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

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Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 512
Are positive integers p and q both greater than n (1) p-q is  [#permalink]

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11 Jun 2011, 07:46
00:00

Difficulty:

35% (medium)

Question Stats:

92% (00:32) correct 8% (02:17) wrong based on 12 sessions

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Are positive integers p and q both greater than n?

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

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/are-positive- ... 29425.html

Whether following approach is wrong?
1) p-q>n
p>n+q, so p greater than n, but can not be decided whether q > n. Insufficient.
2) q > p, no information about n. so insufficient.

For C
q>p and p>n so, p and q both are greater than n.

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100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Current Student
Joined: 26 May 2005
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Re: Are positive integers p and q both greater than n (1) p-q is  [#permalink]

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11 Jun 2011, 07:51
ur approach is perfect !!
Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 512
Re: Are positive integers p and q both greater than n (1) p-q is  [#permalink]

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11 Jun 2011, 08:26
Math Expert
Joined: 02 Sep 2009
Posts: 49858
Re: Are positive integers p and q both greater than n (1) p-q is  [#permalink]

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03 Dec 2017, 06:03
Baten80 wrote:
Are positive integers p and q both greater than n?

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

Whether following approach is wrong?
1) p-q>n
p>n+q, so p greater than n, but can not be decided whether q > n. Insufficient.
2) q > p, no information about n. so insufficient.

For C
q>p and p>n so, p and q both are greater than n.

Given: $$p=integer>0$$ and $$q=integer>0$$. Question: is $$p>n$$ and $$q>n$$?

(1) $$p-q>n$$. Clearly insufficient.

(2) $$q>p$$, no info about $$n$$. Not sufficient.

(1)+(2) Sum (1) and (2) (we can safely do this as their signs are in the same direction): $$p-q+q>n+p$$ --> $$n<0$$. As given that both $$p$$ and $$q$$ are positive then they are greater than negative $$n$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/are-positive- ... 29425.html

--== Message from the GMAT Club Team ==--

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.

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Re: Are positive integers p and q both greater than n (1) p-q is &nbs [#permalink] 03 Dec 2017, 06:03
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