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# which of the following cannot be the median

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Director
Joined: 25 Oct 2008
Posts: 596
Location: Kolkata,India
which of the following cannot be the median [#permalink]

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07 Jul 2009, 05:25
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67% (01:41) correct 33% (00:39) wrong based on 9 sessions

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which of the following cannot be the median of the three ordered positive integers x,y and z?
x
z
x+z
x+z/2
x+z/3

I got the correct answer (c) but was thrown off-guard by the word "ordered".What does it mean?At first glance I thought it mens that they are ordered in ascending/descending but i guess not!!Please shed some light.
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CEO
Joined: 17 Nov 2007
Posts: 3584
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: which of the following cannot be the median [#permalink]

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07 Jul 2009, 05:43
"ordered" means that x or z is the largest integer. As median cannot be larger than the largest integer, x+z is always impossible for median. Without word "ordered" y could be the largest integer and it would be possible to get x+z as median.
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Manager
Joined: 17 Apr 2009
Posts: 153
Re: which of the following cannot be the median [#permalink]

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07 Jul 2009, 06:34
in such cases you can also plug in values and check
e.g 1, 2, 3
or 1, 1, 2
Director
Joined: 01 Aug 2008
Posts: 732
Re: which of the following cannot be the median [#permalink]

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07 Jul 2009, 06:36
walker wrote:
"ordered" means that x or z is the largest integer. As median cannot be larger than the largest integer, x+z is always impossible for median. Without word "ordered" y could be the largest integer and it would be possible to get x+z as median.

yep agree. without the word 'ordered', none of the given answer choices makes sense.

here in this question, quant is also testing 'verbal'
Re: which of the following cannot be the median   [#permalink] 07 Jul 2009, 06:36
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