Tough Overlapping sets

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abhi75
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Topic: Tough Overlapping sets
PostSat May 03, 2008 10:32 am

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Favorable Unfavorable Not sure
Candidate M 40 20 40
Candidate N 30 35 35

The table above shows the results of a survey of 100 voters each responded "favorable" or "unfavorable" or "not sure" when asked about their impressions of candidate M and of candidate N. What was the number of voters who responded "favorable" for both candidates?

(1) The number of voters who did not respond "favorable" for either candidate was
40.
(2) The number of voters who responded "unfavorable" for both candidates was 10.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Can someone please explain how to solve this kind of problems. If the table is not clear please refer to the attached document.

Thanks in advance.
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lunarpower
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PostThu May 08, 2008 12:42 am

explanation on the image (link attached)

the orange and blue are no accident. go gators!

click here to see the solution

[editor: this link is broken - for an updated link, see below.]

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Last edited by lunarpower on Mon Nov 16, 2009 2:37 am; edited 1 time in total
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abhi75
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PostFri Jun 13, 2008 6:43 am

Hey Ron,

Thanks a lot for the solution. I really appreciate it.

-A
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lunarpower
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PostFri Jun 13, 2008 10:42 am

no problem - i'm glad you found it useful. that is a cool problem.
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lunarpower
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PostSun Jun 15, 2008 4:59 pm

lunarpower wrote:
no problem - i'm glad you found it useful. that is a cool problem.
haha, i just realized i posted the wrong answer on the solution sheet.

the reasoning is all correct, but the answer is supposed to be 'a'

just testing you guys.
really.

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lunarpower
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PostMon Nov 16, 2009 2:35 am

here's an updated link

http://www.postimage.org/image.php?v=gx1ffBD9

the answer still mistakenly says 'B' on the bottom of the page. (it's supposed to be (a))

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