NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 03:37 It is currently 25 Apr 2024, 03:37
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
MHIKER
Director
Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 972
Own Kudos [?]: 4928 [11]
Given Kudos: 690
Concentration: Accounting
Send PM
x+y)/Z>0 is x<0? (1) x<y (2) z<0 [#permalink] New post   14 Jun 2011, 07:43
2
Kudos
9
Bookmarks
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

73% (01:32) correct 27% (01:40) wrong based on 355 sessions
Hide Show timer Statistics
(x+y)/Z>0 is x<0?

(1) x<y
(2) z<0

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-y-z-0-is-x-135550.html
ShowHide Answer
Official Answer
C
User avatar
sudhir18n
Current Student
Joined: 26 May 2005
Posts: 356
Own Kudos [?]: 566 [3]
Given Kudos: 13
Send PM
Re: x+y)/Z>0 is x<0? (1) x<y (2) z<0 [#permalink] New post   14 Jun 2011, 07:50
3
Bookmarks
Baten80 wrote:
(x+y)/Z>0 is x<0?
(1) x<y
(2) z<0


Clean C
st. 1 doesnt tell abt Z . insufficient
st2. nothing abt X and Y . insufficient

X<Y and Z<0

(X+y)/Z >0 and Z<0 means X+y <0
we know X<Y
hence X<0
User avatar
fluke
Retired Moderator
Joined: 20 Dec 2010
Posts: 1114
Own Kudos [?]: 4702 [1]
Given Kudos: 376
Send PM
Re: x+y)/Z>0 is x<0? (1) x<y (2) z<0 [#permalink] New post   14 Jun 2011, 09:18
1
Kudos
Baten80 wrote:
(x+y)/Z>0 is x<0?
(1) x<y
(2) z<0


Sol:

\(\frac{x+y}{z} > 0\)
Means,

If \(z>0\), \(x+y>0\)
If \(z<0\), \(x+y<0\)

1. x<y
x=1, y=2, z=3;
\(\frac{x+y}{z}=\frac{1+2}{3}=1\) AND x>0

x=-2, y=-1, z=-3;
\(\frac{x+y}{z}=\frac{-1-2}{-3}=1\) BUT x<0

Not Sufficient.

2. z<0

Means;
\(x+y<0\)
x=-10; y=1; x+y= -9; x<0
x=1; y=-10; x+y=-9; x>0

Not Sufficient.

Combining both;
From stem we know,
If \(z<0\), \(x+y<0\)-----1

From St1, \(x<y\) OR \(x-y<0\)-------2

Adding 1 and 2;
\(2x<0\)
OR
\(x<0\)
Sufficient.

Ans: "C"
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92912
Own Kudos [?]: 618898 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Re: x+y)/Z>0 is x<0? (1) x<y (2) z<0 [#permalink] New post   13 Jan 2016, 08:36
Expert Reply
Baten80 wrote:
(x+y)/Z>0 is x<0?

(1) x<y
(2) z<0



If \(\frac{x+y}{z}>0\), is x<0?

Noticee that: \(\frac{x+y}{z}>0\) means that \(x+y\) and \(z\) have the same sign: either both are positive or both are negative.

(1) x < y. No info about \(z\). Not sufficient.
(2) z < 0. This statement implies that \(x+y\) must also be negative: \(x+y<0\). But we cannot say whether \(x<0\). Not sufficient.

(1)+(2) From (1) we have that \(x < y\) and from (2) we have that \(x+y<0\). Sum these two inequalities (remember we can add inequalities with the sign in the same direction): \(x+y+x<y\) --> \(2x<0\) --> \(x<0\). Sufficient.

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-x-y-z-0-is-x-135550.html
GMAT Club Bot
gmatclubot
Re: x+y)/Z>0 is x<0? (1) x<y (2) z<0 [#permalink]
13 Jan 2016, 08:36
Moderator:
Bunuel
Math Expert
92912 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions