least value venn diagram

[agganitk]

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 ??

[vaibhav.iit2002]

Its a nice prob.
Can u plz post its solution.

[vaibhav.iit2002]

@agganitk,

do u have its solution? Plz post if u have that.

[okigbo]

Is it B?

[grockit_jake]

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

[John Corn]

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