Are positive integers p and q both greater than n?

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

02 Oct 2007, 13:23

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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

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02 Oct 2007, 14:31

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

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Re: GMAT Prep 2: DS Q19 [#permalink]

03 Oct 2007, 16:26

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.

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Re: GMAT Prep 2: DS Q19 [#permalink]

04 Oct 2007, 00:14

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

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04 Oct 2007, 16:34

OA is C.

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

Thanks

A.

[#permalink] 04 Oct 2007, 16:34

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Are positive integers p and q both greater than n?

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Are positive integers p and q both greater than n?

Are positive integers p and q both greater than n?

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