Tough Overlapping sets

abhi75 · Posted: Sat May 03, 2008 10:32 am Post subject: Tough Overlapping sets

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.

lunarpower · Posted: Thu May 08, 2008 12:42 am Post subject: Re: Tough Overlapping sets

explanation on the image (link attached)

the orange and blue are no accident. go gators!

click here to see the solution

abhi75 · Posted: Fri Jun 13, 2008 6:43 am Post subject:

Hey Ron,

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

-A

lunarpower · Posted: Fri Jun 13, 2008 10:42 am Post subject:

no problem - i'm glad you found it useful. that is a cool problem.

lunarpower · Posted: Sun Jun 15, 2008 4:59 pm Post subject: