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My argument here is that Statement-1 is insufficient here. [#permalink]

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03 Jun 2007, 20:37

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My argument here is that Statement-1 is insufficient here. Though it says that the number of members on the board is 23, the population can be equal to 500,000 also.

If the town had 25 board members, then the population is at least 500,000. Since there arn't 25 board members, we can say the population is less than 500,000.

If the town had 25 board members, then the population is at least 500,000. Since there arn't 25 board members, we can say the population is less than 500,000.

A is simple. if there are 25members there are 500K ppl. if you have 23 members you have <500K ppl.
i am more interested to see how would you solve B. (hey i know you do not have to solve it, but show me how you got to the answer that is sufficient.

If there are 51 board members you can determine exactly what the population is.

500000 (for the first 25) + (26 * 30000)
Then you can get the actual current population by dividing this figure by 3. I am not going to do the math , since all that is important here is know how would you derive the solution.

My argument here is that Statement-1 is insufficient here. Though it says that the number of members on the board is 23, the population can be equal to 500,000 also.

Please explain.

I´d say the problem is not properly worded. Some boards may have the policy to allow a varying number of representatives for a given population range, while others would have more exacting policies.

you need to be logged on as a member to see images i believe

r019h wrote:

galt wrote:

If the town had 25 board members, then the population is at least 500,000. Since there arn't 25 board members, we can say the population is less than 500,000.

(1) there were 23 members on the board.
--------------------------------------------------------
I really don't see how this can be explained. It's intuitive, common-sense ..
25 members representing the first 500,000 people. There are 23 members --> population has not yet reached the
500,000 limit.
statement 1 is sufficient

(2) if population was 3 times as large, the board would have had 51 members
---------------------------------------------------------------------------------------------------------------
51 members --> 25 for the first 500,000
51 - 25 = 26 x 30,000 = 780,000
Total population = 500k + 780k = 1,280,000 /3 < 500,000 for sure

Stmnt 1: we know the population is equal to or less than 500,000 so it is sufficient.

Stmnt 2: No point in showing math, its easy to see how this one is sufficient.

I can see where this can send alarm bells b/c on the GMAT we can't assume anything. We do know that it can't be over 500,000 if there are only 23members. Try it from this angle:

500,000/25=20000 So 1 member represents 20,000 people under the 500,000mark. So 23 would equal:460,000. So yes stmnt 1 is sufficient.