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

It is currently 17 Oct 2019, 16:50

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

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58402
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:

88% (01:10) correct 13% (01:18) wrong based on 36 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 28 Apr 2014
Posts: 49
GMAT 1: 640 Q50 V25
GMAT ToolKit User
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
P
Joined: 07 Dec 2017
Posts: 1140
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.
_________________
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2345
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   [#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  





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