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Results of a survey of 100 voters - Nice Question

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theCodeToGMAT Legendary Member
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Results of a survey of 100 voters - Nice Question

Post Tue Oct 08, 2013 11:58 pm
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}
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Post Mon Oct 14, 2013 2:56 am
For statement 1, it helps to realize that the distinction between "unfavorable" and "not sure" is no longer a real distinction; all that matters is "favorable" or NOT "favorable".

Once you have that, you can make the usual two-way table for overlapping sets.
On the columns, "M favorable", "M not favorable", "total".
On the rows, "N favorable", "N not favorable", "total".

The information in statement 2 doesn't distinguish in any way between the "favorable" people (in whom we are interested) and the "not sure" people (in whom we aren't).

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vipulgoyal Master | Next Rank: 500 Posts Default Avatar
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Post Thu Oct 10, 2013 1:24 am
Not favorable to both = 40
Remove overlapping to get either or = 20 + 40 + 35 + 35 - 40 (Both) = 90
So 90 are those who says not favorable (including Unfavorable or Not sure) to either M or N
Favorable to both M and N = 100 - 90 = 10
OA A

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lunarpower GMAT Instructor
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Post Mon Oct 14, 2013 2:56 am
For statement 1, it helps to realize that the distinction between "unfavorable" and "not sure" is no longer a real distinction; all that matters is "favorable" or NOT "favorable".

Once you have that, you can make the usual two-way table for overlapping sets.
On the columns, "M favorable", "M not favorable", "total".
On the rows, "N favorable", "N not favorable", "total".

The information in statement 2 doesn't distinguish in any way between the "favorable" people (in whom we are interested) and the "not sure" people (in whom we aren't).

_________________
Ron has been teaching various standardized tests for 20 years.

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Pueden hacerle preguntas a Ron en castellano
Potete chiedere domande a Ron in italiano
On peut poser des questions à Ron en français
Voit esittää kysymyksiä Ron:lle myös suomeksi

--

Quand on se sent bien dans un vêtement, tout peut arriver. Un bon vêtement, c'est un passeport pour le bonheur.

Yves Saint-Laurent

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Learn more about ron

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