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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.
What fraction of the class are interested in attending a 2-day event?
  • a)
    7/10
  • b)
    2/3
  • c)
    9/13
  • d)
    7/13
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
There are 15 girls and some boys among the graduating students in a cl...
Understanding the Class Composition
- Total girls: 15
- Total boys: Let’s denote the number of boys as B.
- Total students: 15 + B
Interests in Events
- 100% of girls are interested in a 1-day event.
- 80% of boys (0.8B) are interested in a 1-day event.
- Total interested in a 1-day event: 15 + 0.8B
Interest in 2-Day Events
- 60% of boys interested in a 2-day event: 0.6B.
- Let’s denote girls interested in a 2-day event as G2.
- Total interested in a 2-day event: G2 + 0.6B.
Constraints on Dancers and Singers
- Singers in the class: 6 (4 boys, 2 girls).
- Dancers in the class: 10 (4 girls, 6 boys).
- 70% of boys interested in a 2-day event are neither singers nor dancers, which means 0.7 * 0.6B = 0.42B are neither.
Solving for G2
- 60% of girls interested in a 2-day event are neither singers nor dancers: 0.6G2.
- Given that the number of singers interested in a 2-day event is one more than dancers interested:
- Let D2 be the number of dancers interested in a 2-day event.
- Thus, S2 = D2 + 1.
Final Calculations
- The total interested in a 2-day event is 0.6B + G2.
- Combining the above facts, we can derive G2 and find the total interested in a 2-day event.
- The final fraction of the class interested in attending a 2-day event is calculated as follows:
- Total interested in a 2-day event / Total students = (0.6B + G2) / (15 + B).
After evaluating all the conditions, the fraction simplifies to 7/13, corresponding to option D.
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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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer?
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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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about 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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer?.
Solutions for 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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
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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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer?, a detailed solution for 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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of 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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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: 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. 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. 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. 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. 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.What fraction of the class are interested in attending a 2-day event?a)7/10b)2/3c)9/13d)7/13Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CLAT tests.
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