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Expert replies
by amp0201 » Tue May 01, 2012 6:37 pm
Q. 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.

Please answer along with explanation. Also is there a way if such problems can be solved using something similar to double-set matrix?
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Source: — Data Sufficiency |

by shantanu86 » Tue May 01, 2012 9:37 pm
Good question!!

IMO its [spoiler][A][/spoiler]

Explanation after some discussion :)
If you feel like it, hit thanks :)
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by Anurag@Gurome » Tue May 01, 2012 10:56 pm
amp0201 wrote:Q. 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.

Please answer along with explanation. Also is there a way if such problems can be solved using something similar to double-set matrix?
Let us assume that the number of voters who responded favorable for both candidates = N

Numbers of voters who responded favorable for at least one candidates = 40 + 30 - N = 70 - N

(1) The number of voters who did not respond favorable for either candidate was 40 implies the voters responded favorable for at least one 100 - 40 = 60 = 70 - N or N = 10; SUFFICIENT.

(2) The number of voters who responded unfavorable for both candidates was 10; NOT sufficient.

The correct answer is A.
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