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# A manufacture conducted a survey to determine how many

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Manager
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A manufacture conducted a survey to determine how many [#permalink]

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12 Jul 2008, 09:54
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A manufacture conducted a survey to determine how many people products P & Q. What fraction of the people surveyed said that they buy neither product P nor Product Q?

1) 1/3 of the people surveyed said they buy product P but not Q.
2) 1/2 said they buy product Q.

I am trying to use the P U Q = P + Q - (P n Q) + neither P nor Q. Can someone provide more guidance on this question?
Director
Joined: 27 May 2008
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Re: GMAT Prep - DS [#permalink]

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12 Jul 2008, 10:02
balboa wrote:
A manufacture conducted a survey to determine how many people products P & Q. What fraction of the people surveyed said that they buy neither product P nor Product Q?

1) 1/3 of the people surveyed said they buy product P but not Q.
2) 1/2 said they buy product Q.

I am trying to use the P U Q = P + Q - (P n Q) + neither P nor Q. Can someone provide more guidance on this question?

First, The formula written by you is wrong .... its just P U Q = P + Q - (P n Q)

if you have to include 'neither P nor Q' then the LHS will be 'All', not PUQ.

statement 1 : P - PnQ = 1/3
statement 2 : Q = 1/2
as per formula : All = P + Q - PnQ + neither P nor Q
1 = 1/2 + 1/3 + neither P nor Q ------------- using both (1) and (2)
'neither P nor Q' can be determined ---- answer C
Director
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Re: GMAT Prep - DS [#permalink]

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12 Jul 2008, 10:42
balboa wrote:
A manufacture conducted a survey to determine how many people products P & Q. What fraction of the people surveyed said that they buy neither product P nor Product Q?

1) 1/3 of the people surveyed said they buy product P but not Q.
2) 1/2 said they buy product Q.

I am trying to use the P U Q = P + Q - (P n Q) + neither P nor Q. Can someone provide more guidance on this question?

1 = (P u Q) + neither p nor Q
1= 1/3 + 1/2 + neithr p nor q

neither p nor Q = 1- (1/3 + 1/2)

ANS C
Manager
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Re: GMAT Prep - DS [#permalink]

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12 Jul 2008, 16:27
ocan solve this by using picking numbers ALSO consider the total population to be surveyed as 6

So according to the statement 1 we get that 1/3 buy P but not Q that is 2 ---insff
According to statemt 2 we get 1/2 buy product Q that is 3

Taking both together-----
So we can get 6-3-2 so we can reach the figure -- So suff
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Re: GMAT Prep - DS   [#permalink] 12 Jul 2008, 16:27
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