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

It is currently 17 Feb 2019, 10:03

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 February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT Algebra Webinar

     February 17, 2019

     February 17, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
  • Valentine's day SALE is on! 25% off.

     February 18, 2019

     February 18, 2019

     10:00 PM PST

     11:00 PM PST

    We don’t care what your relationship status this year - we love you just the way you are. AND we want you to crush the GMAT!

If y<x<0, which of the following CANNOT be true?

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52906
If y<x<0, which of the following CANNOT be true?  [#permalink]

Show Tags

New post 18 Nov 2016, 01:41
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

62% (01:51) correct 38% (01:45) wrong based on 215 sessions

HideShow timer Statistics

VP
VP
User avatar
P
Joined: 05 Mar 2015
Posts: 1001
If y<x<0, which of the following CANNOT be true?  [#permalink]

Show Tags

New post 18 Nov 2016, 10:39
Bunuel wrote:
If y<x<0, which of the following CANNOT be true?

A. x·y > 2
B. x−y > 2
C. x/y > 2
D. x+y > −2
E. y/x < 2


A. if x=-1,y=-3.....true
B.if x=-1 , y=-7....true
D. if x=-0.5 , y=-0.6....true
E. if x=-1, y=-1.1.......true

Now why option C is correct..
As y has more magnitude than x thus making x/y never >1 or 2

Ans C
CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3431
Location: Canada
Re: If y<x<0, which of the following CANNOT be true?  [#permalink]

Show Tags

New post 20 Nov 2016, 06:25
1
Top Contributor
Bunuel wrote:
If y<x<0, which of the following CANNOT be true?

A. x·y > 2
B. x−y > 2
C. x/y > 2
D. x+y > −2
E. y/x < 2


I think rohit8865's approach is the best approach.
However, here's another way to show why answer choice C cannot be true.

First recognize that, if y is NEGATIVE, then we know that 2y < y
If you're not convinced, here's a quick proof:
Given: y < 0
Add y to both sides to get: y + y < y
Simplify: 2y < y

Now let's see why answer choice C (x/y > 2) cannot be true
Take x/y > 2
Multiply both sides by y to get: x < 2y [aside: y is negative, so we just multiplied both sides of the inequality by a negative value. Whenever we do this, we must reverse the direction of the inequality]
Now combine this inequality with the one we created earlier (2y < y)
We we do so, we get: x < 2y < y
If we ignore the 2y in the middle, we get x < y, HOWEVER this contradicts the given information that says y < x < 0.
As such, answer choice C can never be true.

Answer:

RELATED VIDEOS



_________________

Test confidently with gmatprepnow.com
Image

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9836
Premium Member
Re: If y<x<0, which of the following CANNOT be true?  [#permalink]

Show Tags

New post 18 Jan 2019, 08:07
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 y<x<0, which of the following CANNOT be true?   [#permalink] 18 Jan 2019, 08:07
Display posts from previous: Sort by

If y<x<0, which of the following CANNOT be true?

  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®.