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A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, then the number of revolutions mad by the larger wheel is:

4
9
12
49

Correct Answer: 9

Explanation:

Let the required number of revolutions made by larger wheel be x

Then, More cogs, Less revolutions (Indirect Proportion)

∴ 14 : 6 :: 21 : x ⟺ 14 x x = 6 x 21

⟹ x =	6 x 21
	14

⟹ x = 9.

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