Question : The value of $2 \frac{3}{5} \div\left[2 \frac{1}{3} \div\left\{4 \frac{1}{3}-\left(2 \frac{1}{2}+\frac{2}{3}\right)\right\}\right]$ is equal to:

Option 1: $1 \frac{3}{10}$

Option 2: $2 \frac{7}{10}$

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

Option 4: $1 \frac{3}{7}$

Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:

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

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

Option 3: $1 \frac{4}{7}$

Option 4: $2 \frac{3}{7}$

Question : If $3x+\frac{1}{5x}=7$, then what is the value of $\frac{5x}{(15x^{2}+15x+1)}?$

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

Option 2: $\frac{1}{10}$

Option 3: $\frac{2}{5}$

Option 4: $10$

Question : If $\frac{x}{y}=\frac{4}{5}$, then the value of $(\frac{4}{7}+\frac{2y–x}{2y+x})$ is:

Option 1: $\frac{3}{7}$

Option 2: $1\frac{1}{7}$

Option 3: $1$

Option 4: $2$

Question : If $x+\frac{2}{x}=1$, then the value of $\frac{x^2+7x+2}{x^2+13x+2}$ is:

Option 1: $\frac{5}{7}$

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

Option 3: $\frac{4}{7}$

Option 4: $\frac{2}{7}$