Question : Find the value of $\cos \left(-\frac{7 \pi}{2}\right)$.

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

Option 2: $1$

Option 3: $-1$

Option 4: $0$

Question : The value of $\left[1 \frac{2}{7} \times\left\{3 \frac{1}{2} \div\left(\frac{1}{2}-\frac{1}{7}\right)\right\}\right] \div\left(4 \frac{1}{5} \times 1 \frac{1}{2}\right)$ is:

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

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

Option 3: $2$

Option 4: $1$

Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}-\left(5 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:

Option 1: $\frac{15}{28}$

Option 2: $-2$

Option 3: $\frac{35}{24}$

Option 4: $0$

Question : The value of $\left(5 \frac{1}{4} \div \frac{3}{7}\right.$ of $\left.\frac{1}{2}\right) \div\left(5 \frac{1}{9}-7 \frac{7}{8} \div 9 \frac{9}{20}\right) \times \frac{11}{21}+\left(2 \div 2\right.$ of $\left.\frac{1}{2}\right)$ is:

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

Option 2: $3$

Option 3: $5$

Option 4: $\frac{9}{4}$

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

Option 1: 3

Option 2: 0

Option 3: 2

Option 4: 1

Question : The value of $\left(2 \cos ^2 \theta-1\right)\left[\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right]$ is:

Option 1: $2$

Option 2: $0$

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

Option 4: $1$