Question : The value of $4 \div 12$ of $[3 \div 4$ of $\{(4-2) \times 6 \div 2\}]-2 \times 6 \div 8+3$ is:

Option 1: $4 \frac{1}{6}$

Option 2: $3 \frac{1}{3}$

Option 3: $2 \frac{1}{3}$

Option 4: $7 \frac{1}{6}$

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

Option 1: 4

Option 2: 5

Option 3: 3

Option 4: 6

Question : If $2x+\frac{1}{3x}$ = 5, then the value of $\frac{5x}{6x^{2}+20x+1}$ is:

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

Option 2: $\frac{1}{6}$

Option 3: $\frac{1}{5}$

Option 4: $\frac{1}{7}$

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

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

Option 2: $\frac{1}{6}$

Option 3: $5$

Option 4: $6$

Question : If $\frac{1}{6}$ of $x$ – $\frac{7}{2}$ of $\frac{3}{7}$ equals to $(-\frac{7}{4})$, then the value of $x$ is:

Option 1: –1.5

Option 2: –3

Option 3: –2.5

Option 4: 6