Three numbers are in the ratio 5 : 6 : 7. If the product

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Three numbers are in the ratio 5 : 6 : 7. If the product of the numbers is 5670, then the greatest number is

1. 15
2. 18
3. 21
4. 28

Correct Option: C

Let the numbers be 5x, 6x and 7x respectively.
∴ 5x × 6x × 7x = 5670

⇒ x³ =	5670	= 27
	5 × 6 × 7

∴ x³ = √27 = 3
∴ The greatest number = 7x
= 7 × 3 = 21