2y–x}{2y+x})$ is:

Option 1: $\frac{3}{7}$

Option 2: $1\frac{1}{7}$

Option 3: $1$

Option 4: $2$

Question : If $x+\frac{2}{x}=1$, then the value of $\frac{x^2+7x+2}{x^2+13x+2}$ is:

Option 1: $\frac{5}{7}$

Option 2: $\frac{3}{7}$

Option 3: $\frac{4}{7}$

Option 4: $\frac{2}{7}$

Question : If $4(x+5)-3>6-4x\geq x-5$, then the value of $x$ is:

Option 1: –2

Option 2: –1

Option 3: 3

Option 4: 4

Question : If $2x+\frac{1}{4x}=1$, then the value of $x^{2}+\frac{1}{64x^{2}}$ is:

Option 1: $0$

Option 2: $1$

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

Option 4: $2$