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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

The table gives three factors to be considered when choosing [#permalink]
11 Aug 2010, 10:49

13

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

69% (03:54) correct
31% (03:10) wrong based on 226 sessions

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 "user-friendly" and "fast response time", what is the maximum possible number of respondents who cited "bargain prices", but neither "user-friendly" nor "fast response time"?

Re: Please help ... Doubt :Venn diagrams problem [#permalink]
11 Aug 2010, 17:33

praveengmat wrote:

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 “user-friendly” and “fast response time”, what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?” User-friendly 56% Fast response time 48% Bargain prices 42% A. 312 B. 336 C. 360 D. 384 E. 420

Took some time to get to the correct answer.

Answer - A (312)

Given details in the question stem. Total - 1200, User-Friendly - 672, Fast response time - 576, Bargain price - 504.

Let the sum of user friendly & fast response and bargain price be A. And the overlap between the user friendly and bargain price be X, overlap between fast response and bargain be Y. Derived details. Overlapped area between User-Friendly & Fast response time - (360 - A). User-Friendly alone -- (672 - 360 - A - A - X) -- (312 - 2A - X). Fast response time -- (576 - 360 - A - A -Y) -- (216 - 2A - Y). Bargain -- (504 - 360 - A - X - Y) -- (144 - A - X- Y)

Hence the total is (312 - 2A - X) + (216 - 2A - Y) + (144 - A - X - Y) + (360 - A) + A + X + Y = 1200

-- -5A - X - Y = 168

We know that the bargain alone (without fast response and user friendly) is 144 - A - X - Y.

Hence 144 - 4A - A - X - Y => 144 - 4A + 168

- 312 - 4A. Since we need to maximize the bargain portion take A as zero.

Hence the area under bargain is 312. _________________

Support GMAT Club by putting a GMAT Club badge on your blog

Re: Please help ... Doubt :Venn diagrams problem [#permalink]
12 Aug 2010, 02:54

6

This post received KUDOS

Expert's post

7

This post was BOOKMARKED

praveengmat wrote:

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 “user-friendly” and “fast response time”, what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”

User-friendly 56% Fast response time 48% Bargain prices 42%

A. 312 B. 336 C. 360 D. 384 E. 420

Actually this question is easier than it seems to be:

Let's say we have 100 people, : 56 cited "User-friendly"; 48 cited "Fast response time"; 42 cited "Bargain prices";

Also 30 cited BOTH “user-friendly” and “fast response time”.

Question is: what is the maximum possible number of respondents who cited ONLY "bargain prices"?

The group who cited “user-friendly” OR “fast response time” has U+F-U&F=56+48-30=74 people;

As there are total of 100 people hence there are 100-74=26 people who cited neither “user-friendly” nor “fast response time”. Could all these 26 people cited "bargain prices"? As "bargain prices"=42>26, so YES.

So max possible # of people who cited ONLY "bargain prices" is 26, or transforming it back to the percents 26% --> 1200*26%=312.

Answer: A.

mainhoon wrote:

Ok, so in this case we want to maximize the set B (no overlap with U and F). Now, the number of people that belong to U or F = U + F - (UandF). Let me take a total set of 100 (reduce from 1200). Then U or F = 56 + 48 - 30 = 74. That leaves us with 100-74 = 26. In terms of 1200, then 26 x 12 = 312. That is (A). But I don't understand how B is 42%? This is confusing.

We've got that 42 cited "Bargain prices" and 26 cited ONLY "Bargain prices", so 42-26=16 ALSO cited either “user-friendly” or “fast response time” (or both).

The table (Please see the attached file) 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 “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?” A. 312 B. 336 C. 360 D. 384 E. 420

I wonder why it says maximum possible number of respondents.. People who cited "bargain prices but neither user-friendly nor fast response time will always be 26 % of 1200 or 312.

Is there any chance that they are more or less? Can anyone tell me 1 scenario with different percentages that can meet the information from stem and be different than 312?

The table (Please see the attached file) 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 “user-friendly” and “fast response time,” what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?” A. 312 B. 336 C. 360 D. 384 E. 420

I wonder why it says maximum possible number of respondents.. People who cited "bargain prices but neither user-friendly nor fast response time will always be 26 % of 1200 or 312.

Is there any chance that they are more or less? Can anyone tell me 1 scenario with different percentages that can meet the information from stem and be different than 312?

I merged your question to the earlier discussion of the same problem. Please refer to the solution above and ask if anything remains unclear.

Breakdown as follows: 672(UF), 576(FRT), 504(BP). For a total of 1752. Since 30% (360 ppl) like both UF & FRT we need to subtract 360 from the 1752 total. This leaves us with 1392. Now since 504 people like BP and we know that some ppl like both BP and one of the others, we need to determine the maximum # of ppl who like only BP. To maximize only BP, we need to account for the total difference between 1392 and 1200 (the total number of ppl surveyed). This leaves us with 192. Therefore, of the 504 ppl who like BP the maximum # of ppl who could like only BP is 504-192 = 312. Answer: A

Re: Please help ... Doubt :Venn diagrams problem [#permalink]
25 Sep 2013, 00:35

Bunuel wrote:

praveengmat wrote:

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 “user-friendly” and “fast response time”, what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”

User-friendly 56% Fast response time 48% Bargain prices 42%

Hope it helps.

Hi Bunuel

to increase my understanding I changed the bargain price value:

Bargain prices 24% (actual value is 42%)

then in percentages would the answer be 24% since 24%<26%? and would the venn diagram be the one I have attached?

Re: Please help ... Doubt :Venn diagrams problem [#permalink]
19 Nov 2013, 08:01

Bunuel wrote:

praveengmat wrote:

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 “user-friendly” and “fast response time”, what is the maximum possible number of respondents who cited “bargain prices,” but neither “user-friendly” nor “fast response time?”

User-friendly 56% Fast response time 48% Bargain prices 42%

A. 312 B. 336 C. 360 D. 384 E. 420

Actually this question is easier than it seems to be:

Let's say we have 100 people, : 56 cited "User-friendly"; 48 cited "Fast response time"; 42 cited "Bargain prices";

Also 30 cited BOTH “user-friendly” and “fast response time”.

Question is: what is the maximum possible number of respondents who cited ONLY "bargain prices"?

The group who cited “user-friendly” OR “fast response time” has U+F-U&F=56+48-30=74 people;

As there are total of 100 people hence there are 100-74=26 people who cited neither “user-friendly” nor “fast response time”. Could all these 26 people cited "bargain prices"? As "bargain prices"=42>26, so YES.

So max possible # of people who cited ONLY "bargain prices" is 26, or transforming it back to the percents 26% --> 1200*26%=312.

Answer: A.

mainhoon wrote:

Ok, so in this case we want to maximize the set B (no overlap with U and F). Now, the number of people that belong to U or F = U + F - (UandF). Let me take a total set of 100 (reduce from 1200). Then U or F = 56 + 48 - 30 = 74. That leaves us with 100-74 = 26. In terms of 1200, then 26 x 12 = 312. That is (A). But I don't understand how B is 42%? This is confusing.

We've got that 42 cited "Bargain prices" and 26 cited ONLY "Bargain prices", so 42-26=16 ALSO cited either “user-friendly” or “fast response time” (or both).

Hope it helps.

Hi Bunuel,

How do we know that there are no respondents who marked none of the 3 factors as important? In that case, the union won't be equal to 1200.

Shouldn't the question have mentioned clearly that the respondents mark atleast one of the factors as important?

Re: The table gives three factors to be considered when choosing [#permalink]
01 May 2015, 17:07

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Interested in applying for an MBA? In the fourth and final part of our live QA series with guest expert Chioma Isiadinso, co-founder of consultancy Expartus and former admissions...