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
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Correct Answer: 25
Solution : Let LCM = L and HCF = H, then Given: L = 4H The sum of LCM and HCF = 125 ⇒ H + 4H = 125 ⇒ 5H = 125 ⇒ H =$\frac{125}{5}$ ⇒ H = 25 ∴ L = 4 × 25 = 100 2nd number = $\frac{L× H}{100}$ = $\frac{100× 25}{100}$ = 25 Hence, the correct answer is 25.
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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 product of LCM and HCF of two numbers is 2028. If one number is 78, then what is the other number?
Option 1: 13
Option 2: 52
Option 3: 26
Option 4: 39
Question : The HCF and LCM of the two numbers are 20 and 2880, respectively. If one of them is 180, then find the other number.
Option 1: 660
Option 2: 350
Option 3: 300
Option 4: 320
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
Question : The average of 4 numbers is 45. The average of the first two numbers is thrice the average of the other two numbers. What is the sum of the first two numbers?
Option 1: 122
Option 2: 105
Option 3: 125
Option 4: 135
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