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A quantity increases in a manner such that the ratio of its values in

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Manager
Joined: 26 Feb 2015
Posts: 115
A quantity increases in a manner such that the ratio of its values in  [#permalink]

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03 Mar 2015, 07:03
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Question Stats:

78% (00:25) correct 22% (00:40) wrong based on 24 sessions

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A quantity increases in a manner such that the ratio of its values in any two consecutive years is constant. If the quantity doubles every 6 years, by what factor does it increase in two years?

OA:
$$\sqrt[3]{2}$$
Manager
Status: Gmat Prep
Joined: 22 Jul 2011
Posts: 74
Re: A quantity increases in a manner such that the ratio of its values in  [#permalink]

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03 Mar 2015, 08:11
let the initial value be x and the next year the value become x*a. second year it becomes x*a*a ans so on. Ratio of every consecutive years stays at a.
in that manner x*a^6=2*x gives a^6=2 =(a^2)^3=2

in two years value we have becomes x*a^2 , factor is given by x*a^2/x
=a^2 =2^(-3)
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Re: A quantity increases in a manner such that the ratio of its values in  [#permalink]

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26 Feb 2018, 03:40
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A quantity increases in a manner such that the ratio of its values in &nbs [#permalink] 26 Feb 2018, 03:40
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