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Representation in a local community board is based on the

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Manager
Joined: 08 Feb 2009
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Representation in a local community board is based on the [#permalink]

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30 Apr 2009, 16:10
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Representation in a local community board is based on the community’s population, with 25 board members representing the first 500,000 people, and each additional board member representing an additional 30,000 people. Is the population of the town less than 500,000?

(1) There were 23 members on the community board.
(2) If the population were three times as large, the community board would have had 51 members.

Thanks
Manager
Joined: 28 Jan 2004
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Location: India
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30 Apr 2009, 23:05
Stmt 1 - if 23 members then population need to be less then 500,000. (i m not sue whether to assume this or not.Someone pls. help)

Stmt 2 -
51 can be broken as --- 25 + 26
for 1st 25 population = 500,000
for next 26 population = 26*30,000.
So initial population can be calculated.
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Joined: 19 Aug 2006
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01 May 2009, 19:38
goldeneagle94 wrote:

Representation in a local community board is based on the community’s population, with 25 board members representing the first 500,000 people, and each additional board member representing an additional 30,000 people. Is the population of the town less than 500,000?

(1) There were 23 members on the community board.
(2) If the population were three times as large, the community board would have had 51 members.

Thanks

IMO B.

stmnt1 - nsf, as we do not know the representation ratio for population < 500k.
stmnt2 - sufficient

51 members = 25+26
25 - 500k
26*30k=780k
current population=(780k+500k)/3
Manager
Joined: 08 Feb 2009
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02 May 2009, 06:57
Its a question from Princeton Review.

The answer it says is D.

I got the answer to be B.
Manager
Joined: 19 Aug 2006
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02 May 2009, 08:07
goldeneagle94 wrote:
Its a question from Princeton Review.

The answer it says is D.

I got the answer to be B.

OK, I guess we can reasonably assume that stmnt 1 is also sufficient, because from the question stem it can be inferred that per each additional member we should add a certain number of people, and since it is given that the current number of members is 23, and that 25 members signify 500k of the population, then it can be inferred that the population is currently <500k.

Thanks for this one, it teaches something!
Re: data suff question   [#permalink] 02 May 2009, 08:07
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