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30 Jan 2019, 03:51
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
71% (02:07) correct
29%
(02:41)
wrong
based on 174
sessions
History
Date
Time
Result
Not Attempted Yet
In a survey conducted for three perfumes, it was found that 40% of the respondents used Fa, 25% used Havoc, 60% used Nido, 16% used none of the three perfumes whereas 15% of the respondents used exactly two of the three perfumes. What % of the respondents used all three perfumes?
A. 7%
B. 12%
C. 13%
D. 20%
E. 22%
A. 7%
B. 12%
C. 13%
D. 20%
E. 22%
30 Jan 2019, 04:44
Kudos
Bookmarks
selim
A very straight forward answer..
Total = Sum of each -sum of two together-2*all three+ neither
100=40+25+60-15-2*T+16
2T=25-15+16=26
T=13%
with Venn diagram..
40+25+60 = (a+b+d+e)+(b+c+e+f)+(d+e+f+g)=a+2b+c+2d+3e+2f+g=(a+b+c+d+e+f)+(b+d+f)+2g = (100-16)+15+2g=99+2g
2g=125-99=26...g=13
Attachments
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30 Jan 2019, 04:49
Kudos
Bookmarks
Total = Use Fa +Use Havoc + Use Nido + Use none - Use 2 of the perfumes - 2*(use all three perfumes) =100%
Translating into numbers:
100= 40+25+60+16-15-2X
where X is the percentage of respondents that used all 3 perfumes.
Solving the previous equation the result is X=13, so C should be the correct answer.
Translating into numbers:
100= 40+25+60+16-15-2X
where X is the percentage of respondents that used all 3 perfumes.
Solving the previous equation the result is X=13, so C should be the correct answer.
