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

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

Option 2: $\frac{4}{5}$

Option 3: $\frac{5}{8}$

Option 4: $\frac{7}{8}$

Question : If $\frac{5x}{2}-\frac{[7(6x-\frac{3}{2})]}{4}=\frac{5}{8}$, then what is the value of $x$?

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

Option 2: $-\frac{1}{4}$

Option 3: $4$

Option 4: $–4$

Question : If $x=\frac{3}{2}$, then the value of $27x^{3}-54x^{2}+36x-11$ is:

Option 1: $11\frac{3}{8}$

Option 2: $11\frac{5}{8}$

Option 3: $12\frac{3}{8}$

Option 4: $12\frac{5}{8}$

Question : If $\tan A=\frac{3}{8}$, then the value of $\frac{3 \sin A+2 \cos A}{3 \sin A-2 \cos A}$ is:

Option 1: $-\frac{13}{25}$

Option 2: $-\frac{25}{7}$

Option 3: $\frac{25}{8}$

Option 4: $\frac{13}{21}$

Question : The value of $3 \frac{1}{5} \div 4 \frac{1}{2}$ of $5 \frac{1}{3}+\frac{1}{8} \div \frac{1}{2}$ of $\frac{1}{4}-\frac{1}{4}\left(\frac{1}{2} \div \frac{1}{8} \times \frac{1}{4}\right)$ is:

Option 1: $\frac{13}{15}$

Option 2: $\frac{7}{8}$

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

Option 4: $\frac{53}{60}$