Question : What is the value of $\frac{1+x}{1-x^{4}}\div \frac{x^{2}}{1+x^{2}}\times x(1-x)\; ?$

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

Option 2: $x^2-1$

Option 3: $x+1$

Option 4: $x$

Question : The value of $4 \div 12$ of $[3 \div 4$ of $\{(4-2) \times 6 \div 2\}]-2 \times 6 \div 8+3$ is:

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

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

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

Option 4: $7 \frac{1}{6}$

Question : Let $x=\frac{5 \frac{3}{4}-\frac{3}{7} \times 15 \frac{3}{4}+2 \frac{2}{35} \div 1 \frac{11}{25}}{\frac{3}{4} \div 5 \frac{1}{4}+5 \frac{3}{5} \div 3 \frac{4}{15}}$. When $y$ is added to $x$, the result is $\frac{7}{13}$. What is the value of $y$?

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

Option 2: $\frac{9}{13}$

Option 3: $\frac{2}{13}$

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

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: $\frac{53}{60}$

Question : The value of $\left(2 \frac{6}{7}\right.$ of $\left.4 \frac{1}{5} \div \frac{2}{3}\right) \times 5 \frac{1}{9} \div\left(\frac{3}{4} \times 2 \frac{2}{3}\right.$ of $\left.\frac{1}{2} \div \frac{1}{4}\right)$ is:

Option 1: 25

Option 2: 19

Option 3: 23

Option 4: 21

Question : What is the value of $\frac{3}{2} \div \frac{1}{7} \times[(\frac{1}{2} - \frac{1}{3}) \div \frac{1}{42}]?$

Option 1: $72 \frac{1}{3}$

Option 2: $73 \frac{1}{2}$

Option 3: $72 \frac{1}{2}$

Option 4: $71 \frac{2}{3}$