Aptitude Question ID : 93616

If A : B : C = 2 : 3 : 4, Then ratio \frac{A}{B}:\frac{B}{C}:\frac{C}{A} is equal to :
[A]4 : 9 : 16
[B]8 : 9 : 24
[C]8 : 9 : 12
[D]8 : 9 : 16

8 : 9 : 24
A : B : C = 2 : 3 : 4
\therefore \frac{A}{B} = \frac{2}{3}, \frac{B}{C} = \frac{3}{4}, \frac{C}{A} = \frac{4}{2} = 2
\therefore \frac{A}{B}:\frac{B}{C}:\frac{C}{A}= \frac{2}{3}:\frac{3}{4}:\frac{2}{1}
= 8 : 9 : 24
Hence option [B] is the right answer.

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