Question : What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?
Option 1: 1 : 4
Option 2: 1 : 6
Option 3: 1 : 3
Option 4: 2 : 5
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Correct Answer: 1 : 6
Solution : Let the HCF be a. We know that, HCF × LCM = Product of two numbers ⇒ 48 × a = 384 $\therefore$ a = 8 $\therefore$ HCF : LCM = 8 : 48 = 1 : 6 Hence, the correct answer is 1 : 6.
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