The HCF of three numbers is 9 If they are in the ratio 1 3 5 then the numbers are ........

Quantitative Aptitude ( CCS) LCM, HCF

The HCF of three numbers is 9. If they are in the ratio 1 :3 : 5, then the numbers are

18, 54, 90

27, 81, 195

9, 27, 45

3, 9, 15

Since the numbers are in the ratio is 1 : 3 : 5, let us assume that the numbers are 9 × n, 9 × 3n and 9 × 5n, where n is any natural number.

Given, the HCF of these numbers is 9. But if we observe, the HCF of these numbers would be 9n.

Hence, 9 would be the HCF if and only if n = 1. Hence, the numbers would be:

9 × 1 = 9

9 × 3 = 27

9 × 5 = 45

Hence, option 3 is the correct answer.

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