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

It is currently 19 Oct 2018, 13:43

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

Is x < 0? (1) x^3 + 8 < 0 (2) -(x/4 + 3) > 0

  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: 50002
Is x < 0? (1) x^3 + 8 < 0 (2) -(x/4 + 3) > 0  [#permalink]

Show Tags

New post 02 Apr 2018, 21:51
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

89% (01:03) correct 11% (00:58) wrong based on 29 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 28 Apr 2014
Posts: 49
GMAT 1: 640 Q50 V25
GMAT ToolKit User CAT Tests
Re: Is x < 0? (1) x^3 + 8 < 0 (2) -(x/4 + 3) > 0  [#permalink]

Show Tags

New post 02 Apr 2018, 22:30
IMO D

St1
x^3<-8
x<-2
sufficient

St2
x/4+3<0
x<-12
sufficient
examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 721
Re: Is x < 0? (1) x^3 + 8 < 0 (2) -(x/4 + 3) > 0  [#permalink]

Show Tags

New post 02 Apr 2018, 23:05
Bunuel wrote:
Is \(x < 0\)?

(1) \(x^3 + 8 < 0\)

(2) \(-(\frac{x}{4} + 3) > 0\)


As we're asked about a number property (positive/negative) we'll look for a property based solution.
This is a Logical approach.

(1) If x is positive or zero, then x^3 is positive or zero and x^3 + 8 is positive, in contradiction to the statement.
Then x must be negative.
Sufficient.

(2) If x is positive or zero, then x/4+3 is positive or zero and -(x/4+3) is negative or zero, in contradiction to the statement.
Then x must be negative.
Sufficient.

(D) is our answer.
_________________

Image
Sign up for 7-day free trial
Image

I am a CR Expert - Ask Me ANYTHING about CR
I am a DS Expert - Ask Me ANYTHING about DS


Watch free GMAT tutorials in Math, Verbal, IR, and AWA.

GMAT test takers: Watch now the GMAC interview with the people who write the GMAT test!
We discussed the chances of improving a GMAT score; how important the first questions on the test are; what to do if you don’t have enough time to complete a whole section; and more.

You can watch all the action from the interview here.

SVP
SVP
User avatar
D
Joined: 26 Mar 2013
Posts: 1836
Reviews Badge CAT Tests
Re: Is x < 0? (1) x^3 + 8 < 0 (2) -(x/4 + 3) > 0  [#permalink]

Show Tags

New post 03 Apr 2018, 16:47
1
Bunuel wrote:
Is \(x < 0\)?

(1) \(x^3 + 8 < 0\)

(2) \(-(\frac{x}{4} + 3) > 0\)


(1) \(x^3 + 8 < 0\)

\(x^3 < -8\)

\(x < -2\)

Hence, x must be negative

Sufficient

(2) \(-(\frac{x}{4} + 3) > 0\)

multiply both sides by -1

\((\frac{x}{4} + 3) < 0\)

\(\frac{x}{4}< -3\)

\(x < -12\)

Hence, x must be negative

Sufficient

Answer: D
GMAT Club Bot
Re: Is x < 0? (1) x^3 + 8 < 0 (2) -(x/4 + 3) > 0 &nbs [#permalink] 03 Apr 2018, 16:47
Display posts from previous: Sort by

Is x < 0? (1) x^3 + 8 < 0 (2) -(x/4 + 3) > 0

  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®.