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16 Jul 2023, 05:51
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
67% (02:34) correct
33%
(02:58)
wrong
based on 250
sessions
History
Date
Time
Result
Not Attempted Yet
In a poll, 1200 participants expressed their preferences among candidates A, B, and C. Candidate A was favored by 54% of respondents, candidate B by 48%, and candidate C by 42%. If 30% of the respondents favored both candidates A and B, what is the maximum possible number of respondents who favored only candidate C?
(A) 25%
(B) 28%
(C) 30%
(D) 38%
(E) 40%
(A) 25%
(B) 28%
(C) 30%
(D) 38%
(E) 40%
There are 1200 respondents to a poll, each favouring their preference for candidates A, B, and C. 54% favoured A, 48% favoured B, and 42% favoured C, and 30% favoured both A and B. What is the largest possible number of respondents favouring C, but not C&B, nor C&A?
Archit3110
Major Poster
17 Jul 2023, 23:42
Kudos
Bookmarks
group over lap
total 1200
A 648 , B 576 and C 504
1200 = 648+576+504 - ( 360+x)
x is only C
x = 168
max can be of only C 504- 168 ; 336 /1200 ;
28%
total 1200
A 648 , B 576 and C 504
1200 = 648+576+504 - ( 360+x)
x is only C
x = 168
max can be of only C 504- 168 ; 336 /1200 ;
28%
Bunuel
05 Aug 2024, 14:38
Kudos
Bookmarks
maybe this image makes it clearer
Attachments
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