It is currently 17 Nov 2018, 02:58
My Tests

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.

If u and –3v are greater than 0, and

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4895
Followers: 74

Kudos [?]: 976 [0], given: 4494

CAT Tests
If u and –3v are greater than 0, and [#permalink] New post 12 Aug 2018, 10:09
Expert's post
00:00

Question Stats:

46% (02:13) correct 53% (01:05) wrong based on 13 sessions
If u and –3v are greater than 0, and \(\sqrt{u} < \sqrt{-3v}\) , which of the following cannot be true ?

A. \(\frac{u}{3} < -v\)

B. \(\frac{u}{v} > -3\)

C. \(\sqrt{\frac{u}{-v}} < \sqrt{3}\)

D. \(u + 3v > 0\)

E. \(u < -3v\)
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

Director
Director
Joined: 20 Apr 2016
Posts: 743
Followers: 6

Kudos [?]: 500 [0], given: 86

CAT Tests
Re: If u and –3v are greater than 0, and [#permalink] New post 18 Aug 2018, 20:24
Carcass wrote:
If u and –3v are greater than 0, and \(\sqrt{u} < \sqrt{-3v}\) , which of the following cannot be true ?

A. \(\frac{u}{3} < -v\)

B. \(\frac{u}{v} > -3\)

C. \(\sqrt{\frac{u}{-v}} < \sqrt{3}\)

D. \(u + 3v > 0\)

E. \(u < -3v\)


A quick glance through all the option, we will see that

option D which is \(u + 3v > 0\) is not possible, so might be the answer, however lets look at the remaing option

option A :: \(\frac{u}{3} < -v\) - This is possible if we divide by 3 on both sides

Option B:: \(\frac{u}{v} > -3\) - This is possible, since -3v > 0 so v < 0

Option C:: \(\sqrt{\frac{u}{-v}} < \sqrt{3}\) - It is possible by dividing \(\sqrt{-v}\) on both sides

Option E:: \(u < -3v\) - It is also possible by squaring on both sides.

** When the GRE writes a root sign, they are indicating a nonnegative root only**
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Re: If u and –3v are greater than 0, and   [#permalink] 18 Aug 2018, 20:24
Display posts from previous: Sort by

If u and –3v are greater than 0, and

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.