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by srn » Sun Apr 05, 2009 6:14 am
A manufacturer conducted a survey to determine how many people buy products P and Q. What fraction of the people surveyed said that they neither buy product P nor product Q?
a. 1/3 of the people surveyed said that they buy product P but not product Q.
b. 1/2 of the people surveyed said that they buy product Q.

Please explain how you came to the conclusion.
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by sacx » Sun Apr 05, 2009 10:56 am
Total = people buying product P only + people buying product Q only + people buying neither product P nor Q - people buying both product P and Q

Stmt I

only provides the information about people buying product P

Insufficient

Stmt II

only provides information about people buying product Q

Insufficient

Stmt I & II

provides information about people buying product P only and product Q only but does not provide information about the people buying both products

[spoiler]Insufficient

E[/spoiler]
SACX
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by cramya » Sun Apr 05, 2009 11:12 am
The answer should be C

Since we are dealing with fractions lets take 1 as the total

Refer attachment.
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P_Q.xls
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by piyush_nitt » Sun Apr 05, 2009 6:08 pm
cramya wrote:The answer should be C

Since we are dealing with fractions lets take 1 as the total

Refer attachment.
Agree with SACX

Answer should be E

OA pls?
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by anshulseth » Mon Apr 06, 2009 4:15 am
The answer should be E.

cramya, a major flaw in your reasoning is, that you are assuming that people buying both P and Q is 0, which may/may not be true.
So, we can't arrive at 0 for it.
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by vittalgmat » Mon Apr 06, 2009 1:01 pm
I agree with Cramya that the answer should be C.

here is my derivation.
From stmt1 we have P = 1/3
from stmt2 we have Q+PQ = 1/2. The stmt says that 1/2 of the ppl buy Q.
==> Only Q + both Q and P.


So fraction of neither/total = (1 - (1/2+1/3) / 1
= 1/6.


What is the OA?

rgds
-V
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by cramya » Mon Apr 06, 2009 1:58 pm
Vittal,
Replying to PM:

Yes it was a double matrix.

I have attached a more legible version.

Regards,
CR
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by ksbaskar » Mon Apr 06, 2009 8:47 pm
Agree with VittalGMAT

b. 1/2 of the people surveyed said that they buy product Q

Statement b implies that 1/2 the people bought Q. This would include those who bought only Q and those who bought both P and Q.

To, this set if we added those who bought only P, i.e., 1/3 of the people we get the set of people who bought at least one of the product P or Q.

Hence, those who did not buy any of these products will be 1/6th.
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