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13 Jun 2019, 00:29
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D
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:
73% (02:45) correct
27%
(02:53)
wrong
based on 581
sessions
History
Date
Time
Result
Not Attempted Yet
Last year, a group of tourists planned to visit three places. Among the tourists, 44% went to Europe, 49% went to Asia and 39% went to Australia. If 12% of the tourists visited exactly two of the three mentioned places, and everyone visited at least one of the three places, then what percentage of the total tourists visited exactly one place?
A. 10%
B. 22%
C. 32%
D. 78%
E. 90%
A. 10%
B. 22%
C. 32%
D. 78%
E. 90%
13 Jun 2019, 03:16
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Percentage of tourists went to Europe, E=44
Percentage of tourists went to Asia, As= 49
Percentage of tourists went to Australia, Au= 39
Percentage of tourists went exactly 2 places= 12
Let Percentage of tourists went all 3 places= x
100= 44+49+39-12-2x
x=10
percentage of the total tourists visited exactly one place= 100=12-10=78
Percentage of tourists went to Asia, As= 49
Percentage of tourists went to Australia, Au= 39
Percentage of tourists went exactly 2 places= 12
Let Percentage of tourists went all 3 places= x
100= 44+49+39-12-2x
x=10
percentage of the total tourists visited exactly one place= 100=12-10=78
mangamma
General Discussion
07 Apr 2020, 03:27
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mangamma
Solution:
- o \(a+ b +c +d +e +f +g = 100\)…(i)
- o \(a + d+e +g = 44\)
o \(b + d + f + g = 49\)
o \(c + e + f + g = 39\)
o Adding above equations, we get
- o \(a + b + c + 2(d+e+f) + 3g = 44 + 49 + 39 = 132\)…(i)
- o \(d+e+f + 2g = 132 – 100 = 32\)…(iii)
o Now, \(d + e + f = 12\)
- o On substituting this value in equation (iii), we get
- \(12 + 2g = 32\)
\(2g = 32 – 12\)
\(g = 10\)
- o \(a+b+c+12 + 10 = 100\)
- o \(a+b+c = 100 - 22 = 78\)
