Question : The difference between the 38% of a number and 22% of that number is 3200. What is the $15 \frac{1}{2}$% of that number?

Option 1: 3100

Option 2: 3200

Option 3: 3000

Option 4: 2800

Question : What is the simplified value of
$\left(1-\frac{1}{4-\frac{2}{1+\frac{1}{\frac{1}{3}+2}}}\right) \times \frac{15}{16} \div \frac{2}{3}$ of $2 \frac{1}{4}-\frac{3+4}{3^3+4^3}$

Option 1: $\frac{5}{13}$

Option 2: $\frac{4}{13}$

Option 3: $\frac{8}{13}$

Option 4: $\frac{6}{13}$

Question : Given that A and B are second quadrant angles, $\sin A = \frac{1}{3}$ and $\sin B = \frac{1}{5}$, then find the value of $\cos(A-B)$.

Option 1: $\frac{4 \sqrt{3}+1}{15}$

Option 2: $\frac{8 \sqrt{3}-1}{15}$

Option 3: $\frac{8 \sqrt{3}+1}{15}$

Option 4: $\frac{4 \sqrt{3}-1}{15}$

Question : The value of $\frac{1 \frac{1}{2} \div 3 \frac{1}{4}+\frac{1}{2} \div \frac{13}{14}+\frac{1}{5}}{\frac{1}{5} \times 3 \frac{1}{2}-\frac{1}{3} \div 1 \frac{3}{4} \times 3 \frac{1}{2}}$ is:

Option 1: 33

Option 2: 36

Option 3: 38

Option 4: 40

Question : A student was asked to find the value of $\frac{\left(2 \frac{1}{3}+2 \frac{1}{2}-\frac{1}{6}\right) \div 2 \frac{1}{3} \times 5 \frac{2}{3} \div 1 \frac{2}{3} \text { of } 4 \frac{1}{4}}{3 \frac{1}{5} \div 4 \frac{1}{2} \text { of } 5 \frac{1}{3}+5 \frac{1}{3} \times \frac{3}{4} \div 2 \frac{2}{3}}$. His answer was $\frac{6}{7}$. What is the difference between the correct answer and his answer?

Option 1: $\frac{9}{14}$

Option 2: $\frac{5}{14}$

Option 3: $\frac{11}{49}$

Option 4: $\frac{6}{49}$

Question : The value of $\frac{2}{3} \div \frac{3}{10}$ of $\frac{4}{9}-\frac{4}{5} \times 1 \frac{1}{9} \div \frac{8}{15}+\frac{3}{4} \div \frac{1}{2}$ is:

Option 1: $\frac{29}{6}$

Option 2: $\frac{17}{9}$

Option 3: $\frac{14}{3}$

Option 4: $\frac{49}{12}$