Multiple choice

The L.C.M. and H.C.F. of two numbers are 240 and 12, respectively. If one of the numbers is 60, find the other number.

  1. 96

  2. 48

  3. 24

  4. 12
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B Correct answer
Explanation

Let x be the second number. H.C.F. $\times$ L.C.M. = Product of two numbers 12 $\times$ 240 = 60 $\times$ x $\Rightarrow$ x = $\frac{240 \times 12}{60}$ = 48

AI explanation

For any two numbers, the product of the LCM and HCF equals the product of the numbers themselves: LCM x HCF = 240 x 12 = 2880. Dividing this by the known number, 60, gives the other number: 2880 / 60 = 48.

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