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apoorva_srivastva

Post subject: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Sun Jul 19, 2009 4:00 pm 


Students 

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Userfriendly 56% Fast response time 48% Bargain prices 42%
The table gives three factors to be considered when choosing an Internet service provider and the percent of the 1,200 respondents to a survey who cited that factor as important. If 30 percent of the respondents cited both "userfriendly" and "fast response time", what is the maximum possible number of respondents who cited "bargain prices," but neither "userfriendly" nor "fast response time?"
A. 312 B. 336 C. 360 D. 384 E. 420





hunkysden

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Mon Jul 20, 2009 2:33 pm 


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Posts: 3

is the answer A i.e, 312?
if that is correct then I can post the method I've used.





tomslawsky

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Wed Aug 05, 2009 2:03 pm 


Students 

Posts: 138





jonathanc

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Wed Aug 05, 2009 8:41 pm 


Students 

Posts: 20

I' say 312 too.
I did it using the Venn Diagramm (I like this trick found in MGMAT bbook because it 's very fast to use like the Prime box) unfortunately I dont find how to paste image here so I will use the text but if you trace the circles it is easy to follow.
I did my diagramm with 100 people to not waste time on calculation but you can do it with 1200 I think i guess it 's just longer. You Know that the total of people in the User Friendly (UF) circle is 56 and the total in the Fast Response (FR) time is 48. The overlapping area between both including the overlapping with Bargain Prices (BP) is 30. So the Min and the Max people of UF + FRT (forget about BP circle now , dont even trace it if you want) is (5630) + (4830) +30 = 74. (with the circle it is easy to see). Means that you have 26 persons NOT UF and NOT FRT and the remaining 16 (4226) have to be in an Overlapping area UFBP or FRTBP.
Thus 26 % is the number of people citing BP but not UF and not FRT ( I dont think there is a min and a max , it can only be this number.) and 26% of 1200 = 25%+ 1% = 300+12=312 (it s the way i do my calculation to go faster).
Hope it s the right method?
John





tomslawsky

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Wed Aug 05, 2009 10:04 pm 


Students 

Posts: 138

amazing response, thank you





Ben Ku

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Tue Aug 18, 2009 5:34 pm 


ManhattanGMAT Staff 

Posts: 818

John, great response and approach. Let me know if there are other questions here.
_________________ Ben Ku Instructor ManhattanGMAT





kr.prateek

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Sat Jul 23, 2011 11:21 pm 


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Posts: 4

Hi Ben / Staff,
If we solve this question using Venn Diagram, i get that remain 16% as only that common between BP and either of UF or FRT and not both since one of those will be also part of the 30% which is already excluded. Is that correct?
regards, Kumar





mithunsam

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Thu Jul 28, 2011 3:08 pm 


Course Students 

Posts: 74

You can solve using Venn diagram (mentioned above) or as below... (To get the maximum, we have to assume that no respondent chose userfriendly & bargain price or fast response & bargain price... )
[Consider the total respondents are 100 for the time being. We would convert back to 1200 later]
[Using formula P(AuB) = P(A) + P(B)  P(AnB)]
100 = (56 + 48 + 42)  30  Bargain Price 100 = 116  Bargain Price Bargain Price = 26
Now converting back to 1200 respondents Bargain Price = 1200 * 26/100 = 312





tim

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Fri Aug 12, 2011 10:49 pm 


ManhattanGMAT Staff 

Posts: 5190 Location: Southwest Airlines, seat 21C

thanks; let us know if you have any more questions on this one, Kumar..
_________________ Tim Sanders Manhattan GMAT Instructor
Follow this link for some important tips to get the most out of your forum experience: https://www.manhattanprep.com/gmat/forums/post110806.html





kr.prateek

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Tue Aug 16, 2011 12:54 pm 


Forum Guests 

Posts: 4

thanks mithunsam. That was helpful.
No questions Tim. thanks.
regards, Kumar





RonPurewal

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Thu Aug 25, 2011 3:39 am 


ManhattanGMAT Staff 

Posts: 14650

good stuff
_________________ Pueden hacerle preguntas a Ron en castellano Potete fare domande a Ron in italiano On peut poser des questions ã Ron en français Voit esittää kysymyksiä Ron:lle myös suomeksi
Un bon vêtement, c'est un passeport pour le bonheur. – Yves SaintLaurent





reagan88

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Tue Oct 04, 2011 9:14 pm 


Students 

Posts: 4

I am sorry, i dont quite get the venndiagram explanation by John.. Are there any diagrams please??





jnelson0612

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Sun Nov 06, 2011 10:13 pm 


ManhattanGMAT Staff 

Posts: 2675

reagan88 wrote: I am sorry, i dont quite get the venndiagram explanation by John.. Are there any diagrams please?? Reagan, not that I know of. Were you able to draw a diagram based on the information given?
_________________ Jamie Nelson ManhattanGMAT Instructor





rachelhong2012

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Sat Feb 11, 2012 12:43 pm 


Course Students 

Posts: 52

jonathanc wrote: I' say 312 too.
I did it using the Venn Diagramm (I like this trick found in MGMAT bbook because it 's very fast to use like the Prime box) unfortunately I dont find how to paste image here so I will use the text but if you trace the circles it is easy to follow.
I did my diagramm with 100 people to not waste time on calculation but you can do it with 1200 I think i guess it 's just longer. You Know that the total of people in the User Friendly (UF) circle is 56 and the total in the Fast Response (FR) time is 48. The overlapping area between both including the overlapping with Bargain Prices (BP) is 30. So the Min and the Max people of UF + FRT (forget about BP circle now , dont even trace it if you want) is (5630) + (4830) +30 = 74. (with the circle it is easy to see). Means that you have 26 persons NOT UF and NOT FRT and the remaining 16 (4226) have to be in an Overlapping area UFBP or FRTBP.
Thus 26 % is the number of people citing BP but not UF and not FRT ( I dont think there is a min and a max , it can only be this number.) and 26% of 1200 = 25%+ 1% = 300+12=312 (it s the way i do my calculation to go faster).
Hope it s the right method?
John I tried to draw a venn diagram based on this but still cannot follow all the steps and visualize it, can an instructor please draw the image? Thanks a lot!





rachelhong2012

Post subject: Re: â€œuserfriendlyâ€ and â€œfast response timeâ€ Posted: Sun Feb 12, 2012 1:29 pm 


Course Students 

Posts: 52

I managed to arrive at the same conclusion without using the venn diagram. Can any of the instructors let me know if my method can be applied to nearly all problems involved three parts in overlapping set?
User friendly (U) 56% fast response time (F)48% bargain price (B)42%
Without drawing venn diagram I know there are 8 cases: UFBunknown UF30% FBunknown UBunknown NONEunknown U only56%30% = 26% F only48%  30% = 18% B only ? max. B42%
altogether U + UF + F = 30 + 26 + 18 = 74 % 10074 = 26 % left
My question is: how can B (including B only, FB, UB, UFB) be 42% if our capacity is only 26% for the remainder?
Thanks!





