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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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Joined: 03 Jul 2003
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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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New post 12 Dec 2003, 16:07
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Is 5^k less than 1,000?
(1) 5^(k-1) > 3000
(2) 5^(k-1) = 5^k - 500

Kudos [?]: 106 [0], given: 0

Manager
Manager
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Joined: 12 Oct 2003
Posts: 247

Kudos [?]: 7 [0], given: 0

Location: USA
 [#permalink]

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New post 12 Dec 2003, 16:23
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

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Director
Director
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Joined: 13 Nov 2003
Posts: 957

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Location: Florida
 [#permalink]

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New post 12 Dec 2003, 20:27
agree with the answer and the adopted method.

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CEO
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Joined: 15 Aug 2003
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Re: G+ DS-17-20 [#permalink]

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New post 13 Dec 2003, 00:07
kpadma 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?

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Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE
Re: G+ DS-17-20 [#permalink]

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New post 17 Dec 2003, 02:04
praetorian123 wrote:
kpadma 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

Kudos [?]: 240 [0], given: 0

Re: G+ DS-17-20   [#permalink] 17 Dec 2003, 02:04
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