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

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

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

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

Option 4: $\frac{1}{5}$

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\:-\:y)}{(5x\:+\:y)}=\frac{3}{7},$ what is the value of $\frac{(4x^{2}\:+\:y^{2}\:–\:4xy)}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$?

Option 1: $0$

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

Option 3: $\frac{18}{49}$

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

Question : If $6088x=7610$, then value of $x$ is:

Option 1: $\frac{5}{4}$

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

Option 3: $\frac{6}{7}$

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