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22 Oct 2020, 12:20
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:28) correct
18%
(02:19)
wrong
based on 161
sessions
History
Date
Time
Result
Not Attempted Yet
If \(A : B : C = 2 : 3 : 4\), then what is the value of \(\frac{A}{B} : \frac{B}{C} : \frac{C}{A}\)?
A. 4 : 9 : 24.
B. 5 : 9 : 24.
C. 8 : 9 : 24.
D. 10 : 9 : 24.
E. 12 : 9 : 24.
A. 4 : 9 : 24.
B. 5 : 9 : 24.
C. 8 : 9 : 24.
D. 10 : 9 : 24.
E. 12 : 9 : 24.
22 Oct 2020, 16:08
Kudos
Bookmarks
\(\frac{A}{B} : \frac{B}{C} : \frac{C}{A}\) = \(\frac{2}{3} : \frac{3}{4}: 2 = 8:9:24\)
Bunuel
22 Oct 2020, 20:08
Kudos
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Bunuel
Let x be the largest common divisor for A, B and C. Then A is equal to 2x, B is equal to 3x and C is equal to 4x. ---> \(\frac{A}{B} : \frac{B}{C} : \frac{C}{A}\)=\(\frac{2x}{3x} : \frac{3x}{4x} : \frac{4x}{2x}\)=\(\frac{12*2}{3} : \frac{12*3}{4} : \frac{12*4}{2}\)=8 : 9 : 24 C)
