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

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Senior Manager
Joined: 22 Sep 2005
Posts: 278

Kudos [?]: 241 [0], given: 1

Are positive integers p and q both greater than n? 1) p-q is [#permalink]

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30 Jan 2008, 12:54
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Are positive integers p and q both greater than n?

1) p-q is greater than n
2) p<q

Kudos [?]: 241 [0], given: 1

Director
Joined: 01 Jan 2008
Posts: 618

Kudos [?]: 198 [0], given: 1

Re: DS: Integers grater than n [#permalink]

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30 Jan 2008, 13:04
netcaesar wrote:
Are positive integers p and q both greater than n?

1) p-q is greater than n
2) p<q

1) insufficient -> try (p,q,n) = (10,1,8) and (10,8,1)
2) insufficient -> try (p,q,n) = (1,3,2) and (10,13,2)

1&2 sufficient, p < q -> p-q < 0 since p-q > n -> n is negative but since p and q are positive, both p and q are greater than n.

Kudos [?]: 198 [0], given: 1

Director
Joined: 01 May 2007
Posts: 795

Kudos [?]: 378 [0], given: 0

Re: DS: Integers grater than n [#permalink]

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31 Jan 2008, 16:32

Together we can tell that p-q will be a negative # greater than n. So n must be a negative number. P and q are positive always.

Kudos [?]: 378 [0], given: 0

Senior Manager
Joined: 22 Sep 2005
Posts: 278

Kudos [?]: 241 [0], given: 1

Re: DS: Integers grater than n [#permalink]

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01 Feb 2008, 12:43
jimmyjamesdonkey wrote:

Together we can tell that p-q will be a negative # greater than n. So n must be a negative number. P and q are positive always.

How did you arrive to your conclusion so fast?

OA is C

Kudos [?]: 241 [0], given: 1

Director
Joined: 01 Jan 2008
Posts: 618

Kudos [?]: 198 [0], given: 1

Re: DS: Integers grater than n [#permalink]

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01 Feb 2008, 13:38
netcaesar wrote:
jimmyjamesdonkey wrote:

Together we can tell that p-q will be a negative # greater than n. So n must be a negative number. P and q are positive always.

How did you arrive to your conclusion so fast?

OA is C

2) p < q -> p-q < 0
1) p-q > n -> n < p-q < 0

since p, q are positive -> p,q > 0 > n

Kudos [?]: 198 [0], given: 1

Re: DS: Integers grater than n   [#permalink] 01 Feb 2008, 13:38
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# Are positive integers p and q both greater than n? 1) p-q is

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