Question : The LCM of the two numbers is 660 and their HCF is 5. If one of the numbers is 55, find the other.
Option 1: 275
Option 2: 12
Option 3: 110
Option 4: 60
Correct Answer: 60
Solution : Given: LCM = 660 HCF = 5 One of the numbers = 55 Let the other number be a. We know that, LCM × HCF = product of two numbers ⇒ 660 × 5 = 55 × a ⇒ a = 60 Hence, the correct answer is 60.
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Question : The ratio of two numbers is 3 : 4 and their HCF is 5. Their LCM is:
Option 1: 10
Option 2: 60
Option 3: 15
Option 4: 12
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 : The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively.
Option 1: 46 and 230
Option 2: 48 and 240
Option 3: 64 and 320
Option 4: 56 and 280
Question : The LCM of the two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.
Option 1: 120
Option 2: 112
Option 3: 105
Option 4: 84
Question : The ratio of the two numbers is 4 : 5, and their HCF is 3. What is their LCM?
Option 1: 48
Option 2: 80
Option 3: 60
Option 4: 36
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