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The table below gives three factors to be considered when

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Director
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The table below gives three factors to be considered when [#permalink] New post 04 Feb 2006, 15:28
The table below gives three factors to be considered when choosing a mate and the percent of the 1200 respondents to a survey who cited that factor as important. If 30% of the respondents cited both "attractiveness" and "personality", what is the maximum possible number of respondents who cited "power" but niether "attractiveness" nor "personality"?

Factor-------------Percent of Respondents
1)Attractiveness------56%
2)Personality----------48%
3)Power---------------42%
Director
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 [#permalink] New post 04 Feb 2006, 17:01
26%?

I would draw a venn diagram for this..

Attractiveness and Personality: 30 %
To have max power and no attra,no personality, we need 0 for the follwoing cases:
Attr,Perso and power = 0
Attr,Power = 0
Pers,Power = 0
i.e Attr alone is 30
Persona alone is 18
Which leaves us with Power alone: 100 -( 30 + 26 + 18)
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 [#permalink] New post 05 Feb 2006, 11:22
willget800 wrote:
26%?

I would draw a venn diagram for this..

Attractiveness and Personality: 30 %
To have max power and no attra,no personality, we need 0 for the follwoing cases:
Attr,Perso and power = 0
Attr,Power = 0
Pers,Power = 0
i.e Attr alone is 30
Persona alone is 18
Which leaves us with Power alone: 100 -( 30 + 26 + 18)


u r doing a grt job.. but can u be more clear.. i am not able to follow it! pls!
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 [#permalink] New post 05 Feb 2006, 12:15
raz,

Please see the attached Venn diagram.

Given both Attr and Personality is 30% (this could include all three also)

Total = 42+56+48 = 156
The additional 56 should belong to X, Y, Z, 30-X

To the maximum value of Power (alone), we should take:

X = Y = Z = 0

Then

Attractiveness alone = 56% - 30% = 26%
Personality alone = 48%-30% = 18%
Power and Attr = 30%

Power alone = 100 - (18+26+30) = 26%

26% of 1200.
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  [#permalink] 05 Feb 2006, 12:15
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