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

It is currently 18 Aug 2018, 09:16

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^4 > 2,000?

  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: 47983
Is x^4 > 2,000?  [#permalink]

Show Tags

New post 20 Nov 2016, 10:26
1
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (01:59) correct 35% (01:15) wrong based on 66 sessions

HideShow timer Statistics

Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2717
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: Is x^4 > 2,000?  [#permalink]

Show Tags

New post 20 Nov 2016, 10:37
1
Bunuel wrote:
Is x^4 > 2,000?

(1) x^3 > 400

(2) x > 7.25


from 1 we know:
x^3 > 2^4 * 5^2
7^3 = 343
8^3 = 512
x must be greater than 7 100%.
7^4 = 2401 - so already sufficient.

2. sufficient. if x=7, then it is already sufficient.

D is the answer.
Senior Manager
Senior Manager
avatar
Joined: 06 Jun 2016
Posts: 263
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: Is x^4 > 2,000?  [#permalink]

Show Tags

New post 20 Nov 2016, 10:55
1
Bunuel wrote:
Is x^4 > 2,000?

(1) x^3 > 400

(2) x > 7.25



IMO D

From statement 1
x^3 > 400
6^3= 216, 7^3= 343 8^3= 512
so x must be greater than 7
7^4= 2401,
Yes, Sufficient

From statement 2
x > 7.25
so x^4 > 2762.8
Hence sufficient

Hence D
Director
Director
User avatar
Joined: 06 May 2006
Posts: 772
Re: Is x^4 > 2,000?  [#permalink]

Show Tags

New post 20 Nov 2016, 13:47
mvictor wrote:
Bunuel wrote:
Is x^4 > 2,000?

(1) x^3 > 400

(2) x > 7.25


from 1 we know:
x^3 > 2^4 * 5^2
7^3 = 343
8^3 = 512
x must be greater than 7 100%.
7^4 = 2401 - so already sufficient.

2. sufficient. if x=7, then it is already sufficient.

D is the answer.


Exactly.
Answer is D as mvictor explained!
_________________

Uh uh. I know what you're thinking. "Is the answer A, B, C, D or E?" Well to tell you the truth in all this excitement I kinda lost track myself. But you've gotta ask yourself one question: "Do I feel lucky?" Well, do ya, punk?

Senior CR Moderator
User avatar
V
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1394
Location: Viet Nam
GMAT ToolKit User Premium Member
Is x^4 > 2,000?  [#permalink]

Show Tags

New post 20 Nov 2016, 20:58
Bunuel wrote:
Is x^4 > 2,000?

(1) x^3 > 400

(2) x > 7.25



(1) \(x^3 >400\)

We have \(7^3=343\), so \(x^3 >400 >343 = 7^3\) or \(x>7\).
Hence, \(x^4 > 7^4 = 49^2 = 2401 > 2000\), sufficient

(2) We have \(x>7.25>7\) . Hence \(x^4 >7^4 >2000\), sufficient.

The answer is D
_________________

Actual LSAT CR bank by Broall

How to solve quadratic equations - Factor quadratic equations
Factor table with sign: The useful tool to solve polynomial inequalities
Applying AM-GM inequality into finding extreme/absolute value

New Error Log with Timer

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 7761
Premium Member
Re: Is x^4 > 2,000?  [#permalink]

Show Tags

New post 12 Dec 2017, 13:33
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: Is x^4 > 2,000? &nbs [#permalink] 12 Dec 2017, 13:33
Display posts from previous: Sort by

Is x^4 > 2,000?

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

Events & Promotions

PREV
NEXT


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®.