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

It is currently 19 Jan 2019, 08:41

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?

  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: 52294
What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?  [#permalink]

Show Tags

New post 17 Dec 2018, 01:30
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

69% (02:49) correct 31% (02:53) wrong based on 32 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 12 Dec 2018
Posts: 19
Location: India
Concentration: Finance, Operations
Schools: ISB '20
GPA: 3.48
WE: Information Technology (Computer Software)
Re: What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?  [#permalink]

Show Tags

New post 17 Dec 2018, 01:33
Range = 8/11 -4/7 = 12/77

Posted from my mobile device
VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1248
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?  [#permalink]

Show Tags

New post 17 Dec 2018, 03:11
Bunuel wrote:
What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?

A. 3/56
B. 2/21
C. 11/91
D. 12/77
E. 55/77



chetan2u :
Hi could you please suggest a <2 min way to determine the largest and smallest value from the given set : "2/3, 8/11, 5/8, 4/7, 9/13"
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Intern
Intern
avatar
B
Joined: 12 Dec 2018
Posts: 19
Location: India
Concentration: Finance, Operations
Schools: ISB '20
GPA: 3.48
WE: Information Technology (Computer Software)
Re: What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?  [#permalink]

Show Tags

New post 17 Dec 2018, 03:28
2/3 > 1/2.
If the difference between numerator and denominator is same same in two fractions, the fraction with highest numerator is greater in value than that of the fraction with lowest.
By that logic, among 4/7, 5/8 and 8/11, 8/11 is the largest.

Posted from my mobile device
VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1248
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
Re: What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?  [#permalink]

Show Tags

New post 17 Dec 2018, 03:31
nazeernaren wrote:
2/3 > 1/2.
If the difference between numerator and denominator is same same in two fractions, the fraction with highest numerator is greater in value than that of the fraction with lowest.
By that logic, among 4/7, 5/8 and 8/11, 8/11 is the largest.

Posted from my mobile device


nazeernaren : agreed but then how will you negate for other two 2/3 and 9/13?
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Intern
Intern
avatar
B
Joined: 12 Dec 2018
Posts: 19
Location: India
Concentration: Finance, Operations
Schools: ISB '20
GPA: 3.48
WE: Information Technology (Computer Software)
What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?  [#permalink]

Show Tags

New post Updated on: 17 Dec 2018, 03:40
It is advisable to keep in mind the decimals for fractions of the form 1/x, for 1 <x<=12. That way we can estimate a fraction value in decimal and decide quickly. Hope this is helpful.

Posted from my mobile device

Originally posted by nazeernaren on 17 Dec 2018, 03:35.
Last edited by nazeernaren on 17 Dec 2018, 03:40, edited 1 time in total.
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7204
What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?  [#permalink]

Show Tags

New post 17 Dec 2018, 03:36
2
1
Archit3110 wrote:
Bunuel wrote:
What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?

A. 3/56
B. 2/21
C. 11/91
D. 12/77
E. 55/77



chetan2u :
Hi could you please suggest a <2 min way to determine the largest and smallest value from the given set : "2/3, 8/11, 5/8, 4/7, 9/13"


Thats a great question as the main point here is to find the largest and smallest value in the least time..

There are various ways..
Here, the first step would be to find some similarity in numerators or denominators.

(I) get them into same numerator or same denominator
There are three numbers with multiple of 2, and 8 is the maximum, so get all in terms of 8..
\(\frac{2}{3}=\frac{2*4}{3*4}; \frac{8}{11}; \frac{4}{7}=\frac{4*2}{2*7}\)...
when numerators are same, bigger the denominator, smaller the number..
So, \(14>12>11..... \frac{8}{11}>\frac{2}{3}=\frac{2*4}{3*4}>\frac{4}{7}=\frac{4*2}{2*7}\)..

Let me check 5/8 with 4/7 and 8/11 by second way..
(II) Get the fractions in form of \(\frac{a+x}{b+x}\)
all three fractions have a difference of 3 in numerator and denominator that is d-n=3..
so let me write all of them in same terms.. \(\frac{4}{7};\frac{4+1}{7+1};\frac{4+4}{7+4}\)....
In these three if the gap is same bigger the number, bigger the fraction so \(\frac{4}{7}<\frac{4+1}{7+1}<\frac{4+4}{7+4}\)

Now you have largest as 8/11 and smallest as 4/7 and we have to compare 9/13...
when you compare 4/7, you can convert it into 4*2/7*2=8/14 ... now 8/14 has a bigger numerator and a smaller denominator than 9/13, so 8/14 is smaller..
(III) Cross-multiply - You can cross-multiply too to find the answer .. 8/11 vs 9/13 .. 8*13 vs 9*11 = 104 vs 99 .. since 104 is bigger, 8/11 is bigger as 104 represents the numerator 8.

so range = \(\frac{8}{11} - \frac{4}{7}=\frac{56-44}{77}=\frac{12}{77}\)

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ? &nbs [#permalink] 17 Dec 2018, 03:36
Display posts from previous: Sort by

What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?

  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®.