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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