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In a survey conducted to find out the readership of three Newspapers A

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Manager
Joined: 25 Jan 2010
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In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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01 Sep 2010, 15:10
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Difficulty:

95% (hard)

Question Stats:

22% (02:11) correct 78% (02:56) wrong based on 30 sessions

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In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all three newspapers. Find the minimum number of people who read both A and B but not C.

A)1
B)2
C)3
D)0
E)5

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Manager
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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01 Sep 2010, 22:44
Hi:
I wish I could draw a diagram to show you but by giving you number A and B, it might help a little.

A and B and C is 8 - that means A and B is at least 8. This seems trivial given the value intervals of A and B but definitely helps to think through how to minimize A and B but not C

A and B but not C = |A|-|B| - 8

So i would pick A=40 and B =50 to minimize the value to a 2.

Hope this helps.
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Joined: 10 Jul 2010
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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02 Sep 2010, 19:10
Why can't the answer be zero? 8 people read all three and zero people read exactly 2 papers. 12 people read just A, 42 people read just B, and 62 people read just C.

What am I missing? I don't see anything that says a required total readership number.
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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02 Sep 2010, 19:18
CFAforMe wrote:
Why can't the answer be zero? 8 people read all three and zero people read exactly 2 papers. 12 people read just A, 42 people read just B, and 62 people read just C.

What am I missing? I don't see anything that says a required total readership number.

Even I calculated 0. I think either the answer is wrong or something is missing in the question.

What is the source of the question?
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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02 Sep 2010, 20:29
My guess is there was supposed to be some overall number of readers. With that constraint you would then have situations that wouldn't be possible. Right now the only constraint is on the high end, not the low.
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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03 Sep 2010, 03:51
Originally I thought it could be 0 as well but if you really think about the size of A and B. the most they can have in common is 40 and least they can have in common is 10. In order to minimize what is in A and B but not C, we need to use the 10. So that A and B - A and B and C = A and B but not C. Some of you might think wht about A and C or B and C. Because A and B and C is given, it already excluded A&C + B&C. Actually made the problem easier to solve and also do not need the total number of readers in this case.
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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03 Sep 2010, 05:27
why least they can have common is 10? I do not see anything mentioned that can infer this.
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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04 Sep 2010, 14:21
Come think of it - you are right.... the answer should be 0. (After all, my intuition was correct...) The total number of reader is not provided.

One example that will give the "0" answer:

B=C= the same 70 people
A then would have the same 8 in common with B and C. A and B not C will be 0.

gurpreetsingh wrote:
why least they can have common is 10? I do not see anything mentioned that can infer this.

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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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04 Sep 2010, 17:52
something wrong with this question....source?
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Re: In a survey conducted to find out the readership of three Newspapers A  [#permalink]

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25 Apr 2017, 12:51
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Re: In a survey conducted to find out the readership of three Newspapers A &nbs [#permalink] 25 Apr 2017, 12:51
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