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by crazy4gmat » Tue Feb 24, 2009 10:14 am
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
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Source: — Data Sufficiency |
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by mrsmarthi » Tue Feb 24, 2009 10:26 am
IMO D.

It is given sum of 4 distinct positive integers is 240.

From stmt1 : One of the numbers is 200.So the rest of the 3 numbers sum is 40. So each of them is difinitely less than 50. So this stmt alone is sufficient.

From stmt 2: Median is 50. There is possibility that all the numbers are 50 where the median will be 50. But is ruled out since it is given that numbers are distinct. So the other option is there will be exactly 2 numbers that are less than median. This is sufficient.
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Re: average

by x2suresh » Tue Feb 24, 2009 12:03 pm
agree with D.


Note: Official GMAT questions will not result two different answers when option D

From st1: 3 under 50
From st2: 2 under 50
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by mrsmarthi » Tue Feb 24, 2009 12:23 pm
Even I was guessing the same. So was thinking it might not be one of the Official GMAT question. :)
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by welcome » Tue Feb 24, 2009 1:40 pm
Good question, in which 2 answers are different, but we need not to match the answers anyways, as I never found that tom be written anywhere, it should be a good leaning.
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by Stuart@KaplanGMAT » Tue Feb 24, 2009 2:40 pm
Something very important to take away from this question: do NOT trust the source, as this question does not follow the basic rules of GMAT data sufficiency.

On the actual GMAT, the two statements will NEVER contradict each other. When the answer is D, the two statements will always agree on the exact answer to the question.

What's the source? It's a good idea to always post the source of your questions.
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