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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Manufacturer
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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]
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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piyush_nitt
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Agree with SACXcramya wrote:The answer should be C
Since we are dealing with fractions lets take 1 as the total
Refer attachment.
Answer should be E
OA pls?
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anshulseth
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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.
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.
Asset
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vittalgmat
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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
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
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.
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.
