A manufacturer conducted a survey to determine how many : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 07:22

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A manufacturer conducted a survey to determine how many

Author Message
Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

Kudos [?]: 1 [0], given: 0

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

### Show Tags

13 Aug 2006, 03:52
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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 Q
2)1/2 of the people surveyed said that they buy Product Q.

I thought E was a slamdunked answer, I guess I was wrong. What am I missing here?

Current Student
Joined: 29 Jan 2005
Posts: 5238
Followers: 25

Kudos [?]: 378 [0], given: 0

### Show Tags

13 Aug 2006, 04:00
I would have guessed (E) too.
Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

Kudos [?]: 1 [0], given: 0

### Show Tags

13 Aug 2006, 04:09
Yeah was shocked to find out the OA
Intern
Joined: 08 May 2006
Posts: 19
Followers: 0

Kudos [?]: 0 [0], given: 0

### Show Tags

13 Aug 2006, 04:10

From 1) we get the no of people who buy Product P but not Q. 1/3

From 2) we get the no of people who buy Product Q : 1/2

A U B = A + B - AB
total = 1

People who bought neither P nor Q 1 - 1/2-1/3 = 1/6

So we can get to the answer using both.
Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

Kudos [?]: 1 [0], given: 0

### Show Tags

13 Aug 2006, 05:19
Hi Achiles,

Yup the equation you gave us is correct AUB= A+B-AB, however from 1 1/3 is not equal to A From 2, 1/2 is equal to B. So combined we neither have A nor AB. AUB does not necessarily equal 1.

Thanks
Senior Manager
Joined: 14 Jul 2006
Posts: 281
Followers: 1

Kudos [?]: 1 [0], given: 0

### Show Tags

13 Aug 2006, 05:38
Hi guys,

My mistake upon further inspection the sum of 1/2 and 1/3 does in fact represent PUQ. My bad.

Thanks
Senior Manager
Joined: 19 Jul 2006
Posts: 361
Followers: 2

Kudos [?]: 6 [0], given: 0

### Show Tags

13 Aug 2006, 08:14
C

This can be easily Solved using venn diagram.

Diagram consisits of 3 region:

from (1) Buy P only P= 1/3
from (2) Buy Pand Q both + Buy Q only = 1/2

So PUQ = 1/3 + 1/2 = 5/6

people buy neither product P nor product Q = 1- (5/6) = 1/6
Senior Manager
Joined: 21 Jun 2006
Posts: 285
Followers: 1

Kudos [?]: 113 [0], given: 0

### Show Tags

13 Aug 2006, 17:31
I suggest drawing a matrix of all options and filling out ..
Option is C

1-(1/3+1/2)
SVP
Joined: 30 Mar 2006
Posts: 1737
Followers: 1

Kudos [?]: 78 [0], given: 0

### Show Tags

14 Aug 2006, 01:39
C

1) 1/3 use only P. No information on Q Hence Insuff

2) 1/2 use Q. No information on P Hence Insuff.

Together

The 1/2 people who use Q also include people who use Q and P
Total using P and Q = 1/3 + 1/2 = 5/6

Hence people using neither = 1-5/6 = 1/6
Suff
14 Aug 2006, 01:39
Display posts from previous: Sort by