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Directions: Study the following information carefully and answer accordingly.
In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.
The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.
Q. Find the ratio of boys who participated in Dancing to Girls who participated in Singing.
  • a)
    13 : 12
  • b)
    9 : 11
  • c)
    11 : 13
  • d)
    12 : 13
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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Directions: Study the following information carefully and answer acco...
Given
Ratio of Boys to Girls who participate in Dancing = 4 : 3
Ratio of Boys to Girls who participate in Singing = 8 : 13
Ratio of Boy to Girl who participates in both the events of Singing and Dancing = 2 : 1
Ratio of Boys to Girls who participate only in the Singing event = 1 : 2
Participation of boys in the Dancing event alone is 10 more than the Girls participation in Dancing alone
Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone
Concept:
Total participant in Dance = Participate only in Dance + Participate in both Dancing and Singing
Total participant in Singing = Participate only in Singing + Participate in both Dancing and Singing
Total participant in competition = Participate only in Dance + Participate in both Dancing and Singing + Participate only in Singing
Let the number of Girl participate only in dancing = x
So, the Number of Boys participate only in dancing = x + 10
Number of Boys participate in both Dancing and Singing = (20/100) x (x + 10)
⇒ (x+10)/5
Number of Girls participate in both Dancing and Singing =
⇒ 18x + 180 = 22x + 20
⇒ 4x = 160
⇒ x = 40
Number of Girl participate only in dancing = 40
Number of Boys participate only in dancing = 40 + 10 ⇒ 50
Number of Boys participate in both Dancing and Singing = (40+10)/5 ⇒ 10
Number of Girls participate in both Dancing and Singing = (40+10)/10 ⇒ 5
Number of Boys participate in dance = 50 + 10 ⇒ 60
Number of girls participate in dance = 40 + 5 ⇒ 45
Number of Boys in singing/Number of Girls in singing = 8/13
⇒ 40 + 16y = 130 + 13y
⇒ 3y = 90
⇒ y = 30
Number of Boys in singing only = 30
Number of Girls in singing only = 2 × 30 ⇒ 60
Number of Boys in singing = 30 + 10 ⇒ 40
Number of Girls in singing = 60 + 5 ⇒ 65
Ratio of boy who participated in Dancing to Girls who participated in Singing = 60 : 65 ⇒ 12 : 13
∴ Ratio of boy who participated in Dancing to Girls who participated in Singing is 12 : 13.
Hence, the correct option is (D).
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Community Answer
Directions: Study the following information carefully and answer acco...
Ratio of Boys who participated in Dancing to Girls who participated in Singing
- First, let's find the number of boys and girls who participated in dancing and singing events.
- Let the number of boys who participated in both events be 4x and the number of girls be 3x.
- Similarly, let the number of boys who participated only in singing be 2y and the number of girls be y.

Calculate the total number of boys and girls
- From the given information, we have:
- Boys who participated in both events: 4x
- Girls who participated in both events: 3x
- Boys who participated only in singing: 2y
- Girls who participated only in singing: y

Given Ratios
- Ratio of Boys to Girls who participate in Dancing and Singing: 4 : 3
- Ratio of Boys to Girls who participate in both events: 2 : 1
- Ratio of Boys to Girls who participate only in Singing: 1 : 2

Calculate the values of x and y
- From the given ratios, we can set up equations and solve for x and y:
- 4x / 3x = 4 / 3 (Ratio of Boys to Girls who participate in Dancing and Singing)
- 2y / y = 2 / 1 (Ratio of Boys to Girls who participate in both events)
- 2y / 3x = 1 / 2 (Ratio of Boys to Girls who participate only in Singing)

Final Step
- Once you find the values of x and y, you can calculate the total number of boys who participated in dancing and the total number of girls who participated in singing.
- Finally, find the ratio of boys who participated in dancing to girls who participated in singing. You will get the answer as 12 : 13.
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Directions: Study the following information carefully and answer accordingly.In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.Q. Find the ratio of participants who participated only in Dancing to only in Singing.

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Directions: Study the following information carefully and answer accordingly.In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.Q. Find the ratio of boys who participated in Dancing to Girls who participated in Singing.a)13 : 12b)9 : 11c)11 : 13d)12 : 13e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Directions: Study the following information carefully and answer accordingly.In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.Q. Find the ratio of boys who participated in Dancing to Girls who participated in Singing.a)13 : 12b)9 : 11c)11 : 13d)12 : 13e)None of theseCorrect answer is option 'D'. 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 following information carefully and answer accordingly.In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.Q. Find the ratio of boys who participated in Dancing to Girls who participated in Singing.a)13 : 12b)9 : 11c)11 : 13d)12 : 13e)None of theseCorrect answer is option 'D'. 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 following information carefully and answer accordingly.In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.Q. Find the ratio of boys who participated in Dancing to Girls who participated in Singing.a)13 : 12b)9 : 11c)11 : 13d)12 : 13e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Study the following information carefully and answer accordingly.In a competition, among a certain number of participants (Boy + Girl), some participate in both the events of Dancing and Singing while some of them participate in Singing or Dancing alone.The ratio of Boys to Girls who participate in Dancing and Singing is 4 : 3 and 8 : 13 respectively, while the ratio of Boy to Girl who participates in both the events of Singing and Dancing is 2 : 1 and the ratio of Boys to Girls who participate only in the Singing event is 1 : 2. The participation of boys in the Dancing event alone is 10 more than the Girls who participate in it. Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.Q. Find the ratio of boys who participated in Dancing to Girls who participated in Singing.a)13 : 12b)9 : 11c)11 : 13d)12 : 13e)None of theseCorrect answer is option 'D'. 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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Boys who participate in both Dancing and Singing is 20% of the Boys who participate in Dancing events alone.Q. Find the ratio of boys who participated in Dancing to Girls who participated in Singing.a)13 : 12b)9 : 11c)11 : 13d)12 : 13e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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