Question : Which of the following is correct?

Option 1: $\frac{2}{3}< \frac{3}{5}< \frac{11}{15}$

Option 2: $\frac{3}{5}< \frac{2}{3}< \frac{11}{15}$

Option 3: $\frac{11}{15}< \frac{3}{5}< \frac{2}{3}$

Option 4: $\frac{3}{5}< \frac{11}{15}< \frac{2}{3}$

Question : Three numbers are in the ratio $\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$. If the difference between the greatest number and the smallest number is 33, then the HCF of the three numbers is:

Option 1: 9

Option 2: 5

Option 3: 13

Option 4: 11

Question : If $3\sqrt{\frac{1-a}{a}}+9=19-3\sqrt{\frac{a}{1-a}};$ then, what is the value of $a?$

Option 1: $\frac{3}{10}$ and $\frac{7}{10}$

Option 2: $\frac{1}{10}$ and $\frac{9}{10}$

Option 3: $\frac{2}{5}$ and $\frac{3}{5}$

Option 4: $\frac{1}{5}$ and $\frac{4}{5}$

Question : Which of the following is the smallest ratio?
$\frac{5}{6}, \frac{7}{9}, \frac{11}{12}, \frac{13}{18}$

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

Option 2: $\frac{13}{18}$

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

Option 4: $\frac{11}{12}$

Question : Which fraction among the following is the least?
$\frac{5}{11}, \frac{7}{12}, \frac{8}{13}, \frac{9}{17}$

Option 1: $\frac{5}{11}$

Option 2: $\frac{7}{12}$

Option 3: $\frac{9}{17}$

Option 4: $\frac{8}{13}$