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# Each of a, b, and c is positive. Does b = root(ac)

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Intern
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Joined: 13 May 2013
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Each of a, b, and c is positive. Does b = root(ac)  [#permalink]

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Updated on: 29 Aug 2013, 12:55
1
00:00

Difficulty:

15% (low)

Question Stats:

82% (00:47) correct 18% (01:09) wrong based on 71 sessions

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Each of a, b, and c is positive. Does $$b = \sqrt{ac}$$?

(1) $$\frac{a}{b} = \frac{b}{c}$$
(2) $$\frac{1}{b^3} = \frac{1}{abc}$$

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Originally posted by reliablevish on 29 Aug 2013, 12:51.
Last edited by Bunuel on 29 Aug 2013, 12:55, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 02 Sep 2009
Posts: 52390
Re: Each of a, b, and c is positive. Does b = root(ac)  [#permalink]

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29 Aug 2013, 12:58
Each of a, b, and c is positive. Does $$b = \sqrt{ac}$$?

(1) $$\frac{a}{b} = \frac{b}{c}$$. Cross-multiply: $$b^2=ac$$ --> $$b = \sqrt{ac}$$. Sufficient.

(2) $$\frac{1}{b^3} = \frac{1}{abc}$$. Cross-multiply: $$b^3=abc$$ --> reduce by b: $$b^2=ac$$. Sufficient.

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Re: Each of a, b, and c is positive. Does b = root(ac)  [#permalink]

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29 Mar 2017, 05:10
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: Each of a, b, and c is positive. Does b = root(ac) &nbs [#permalink] 29 Mar 2017, 05:10
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