Three numbers are in the ratio 1 : 2 : 3 and their H.C.F. is 12. Which of the following correctly denotes the numbers?

4, 8, 12

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5, 10, 15

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10, 20, 30

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12, 24, 36

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6, 12, 18

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Solution

The correct option is D
12, 24, 36

Let the required numbers be x, 2x and 3x.
Then, their H.C.F. = x. So, x = 12.
$∴$ The numbers are 12, 24 and 36.

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