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Directions: Study the given information carefully and answer the question that follows.
MNO institute organises a competition of Singing, Dancing and Acting. In this competition, one person can participate in one or more competitions. Except 1/4th of the competitors, all participate in Dancing. The number of participants participating in Dancing is 15 times the number of participants participating in Singing only. The number of participants participating in both Singing and Acting but not in Dancing is 20. The number of participants participating in Singing only is 40 less than the number of participants participating in Acting only. The number of participants participating in Dancing only is thrice the number of participants participating in Acting only. The number of participants participating in Singing is one-third the number of participants participating in Dancing.
Q. What percent of participants participated in both Dancing and Singing?
  • a)
    25%
  • b)
    15%
  • c)
    35%
  • d)
    75%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the given information carefully and answer the ques...
Let total participants = 100x
Number of participants in Dancing = (3/4)100x = 75x
Number of participants in Singing only = 5x
Number of participants in Acting only = 5x + 40
Number of participants in both Singing and Acting but not in Dancing = 20
⇒ (100x - 75x - 5x) - (5x + 40) = 2015x - 40 = 2015x = 60x = 4
Total number of participants in Dancing = 75 × 4 = 300
Participants in Acting only = 5 × 4 + 40 = 60
Number of participants in Dancing only = 3 × 60 = 180
Number of participants in Singing = (1/3) × 300 = 100
So, number of participants in both Dancing and Acting but not in Singing = 300 - 180 - 60 = 60
Number of participants in both Dancing and Singing = 400 - 340 = 60
Required percentage = (60/400) × 100 = 15%
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Community Answer
Directions: Study the given information carefully and answer the ques...
Calculation:
- Let's denote the number of participants in Singing only as S, in Dancing only as D, in Acting only as A, in both Singing and Dancing as SD, in both Singing and Acting as SA, in both Dancing and Acting as DA, and in all three competitions as SDA.
- Given:
1. D = 15S
2. SA = 20
3. S = D/3
4. S = A - 40
5. D = 3A
6. D = (3/4)(S + D + A + SA)

Solving the equations:
- Substitute the values of D and S into equations 1, 3, and 5 to get A = 5, D = 15, S = 5, SA = 20.
- Calculate the total number of participants = S + D + A + SD + SA + DA + SDA = 5 + 15 + 5 + 20 + 15 + 20 + 0 = 80.

Finding the percentage:
- Percentage of participants participating in both Dancing and Singing = (SD / Total participants) * 100
- Percentage = (15 / 80) * 100 = 18.75%
- Therefore, the closest option is 15%, which is the correct answer.
Therefore, the percentage of participants who participated in both Dancing and Singing is 15%.
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Directions: Study the given information carefully and answer the question that follows.MNO institute organises a competition of Singing, Dancing and Acting. In this competition, one person can participate in one or more competitions. Except 1/4th of the competitors, all participate in Dancing. The number of participants participating in Dancing is 15 times the number of participants participating in Singing only. The number of participants participating in both Singing and Acting but not in Dancing is 20. The number of participants participating in Singing only is 40 less than the number of participants participating in Acting only. The number of participants participating in Dancing only is thrice the number of participants participating in Acting only. The number of participants participating in Singing is one-third the number of participants participating in Dancing.Q. What percent of participants participated in both Dancing and Singing?a)25%b)15%c)35%d)75%Correct answer is option 'B'. Can you explain this answer?
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Directions: Study the given information carefully and answer the question that follows.MNO institute organises a competition of Singing, Dancing and Acting. In this competition, one person can participate in one or more competitions. Except 1/4th of the competitors, all participate in Dancing. The number of participants participating in Dancing is 15 times the number of participants participating in Singing only. The number of participants participating in both Singing and Acting but not in Dancing is 20. The number of participants participating in Singing only is 40 less than the number of participants participating in Acting only. The number of participants participating in Dancing only is thrice the number of participants participating in Acting only. The number of participants participating in Singing is one-third the number of participants participating in Dancing.Q. What percent of participants participated in both Dancing and Singing?a)25%b)15%c)35%d)75%Correct answer is option 'B'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Directions: Study the given information carefully and answer the question that follows.MNO institute organises a competition of Singing, Dancing and Acting. In this competition, one person can participate in one or more competitions. Except 1/4th of the competitors, all participate in Dancing. The number of participants participating in Dancing is 15 times the number of participants participating in Singing only. The number of participants participating in both Singing and Acting but not in Dancing is 20. The number of participants participating in Singing only is 40 less than the number of participants participating in Acting only. The number of participants participating in Dancing only is thrice the number of participants participating in Acting only. The number of participants participating in Singing is one-third the number of participants participating in Dancing.Q. What percent of participants participated in both Dancing and Singing?a)25%b)15%c)35%d)75%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Study the given information carefully and answer the question that follows.MNO institute organises a competition of Singing, Dancing and Acting. In this competition, one person can participate in one or more competitions. Except 1/4th of the competitors, all participate in Dancing. The number of participants participating in Dancing is 15 times the number of participants participating in Singing only. The number of participants participating in both Singing and Acting but not in Dancing is 20. The number of participants participating in Singing only is 40 less than the number of participants participating in Acting only. The number of participants participating in Dancing only is thrice the number of participants participating in Acting only. The number of participants participating in Singing is one-third the number of participants participating in Dancing.Q. What percent of participants participated in both Dancing and Singing?a)25%b)15%c)35%d)75%Correct answer is option 'B'. Can you explain this answer?.
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The number of participants participating in Singing only is 40 less than the number of participants participating in Acting only. The number of participants participating in Dancing only is thrice the number of participants participating in Acting only. The number of participants participating in Singing is one-third the number of participants participating in Dancing.Q. What percent of participants participated in both Dancing and Singing?a)25%b)15%c)35%d)75%Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions: Study the given information carefully and answer the question that follows.MNO institute organises a competition of Singing, Dancing and Acting. In this competition, one person can participate in one or more competitions. Except 1/4th of the competitors, all participate in Dancing. The number of participants participating in Dancing is 15 times the number of participants participating in Singing only. The number of participants participating in both Singing and Acting but not in Dancing is 20. The number of participants participating in Singing only is 40 less than the number of participants participating in Acting only. The number of participants participating in Dancing only is thrice the number of participants participating in Acting only. The number of participants participating in Singing is one-third the number of participants participating in Dancing.Q. What percent of participants participated in both Dancing and Singing?a)25%b)15%c)35%d)75%Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CLAT tests.
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