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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
Joined: 03 Jul 2003
Posts: 651

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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, 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
Joined: 12 Oct 2003
Posts: 247

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

Location: USA

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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

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

Director
Joined: 13 Nov 2003
Posts: 957

Kudos [?]: 178 [0], given: 0

Location: Florida

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12 Dec 2003, 20:27

Kudos [?]: 178 [0], given: 0

CEO
Joined: 15 Aug 2003
Posts: 3452

Kudos [?]: 926 [0], given: 781

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13 Dec 2003, 00:07
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?

Kudos [?]: 926 [0], given: 781

GMAT Instructor
Joined: 07 Jul 2003
Posts: 769

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Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

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17 Dec 2003, 02:04
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

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

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