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Chain Rule - General Aptitude

Q1:

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:

A 4

B 9

C 12

D 49

ANS:B - 9

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.