Question : If LCM of two numbers is 72 and their product is 1728 , then what is the HCF of the numbers?
Option 1: 1
Option 2: 18
Option 3: 24
Option 4: 12
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Correct Answer: 24
Solution : Product of LCM and HCF of two numbers = Product of two numbers So, 72 × HCF = 1728 ⇒ HCF = 24 Hence, the correct answer is 24.
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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 product of the two numbers is 6552 and their HCF is 6. What is the LCM of those numbers?
Option 1: 1024
Option 2: 1224
Option 3: 1084
Option 4: 1092
Question : Two numbers are in the ratio of 3 : 5. If their HCF is 8, then find the numbers.
Option 1: 36 and 60
Option 2: 12 and 20
Option 3: 48 and 80
Option 4: 24 and 40
Question : Two numbers are in the ratio 11 : 6. If their HCF is 4, find the smallest number.
Option 1: 30
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