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

It is currently 15 Dec 2019, 06:08

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

If x^5 + x^2 < 0, then which one of the following must be true?

  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: 59728
If x^5 + x^2 < 0, then which one of the following must be true?  [#permalink]

Show Tags

New post 02 Apr 2019, 04:01
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

67% (01:10) correct 33% (01:04) wrong based on 61 sessions

HideShow timer Statistics

VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1492
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
Re: If x^5 + x^2 < 0, then which one of the following must be true?  [#permalink]

Show Tags

New post 02 Apr 2019, 04:09
Bunuel wrote:
If \(x^5 + x^2 < 0\), then which one of the following must be true?

(A) \(x < –1\)

(B) \(x < 0\)

(C) \(x > 0\)

(D) \(x > 1\)

(E) \(x^4 < x^2\)



Given,

\(x^5 + x^2 < 0\)

\(x^2 \geq 0\)

\(x^5\)must be negative.

So, x is negative. but we don't know whether x is fraction or integer.

x must be integer. Fraction doesn't wok here.

A is the best answer.
Senior Manager
Senior Manager
User avatar
P
Joined: 13 Feb 2018
Posts: 492
GMAT 1: 640 Q48 V28
Premium Member
Re: If x^5 + x^2 < 0, then which one of the following must be true?  [#permalink]

Show Tags

New post 02 Apr 2019, 05:02
\(x^5\)+\(x^2\)<0
\(x^2\)*(\(x^3\)+1)<0
As \(x^2\) cant be negative, so (\(x^3\)+1) is negative and x<-1

IMO
Ans: A
Senior Manager
Senior Manager
avatar
G
Joined: 25 Feb 2019
Posts: 335
Reviews Badge
Re: If x^5 + x^2 < 0, then which one of the following must be true?  [#permalink]

Show Tags

New post 02 Apr 2019, 06:05
IMO A


C and D both give positive values

E will not hold true for negative fraction say -1/2

for B , put x=-1 and it make expression = 0 , again out of scope


So IMP A .


award kudos if helpful

Posted from my mobile device
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 18 Aug 2017
Posts: 5484
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: If x^5 + x^2 < 0, then which one of the following must be true?  [#permalink]

Show Tags

New post 03 Apr 2019, 03:50
Bunuel wrote:
If \(x^5 + x^2 < 0\), then which one of the following must be true?

(A) \(x < –1\)

(B) \(x < 0\)

(C) \(x > 0\)

(D) \(x > 1\)

(E) \(x^4 < x^2\)


x^5+x^2<0
shall stand valid only when x is -ve and <-1
IMO A
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8701
Location: United States (CA)
Re: If x^5 + x^2 < 0, then which one of the following must be true?  [#permalink]

Show Tags

New post 07 Apr 2019, 18:24
Bunuel wrote:
If \(x^5 + x^2 < 0\), then which one of the following must be true?

(A) \(x < –1\)

(B) \(x < 0\)

(C) \(x > 0\)

(D) \(x > 1\)

(E) \(x^4 < x^2\)


Let’s simplify the inequality:

x^5 + x^2 < 0

x^2(x^3 + 1) < 0

Divide both sides by x^2 (notice that x can’t be 0, so x^2 is positive):

x^3 + 1 < 0

x^3 < -1

x < ^3√(-1)

x < -1

Answer: A
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: If x^5 + x^2 < 0, then which one of the following must be true?   [#permalink] 07 Apr 2019, 18:24
Display posts from previous: Sort by

If x^5 + x^2 < 0, then which one of the following must be true?

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





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