Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 24 Jul 2010
Posts: 8

The table gives three factors to be considered when choosing
[#permalink]
Show Tags
Updated on: 23 Feb 2016, 13:07
Question Stats:
65% (03:19) correct 35% (03:05) wrong based on 346 sessions
HideShow timer Statistics
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 Attachment:
table.JPG [ 15.63 KiB  Viewed 19684 times ]
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by praveengmat on 11 Aug 2010, 11:49.
Last edited by Bunuel on 23 Feb 2016, 13:07, edited 2 times in total.
Edited the question




Math Expert
Joined: 02 Sep 2009
Posts: 59561

The table gives three factors to be considered when choosing
[#permalink]
Show Tags
12 Aug 2010, 03:54
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 “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 Actually this question is easier than it seems to be: Let's say we have 100 people, : 56 cited "Userfriendly"; 48 cited "Fast response time"; 42 cited "Bargain prices"; Also 30 cited BOTH “userfriendly” and “fast response time”. Question is: what is the maximum possible number of respondents who cited ONLY "bargain prices"? The group who cited “userfriendly” OR “fast response time” has U+FU&F=56+4830=74 people; As there are total of 100 people hence there are 10074=26 people who cited neither “userfriendly” 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 10074 = 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 4226=16 ALSO cited either “userfriendly” or “fast response time” (or both). Hope it helps.




Senior Manager
Status: Time to step up the tempo
Joined: 24 Jun 2010
Posts: 327
Location: Milky way
Schools: ISB, Tepper  CMU, Chicago Booth, LSB

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
11 Aug 2010, 18:33
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 “userfriendly” and “fast response time”, what is the maximum possible number of respondents who cited “bargain prices,” but neither “userfriendly” nor “fast response time?” Userfriendly 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, UserFriendly  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 UserFriendly & Fast response time  (360  A). UserFriendly 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.



Manager
Joined: 23 Oct 2011
Posts: 80

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
25 Nov 2011, 17:13
ankur55 wrote: 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 “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 I wonder why it says maximum possible number of respondents.. People who cited "bargain prices but neither userfriendly 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?



Math Expert
Joined: 02 Sep 2009
Posts: 59561

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
03 Feb 2012, 04:07
SonyGmat wrote: ankur55 wrote: 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 “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 I wonder why it says maximum possible number of respondents.. People who cited "bargain prices but neither userfriendly 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. Hope it helps.



Senior Manager
Joined: 24 Aug 2009
Posts: 441
Schools: Harvard, Columbia, Stern, Booth, LSB,

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
22 Aug 2012, 02:07
Such type of logic based set questions are easy to solve using Venn diagram than using formula as it is easy to visualize in venn diagrams.
Give it a try using venn diagram, i am sure it will take much less time



Manager
Joined: 18 Oct 2011
Posts: 77
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01302013
GPA: 3.3

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
11 Feb 2013, 19:59
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 504192 = 312. Answer: A



Verbal Forum Moderator
Joined: 10 Oct 2012
Posts: 583

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
11 Feb 2013, 22:49
So we know that b+f = 26% Also, a+d = 18% Now, a+d+b+f+g+e=(26+18+30)% = 74% Thus, c = (10074)% = 26% Thus, c = 26*12 = The only option ending with a 2(as units digit) A.
Attachments
File comment: Venn Diagram
Venn.jpg [ 33.27 KiB  Viewed 15414 times ]
_________________



Intern
Joined: 22 Jul 2010
Posts: 26

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
25 Sep 2013, 01:35
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 “userfriendly” and “fast response time”, what is the maximum possible number of respondents who cited “bargain prices,” but neither “userfriendly” nor “fast response time?”
Userfriendly 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? PS: I am very bad in Set
Attachments
Venn Diag.jpg [ 41.1 KiB  Viewed 14444 times ]



Intern
Joined: 01 Feb 2013
Posts: 12
Location: India

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
19 Nov 2013, 09:01
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 “userfriendly” and “fast response time”, what is the maximum possible number of respondents who cited “bargain prices,” but neither “userfriendly” nor “fast response time?”
Userfriendly 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 "Userfriendly"; 48 cited "Fast response time"; 42 cited "Bargain prices"; Also 30 cited BOTH “userfriendly” and “fast response time”. Question is: what is the maximum possible number of respondents who cited ONLY "bargain prices"? The group who cited “userfriendly” OR “fast response time” has U+FU&F=56+4830=74 people; As there are total of 100 people hence there are 10074=26 people who cited neither “userfriendly” 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 10074 = 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 4226=16 ALSO cited either “userfriendly” 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? Thanks, Ishan



Senior Manager
Joined: 03 Apr 2013
Posts: 259
Location: India
Concentration: Marketing, Finance
GPA: 3

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
19 Jun 2016, 07:23
The method of sets is exactly what I used. Labeling the individual areas always works for me.



Senior Manager
Joined: 02 Apr 2014
Posts: 462
Location: India
GPA: 3.5

The table gives three factors to be considered when choosing
[#permalink]
Show Tags
11 Jan 2018, 08:52
N (Either "userfriendly" or "fast response time" or both) = N (user friendly) + N (fast response time)  N(both) = 56 + 48  30 = 74
N (Either "userfriendly" or "fast response time" or both) 74>26
58<42 N (bargain prices)
from above, min overlap between N(Either "userfriendly" or "fast response time" or both) and N(bargain prices) is 16 58<16><26> N (bargain prices)
so max (bargain prices neither userfriendly" nor "fast response time) = 26% so max = (26/100) * 1200 = 312



Manager
Joined: 22 Sep 2018
Posts: 240

Re: The table gives three factors to be considered when choosing
[#permalink]
Show Tags
05 Feb 2019, 12:19
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 "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 I got the answer without fully understanding how I got it. Could someone explain what I did right/what I did wrong? To maximize the # of people who only cited bargain prices we need to assume the number of people who cited bargain prices + 1 other factor to be 0. So we have 56% User Friendly (UF), 48% Fast time (F), 42% Bargain prices (b) We also know that UF&F = 30. We, however, do not know B&UF&F. We can make this value the lowest when we assume B&UF and B&F to be 0. So 56 + 48 + 42  30  all three = 100 all three = 16 42  16 = 26% 26% of 1200 = 312 (answer choice A) My question is in the last part. Typically you subtract 2 * all three since it is counted 3 times. But when I do that I get all three = 8% which gives me an answer of 408. In this case why do we do what we did above or If I got the answer coincidentally, what did I do wrong here?




Re: The table gives three factors to be considered when choosing
[#permalink]
05 Feb 2019, 12:19






