Question : The ratio of the LCM of two numbers to the sum of the same two numbers is 12 : 7. If their HCF is 4, what is the product of these two numbers?

Option 1: 192

Option 2: 172

Option 3: 196

Option 4: 169

Question : The LCM of the two numbers is 4 times their HCF. The sum of LCM and HCF is 125. If one of the numbers is 100, then the other number is:

Option 1: 5

Option 2: 25

Option 3: 100

Option 4: 125

Question : The sum of the two numbers is 45. Their HCF and LCM are 5 and 70 respectively. Find the sum of the reciprocal of the two numbers.

Option 1: $\frac{9}{70}$

Option 2: $\frac{3}{140}$

Option 3: $\frac{4}{35}$

Option 4: $\frac{3}{16}$

Question : Two numbers are in the ratio 11 : 6. If their HCF is 4, find the smallest number.

Option 1: 30

Option 2: 18

Option 3: 24

Option 4: 12

Question : The product of two positive numbers is 240. If the ratio of the two numbers is 3 : 5, then what is the sum of the two numbers?

Option 1: 46

Option 2: 45

Option 3: 32

Option 4: 42