Question : If the numerator of a fraction is increased by 60% and the denominator is increased by 40%, then the resultant fraction is $\frac{16}{63}$. The original fraction is:

Option 1: $\frac{5}{9}$

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

Option 3: $\frac{2}{11}$

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

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 : The greatest fraction among $\frac{2}{3}, \frac{5}{6}, \frac{11}{15} \text{ and } \frac{7}{8} \text{ is:}$

Option 1: $\frac{7}{8}$

Option 2: $\frac{11}{15}$

Option 3: $\frac{5}{6}$

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

Question : What is the HCF of $\frac{4}{5}, \frac{6}{8}, \frac{8}{25}?$

Option 1: $\frac{1}{100}$

Option 2: $\frac{1}{5}$

Option 3: $\frac{1}{50}$

Option 4: $\frac{1}{200}$

Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:

Option 1: $2 \frac{3}{20}$

Option 2: $1\frac{2}{20}$

Option 3: $1 \frac{3}{20}$

Option 4: $1 \frac{7}{20}$