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

It is currently 22 Apr 2019, 01:56

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

Find the median of the following numbers:

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

Hide Tags

 
Intern
Intern
User avatar
B
Joined: 21 Oct 2017
Posts: 14
CAT Tests
Find the median of the following numbers:  [#permalink]

Show Tags

New post 16 Mar 2019, 20:25
2
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

43% (01:48) correct 57% (02:18) wrong based on 14 sessions

HideShow timer Statistics

Find the median of the following numbers:

-\((\frac{1}{2})^{(\frac{-1}{3})}\) ; -\((\frac{1}{4})^{(\frac{-1}{3})}\) ; -\((\frac{1}{4})^{(\frac{-1}{2})}\) ; -\((\frac{1}{4})^{(\frac{-2}{3})}\) ; -\((\frac{1}{3})^{(\frac{-1}{2})}\)

A. -\((\frac{1}{2})^{(\frac{-1}{3})}\)

B. -\((\frac{1}{4})^{(\frac{-1}{3})}\)

C. -\((\frac{1}{4})^{(\frac{-1}{2})}\)

D. -\((\frac{1}{4})^{(\frac{-2}{3})}\)

E. -\((\frac{1}{3})^{(\frac{-1}{2})}\)
Manager
Manager
User avatar
S
Joined: 20 Mar 2018
Posts: 64
Location: Ghana
Concentration: Finance, Real Estate
Find the median of the following numbers:  [#permalink]

Show Tags

New post 18 Mar 2019, 11:10
(1/2)^(-1/3)= (1/0.5^(1/3)) =cuberoot(1/0.5) =cuberoot(2)~1.25

(1/4)^(-1/3)= (1/0.25^(1/3))=cube root(4)~1.60
(1/4)^(-1/2)=(1/0.25^(1/2)=root(4)=2,

(1/4)^(-2/3)=(1/0.25^(2/3))=cube root (16)~2.5

(1/3)^(-1/2)=(1/0.33^(1/2))=root(3.03)~1.74
now we arrange them since they are 5 we know the median will be the 3rd term. Now we have 1.25,1.60,*1.74*,2,2.5 so median is (1/4)^(-2/3)
Ans is E
Hope it helps

Posted from my mobile device
Intern
Intern
avatar
B
Joined: 20 Jul 2018
Posts: 12
Re: Find the median of the following numbers:  [#permalink]

Show Tags

New post 18 Mar 2019, 12:36
Let's do analysis of the question this question is checking three aspects of maths - Exponents, Statistics and PEMDAS Rules.

1) Exponents - if fraction is raised to the -ve power convert that fraction into reciprocal and then make exponent positive (BCZ exponents are always positive)

2) Statistics - Median def

3) PEMDAS - first off all raise the power or take root of the number then apply the -ve sign.

1) -(1/2)^(-1/3) = - {(2)^1/3}~ -1.25
2)-(1/4)^(-1/3)= -{(4)^1/3} ~-1.5
3)-(1/4)^(-1/2)= - {(4)^1/2}~-2
4)-(1/4)^(-2/3)= -{(4)^2/3} ~ -2.49
5) -(1/3)^(-1/2) =- {(3)^1/2} ~ -1.73

arrange the above terms in ascending way: -2.49 , -2 , -1.73, -1.58 , -1.25

the middle term is -1.73 hence the option is E .(IMO)
_________________
----------------------------------------
Hit the Kudos please :)

GMAT Club Bot
Re: Find the median of the following numbers:   [#permalink] 18 Mar 2019, 12:36
Display posts from previous: Sort by

Find the median of the following numbers:

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


Copyright

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®.