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

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Are positive integers p and q both greater than n? (1) p-q [#permalink] New post 09 Dec 2006, 19:05
Are positive integers p and q both greater than n?

(1) p-q is > n
(2) q>p
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 [#permalink] New post 09 Dec 2006, 19:27
1) I picked numbers here and quickly came up with insufficient. Consider a case where p = 20, q = 8, n =10. Then consider p = 20, q = 12, n = 7.

2) Tells you nothing about n. Insufficient.

1&2) Gotta be careful to remember that p and n are both positive here. If p-q is greater than n and q is greater than p, that means that n must be negative. So both statements together are sufficient.
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 [#permalink] New post 09 Dec 2006, 19:58
C

(2) easily INSUFF. Nothing on N

(1) INSUFF
picked numbers
10-5>1
5-2>2

Together, SUFF since p and q are positive numbers and since q>p, the diff of q-p will always be negative
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 [#permalink] New post 10 Dec 2006, 00:48
Are positive integers p and q both greater than n?

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


FROM ONE

P-Q>N, SURE P IS GREATER THAN N , Q WE CANT BE SURE

FROM TWO

OBVIOUSLY INSUFF

BOTH TOGETHER

P-Q>N
Q-P>0

ADD THE INEQUALITIES TOGETHER

N<0
N IS -VE

THUS SURE P AND Q > N
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Re: GMAT Prep inequality (another one) [#permalink] New post 10 Dec 2006, 01:44
choice c

p-q<0 and p-q>n hence n<0

and since p,q >0 hence p,q >n
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 [#permalink] New post 10 Dec 2006, 16:05
Got it. OA is C. Thanks!
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  [#permalink] 10 Dec 2006, 16:05
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