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 they buy product P but not product Q
2) 1/2 of the people surveyed said that they buy Product Q.
[spoiler]OA: C. Please explain how to solve[/spoiler]
Venn Diagrams
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You could do it using Venn diagrams, here since the answer choices are straight forward let us choose numbers;
Assume total of 6 people are there;
Statement 1: 1/3rd (or) 2 people buy product P alone(No info about Q and others) Insufficient
Statement 2: 1/2 (or) 3 people buy Q (include people who buy both, but not sure of others)
Together you know 2 buy P alone and 3 buy Q (also includes those who buy both)
Hence people who do not buy either is 6-(2+3) = 1.
Hence C
Assume total of 6 people are there;
Statement 1: 1/3rd (or) 2 people buy product P alone(No info about Q and others) Insufficient
Statement 2: 1/2 (or) 3 people buy Q (include people who buy both, but not sure of others)
Together you know 2 buy P alone and 3 buy Q (also includes those who buy both)
Hence people who do not buy either is 6-(2+3) = 1.
Hence C
sparkle6 wrote: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 they buy product P but not product Q
2) 1/2 of the people surveyed said that they buy Product Q.
[spoiler]OA: C. Please explain how to solve[/spoiler]
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We can take the total no. of people surveyed = 6sparkle6 wrote: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 they buy product P but not product Q
2) 1/2 of the people surveyed said that they buy Product Q.
[spoiler]OA: C. Please explain how to solve[/spoiler]
We have to find (Neither P nor Q)/6
(1) 1/3 of the people surveyed said they buy product P but not product Q implies (1/3) *(6) = 2; NOT sufficient.
(2) 1/2 of the people surveyed said that they buy Product Q implies (1/2) * 6 = 3; NOT sufficient.
Combining (1) and (2), 6 = 2 + 3 + (Neither P nor Q) implies Neither P nor Q = 1
So, the required ratio = 1/6; SUFFICIENT.
The correct answer is C.
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This question is a perfect candidate for solving using the Double Matrix Method.
If you're unfamiliar with the Double Matrix Method, his BTG article (and related videos) will get you started: https://www.beatthegmat.com/mba/2011/05/ ... question-1
Cheers,
Brent
If you're unfamiliar with the Double Matrix Method, his BTG article (and related videos) will get you started: https://www.beatthegmat.com/mba/2011/05/ ... question-1
Cheers,
Brent
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This problem can be solved using the two group formula
G1 + G2 - B + N = Total
G1 = only P + both
G2 = Only Q + both
So P + B + Q +B - B + N = total
Statement 1 - only info about P - no Q (insufficient)
Statement 2 - only info about B and B - no Q (insufficient)
1/2 + B + 1/3 - B + N = 1
the B's cancel out to get 5/6 + N = 1
N = 1/6
Because this is DS you don't have to solve, just get the formula to the point at which you can.
Take a free practice exam https://www.princetonreview.com/testfest.aspx
G1 + G2 - B + N = Total
G1 = only P + both
G2 = Only Q + both
So P + B + Q +B - B + N = total
Statement 1 - only info about P - no Q (insufficient)
Statement 2 - only info about B and B - no Q (insufficient)
1/2 + B + 1/3 - B + N = 1
the B's cancel out to get 5/6 + N = 1
N = 1/6
Because this is DS you don't have to solve, just get the formula to the point at which you can.
Take a free practice exam https://www.princetonreview.com/testfest.aspx
Becky
Master GMAT Instructor
The Princeton Review
Irvine, CA
Master GMAT Instructor
The Princeton Review
Irvine, CA