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

Option 1: 45

Option 2: 18

Option 3: 52

Option 4: 49

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

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 $\frac{x}{2}-\frac{\left [4\left (\frac{15}{2}-\frac{x}{3} \right ) \right ]}{3} = –\frac{x}{18}$ then what is the value of $x$?

Option 1: –$10$

Option 2: $\frac{9}{8}$

Option 3: $10$

Option 4: $–\frac{9}{8}$

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 $(x-\frac{1}{3x})=\frac{1}{3}$, then the value of $3(x-\frac{1}{3x})$ is:

Option 1: –1

Option 2: –2

Option 3: 1

Option 4: 2