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 : The reciprocal of the sum of the reciprocals of $\frac{2}{9}$ and $\frac{7}{10}$ is:

Option 1:  $\frac{14}{83}$

Option 2: $\frac{83}{14}$

Option 3: $\frac{90}{83}$

Option 4: $\frac{83}{90}$

Question : If the sum of two positive numbers is 65 and the square root of their product is 26, then the sum of their reciprocals is:

Option 1: $\frac{7}{52}$

Option 2: $\frac{5}{52}$

Option 3: $\frac{1}{52}$

Option 4: $\frac{3}{52}$

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 : The sum of three fractions is $2\frac{11}{24}$. On dividing the largest faction by the smallest fraction, $\frac{7}{6}$ is obtained which is $\frac{1}{3}$ greater than the middle fraction. The smallest fraction is:

Option 1: $\frac{5}{8}$

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

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

Option 4: $\frac{3}{7}$