Question : The LCM and HCF of the two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers.

Option 1: 65 and 85

Option 2: 55 and 85

Option 3: 65 and 75

Option 4: 60 and 80

Question : If the sum of two numbers is 60 and their HCF and LCM are 5 and 60, respectively, then the sum of the reciprocals of the numbers will be:

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

Option 2: $\frac{1}{6}$

Option 3: $\frac{1}{4}$

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

Question : The product of two numbers is 24 times the difference between these two numbers. If the sum of these numbers is 14, the larger number is:

Option 1: 9

Option 2: 8

Option 3: 7

Option 4: 10

Question : Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:

Option 1: 60

Option 2: 105

Option 3: 15

Option 4: 45

Question : The LCM of the two numbers is 44 times their HCF. The sum of the LCM and HCF is 1125. If one number is 25, then the other number is:

Option 1: 1100

Option 2: 975

Option 3: 900

Option 4: 800