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least value venn diagram

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by agganitk » Sat Oct 10, 2009 11:28 am
According to a survey, at least 70% of people like apples, at least 75% like bananas and at least 80% like cherries. What is the minimum percentage of people who like all three?

A. 15%
B. 20%
C. 25%
D. 0%
E. 35%

Ans ??
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by vaibhav.iit2002 » Sun Oct 11, 2009 9:21 am
Its a nice prob.
Can u plz post its solution.
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by vaibhav.iit2002 » Sun Oct 18, 2009 6:29 am
@agganitk,

do u have its solution? Plz post if u have that.
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by okigbo » Mon Oct 19, 2009 9:57 am
Is it B?
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by grockit_jake » Mon Oct 19, 2009 10:08 am
Instead of looking at it like a Venn Diagram, it helps to me to think of 3 parallel number lines from 0 - 100

App: 1----------------------70

Ban: 25----------------------------100

Che: 1------25 70------------100

At this point, there is no space where all three are liked at the same point. But since this diagram only captures (25 + 30) 55%/80% for cherries, there is a remaining 25% left over.

Choice C
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by John Corn » Thu Oct 22, 2009 10:55 am
I see it in this way.

1-----------------------------------100%

You need to set the percentages of the people who do not like each fruit on a line which is leght=100%.

1----30%
Apple
1-----25%
Banana
1-------20%
Cherry
/---------------100%
Left=100-(30+25+20) = 25%
Choice=C

I hope this is clear
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