If (x + y) / z > 0, is x < 0? 1) x < y 2) z < 0 : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 23:00

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If (x + y) / z > 0, is x < 0? 1) x < y 2) z < 0

Author Message
Director
Joined: 01 May 2007
Posts: 792
Followers: 1

Kudos [?]: 287 [1] , given: 0

If (x + y) / z > 0, is x < 0? 1) x < y 2) z < 0 [#permalink]

Show Tags

20 Apr 2008, 11:26
1
KUDOS
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If (x + y) / z > 0, is x < 0?

1) x < y
2) z < 0
Intern
Joined: 02 Apr 2008
Posts: 37
Followers: 0

Kudos [?]: 11 [1] , given: 0

Re: DS OG Number Prop [#permalink]

Show Tags

20 Apr 2008, 11:36
1
KUDOS
jimmyjamesdonkey wrote:
If (x + y) / z > 0, is x < 0?

1) x < y
2) z < 0

1) insuf. try numbers (-2-1)/-2 or (1+2)/2 --> x<0 and x>0
2) means numerator has to be negative. still insuff because no relationship betwee x and y is given.

Combined, x<y from (1) and x+y<0 from (2). It follows that x cant be >0. Sufficient
SVP
Joined: 28 Dec 2005
Posts: 1575
Followers: 3

Kudos [?]: 147 [1] , given: 2

Re: DS OG Number Prop [#permalink]

Show Tags

20 Apr 2008, 11:42
1
KUDOS
I also get c.

from stat 1, we know nothing about sign of z. insuff.

from stat 2, we know that z is negative, but nothing about x or y. insuff.

together, z is negative, and therefore to meet the condition in the stem, the numerator (x+y) has to be negative. Since x+y<0, this leads to x<-y, and so we can answer the question. sufficient.
Manager
Joined: 16 Sep 2007
Posts: 215
Followers: 1

Kudos [?]: 12 [1] , given: 0

Re: DS OG Number Prop [#permalink]

Show Tags

20 Apr 2008, 11:45
1
KUDOS
1)
assume z positive
x+y must be positive for (x+y)/z to be greater than 0
let x =-1 and y=1000
let x=1000 and y=-1
1 fails

2)
z is negative
x+y must be negative for (x+y)/z to be greater than 0
let x=-1000 and y=1
let x=1 and y=-1000
2 fails

1+2)
from 2 (x+y) must be negative
from 1 x<y
using 2, either x or y must be negative
if x is negative this confirms x<0
using 1, if y is negative, x must be less than y so x<0

C
Director
Joined: 01 May 2007
Posts: 792
Followers: 1

Kudos [?]: 287 [0], given: 0

Re: DS OG Number Prop [#permalink]

Show Tags

20 Apr 2008, 11:51
OA is C. Question..Are we allowed to cross multiply across a inequality?
Re: DS OG Number Prop   [#permalink] 20 Apr 2008, 11:51
Display posts from previous: Sort by