Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent : GMAT Data Sufficiency (DS)
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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]

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23 Nov 2012, 16:07
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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]

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24 Nov 2012, 23:34
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Expert's post
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]

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23 Sep 2014, 16:56
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Re: Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent [#permalink]

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24 Sep 2014, 09:40
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!

E.

1) p>q

p=1,q=0
terms = 0,0,1,1,1
median is 1 but multiple terms are 1 so which one is the median we cannot know.

2) p-q < 1
p=2 , q=3
1,2,3,4,5 (median 3)
p=(-2),q=(-3)
-5,-3,-3,-2,-2 (median -3)
but same problem as above.

(1)+(2)
p=(-1),q=(-2)
-2,-2,-1,-1,0
same issue here as well.
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Re: Which of the 5 terms p, q, p + q, p – 1, and q + 1 represent   [#permalink] 24 Sep 2014, 09:40
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