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Three numbers are in the ratio 2 : 3 : 5 and their LCM is 90. What is their HCF?

1. 9
2. 1
3. 6
4. 3

Correct answer: 3

Solution

Let HCF = x; then the three numbers are 2x, 3x, and 5x. Their LCM = 30x. Setting 30x = 90 gives x = 3, so HCF = 3.

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