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# I took nearly 5 minutes for this one

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Senior Manager
Joined: 30 May 2005
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I took nearly 5 minutes for this one [#permalink]  28 Jun 2005, 20:15
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
I took nearly 5 minutes for this one.
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Senior Manager
Joined: 30 May 2005
Posts: 373
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Sparky,

Others - please show work as well.
Director
Joined: 18 Apr 2005
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Location: Canuckland
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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
Senior Manager
Joined: 30 May 2005
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Sparky,

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

Thanks
Director
Joined: 18 Apr 2005
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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
Intern
Joined: 19 Aug 2004
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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]
Senior Manager
Joined: 30 May 2005
Posts: 373
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Kudos [?]: 7 [0], given: 0

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.
Manager
Joined: 04 Mar 2005
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Location: NYC
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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.
Manager
Joined: 09 Nov 2004
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Are there other approaches to this qs?
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Thanks!

Manager
Joined: 09 Nov 2004
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I don't understand the construction od equation piece in Sparky's explan.
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Thanks!

SVP
Joined: 03 Jan 2005
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(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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Manager
Joined: 09 Nov 2004
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That explains! Thanks! I guess one doesn't need to go any further than that on a DS qs!
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Thanks!

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