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fractions puzzle

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Manager
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fractions puzzle [#permalink] New post 25 Oct 2010, 01:12
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

83% (01:39) correct 17% (00:16) wrong based on 6 sessions
If A:B is 2:3 and B:C is 3:4 then A:C is equal to
a) 2:3
b) 6:7
c) 5:6
d) 1:2
e) 3:4
[Reveal] Spoiler: OA
Manager
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Re: fractions puzzle [#permalink] New post 25 Oct 2010, 02:20
Since A:B = 2:3 and B:C = 3:4,

We can deduce that A:B:C = 2:3:4

So, A:C = 2:4 = 1:2.

D is the correct answer.

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Re: fractions puzzle [#permalink] New post 25 Oct 2010, 02:26
feruz77 wrote:
If A:B is 2:3 and B:C is 3:4 then A:C is equal to
a) 2:3
b) 6:7
c) 5:6
d) 1:2
e) 3:4


It's a simple question.
The two ratios given are having the same number 3 for B in both the ratios.
Hence- A:B = 2:3 & B:C = 3:4
=> A:C = 2:4 => 1:2. (D)

The question could have a different number also for B in both the ratios given.
For example: A:B = 2:3 & B:C = 4:5
In that case you need to normalize both the ratios so that the common entity (B here) have the same number, so as to come up with the ratio A:C.
In this case, multiply the first (A:B) with 4 => A:B = 8:12
and multiply the second (B:C) with 3 => B:C = 12:15
Hence A:C = 8:15
Remember- multiplying a ratio with a same number does not impact it.
becasue A:B = 2:3 essentially is A/B = 2/3 and 2/3 can be re-written as (2*4)/(3*4) = 8/12.
Re: fractions puzzle   [#permalink] 25 Oct 2010, 02:26
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