Is 5^k less than 1,000? (1) 5^(k-1) > 3000 (2) 5^(k-1) = : DS Archive
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# Is 5^k less than 1,000? (1) 5^(k-1) > 3000 (2) 5^(k-1) =

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Director
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Is 5^k less than 1,000? (1) 5^(k-1) > 3000 (2) 5^(k-1) = [#permalink]

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12 Dec 2003, 15:07
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Is 5^k less than 1,000?
(1) 5^(k-1) > 3000
(2) 5^(k-1) = 5^k - 500
Manager
Joined: 12 Oct 2003
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12 Dec 2003, 15:23
D

(1) 5^(k-1) > 3000
(5^k)/(5) > 3000
5^k > 15000

(2) 5^(k-1) = 5^k - 500
5^k/5 - 5^k = -500
5^k (1/5 - 1) = -500
5^k (-4/5) = -500
5^k = -500 * -5/4
5^k = 625
Director
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12 Dec 2003, 19:27
CEO
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12 Dec 2003, 23:07
Is 5^k less than 1,000?
(1) 5^(k-1) > 3000
(2) 5^(k-1) = 5^k - 500

(1) we get 5^k > 15000 ..clearly sufficient ....

(2) we get 5^k * 4/5 = 500 so.. 5^k = 2500/4 ..sufficient

D

weird question. we should get the same "Answer" with both?
GMAT Instructor
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Schools: Haas, MFE; Anderson, MBA; USC, MSEE
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17 Dec 2003, 01:04
praetorian123 wrote:
Is 5^k less than 1,000?
(1) 5^(k-1) > 3000
(2) 5^(k-1) = 5^k - 500

(1) we get 5^k > 15000 ..clearly sufficient ....

(2) we get 5^k * 4/5 = 500 so.. 5^k = 2500/4 ..sufficient

D

weird question. we should get the same "Answer" with both?

That's not so weird of a question. This is not "advertised" but if you examine DS questions in the OG, you will NEVER find two answers that contradict each other. This is good to know for the GMAT because if you do find two answers that contradict each other, you did something wrong somewhere....
_________________

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

Re: G+ DS-17-20   [#permalink] 17 Dec 2003, 01:04
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