NEW HERE? LEARN MORE
closeclose
Last visit was: 29 Apr 2024, 01:57 It is currently 29 Apr 2024, 01:57
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

Is xy > x^2 ? (1) y > x (2) y > 0

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
shridhar786
Senior Manager
Senior Manager
Joined: 31 May 2018
Posts: 335
Own Kudos [?]: 1553 [2]
Given Kudos: 132
Location: United States
Concentration: Finance, Marketing
Send PM
Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   27 May 2019, 23:11
2
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

60% (01:36) correct 40% (01:23) wrong based on 118 sessions
Hide Show timer Statistics
Is xy > x^2 ?

(1) y > x

(2) y > 0
ShowHide Answer
Official Answer
E
User avatar
G
m1033512
Senior Manager
Senior Manager
Joined: 25 Feb 2019
Posts: 279
Own Kudos [?]: 217 [0]
Given Kudos: 32
Send PM
Reviews Badge
Re: is xy> x^2? [#permalink] New post   27 May 2019, 23:36
IMO E


statement 1.

take x = -3 and y = -2 and 2
for y = -2 ,it is true
for y = +2 , it is false

insufficinet


statement 2

for y >0 , but x can be negative also, so insufficient


Even if we combine together, we still can not decide the sign of x which ia essential to make LHS positive


award kudos if helpful

Posted from my mobile device
avatar
B
rishabhshreyas14
Intern
Intern
Joined: 23 Oct 2017
Posts: 35
Own Kudos [?]: 12 [1]
Given Kudos: 105
Send PM
Re: Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   30 May 2019, 06:49
1
Kudos
xy > x^2

Can't we rewrite this statement as xy>xx -->>>> (dividing by x both sides) y>x ?
User avatar
P
LeoN88
BSchool Moderator
Joined: 08 Dec 2013
Posts: 686
Own Kudos [?]: 517 [0]
Given Kudos: 227
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '23
GMAT 1: 630 Q47 V30
WE:Operations (Non-Profit and Government)
Send PM
Reviews Badge
Re: Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   30 May 2019, 07:05
shridhar786 wrote:
Is xy > x^2 ?

(1) y > x

(2) y > 0


Stem: xy > x^2

Statement 1. y>x
y x
3 2 True
2 -3 False

Statement 2. y>0
y x
3 2 True
2 -3 False

1+2
y x
3 2 True
2 -3 False

E, Insufficient.
User avatar
P
LeoN88
BSchool Moderator
Joined: 08 Dec 2013
Posts: 686
Own Kudos [?]: 517 [0]
Given Kudos: 227
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '23
GMAT 1: 630 Q47 V30
WE:Operations (Non-Profit and Government)
Send PM
Reviews Badge
Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   30 May 2019, 07:07
rishabhshreyas14 wrote:
xy > x^2

Can't we rewrite this statement as xy>xx -->>>> (dividing by x both sides) y>x ?


rishabhshreyas14
We can't; check the video



CC GMATPrepNow
User avatar
L
BrentGMATPrepNow
GMAT Club Legend
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6818
Own Kudos [?]: 29988 [1]
Given Kudos: 799
Location: Canada
Send PM
Re: Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   30 May 2019, 07:26
1
Kudos
Expert Reply
Top Contributor
rishabhshreyas14 wrote:
xy > x^2

Can't we rewrite this statement as xy>xx -->>>> (dividing by x both sides) y>x ?



rishabhshreyas14, I believe the video below is the one LeoN88 meant to reference:
The part about dividing by variables starts around 2:30

User avatar
L
Businessconquerer
SVP
SVP
Joined: 17 Jul 2018
Posts: 2000
Own Kudos [?]: 969 [0]
Given Kudos: 139
Send PM
Reviews Badge
Re: Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   31 May 2019, 13:36
GMATPrepNow wrote:
rishabhshreyas14 wrote:
xy > x^2

Can't we rewrite this statement as xy>xx -->>>> (dividing by x both sides) y>x ?



rishabhshreyas14, I believe the video below is the one LeoN88 meant to reference:
The part about dividing by variables starts around 2:30


I HAVE A POSSIBLY SIMPLER APPROACH IF IT STRIKES YOU

WE CAN REWRITE THE TERMS I SUPPOSE LIKE THIS
x(y-x)>0

what does this mean?
neg x neg
or
pos x pos

if x = -ve
y= smaller negative: then yes

if x= +ve
y= bigger positive: for inequality to be true

looking at the statements, y>x : we can get both no/yes
y>0 again two cases

combining: we still cannot say about x.
E
User avatar
S
Shrey9
Current Student
Joined: 23 Apr 2018
Posts: 130
Own Kudos [?]: 63 [1]
Given Kudos: 176
Send PM
Reviews Badge
Re: Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   31 May 2019, 14:17
1
Kudos
shridhar786 wrote:
Is xy > x^2 ?

(1) y > x

(2) y > 0



Can anyone tell me if I am doing the right way ?

given
xy > x^2
xy-x^2>0
x(y-x) >0
there exist two cases now for the question now
either x > 0
or y-x >0 or y>x

Now lets look at the statements

1) says y>x but doesn't tell us anything about x>0 or x <0
therefore not sufficient

2) says y>0 but we don't know if x > 0 or not..
therefore, not sufficient

Combining 1 and 2
y>x from 1
and y> 0 from 2
but what about x > 0 ?

therefore, not sufficient
hence E
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11184
Own Kudos [?]: 32036 [0]
Given Kudos: 291
Send PM
Reviews Badge
Re: Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink] New post   06 Nov 2022, 09:27
Expert Reply
shridhar786 wrote:
Is xy > x^2 ?

(1) y > x

(2) y > 0



Do we know whether x is positive or negative?…..No
So, bring it to one side

\(xy-x^2>0……….x(y-x)>0\)
two cases
If x>0, then y>x. => y>x>0
If x<0, then y<x. => y<x<0

(1) y>x
Nothing about x.

(2) y>0
Nothing about x


Combined
Nothing about x.
We still do not know whether x is positive or negative.

E
GMAT Club Bot
gmatclubot
Re: Is xy > x^2 ? (1) y > x (2) y > 0 [#permalink]
06 Nov 2022, 09:27
Moderator:
Bunuel
Math Expert
92987 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