Question : The reciprocals of the squares of the numbers 1$\frac{1}{2}$ and 1$\frac{1}{3}$ are in the ratio:

Option 1: 64 : 81

Option 2: 8 : 9

Option 3: 81 : 64

Option 4: 9 : 85

Question : Choose the option in which the numbers are in the correct ascending order.

Option 1: $\frac{4}{5}, \frac{2}{3}, \frac{1}{11}$ and $\frac{2}{9}$

Option 2: $\frac{1}{11}, \frac{2}{9}, \frac{2}{3}$ and $\frac{4}{5}$

Option 3: $\frac{2}{9}, \frac{1}{11}, \frac{4}{5}$ and $\frac{2}{3}$

Option 4: $\frac{2}{3}, \frac{4}{5}, \frac{1}{11}$ and $\frac{2}{9}$

Question : The sum of the two numbers is 18 and their HCF and LCM are 3 and 54, respectively. What will be the sum of their reciprocals?

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

Option 2: $\frac{1}{11}$

Option 3: $\frac{1}{6}$

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

Question : If $a: b: c=\frac{1}{4}: \frac{1}{3}: \frac{1}{2}$, then $\frac{a}{b}: \frac{b}{c}: \frac{c}{a}=$?

Option 1: 12 : 9 : 8

Option 2: 9 : 8 : 24

Option 3: 8 : 9 : 24

Option 4: 9 : 12 : 8

Question : The value of $\frac{3}{70}+\frac{1}{42}+\frac{1}{66}+\frac{3}{286}+\frac{1}{130}+\frac{1}{170}$ is:

Option 1: $\frac{7}{85}$

Option 2: $\frac{11}{85}$

Option 3: $\frac{9}{85}$

Option 4: $\frac{3}{85}$

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