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15 homes were sold

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thc013
 Post subject: 15 homes were sold
 Post Posted: Thu Nov 20, 2008 2:00 pm 
I would like some help in proving how I (choice A) is true.

Last month 15 homes were sold in Town X. The average (arithmetic mean) sale price of the homes was $150,000 and the median sale price was $130,000. Which of the following statements must be true?

I. At least one of the homes was sold for more than $165,000.

II. At least one of the homes was sold for more than $130,000 and less than $150,000.

III. At least one of the homes was sold for less than $130,000.

A) I only
B) II only
C) III only
D) I and II
E) I and III
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RonPurewal
 Post subject:
 Post Posted: Sat Nov 29, 2008 7:48 am 
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ManhattanGMAT Staff


Posts: 7146
http://www.manhattangmat.com/forums/las ... t4373.html

note: this is one of a few gmatprep problems requiring an amount of work that can only be called "ridiculous". there aren't many - most gmat quant problems have concise, if arcane, solutions - but this is certainly one of them.
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