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# Which of the answer choices properly lists the following in

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16 Jul 2003, 02:13
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Difficulty:

(N/A)

Question Stats:

100% (00:41) correct 0% (00:00) wrong based on 20 sessions

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Which of the answer choices properly lists the following in increasing order from left to right (all roots are positive):

3rd root of 2, 6th root of 5, 10th root of 10, 15th root of 30.

(A) 3rd root of 2, 6th root of 5, 10th root of 10, 15th root of 30.
(B) 10th root of 10, 15th root of 30, 3rd root of 2, 6th root of 5
(C) 10th root of 10, 3rd root of 2, 6th root of 5, 15th root of 30
(D) 15th root of 30, 3rd root of 2, 10th root of 10, 6th root of 5
(E) 15th root of 30, 10th root of 10, 3rd root of 2, 6th root of 5

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AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
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16 Jul 2003, 03:36
6
1
Okies make a common base,

LCM is 30.

So, the first one becomes (1024)^1/30.

Second one becomes, (3125)^1/30

Third one becomes, (1000)^1/30.

Fourth one becomes, (900)^1/30.

So the least is fourth one.

GMAT Instructor
Joined: 07 Jul 2003
Posts: 725
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

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16 Jul 2003, 03:58
evensflow wrote:
Okies make a common base,

LCM is 30.

So, the first one becomes (1024)^1/30.

Second one becomes, (3125)^1/30

Third one becomes, (1000)^1/30.

Fourth one becomes, (900)^1/30.

So the least is fourth one.

Exactly the proper approach. Very nicely done.
_________________
Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993
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Joined: 09 Sep 2013
Posts: 11655
Re: Which of the answer choices properly lists the following in  [#permalink]

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02 Oct 2018, 14:41
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Re: Which of the answer choices properly lists the following in   [#permalink] 02 Oct 2018, 14:41
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