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by Mr.Hollywood » Thu Feb 09, 2012 4:39 pm
A survey result shows that 60% of the people like action movies, 70% of the people like comedy movies, what could be the percentage of people that like both action and comedy movies?

a 10%,
b 25%,
c 45%
d 60%
e 70%
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Source: — Problem Solving |

by [email protected] » Thu Feb 09, 2012 6:53 pm
Are you sure about the answer choices? My calculation shows 30% of people will like both movies since,
100=60+70-(Both)
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by artemodushev » Sat Feb 11, 2012 10:23 pm
Number of people who like action movies 60 then who don't 40%, who like comedy 70 who don't 30, so out of choices 45% is the possible number for number of people liking both comedies and action movies. Another possible choice as was mentioned earlier is 30% but it is not in the answer choices.
Ans: c
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by Mr.Hollywood » Sun Feb 12, 2012 11:49 pm
artemodushev wrote:Number of people who like action movies 60 then who don't 40%, who like comedy 70 who don't 30, so out of choices 45% is the possible number for number of people liking both comedies and action movies. Another possible choice as was mentioned earlier is 30% but it is not in the answer choices.
Ans: c
Thanks! I understand the 30 and 40 part of the question thanks to you. Can you further explain how would you get 45% please?
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by [email protected] » Mon Feb 13, 2012 12:33 am
A survey result shows that 60% of the people like action movies, 70% of the people like comedy movies, what could be the percentage of people that like both action and comedy movies?

a 10%,
b 25%,
c 45%
d 60%
e 70%


Could any of the experts please help me in this question. Kindly explain with the help of a diagram... According to me the answer should be 30%. But the other explanation is also not that bad. But please explain to me in more detail...
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by sanju09 » Mon Feb 13, 2012 5:29 am
[email protected] wrote:A survey result shows that 60% of the people like action movies, 70% of the people like comedy movies, what could be the percentage of people that like both action and comedy movies?

a 10%,
b 25%,
c 45%
d 60%
e 70%


Could any of the experts please help me in this question. Kindly explain with the help of a diagram... According to me the answer should be 30%. But the other explanation is also not that bad. But please explain to me in more detail...
The question seems to be missing potential information. We are not told if there is percent of people surveyed who do not like either. Besides, we are not supposed to zero in to the exact answer as the stem reads "what could be the percentage of people that like both action and comedy movies?" If every person surveyed likes one or the other kind of movies, then the exact answer would have been 30, which is neither in the choices nor is directly asked. Let's try the choices one by one to check its possibility.

A. 10 is not possible because (60 - 10) + 10 + (70 - 10) is already more than 100.
B. 25 is not possible because (60 - 25) + 25 + (70 - 25) is already more than 100.
C. 45 is possible because (60 - 45) + 45 + (70 - 45) is within 100.
D. Should be ignored on main test.
E. Should be ignored on main test.



[spoiler]Take C[/spoiler]
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by pemdas » Mon Feb 13, 2012 11:21 am
del solution for the reason of crappiness
mishandled two possible choices c and d as question seemingly lacks info on total # of the surveyed
Last edited by pemdas on Tue Feb 14, 2012 12:21 am, edited 2 times in total.
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by LalaB » Mon Feb 13, 2012 11:38 am
hm, strange enough. with such kind of thinking why do we ignore that all these 60 guys like both action and comedy movies? I mean 45% is the best from the worst. it means that the rest 15 guys (100-(60+70-45)) do smth(for example hate all movies). so why 60 cant be the answer? maybe all that 60 guys secretly love that movies? heh

sorry for that kind of questions. it is just too cold here to use my brain.heh there is some problem either with the question, or with me heh

what is the source of this q? just curious
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by pemdas » Mon Feb 13, 2012 12:20 pm
according to your take 60% of action movie fans are subset of the 70% of comedy fans, correct? If so, the number of people who like both matches the number of people who like action, i.e. 60%. While this is a possibility for the set in general, the question asks for the overlap. In this sense I have to agree about the choice 'd' being another possibility here.

knowing the number of total population could help us define the correct answer here. Say with some numbers, our set percentages may give non-integer values which are unacceptable. So we definitely need to know the number of population here to decide between the choices C and D (uncovered spoiler).
LalaB wrote:hm, strange enough. with such kind of thinking why do we ignore that all these 60 guys like both action and comedy movies? I mean 45% is the best from the worst. it means that the rest 15 guys (100-(60+70-45)) do smth(for example hate all movies). so why 60 cant be the answer? maybe all that 60 guys secretly love that movies? heh

sorry for that kind of questions. it is just too cold here to use my brain.heh there is some problem either with the question, or with me heh

what is the source of this q? just curious
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by LalaB » Mon Feb 13, 2012 12:29 pm
pemdas wrote:according to your take 60% of action movie fans are subset of the 70% of comedy fans, correct? If so, the number of people who like both matches the number of people who like action, i.e. 60%. While this is a possibility for the set in general, the question asks for the overlap. In this sense I have to agree about the choice 'd' being another possibility here.
yep, that was I meant.:) I read that q. and ignored it first, since I had doubts about its correctness. but later seeing how passionately everyone answered 45%, I couldnt keep silence anymore :)
thnx for understanding.so, the good news is that cold didnt freeze my brain.happy to know it heh
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by pemdas » Mon Feb 13, 2012 7:18 pm
hey Lala, as we are inhabitating the same city, accept my congratulations about one-week snow piles to start melting today. Soon you will get warmer as the temperature is going to rise in Baku.
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by LalaB » Mon Feb 13, 2012 10:03 pm
pemdas wrote:hey Lala, as we are inhabitating the same city, accept my congratulations about one-week snow piles to start melting today. Soon you will get warmer as the temperature is going to rise in Baku.
oh, thank you,pemdas :) the same congrats to you! you cant imagine how it is crucial to me, heh.I am in an anecdotical situation))) it was -3 Celsius degree in my house; even water in a teapot froze heh. (bad news-almost all my flowers are dead :( ). anyways, I am in a good mood, and sure no weather will apart me from gmat heh :)
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by ank_1 » Mon Feb 13, 2012 10:13 pm
Action Intersection Comedy can range from 30% to 60%. So, why can't 60 be the answer
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by pemdas » Mon Feb 13, 2012 10:52 pm
answer 60 is possible too.
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by sanju09 » Mon Feb 13, 2012 11:39 pm
pemdas wrote:This question rests on no major assumption.
choices 10%,25%,60% and 70% are out of consideration here, since they don't match the percentages in two groups. 30% is an obvious choice here, as 70% comedy fans allow for exactly this much of people to be either not liking action nor comedy and leaving (60-30)%. However, 30% is not in our answer choices and it's possible then (because the question asks COULD BE) only 45% of people like both comedy and action movies.
revision made in the following posts, as the question misses the number of total population.
This is very legitimate GMAT question based on simple logic and awareness of sets theory. Not any constraint is encountered here.

@sanju, this question is self-sufficient in itself, as it supplies the only correct choice here (by POE) - answer C.
How is 60 out of consideration? I have ignored it to communicate the best strategy on main test, and also I had already realized the question is missing potential information. Don't you still think so that one more edit is due on you?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
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