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21 Jan 2005, 17:31
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set S = { -4 , x , 0, 17, 1 }
what is the median of the set S
I x > 1
II) x< 2
what is the median of the set S
I x > 1
II) x< 2
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THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. 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.
21 Jan 2005, 18:00
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A it is...
first put all the elements in the set in order...
-4 0 1 x 17
i) says X is greater than 1, so it will be put on the right of 1, if you look at the median, it will be 1.
II) says x is less than 2, which means if X is say -2, it will to left of 1, making 0 the median....therefore insufficient
first put all the elements in the set in order...
-4 0 1 x 17
i) says X is greater than 1, so it will be put on the right of 1, if you look at the median, it will be 1.
II) says x is less than 2, which means if X is say -2, it will to left of 1, making 0 the median....therefore insufficient
21 Jan 2005, 18:25
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Statement 1 says that x is greater than 1. It could be 2 or could be 20.
So we don't know whether S = { -4, 0, 1, x, 17 }
or S = { -4, 0, 1, 17, x }
and hence we cannot find the median. The statement is not sufficient.
Eliminate answer choices A and D.
Statement 2 says that x is less than 2. It could be -1 or -6. Again we cannot determine the median. Statement 2 is also insufficient and we can eliminate choice B.
Looking at both the statments together, we can be sure that
S = { -4, 0, 1, x, 17 }. The median is 1 and both the statements together are sufficient to answer the question.
The answer is C.
So we don't know whether S = { -4, 0, 1, x, 17 }
or S = { -4, 0, 1, 17, x }
and hence we cannot find the median. The statement is not sufficient.
Eliminate answer choices A and D.
Statement 2 says that x is less than 2. It could be -1 or -6. Again we cannot determine the median. Statement 2 is also insufficient and we can eliminate choice B.
Looking at both the statments together, we can be sure that
S = { -4, 0, 1, x, 17 }. The median is 1 and both the statements together are sufficient to answer the question.
The answer is C.
