A manufacturer conducted a survey to determine how many people buy products P and 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 that they buy product P but not product Q
(2) 1/2 of the people surveyed said that they buy product Q
OA is C. Could someone explain? Thanks.
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- shuba
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A manufacturer conducted a survey
Last edited by shuba on Tue Mar 27, 2012 3:19 am, edited 6 times in total.
- RonPurewal
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Re: A manufacturer conducted a survey
hi,
if you have our strategy guides, note that (if we assume every respondent actually says whether he/she purchases each product, i.e., no non-responses) this problem is a perfectly straightforward application of the "double set matrix" device given in the word translations strategy guide. check it out.
if you have our strategy guides, note that (if we assume every respondent actually says whether he/she purchases each product, i.e., no non-responses) this problem is a perfectly straightforward application of the "double set matrix" device given in the word translations strategy guide. check it out.
- matthew.sanchez.ca
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Re: * A manufacturer conducted a survey
I also got this question from the official GMAT Prep software in my practice exam... I too had incorrectly answered E. The OA is C.
when trying to come to the OA, this is my line of reasoning:
I drew a Venn Diagram so I had a circle for
P + overlap+ Q, and a separate circle for Neither P nor Q.
(1) says 1/3 buy P but not Q.
since it does not tell me about the fraction of Q or neither P nor Q-insufficient.
(2) says 1/2 buy Q.
since it does not tell me about the fraction for P or neither P nor Q-insufficient.
Combined: 2/6 are in P circle, 3/6 are either in Q circle or the P&Q overlap => 1/6 are Neither P nor Q. so the answer is C.
is my reasoning correct?
when trying to come to the OA, this is my line of reasoning:
I drew a Venn Diagram so I had a circle for
P + overlap+ Q, and a separate circle for Neither P nor Q.
(1) says 1/3 buy P but not Q.
since it does not tell me about the fraction of Q or neither P nor Q-insufficient.
(2) says 1/2 buy Q.
since it does not tell me about the fraction for P or neither P nor Q-insufficient.
Combined: 2/6 are in P circle, 3/6 are either in Q circle or the P&Q overlap => 1/6 are Neither P nor Q. so the answer is C.
is my reasoning correct?
- RonPurewal
- Students
- Posts: 19744
- Joined: Tue Aug 14, 2007 8:23 am
Re: * A manufacturer conducted a survey
matthew.sanchez.ca Wrote:I also got this question from the official GMAT Prep software in my practice exam... I too had incorrectly answered E. The OA is C.
when trying to come to the OA, this is my line of reasoning:
I drew a Venn Diagram so I had a circle for
P + overlap+ Q, and a separate circle for Neither P nor Q.
(1) says 1/3 buy P but not Q.
since it does not tell me about the fraction of Q or neither P nor Q-insufficient.
(2) says 1/2 buy Q.
since it does not tell me about the fraction for P or neither P nor Q-insufficient.
Combined: 2/6 are in P circle, 3/6 are either in Q circle or the P&Q overlap => 1/6 are Neither P nor Q. so the answer is C.
is my reasoning correct?
If you use a venn diagram, then statement #1 is the crescent-moon-shaped part that's IN the "p" circle but NOT in the "q" circle. Statement #2 is the ENTIRE "q" circle. So, together, they make up the whole part inside the circles, with no overlap"”that's 1/2 + 1/3 = 5/6 of the respondents.
If that's true, then the "neither" people, i.e., the people who are outside both circles, must be the other 1/6 of the population.
Try setting up a double-set matrix"”it will basically always be easier than using a Venn diagram.
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