Question : If 45% of a certain number is equal to $\frac{6}{5}$th of another number, what is the ratio between the numbers?

Option 1: 9 : 11

Option 2: 8 : 3

Option 3: 1 : 7

Option 4: 7 : 4

Question : The arrangement of the fractions $\frac{4}{3}, -\frac{2}{9}, -\frac{7}{8}, \frac{5}{12}$ in ascending order is _____.

Option 1: $–\frac{7}{8}, –\frac{2}{9}, \frac{5}{12}, \frac{4}{3}$

Option 2: $–\frac{7}{8}, –\frac{2}{9}, \frac{4}{3}, \frac{5}{12}$

Option 3: $–\frac{2}{9}, –\frac{7}{8}, \frac{5}{12}, \frac{4}{3}$

Option 4: $–\frac{2}{9}, –\frac{7}{8}, \frac{4}{3}, \frac{5}{12}$

Question : If $\left(3 y+\frac{3}{y}\right)=8$, then find the value of $\left(y^2+\frac{1}{y^2}\right)$.

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

Option 2: $4\frac{5}{6}$

Option 3: $7\frac{1}{9}$

Option 4: $9\frac{1}{9}$

Question : The next number of the sequence $\frac{1}{2},\frac{3}{4},\frac{5}{8},\frac{7}{16},........$ is:

Option 1: $\frac{10}{24}$

Option 2: $\frac{11}{32}$

Option 3: $\frac{9}{24}$

Option 4: $\frac{9}{32}$

Question : P, Q, and R are partners and invest in a business. P invests $\frac{1}{5}^{th}$ of total investments and Q invests $\frac{1}{4}^{th}$ of the total investments. What is the ratio of investments of P, Q, and R respectively?

Option 1: 4 : 8 : 11

Option 2: 4 : 5 : 11

Option 3: 4 : 7 : 11

Option 4: 4 : 5 : 9

Question : What is the difference between the largest and smallest of the given fractions?
$\frac{5}{11}, \frac{5}{7}, \frac{3}{8}, \frac{6}{13}$

Option 1: $\frac{17}{56}$

Option 2: $\frac{19}{56}$

Option 3: $\frac{1}{ 7}$

Option 4: $\frac{23}{56}$