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Is p>q? Statement 1: p+r>q+s and r>s

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Manager
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Joined: 15 Dec 2015
Posts: 115
GMAT 1: 680 Q49 V34
GPA: 4
WE: Information Technology (Computer Software)
Is p>q? Statement 1: p+r>q+s and r>s  [#permalink]

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New post 30 Jul 2017, 22:37
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (01:30) correct 50% (01:19) wrong based on 20 sessions

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Is p>q?

Statement 1: p+r>q+s and r>s
Statement 2: p+s<q+r and s>r
Intern
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Joined: 11 Apr 2017
Posts: 5
GMAT 1: 740 Q51 V39
GPA: 4
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Re: Is p>q? Statement 1: p+r>q+s and r>s  [#permalink]

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New post 31 Jul 2017, 08:57
DH99 wrote:
Is p>q?

Statement 1: p+r>q+s and r>s
Statement 2: p+s<q+r and s>r



S1 : p+r>q+s ---> (p-q) +(r-s) >0 and also given that r>s means r-s >0 .
(p-q) +(r-s) can be greater than zero if p>q or p<q . So S1 alone is not helpful.

S2 : p+s<q+r -----> p-q <r-s ----> p-q < -(s-r). S2 also states that s-r is positive leaving p-q to be less than a negative value. Which means p-q<0 -----> p<q.

Hence Option B is the answer.

PS: Sorry if I confused you with my solution :(
GMAT Club Bot
Re: Is p>q? Statement 1: p+r>q+s and r>s   [#permalink] 31 Jul 2017, 08:57
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Is p>q? Statement 1: p+r>q+s and r>s

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