Question : The highest common factor and the least common multiple of the two numbers are 12 and 120, respectively. If one of the numbers is 60, then what will be the other number?Option 1: 12Option 2: 18Option 3: 20Option 4: 24

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Question : The highest common factor and the least common multiple of the two numbers are 12 and 120, respectively. If one of the numbers is 60, then what will be the other number?
Option 1: 12
Option 2: 18
Option 3: 20
Option 4: 24

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Correct Answer: 24

Solution : HCF = 12
LCM = 120
One number = 60
Let $x$ be the second number.
We know that HCF × LCM = product of two numbers
⇒ 12 × 120 = 60 × $x$
⇒ $x$ = $\frac{12 × 120}{60}$ = 24
Hence, the correct answer is 24.

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