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Senior Manager
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I took nearly 5 minutes for this one [#permalink] New post 28 Jun 2005, 20:15
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I took nearly 5 minutes for this one.
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Senior Manager
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 [#permalink] New post 28 Jun 2005, 21:01
Sparky,

Please give some explanations.

Others - please show work as well.
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 [#permalink] New post 28 Jun 2005, 21:33
2) is suff.
100-30=70% like at least one, 40% like Mega, 30% like Jumbo so none like both Mega and Jumbo

1) insuff

there are 9 possible outcomes for how each individual would vote
call them x1...x9 9 unknowns

however we can construct only 6 equations
if we know that 10% both dislike J and M, we know only 1 unknown

we still are left with 2 extra variables that cannot be solved for
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 [#permalink] New post 29 Jun 2005, 06:46
Sparky,

Can you explain a bit more on the part about 9 variables?

Thanks
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 [#permalink] New post 29 Jun 2005, 11:33
for example,

for people who are indifferent to Jumbo cola
40 = x1+x2+x3
x1- Mllike Jindiff
x2 - Mdisllike Jindiff
x3 = M indiff J infiff

do the same for each percent entry in the table
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 [#permalink] New post 29 Jun 2005, 12:57
Quote:
2) is suff.
100-30=70% like at least one, 40% like Mega, 30% like Jumbo so none like both Mega and Jumbo


Out of these 70%, couldn't some be indifferent to either cola?[/u]
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 [#permalink] New post 29 Jun 2005, 13:35
Thanks sparky.

Is there a good book/site where there are many questions similar to this? I feel that Set theory is one of my last frontiers.
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 [#permalink] New post 29 Jun 2005, 13:59
NM wrote:
Quote:
2) is suff.
100-30=70% like at least one, 40% like Mega, 30% like Jumbo so none like both Mega and Jumbo


Out of these 70%, couldn't some be indifferent to either cola?[/u]


When 30% of the people don't answer 'like' for either Mea or Jumbo, this by itself includes both 'dislike' and 'indifferent' categories.
So 70% is just those who like either of the brands.



Good explanation Sparky.
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 [#permalink] New post 17 Aug 2005, 08:05
Are there other approaches to this qs?
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 [#permalink] New post 17 Aug 2005, 08:11
I don't understand the construction od equation piece in Sparky's explan.
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 [#permalink] New post 17 Aug 2005, 18:40
(1) 10% dislike both, so 45% dislike one or the other (35%+20%-10%). In other words, 55% like or is indifferent toward both Maga and Jumbo. However there's no sufficent data for us to separate the ones who like and the ones who is indifferent.

(2) 30% don't like either one. That means 70% likes one or the other. But from the chart there could be only 70% people who likes one or the other in the maximum, this is when 40% likes Jumbo and not the Mega, and 30% likes Maga and not Jumbo. Sufficient to tell that 0% people like both Maga and Jumbo.
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 [#permalink] New post 17 Aug 2005, 19:23
That explains! Thanks! I guess one doesn't need to go any further than that on a DS qs!
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  [#permalink] 17 Aug 2005, 19:23
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