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10 Jul 2017, 04:28
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C
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Difficulty:
95%
(hard)
Question Stats:
40% (03:12) correct
60%
(03:08)
wrong
based on 156
sessions
History
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Not Attempted Yet
A safari is held twice in a day either in the morning or in the evening. A person is allowed to participate in the safari in both the timings. A total of 108 people participate in the safari. The number of men and women in the safari are in the ratio 5 : 4. The total number of men who participate in the safari in the morning is 50 percent of the total number of men who participate in the safari. If every person participated in the safari at least once, what is the number of people who participate in the safari both in the morning and in the evening?
(1) The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.
(2) The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.
(1) The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.
(2) The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.
10 Jul 2017, 09:52
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Let the men participating in the safari only in the morning be x, and only in the evening be y.
Let the women participating in the safari only in the morning be a, and only in the evening be b.
From question stem,
Total guests : 108
Since they are in ratio 5:4, Men are 60 and Women are 48.
Men(morning) = 1/2*Men(Total)
Therefore, Men(morning) = x + Both = 30
x + y + Both = 60, so y = 30.
a + b + Both = 48
1. The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.
\(x = \frac{4a}{5}\)
\(y = 2b\) -> \(b = 15\)
This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)
2. The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.
\(b = \frac{3a}{5}\)
This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)
Combining the information from both the statements,
a = 25,b=15
\(x = \frac{4a}{5} = 20\) | \(y = \frac{6a}{5} = 30\)
Both(men) = 10
Both(women) = 8
From this information, we can find out the total number of people who participated in both safaris are 18(Option C)
Let the women participating in the safari only in the morning be a, and only in the evening be b.
From question stem,
Total guests : 108
Since they are in ratio 5:4, Men are 60 and Women are 48.
Men(morning) = 1/2*Men(Total)
Therefore, Men(morning) = x + Both = 30
x + y + Both = 60, so y = 30.
a + b + Both = 48
1. The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.
\(x = \frac{4a}{5}\)
\(y = 2b\) -> \(b = 15\)
This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)
2. The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.
\(b = \frac{3a}{5}\)
This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)
Combining the information from both the statements,
a = 25,b=15
\(x = \frac{4a}{5} = 20\) | \(y = \frac{6a}{5} = 30\)
Both(men) = 10
Both(women) = 8
From this information, we can find out the total number of people who participated in both safaris are 18(Option C)
