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 $4x^2+y^2 = 40$ and $xy=6$, then the value of $2x-y$ is:

Option 1: 1

Option 2: 3

Option 3: 4

Option 4: 2

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

Option 1: $16 {K}^4-16 {K}^2-1$

Option 2: $8 {K}^4+4 {K}^2-1$

Option 3: $16 {K}^4-16 {K}^2+2$

Option 4: $16 {K}^4-4 {K}^2-1$

Question : If $x+\frac{1}{x}=3$, then the value of $\frac{3x^{2}-4x+3}{x^{2}-x+1}$ is:

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

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

Option 3: $\frac{5}{2}$

Option 4: $\frac{5}{3}$

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

Option 1: 16

Option 2: 14

Option 3: 12

Option 4: 20