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Are positive integers P and Q both greater than n? 1) P - Q

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Director
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Are positive integers P and Q both greater than n? 1) P - Q [#permalink] New post 31 May 2008, 11:55
Are positive integers P and Q both greater than n?

1) P - Q > n

2) Q > P
VP
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Re: GMATPrep [#permalink] New post 31 May 2008, 11:59
jimmyjamesdonkey wrote:
Are positive integers P and Q both greater than n?

1) P - Q > n

2) Q > P


C

(1)
Say P=5, Q=1, n=3, then both are NOT greater than n
Say P=5, Q=1, n=0, then both ARE greater than n
INSUFFICIENT

(2) Don't know n
INSUFFICIENT

Together, add them up
P - Q > n
Q > P
is P - Q + Q > P + n
n < 0
Because both P and Q are positive, they must be greater than n
SUFFICIENT
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Re: GMATPrep [#permalink] New post 31 May 2008, 12:04
bkk145 wrote:
jimmyjamesdonkey wrote:
Are positive integers P and Q both greater than n?

1) P - Q > n

2) Q > P


C

(1)
Say P=5, Q=1, n=3, then both are NOT greater than n
Say P=5, Q=1, n=0, then both ARE greater than n
INSUFFICIENT

(2) Don't know n
INSUFFICIENT

Together, add them up
P - Q > n
Q > P
is P - Q + Q > P + n
n < 0
Because both P and Q are positive, they must be greater than n
SUFFICIENT

Bingo !
Great explanation.
No use writin the same thing

cheers!
Director
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Re: GMATPrep [#permalink] New post 31 May 2008, 12:10
jimmyjamesdonkey wrote:
Are positive integers P and Q both greater than n?

1) P - Q > n

2) Q > P


C

statement 1: Insuff
n = 0
p = 10
q = 1
10 - 1 > 0

n = 5
p = 10
q = 4
10 - 4 > 5

statement 2: insuff, no relationship between q and n or p and n

Together
since p and q are positive integers, and q is greater than p, the result of p - q is a negative integer that is greater than n, therefore n must be a negative number.
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Re: GMATPrep [#permalink] New post 31 May 2008, 14:01
i get C...too..

we need to know of Q is greater than N or not..
Re: GMATPrep   [#permalink] 31 May 2008, 14:01
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Are positive integers P and Q both greater than n? 1) P - Q

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