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# Favorable, Unfavorable and Not Sure stands for F, U, NS

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Director
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Favorable, Unfavorable and Not Sure stands for F, U, NS [#permalink]

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16 Feb 2006, 17:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Favorable, Unfavorable and Not Sure stands for F, U, NS respectively.

------------------F--U--NS
Candidate M 40 20 40
Candidate N 30 35 35

The table above shows the results of a survey of 100 voters each responded â€œfavorableâ€

Last edited by joemama142000 on 16 Feb 2006, 18:29, edited 2 times in total.
GMAT Club Legend
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16 Feb 2006, 18:39
(1) 40 people did not respond as 'favorable' for either candidate, so it means 40 people voted unsure or not favorable. We can gather 60 people voted favorable for either M or N, but we do not know of these, how many voted for both.

(2) Not useful.

Using 1) and 2), we still can't decide how many people voted favorable for both candidates.

I will take E for this one
Manager
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18 Feb 2006, 06:45
i think A should be the answer ... from A we know that only 60 of them voted favorable ....from truth table it shows 70 voted favorable for both M & N so 10 of them voted for favorable for both .

Data for B is insufficient .

I would picked A .

What is the OA ?
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18 Feb 2006, 09:21
Agree with ipc302. Same reason. What is the OA??
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18 Feb 2006, 09:31
I go for A too.

M=set of people who voted favorable for candidate M
N=set of people who voted favorable for candidate N

We are looking for |MΠN| i.e. the number of people who voted favorable for both M and N.

From 1) we have |MUN|=60 since MUN are the people who voted favorable for at least one candidate.

We know that: |MUN|=|M| + |N| - |MΠN|
hence 60=40+30-|MΠN|
<=> |MΠN|=10

2) is not sufficient.
Manager
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18 Feb 2006, 09:38
------------------F--U--NS
Candidate M 40 20 40
Candidate N 30 35 35
Both Cand... 60 [ 40 ]

number of voters who responded â€œfavorableâ€
Director
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18 Feb 2006, 15:42
the oa is A,

thanks guys. great explanations
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