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 ratio of two positive numbers is 3 : 4. The sum of their squares is 400. What is the sum of the numbers?

Option 1: 28

Option 2: 22

Option 3: 24

Option 4: 26

Question : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, then the sum of the squares of the numbers is:

Option 1: 120

Option 2: 126

Option 3: 132

Option 4: 138

Question : The sum of the cubes of two numbers is 793. The sum of the numbers is 13. Then the difference between the two numbers is:

Option 1: 7

Option 2: 6

Option 3: 5

Option 4: 8

Question : The reciprocal of the sum of the reciprocals of $\frac{6}{5}$ and $\frac{3}{7}$ is:

Option 1: $\frac{57}{18}$

Option 2: $\frac{35}{57}$

Option 3: $\frac{6}{19}$

Option 4: $\frac{57}{35}$