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Question type "Sets" (eg. OG13, no. 178)

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by talueng » Wed Nov 14, 2012 9:19 pm
OG13, p.177, no. 178:
Of the 300 subjects who participated in an experiment [...], 40 percent experience sweaty palms, 30 percent experienced vomiting, and 75 percent experienced dizziness. If all of the subjects experienced at least one of these effects and 35 percent of the subjects experienced exactly two of these effects, how many of the subjects experienced only one of these effects?
This is a common question type and I am constantly struggling with it. Some of these question I can answer easily when you can use a table to visualize the dependencies of the different sets (see OG13 p.144 for an example). But then there questions of the same type where a table cannot be used.

Are there any general pointers or solutions how to tackle just questions?[/i]
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Source: — Problem Solving |

by Jim@StratusPrep » Fri Nov 16, 2012 7:41 am
You can use a venn diagram with three sets here.

Tough to draw on this platform, but if you understand venn diagrams it will work well.
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by GaneshMalkar » Sat Nov 17, 2012 3:32 am
I have done it with venn diagram

SP = 120
V = 90
D = 225

Exactly 2 = 105

and Exactly 3 = ?

Total - Neither = Sp + V + D - (exactly 2) - 2(Exactly 3)

300 - 0 = 120 + 90 + 225 - 105 - 2(Exactly 3)

Exactly 3 = 15

Exactly 1 = Total - Exactly 2 - Exactly 3
= 300 - 105 - 15 = 180

Hope this helps....
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