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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.
What is the ratio of the number of participants in Dancing only to that in Singing only?
  • a)
    7 : 1
  • b)
    8 : 1
  • c)
    9 : 1
  • d)
    10 : 1
  • e)
    11 : 1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the given information carefully and answer the ques...
Understanding the given information:
- 1/4th of the competitors do not participate in Dancing.
- Number of participants in Dancing = 15 * Number of participants in Singing only
- Number of participants in Singing and Acting only = 20
- Number of participants in Singing only = Number of participants in Acting only - 40
- Number of participants in Dancing only = 3 * Number of participants in Acting only
- Number of participants in Singing = 1/3 * Number of participants in Dancing

Solving the problem:
Let's assume the number of participants in Singing only as x.
- Number of participants in Dancing = 15x
- Number of participants in Singing and Acting only = 20
- Number of participants in Acting only = x + 40
- Number of participants in Dancing only = 3(x + 40)
- Number of participants in Singing = 1/3 * 15x = 5x
Now, we need to find the ratio of participants in Dancing only to Singing only.
Total participants in Dancing only = 15x - 20 (since 1/4th of participants do not participate)
Total participants in Singing only = x
Therefore, the ratio = (15x - 20) : x
Substitute the values of x:
= (15(5x) - 20) : 5x
= (75x - 20) : 5x
= 5(15x - 4) : 5x
= 15x - 4 : x

Final Answer:
So, the ratio of participants in Dancing only to Singing only is 15x - 4 : x.
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Community 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
Also, (100x - 75x - 5x) - (5x + 40) = 20
15x - 40 = 20
15x = 60
x = 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
Total number of participants = 60 + 180 + 100 + 60 = 400
Required ratio = 180 : 20 = 9 : 1
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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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. 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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams 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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. Can you explain this answer?.
Solutions 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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams. Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
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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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. Can you explain this answer?, a detailed solution 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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. 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.What is the ratio of the number of participants in Dancing only to that in Singing only?a)7 : 1b)8 : 1c)9 : 1d)10 : 1e)11 : 1Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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