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

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Manager
Joined: 30 Aug 2007
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Are positive integers p and q both greater than n? [#permalink]  02 Oct 2007, 12:23
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Q19)
Are positive integers p and q both greater than n?

(1) p – q is greater than n.
(2) q > p
Director
Joined: 17 Sep 2005
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ST1:

Let's say p =2 and q =1 then p-q = 1 > n, Then n = 0, -1 etc
In this case both p and q are greater than n

Now let's say p=10 and q=1 then p-q = 9 > n, Then n = 8, 7, 6 etc
In this case p is greater than n but q is less than n

Hence INSUFF.

ST2:

q>p

INSUFF

Both ST1 and ST2:

Since q>p ; p-q will always result in -ve value which will certainly be less than any + values. (It's given that p and q are +)

So C.

- Brajesh
CEO
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Re: GMAT Prep 2: DS Q19 [#permalink]  03 Oct 2007, 15:26
avenger wrote:
Q19) Are positive integers p and q both greater than n?

(1) p – q is greater than n.
(2) q > p

i took -ve numbers but the question says P and Q as +ve integers. in such case, it should be C.
CEO
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Re: GMAT Prep 2: DS Q19 [#permalink]  03 Oct 2007, 23:14
avenger wrote:
Q19)
Are positive integers p and q both greater than n?

(1) p – q is greater than n.
(2) q > p

S1: Insuff. Says p>q+n q could be greater than n or less than n

S2: Insuff. n could be greater than both q and p or less. Many combos exist here.

Together. b/c q>p and p>q+n. and p and q are + integers. n must be a negative value for p>q+n. if N were a +value then S1 would contradict S2.

So since N is negative, then q>p>n. C
Manager
Joined: 30 Aug 2007
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OA is C.

Thanks for the explanations. This question caught me out - I should have picked numbers...

Thanks

A.
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