Comprehension
There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.
Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.
The following facts are also known:
1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.
Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.
The following facts are also known:
1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.
Question: 1
How many boys are there in the class?
How many boys are there in the class?
Updated On: Jul 8, 2024
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Correct Answer: 50
Solution and Explanation
There re 50 bys in the class.
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Question: 2
Which of the following can be determined from the given information?
I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.
II. The number of female dancers who are interested in attending a 1-day event.
Which of the following can be determined from the given information?
I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.
II. The number of female dancers who are interested in attending a 1-day event.
I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.
II. The number of female dancers who are interested in attending a 1-day event.
Updated On: Aug 22, 2024
- Neither I nor II
- Both I and II
- Only I
- Only II
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The Correct Option is D
Solution and Explanation
Only II
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Question: 3
What fraction of the class are interested in attending a 2-day event?
What fraction of the class are interested in attending a 2-day event?
Updated On: Aug 22, 2024
- \(\frac{7}{10}\)
- \(\frac{9}{13}\)
- \(\frac{7}{13}\)
- \(\frac{2}{3}\)
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The Correct Option is C
Solution and Explanation
7/13 fraction of the class are interested in attending a 2-day event
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Question: 4
What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?
What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?
Updated On: Aug 20, 2024
- 5 or 6
- 4 or 6
- 5
- 6
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The Correct Option is A
Solution and Explanation
Only 5 or 6 male dancers were interested in attending the1-day event
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Question: 5
How many female dancers are interested in attending a 2-day event?
How many female dancers are interested in attending a 2-day event?
Updated On: Aug 22, 2024
- 0
- 2
- Cannot be determined
- 1
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The Correct Option is A
Solution and Explanation
No female dancers were interested in attending a 2-day event
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