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# Of 180 people who were asked if they had watched recent

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26 Jan 2014, 12:46
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Of 180 people who were asked if they had watched recent college basketball playoffs, 38 watched only game 1, 56 watched game 2, and 64 watched game 3. 20 people watched both game 2 and 3. Make a Venn diagram for this situation. How many people did not watch any of the games?
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26 Jan 2014, 22:58
Can somebody help me out with this question please?
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25 Feb 2014, 19:27
srgopinath wrote:
Of 180 people who were asked if they had watched recent college basketball playoffs, 38 watched only game 1, 56 watched game 2, and 64 watched game 3. 20 people watched both game 2 and 3. Make a Venn diagram for this situation. How many people did not watch any of the games?

This question seems to be incomplete. Whats the source & options?
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25 Feb 2014, 22:09
srgopinath wrote:
Of 180 people who were asked if they had watched recent college basketball playoffs, 38 watched only game 1, 56 watched game 2, and 64 watched game 3. 20 people watched both game 2 and 3. Make a Venn diagram for this situation. How many people did not watch any of the games?

As directed, make a Venn diagram. You will easily get the answer.

Attachment:

Ques3.jpg [ 24.13 KiB | Viewed 1201 times ]

The red area is 38 (Only Game 1 Watchers).
The light green region is 20 (people who watched game 2 and game 3 including people who watched all three games)
Orange and Yellow region combined will be 56 - 20 = 36 since the entire game 2 circle has 56 people.
Similarly the brown and dark green region together will be 64 - 20 = 44 since the entire game 3 circle has 64 people.

To get 'None', that is people who watch no games, from the total 180, we need to subtract people who watch at least one game i.e. all the people lying anywhere in the three circles

None = 180 - 38 - 20 - 36 - 44 = 42

NO of people who did not watch any game = 42
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1858 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Followers: 37 Kudos [?]: 1661 [0], given: 193 Re: Of 180 people who were asked if they had watched recent [#permalink] ### Show Tags 26 Feb 2014, 00:48 VeritasPrepKarishma wrote: srgopinath wrote: Of 180 people who were asked if they had watched recent college basketball playoffs, 38 watched only game 1, 56 watched game 2, and 64 watched game 3. 20 people watched both game 2 and 3. Make a Venn diagram for this situation. How many people did not watch any of the games? As directed, make a Venn diagram. You will easily get the answer. Attachment: Ques3.jpg The red area is 38 (Only Game 1 Watchers). The light green region is 20 (people who watched game 2 and game 3 including people who watched all three games) Orange and Yellow region combined will be 56 - 20 = 36 since the entire game 2 circle has 56 people. Similarly the brown and dark green region together will be 64 - 20 = 44 since the entire game 3 circle has 64 people. To get 'None', that is people who watch no games, from the total 180, we need to subtract people who watch at least one game i.e. all the people lying anywhere in the three circles None = 180 - 38 - 20 - 36 - 44 = 42 NO of people who did not watch any game = 42 Thanks a lot. I did create a Venn diagram, but missed the step highlighted None = 180 - 38 - 20 - 36 - 44 = 42 _________________ Kindly press "+1 Kudos" to appreciate Current Student Status: Everyone is a leader. Just stop listening to others. Joined: 22 Mar 2013 Posts: 993 Location: India GPA: 3.51 WE: Information Technology (Computer Software) Followers: 159 Kudos [?]: 1259 [0], given: 226 Re: Of 180 people who were asked if they had watched recent [#permalink] ### Show Tags 09 Jun 2014, 09:27 Here we are assuming that none has watched games 1 and 2, and 2 and 3. if that is true answer should be 42. Question does not look like a proper gmat style question. _________________ Piyush K ----------------------- Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison Don't forget to press--> Kudos My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New) Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction". Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 6830 Location: Pune, India Followers: 1926 Kudos [?]: 11963 [0], given: 221 Re: Of 180 people who were asked if they had watched recent [#permalink] ### Show Tags 09 Jun 2014, 20:55 PiyushK wrote: Here we are assuming that none has watched games 1 and 2, and 2 and 3. if that is true answer should be 42. Question does not look like a proper gmat style question. Note that we are not assuming that no one watched games 1 and 2 and games 2 and 3. What we know is that 36 people watched either only game 2 or only games 1 and 2 (not game 3). Similarly, we know that 44 people watched only game 3 or games 1 and 3 (not game 2). We don't need to segregate the numbers i.e. we don't need how many people watched only game 3 and how many watched games 1 and 3. They are all people who watched at least 1 game and hence we remove them from 180. We are interested in people who watched no game. Go back to the venn diagram given above and read the explanation given below it. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: Of 180 people who were asked if they had watched recent   [#permalink] 09 Jun 2014, 20:55
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