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# The average of four distinct positive integers is 60. How

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Retired Moderator
Joined: 18 Jul 2008
Posts: 920
The average of four distinct positive integers is 60. How [#permalink]

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29 Nov 2008, 15:36
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The average of four distinct positive integers is 60. How many integers of these four are smaller than 50?

1) One of the integers is 200
2) The median of the four integers is 50

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Can someone explain to me #2?

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Current Student
Joined: 28 Dec 2004
Posts: 3311
Location: New York City
Schools: Wharton'11 HBS'12

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29 Nov 2008, 16:40
I get D

will explain if you still need help..
Senior Manager
Joined: 21 Apr 2008
Posts: 265
Location: Motortown

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29 Nov 2008, 17:03
The average of four distinct positive integers is 60. How many integers of these four are smaller than 50?

1) One of the integers is 200
2) The median of the four integers is 50

Can someone explain to me #2?

{a,b,c,d}
a+b+c+d = 240

stmt1: with lets say d= 200, 3 integers will be less than 50
stmt2: since there are 4 integers, median = (b+c)/2
So, b+c = 100 --> d >50 and a<50
Since b and c can't be equal to 50, one will be below 50, and next will be above 50
So, 2 integers will be less than 50.

Now, is it allowed in GMAT to get two different answers ? or am I doing it wrong ?
Retired Moderator
Joined: 18 Jul 2008
Posts: 920

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29 Nov 2008, 19:36
Gotcha, since they are distinct integers, they both can't be 50.

thanks guys.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: DS: Positive integers   [#permalink] 29 Nov 2008, 19:36
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