GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Jan 2019, 00:59

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

If -2x > 3y, is x negative?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7199
Re: If -2x > 3y, is x negative?  [#permalink]

Show Tags

New post 21 Jun 2016, 06:42
1
Shrivathsan wrote:
If -2x > 3y, is x negative?
(1) y > 0
(2) 2x + 5y - 20 = 0


Hi,
-2x > 3y...
(a)If y<0, x can be both +ive and -ive..
(b)if y>0, x will have to be +ive as 3y is positive and -2x , to be positive, has to have x as -ive..


now lets see the choices..


(1) y > 0
If y>0, x is -ive as proved in (b) above... suff

(2) 2x + 5y - 20 = 0..
this can be written as 2x+3y + 2y -20=0..
now 2x+3y<0, so 2y>20... or y is +ive and therefore x is -ive.... suff

ans D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Intern
Intern
avatar
Joined: 01 May 2015
Posts: 39
Re: If -2x > 3y, is x negative?  [#permalink]

Show Tags

New post 29 Jun 2016, 23:38
Question says x < -1.5y

(1) is sufficient becuase if y is positive and x < -1.5y then clearly, x will be negative.

(2) y = (20 - 2x)/5
Substituting in -2x > 3y
-2x > 3(20 - 2x)/5
-10x > 60 - 6x
x < -15
So, from (2) alone also, we know that x is negative.
CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3326
Location: Canada
Re: If -2x > 3y, is x negative?  [#permalink]

Show Tags

New post 29 Sep 2016, 07:33
1
Top Contributor
dimitri92 wrote:
If -2x > 3y, is x negative?

(1) y > 0
(2) 2x + 5y - 20 = 0


Target question: Is x negative?

Given: -2x > 3y

Statement 1: y > 0
In other words, y is POSITIVE
This means that 3y is POSITIVE
It is given that -2x > 3y
Since 3y is POSITIVE, we can write: -2x > SOME POSITIVE #
If -2x is greater than SOME POSITIVE #, we know that -2x is POSITIVE
If -2x is POSITIVE, then x must be negative
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: 2x + 5y - 20 = 0
IMPORTANT: It is given that -2x > 3y
So, let's take 2x + 5y - 20 = 0 and rewrite it as 5y - 20 = -2x [I have isolated -2x, just like we have in the GIVEN information]
Now, we'll take -2x > 3y, and replace -2x with 5y - 20 to get: 5y - 20 > 3y
Subtract 3y from both sides: 2y - 20 > 0
Add 20 to both sides: 2y > 20
Solve: y > 10
This means that y is POSITIVE
We already saw in statement 1, that when y is positive, x must be negative
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer:

RELATED VIDEO

_________________

Test confidently with gmatprepnow.com
Image

Senior Manager
Senior Manager
avatar
B
Joined: 13 Oct 2016
Posts: 367
GPA: 3.98
Re: If -2x > 3y, is x negative?  [#permalink]

Show Tags

New post 04 Mar 2017, 11:11
1
sitagupta385 wrote:
If -2x > 3y, is x negative?

(1) y > 0

(2) 2x + 5y - 20 = 0



Hi

(1) Simple and sufficient, if y>0 then x should be <0.

(2) 2x + 5y = 20

2x = 20 - 5y

2x = 5(4 - y)

x=5n, y = 4 - 2n

We are not done yet, still need to consider main restriction -2x>3y. Putting above values into inequality we'll get:

-2*5n > 3(4 - 2n)

-10n > 12 - 6n

n < -3

x = 5n and n<-3 then our x<0. Sufficient.

Answer D
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9420
Premium Member
Re: If -2x > 3y, is x negative?  [#permalink]

Show Tags

New post 19 Mar 2018, 06:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If -2x > 3y, is x negative? &nbs [#permalink] 19 Mar 2018, 06:55

Go to page   Previous    1   2   [ 25 posts ] 

Display posts from previous: Sort by

If -2x > 3y, is x negative?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.