It is currently 12 Dec 2017, 12:08

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

What is the value of x? (1) x^6 = 729 (2) x^5 < x^4

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

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42571

Kudos [?]: 135380 [1], given: 12691

What is the value of x? (1) x^6 = 729 (2) x^5 < x^4 [#permalink]

Show Tags

New post 12 Oct 2017, 22:21
1
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:35) correct 18% (00:32) wrong based on 60 sessions

HideShow timer Statistics

Kudos [?]: 135380 [1], given: 12691

Manager
Manager
User avatar
S
Joined: 05 Dec 2016
Posts: 248

Kudos [?]: 26 [0], given: 49

Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
GMAT ToolKit User
Re: What is the value of x? (1) x^6 = 729 (2) x^5 < x^4 [#permalink]

Show Tags

New post 12 Oct 2017, 23:21
(1) Prime factorization shows that x^6=|3|^6, so x can take either -3 or 3
(2) insufficient, no info about value of x

(1)+(2)
x^5<x^4 ====> means that x is negative so x= -3.

Answer C.

Kudos [?]: 26 [0], given: 49

1 KUDOS received
Intern
Intern
avatar
B
Joined: 25 Jul 2017
Posts: 18

Kudos [?]: 22 [1], given: 44

CAT Tests
What is the value of x? (1) x^6 = 729 (2) x^5 < x^4 [#permalink]

Show Tags

New post 13 Oct 2017, 07:28
1
This post received
KUDOS
1/ x^6= 729. We have (-3)^6 = (3)^6 = 729 => cannot decide => insuff

2/ x^5<x^4 => X is negative => insuff

Combine 1 and 2 => x=-3 => Answer C

Please kudo if it helps. Thanks.

Kudos [?]: 22 [1], given: 44

Manager
Manager
avatar
G
Joined: 14 Oct 2015
Posts: 218

Kudos [?]: 97 [0], given: 472

Reviews Badge CAT Tests
What is the value of x? (1) x^6 = 729 (2) x^5 < x^4 [#permalink]

Show Tags

New post 13 Oct 2017, 10:19
Bunuel wrote:
What is the value of x?

(1) x^6 = 729
(2) x^5 < x^4


It should be C

1- \(x^6 = 729\)

\(|x| = 3\) i.e. \(x = +3\) \(or -3\)

-- Insufficient

2- \(x^5 < x^4\)

\(x^5 - x^4 < 0\)
\(x^4 (x - 1) < 0\)

Either

\(x^4 < 0\) - impossible
or
\(x - 1 < 0\)
i.e. \(x < 1\) but this gives us a range of values.

Combining \(1\) and \(2\), only value of x less than \(1\) is \(-3\). Hence answer is C
_________________

Please hit Kudos if this post helped you inch closer to your GMAT goal.
Procrastination is the termite constantly trying to eat your GMAT tree from the inside.
There is one fix to every problem, working harder!

Kudos [?]: 97 [0], given: 472

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1793

Kudos [?]: 980 [0], given: 5

Re: What is the value of x? (1) x^6 = 729 (2) x^5 < x^4 [#permalink]

Show Tags

New post 27 Nov 2017, 18:13
Bunuel wrote:
What is the value of x?

(1) x^6 = 729
(2) x^5 < x^4


Statement One Alone:

x^6 = 729

Since x^6 = 729, x = 3 or x = -3. Thus, statement one is not enough information to determine the value of x.

Statement Two Alone:

x^5 < x^4

The information in statement two does not allow for a determination of the value of x.

Statements One and Two Together:

Using the information from both statements, we see that x must be -3 since if x = 3, then x^5 > x^4.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 980 [0], given: 5

Re: What is the value of x? (1) x^6 = 729 (2) x^5 < x^4   [#permalink] 27 Nov 2017, 18:13
Display posts from previous: Sort by

What is the value of x? (1) x^6 = 729 (2) x^5 < x^4

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.