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DS - Gmat Prep Median

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gmat_crack
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DS - Gmat Prep Median [#permalink] New post   Updated on: 07 Jul 2008, 20:57
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A
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D
E

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Please explain the underneath concept.



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Originally posted by gmat_crack on 13 Jun 2006, 21:14.
Last edited by gmat_crack on 07 Jul 2008, 20:57, edited 1 time in total.
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Re: DS - Gmat Prep Median [#permalink] New post   13 Jun 2006, 21:38
Interesting question. Looks like GMATPrep has infinite number of questions.

I. Lets pick the best case scenario:
8 houses have pirce equal to median price 130k
Their sum = 130k*8 = 1040k
Mean = 150k
Sum = 15*150k = 2250k
So rest of 7 houses should have average price = (2250k-1040k)/7 = 1210/7 = 172.xx k
Since the best case average of 7 houses is 172.xxk, atlease one of them should be > 165k

II. Not necessarily true. Consider the above example where 8 houses are 130k and 7 houses are 172.xxk, it is not true

III. Same example as above. Not necessarily true

Hence A.
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Re: DS - Gmat Prep Median [#permalink] New post   13 Jun 2006, 21:51
giddi77 wrote:
Interesting question. Looks like GMATPrep has infinite number of questions.

I. Lets pick the best case scenario:
8 houses have pirce equal to median price 130k
Their sum = 130k*8 = 1040k
Mean = 150k
Sum = 15*150k = 2250k
So rest of 7 houses should have average price = (2250k-1040k)/7 = 1210/7 = 172.xx k
Since the best case average of 7 houses is 172.xxk, atlease one of them should be > 165k

II. Not necessarily true. Consider the above example where 8 houses are 130k and 7 houses are 172.xxk, it is not true

III. Same example as above. Not necessarily true

Hence A.


Bingo. I did in exactly same way.
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Re: DS - Gmat Prep Median [#permalink] New post   13 Jun 2006, 23:01
giddi77 wrote:
Interesting question. Looks like GMATPrep has infinite number of questions.

I. Lets pick the best case scenario:
8 houses have pirce equal to median price 130k
Their sum = 130k*8 = 1040k
Mean = 150k
Sum = 15*150k = 2250k
So rest of 7 houses should have average price = (2250k-1040k)/7 = 1210/7 = 172.xx k
Since the best case average of 7 houses is 172.xxk, atlease one of them should be > 165k

II. Not necessarily true. Consider the above example where 8 houses are 130k and 7 houses are 172.xxk, it is not true

III. Same example as above. Not necessarily true

Hence A.


Girish you rock.
However, in exam pressure how should we approach?
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Re: DS - Gmat Prep Median [#permalink] New post   14 Jun 2006, 06:41
gmat_crack wrote:
However, in exam pressure how should we approach?


Well I am no Guru to give advise 'coz I get stumped by such questions too.

Of course it is difficult to solve such problems exhaustively on the test. But you need to also remember that most GMAT questions are based on the same concepts. The testmakers don't invent new porblems everyday; They just can't

For this question you can start with III. rd condition and eliminate it by taking an example of 8 houses being 130k. Try to use the same condition for 2nd and first.
Also you must have seen several problems based on the same concept - Given an average & median, to get the least value of numbers greater than the Median, we need to consider the case where all the numbers smaller than median are equal to the median itself. Believe me this is tested over an over. I can't be more precise because of the confidentiality agreement with GMAC.

Another trick would be to think in terms of smaller number of values. Say pick only 3 numbers. IN MOST CASES what is true of 3 or 5 numbers will be true of 15 or 21 numbers.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: DS - Gmat Prep Median [#permalink]
14 Jun 2006, 06:41
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