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BillyZ
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11 Feb 2017, 20:52
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
69% (01:57) correct
31%
(02:06)
wrong
based on 650
sessions
History
Date
Time
Result
Not Attempted Yet
A market research company surveyed users of the toothpaste industry's two most popular brands, Brand X and Brand Y. If each person contacted reported that they used at least one of the two brands, what percent of respondents reported that they only use Brand Y?
(1) Among the respondents, the ratio of those who reported that they use Brand Y to those who reported that they use Brand X was \(3:2\).
(2) Among the respondents who reported that they use Brand X, one half also use Brand Y.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) Among the respondents, the ratio of those who reported that they use Brand Y to those who reported that they use Brand X was \(3:2\).
(2) Among the respondents who reported that they use Brand X, one half also use Brand Y.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
12 Feb 2017, 00:00
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ziyuenlau
Hi..
Info from the Q :- all of the person use ATLEAST one of the brands..
Let's see the statements..
(1) Among the respondents, the ratio of those who reported that they use Brand Y to those who reported that they use Brand X was \(3:2\).
we do not know how many use both so insufficient
Say all using brand Y use brand X then 3:2 or 3z:2z would mean that 2z is part of 3z, that is 2z use both and z use ONLY x..
Ans is 0 for Y..
But say none use both, so 2z out of (3z+2z) use Y, thus %=2z/5z *100=40%..
Different answers possible
Insufficient
(2) Among the respondents who reported that they use Brand X, one half also use Brand Y.
So if x use X, then 1/2*x use both, nothing about ONLY y..
Insufficient..
Combined..
3z and 2z is X and Y...
And from II, 3z/2 is common, so total = 3z+2z-3z/2=7z/2..
Only Y =2z-3z/2=z/2..
%=(z/2)/(7z/2) * 100= 100/7%
Suff
C
06 Sep 2017, 22:16
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The question is asking for the ratio Z
Z = (y-only) / (x-only + y-only + both)
1. "Among the respondents, the ratio of those who reported that they use Brand Y to those who reported that they use Brand X was 3:2"
=> (y-only + both) / ( x-only + both) = 3/ 2
=> both = 2y - 3x
Insuff.
2. "Among the respondents who reported that they use Brand X, one half also use Brand Y."
=> x-only = both
Insuff.
(1+2) => 2y - 3x = x = both
=> y = 2x = both
=> Z = 2x / ( x + 2x + x) = 1/2
C is suff.
Posted from my mobile device
Z = (y-only) / (x-only + y-only + both)
1. "Among the respondents, the ratio of those who reported that they use Brand Y to those who reported that they use Brand X was 3:2"
=> (y-only + both) / ( x-only + both) = 3/ 2
=> both = 2y - 3x
Insuff.
2. "Among the respondents who reported that they use Brand X, one half also use Brand Y."
=> x-only = both
Insuff.
(1+2) => 2y - 3x = x = both
=> y = 2x = both
=> Z = 2x / ( x + 2x + x) = 1/2
C is suff.
Posted from my mobile device
07 Jun 2018, 07:00
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chetan2u
I think 3z is supposed to be Y and 2z is supposed to be X
Posted from my mobile device
