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GMAT Practice Test Quant #3 - question 3

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GMAT Practice Test Quant #3 - question 3 [#permalink] New post 11 May 2010, 15:15
Hello,

I hope someone can help me on this, because I really can't get the correct answer. On GMAT practice test Quant #3, the third question is the following data sufficiency question:

In a demographic study, the population and total income of a certain region were estimated from other data, and both estimates had lower and upper limits. At the time of the estimates, was the per capita income for the region greater than $16,500?

(1) the lower limit for the estimate of the population was 330,000 people.
(2) the lower limit for the estimate of the total income was $5,500,000,000.


My answer choice was C (Both statements), but when I reviewed all my questions, it seems that the correct answer is E (both are not sufficient). If you calculate the per capita income, using both statements, it gives that the lower possible income for this area is $16,666...., which is higher than $16,500. If this is not right, could someone explain me why?

Thank you!
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Re: GMAT Practice Test Quant #3 - question 3 [#permalink] New post 11 May 2010, 15:38
pepemelo wrote:
Hello,

I hope someone can help me on this, because I really can't get the correct answer. On GMAT practice test Quant #3, the third question is the following data sufficiency question:

In a demographic study, the population and total income of a certain region were estimated from other data, and both estimates had lower and upper limits. At the time of the estimates, was the per capita income for the region greater than $16,500?

(1) the lower limit for the estimate of the population was 330,000 people.
(2) the lower limit for the estimate of the total income was $5,500,000,000.


My answer choice was C (Both statements), but when I reviewed all my questions, it seems that the correct answer is E (both are not sufficient). If you calculate the per capita income, using both statements, it gives that the lower possible income for this area is $16,666...., which is higher than $16,500. If this is not right, could someone explain me why?

Thank you!


Because both have upper and lower limits. The limit can be 330,000 < x < z
As z increases the per capita income decreases.

If the upper limit is 550,000 then the per capita income is 11,000
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Re: GMAT Practice Test Quant #3 - question 3 [#permalink] New post 11 May 2010, 15:46
Of course it is! I feel really stupid now... :oops: I just assumed that only the lower population number had the lower total income, which cannot be assumed by the question stem...

Thank you very much! :lol:
Re: GMAT Practice Test Quant #3 - question 3   [#permalink] 11 May 2010, 15:46
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