Oct 15 12:00 PM PDT  01:00 PM PDT Join this live GMAT class with GMAT Ninja to learn to conquer your fears of long, kooky GMAT questions. Oct 16 08:00 PM PDT  09:00 PM PDT EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299) Oct 19 07:00 AM PDT  09:00 AM PDT Does GMAT RC seem like an uphill battle? eGMAT is conducting a free webinar to help you learn reading strategies that can enable you to solve 700+ level RC questions with at least 90% accuracy in less than 10 days. Sat., Oct 19th at 7 am PDT Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions)
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58340

What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?
[#permalink]
Show Tags
17 Dec 2018, 02:30
Question Stats:
69% (02:08) correct 31% (02:19) wrong based on 86 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________




Math Expert
Joined: 02 Aug 2009
Posts: 7957

What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?
[#permalink]
Show Tags
17 Dec 2018, 04:36
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 denominatorThere 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 dn=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) Crossmultiply  You can crossmultiply 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 = \(\frac{8}{11}  \frac{4}{7}=\frac{5644}{77}=\frac{12}{77}\) C
_________________




Intern
Joined: 12 Dec 2018
Posts: 19
Location: India
Concentration: Finance, Operations
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
17 Dec 2018, 02:33
Range = 8/11 4/7 = 12/77
Posted from my mobile device



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4999
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?
[#permalink]
Show Tags
17 Dec 2018, 04:11
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"



Intern
Joined: 12 Dec 2018
Posts: 19
Location: India
Concentration: Finance, Operations
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
17 Dec 2018, 04:28
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



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4999
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?
[#permalink]
Show Tags
17 Dec 2018, 04:31
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?



Intern
Joined: 12 Dec 2018
Posts: 19
Location: India
Concentration: Finance, Operations
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
Updated on: 17 Dec 2018, 04:40
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, 04:35.
Last edited by nazeernaren on 17 Dec 2018, 04:40, edited 1 time in total.



Senior Manager
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 433

What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?
[#permalink]
Show Tags
Updated on: 01 Mar 2019, 07:43
I don't know if this is the best way but you can estimate if you don't remember all the fraction to decimal conversions.
2/3 = .66
For these, I knew that 1/8 = .125 and 1/11 = .09 8/11 = .72 5/8 = .625
I forgot these two, so I got them close to denominator of 100. 4/7*(14/14) = 56/98, (actual is .57) 9/13*(8/8) = 72/104 (actual is .69)
Now I can see that 8/11 is largest and 4/7 is the smallest. Use LCD 8/114/7 = 56/77  44/77 = 12/77
Originally posted by energetics on 12 Feb 2019, 17:01.
Last edited by energetics on 01 Mar 2019, 07:43, edited 1 time in total.



Manager
Joined: 13 Oct 2018
Posts: 85
Location: India
GPA: 3.1
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
12 Feb 2019, 18:16
by percent conversion, we get the smallest 4/7 and the greatest 8/11 So the range is the difference of these two . The answer is 12/77 option D Posted from my mobile device
_________________
Ankit GMAT is tough so I am ... Giving Kudos is the best way to encourage and appreciate people




Re: What is the range of the set 2/3, 8/11, 5/8, 4/7, 9/13 ?
[#permalink]
12 Feb 2019, 18:16






