It is currently 23 Apr 2019, 13:58
My Tests

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.

what is the least integer value of x?

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1826 [0], given: 397

what is the least integer value of x? [#permalink] New post 22 Nov 2016, 16:46
Expert's post
00:00

Question Stats:

58% (00:39) correct 41% (00:55) wrong based on 12 sessions
If \(\frac{2}{x^3}< 0.02\)what is the least integer value of x?

A. No such least value exists.
B. 101
C. 100
D. 5
E. 4

Drill 4
Question: 11
Page: 295
[Reveal] Spoiler: OA

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1826 [0], given: 397

Re: what is the least integer value of x? [#permalink] New post 22 Nov 2016, 16:48
Expert's post
Explanation

First, rewrite 0.02 as a fraction, \(\frac{2}{100}\). For \(\frac{2}{3^x}\) to be less than \(\frac{2}{100}\) \(3^x\) must be greater than 100.

Plugging In the Answers is the easiest way to get this right. Choice (E) is \(3^4\) = 81 and the fraction is greater than 0.02; eliminate it.

Choice (D) is \(3^5\) = 243 and this makes the fraction inequality would be true if the denominator of less than 0.02. Therefore, the least value for x is 5. Be sure to answer what is asked. The \(\frac{2}{3^x}\) were 101, which is choice (B); however, the question is asking for the least value of x, not of 3x, so the correct answer is choice D.

The correct option is D.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Intern
Intern
Joined: 30 Aug 2018
Posts: 3
Followers: 0

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

Re: what is the least integer value of x? [#permalink] New post 06 Oct 2018, 02:10
3^X OR X^3 ? I am confused
GRE Prep Club Legend
GRE Prep Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 106

Kudos [?]: 1826 [0], given: 397

Re: what is the least integer value of x? [#permalink] New post 06 Oct 2018, 06:33
Expert's post
Aroma wrote:
3^X OR X^3 ? I am confused



Your question is not clear. What do you mean by \(3^X\) OR \(X^3\)
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: what is the least integer value of x?   [#permalink] 06 Oct 2018, 06:33
Display posts from previous: Sort by

what is the least integer value of x?

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.