It is currently 20 Oct 2017, 04:07

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Sale Price

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Manager
Manager
avatar
Joined: 21 Feb 2009
Posts: 108

Kudos [?]: 96 [0], given: 4

Sale Price [#permalink]

Show Tags

New post 14 Mar 2009, 16:47
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Last month 15 homes were sold in town x. The average(airthmetic 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

1. I only
2. II only
3. III only
4. I and II
5. I and III

Kudos [?]: 96 [0], given: 4

Intern
Intern
avatar
Joined: 14 Mar 2009
Posts: 3

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

Re: Sale Price [#permalink]

Show Tags

New post 14 Mar 2009, 17:48
Ans:3

The mean and Median are close from that we can induce that the sale price spread is evenly balanced.
I. can be true but we really cant decide with the given data.
II.This as well cant be sure.
III.as the median is $130,000 so there must be sale price less than and more than it.

so Ans :3

Hope I am correct :roll:

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

Manager
Manager
avatar
Joined: 21 Feb 2009
Posts: 108

Kudos [?]: 96 [0], given: 4

Re: Sale Price [#permalink]

Show Tags

New post 15 Mar 2009, 02:45
This is a question from GMATPrep and it says answer is I only.

IMO the answer should be III only but don't understand why GMATPrep says that way.

Kudos [?]: 96 [0], given: 4

2 KUDOS received
Manager
Manager
avatar
Joined: 02 Mar 2009
Posts: 134

Kudos [?]: 55 [2], given: 0

Re: Sale Price [#permalink]

Show Tags

New post 15 Mar 2009, 03:19
2
This post received
KUDOS
Last month 15 homes were sold in town x. The average(airthmetic 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

1. I only
2. II only
3. III only
4. I and II
5. I and III


It is indeed A.

Here's why:

Take statement 2: It says that at least one of the houses must have been sold for a value between 130,000 and 150,000. Not necessarily.
See this case.. The median is the 8th number and its value is 130,000. If the 7 numbers before the median have a value of 130,000 too, total revenue from these 8 house sales is = 1,040,000. Now total revenue from all the 15 houses is 2,250,000. Now the rest of the 7 houses must each be sold for at least c.172,000 (approx) to cover teh balance (2,250,000 - 1,040,000). Agreed, that one of the houses could have been sold between the bracket given (130,000 and 150,000) but this is not a must be true condition. It could well be that all are sold at the same price (approx 172,000)

Statement 3: Again, not a must be true statement. All the houses before the mdedian could have been sold for 130,000. The ones above the median must be sold for above the median (at least some of them).

Now statement 1: This has to be true. The MAXIMUM contribution that the first 8 households can make towards total sales is (8 * 130,000 as calculated above). Now to fulfill the balance, even if all the houses after the median were sold at the same price, they would sell for approx 172,000 each, which is greater than 165,000. If any household was sold for less than 172,000, there would have to be another household selling for more than 172,000 to cover the balance.

Hence A must be true.

Hope this helps.

Kudos [?]: 55 [2], given: 0

Manager
Manager
avatar
Joined: 21 Feb 2009
Posts: 108

Kudos [?]: 96 [0], given: 4

Re: Sale Price [#permalink]

Show Tags

New post 15 Mar 2009, 03:31
Great Explanation..!!

Kudos [?]: 96 [0], given: 4

Re: Sale Price   [#permalink] 15 Mar 2009, 03:31
Display posts from previous: Sort by

Sale Price

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.