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Re: p and q greater than n [#permalink]
14 Jul 2010, 14:06

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zisis wrote:

are positive integers p and q both greater than n

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

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.

Re: p and q greater than n [#permalink]
22 Feb 2011, 07:25

Bunuel wrote:

zisis wrote:

are positive integers p and q both greater than n

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

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.

Re: p and q greater than n [#permalink]
23 Feb 2011, 12:11

Baten80 wrote:

Bunuel wrote:

zisis wrote:

are positive integers p and q both greater than n

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

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.

Answer: C.

Your approach is too good

I second that! In my attempt to solve it i did a whole bunch of things but this was the easiest!

Re: Gmatprep DS Questions 3 [#permalink]
20 Mar 2012, 17:35

1. A is insufficient because we know p-q>n. This means p>n but q need not be greater than n. We have no further information on q. e.g. 5-2 > 2 but here q = n. So, rule out A.

2. B is insufficient as no information is given on n. So, we can't compare n to p and q.

Together C: we know that q-p MUST be negative and that makes n negative. Since p and q are positive integers its sufficient to answer the question that BOTH p and Q are greater than n.

I suppose the mistake you made is that you didn't read the key word POSITIVE INTEGERS.

Re: Are positive integers p and q both greater than n ? [#permalink]
04 Nov 2013, 04:50

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