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 : Find the value of the given expression.
3 – (– 6) {– 2 – 9 – 3} ÷ 7{1 + (– 2) (– 1)}

Option 1: –1

Option 2: 15

Option 3: 7

Option 4: 1

Question : If $A=\frac{\sqrt{0.0004} \times \sqrt[3]{0.000008}}{\sqrt[4]{16000} \times \sqrt[3]{125000} \times \sqrt[4]{810}}$ and $B=\frac{\sqrt[3]{0.729} \times \sqrt[4]{0.0016}}{\sqrt{0.16}}$, then what is $A \times B$?

Option 1: $6 \times 10^{–7}$

Option 2: $\frac{7}{4} \times 10^{–8}$

Option 3: $5 \times 10^{–8}$

Option 4: $\frac{7}{3} \times 10^{–7}$

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 $\frac{3–5x}{2x}+\frac{3–5y}{2y}+\frac{3–5z}{2z}=0$, the value of $\frac{2}{x}+\frac{2}{y}+\frac{2}{z}$ is:

Option 1: 20

Option 2: 5

Option 3: 10

Option 4: 15