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Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent

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Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent [#permalink] New post 23 Nov 2012, 17:07
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Which of the 5 terms p, q, p + q, p – 1, and q + 1, represents the median of these 5 terms?

(1) p > q
(2) p – q < 1

[Reveal] Spoiler:
The solution recommends plugging in for each one of these, but that means you'll have to plug in at least 6 times... I don't see how one could do that in less than 2 minutes! I mean you could, but there would have to seamless. You immediately understand the question, immediately start plugging in, and get 0 mistakes.

plug in stat(1), get it S, then try to plug in again and get it IS. (then repeat for Stat(2) and Stat(1+2). Then there is also the possibility you plug in twice and get the same result, leaving you to a false answer.

HELP!
[Reveal] Spoiler: OA
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Re: Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent [#permalink] New post 25 Nov 2012, 00:34
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anon1 wrote:
Which of the 5 terms p, q, p + q, p – 1, and q + 1, represents the median of these 5 terms?

(1) p > q
(2) p – q < 1

[Reveal] Spoiler:
The solution recommends plugging in for each one of these, but that means you'll have to plug in at least 6 times... I don't see how one could do that in less than 2 minutes! I mean you could, but there would have to seamless. You immediately understand the question, immediately start plugging in, and get 0 mistakes.

plug in stat(1), get it S, then try to plug in again and get it IS. (then repeat for Stat(2) and Stat(1+2). Then there is also the possibility you plug in twice and get the same result, leaving you to a false answer.

HELP!


Well you can do it algebraically I think. To get the median we MUST be able to write the elements is ascending/descending order!
For S1
p>q then, then if we want to write the elements is descending order: We CANT because even if p>q we dont know if p-1 > q. Also we dont know if p+q>q+1 as we dont know whether p is postive/negative or a fraction.
So insufficient.
For S2
p<q+1. Again similar problem prevails. We dont know if p+q is less or greater than q+1.
So insuffiecient.
S1+S2
This becomes interesting.
we can see that, p-1>p>q but we still dont know which one between q+1 and p+q is greater. Still the same.
Insufficient.
Hence E
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Re: Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent   [#permalink] 25 Nov 2012, 00:34
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Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent

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