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# Are positive integers p and q both greater than n? 1) p - q

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SVP
Joined: 04 May 2006
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Are positive integers p and q both greater than n? 1) p - q [#permalink]

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19 Feb 2008, 19:56
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Are positive integers p and q both greater than n?

1) p - q is greater than n
2) q>p

My approach:

1) p-q>n --> p> q + n
means 1: p > n
means 2: p > q

2) q > p

1 and 2 contradicts each other, so E

Please friends correct me where I am wrong! thank you!
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Director
Joined: 12 Jul 2007
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19 Feb 2008, 20:39
1. tells us nothing.

p - q > n

7-5 > 2
OR
7-1 > 2

each statement works, but we get different outcomes. INSUFFICIENT

2. tells us nothing, only that q>p

now taken together we see:

p-q> n
q>p
q and p are positive integers

basically, we have a positive integer minus a larger positive integer being greater than n. regardless of the exact numbers we see that n must be negative, and since q and p are positive integers, both q and p must be greater than n.

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SVP
Joined: 28 Dec 2005
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19 Feb 2008, 21:15
^^bingo. C for me as well.

stat 1 says p-q>n ... so p could be 5, q could be 1, and p-q=4>n ... but n can be 1,2,3 , and 2 and 3 would mean that q is not greater than p. Insuff.

stat 2 is insuff because it gives no info about n.

together, we have a positive number minus an even larger positive, thereby giving a negative value....this must mean that n is negative as well. Since both p and q are positive, we can be certain that both p and q are greater than n

Kudos [?]: 185 [0], given: 2

SVP
Joined: 04 May 2006
Posts: 1878

Kudos [?]: 1443 [0], given: 1

Schools: CBS, Kellogg

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19 Feb 2008, 21:40
Quickly answer eschn3am and pmenon, thank you. I like these, and Gmatclub also!
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Director
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20 Feb 2008, 01:22
Simple C

1 or 2 don't tell you shiat by themselves

2 tells you p-q<0 and p-q>n ==> n<0.

But p & q are both positive. So yes.

Kudos [?]: 81 [0], given: 0

Re: OG-109 inequalities   [#permalink] 20 Feb 2008, 01:22
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# Are positive integers p and q both greater than n? 1) p - q

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