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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. How many participants were there in the competition?
- a)200
- b)185
- c)205
- d)194
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
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Directions: Study the following information carefully and answer acco...
Introduction:
The given information provides ratios of participants in various events (Dancing, Singing) and their intersections. We are required to determine the total number of participants in the competition.
Given Information:
1. Ratio of Boys to Girls who participate in Dancing and Singing = 4:3
2. Ratio of Boys to Girls who participate in Dancing only = 8:13
3. Ratio of Boys to Girls who participate in both Dancing and Singing = 2:1
4. Ratio of Boys to Girls who participate in Singing only = 1:2
5. Boys participating in Dancing only is 10 more than Girls participating in Dancing only
6. Boys participating in both Dancing and Singing is 20% of Boys participating in Dancing only
Solution:
Step 1: Determine the ratio of Boys to Girls participating in Dancing and Singing:
Let the common ratio between Boys and Girls be 'x'.
Boys participating in Dancing and Singing = 4x
Girls participating in Dancing and Singing = 3x
Step 2: Determine the ratio of Boys to Girls participating in Dancing only:
Boys participating in Dancing only = 8x
Girls participating in Dancing only = 13x
Step 3: Determine the ratio of Boys to Girls participating in both Dancing and Singing:
Boys participating in both Dancing and Singing = 2x
Girls participating in both Dancing and Singing = x
Step 4: Determine the ratio of Boys to Girls participating in Singing only:
Boys participating in Singing only = (Boys participating in Dancing and Singing) - (Boys participating in both Dancing and Singing) = 4x - 2x = 2x
Girls participating in Singing only = (Girls participating in Dancing and Singing) - (Girls participating in both Dancing and Singing) = 3x - x = 2x
Step 5: Determine the number of Boys and Girls participating in Dancing only:
Boys participating in Dancing only = Girls participating in Dancing only + 10
8x = 13x + 10
5x = 10
x = 2
Step 6: Determine the number of Boys and Girls participating in each event:
Boys participating in Dancing and Singing = 4x = 4(2) = 8
Girls participating in Dancing and Singing = 3x = 3(2) = 6
Boys participating in Dancing only = 8x = 8(2) = 16
Girls participating in Dancing only = 13x = 13(2) = 26
Boys participating in both Dancing and Singing = 2x = 2(2) = 4
Girls participating in both Dancing and Singing = x = 2
Boys participating in Singing only = 2x = 2(2) = 4
Girls participating in Singing only = 2x = 2(2) = 4
Step 7: Determine the total number of participants:
Total participants = Boys participating in Dancing and Singing + Girls participating in Dancing and Singing + Boys participating in Dancing only + Girls
The given information provides ratios of participants in various events (Dancing, Singing) and their intersections. We are required to determine the total number of participants in the competition.
Given Information:
1. Ratio of Boys to Girls who participate in Dancing and Singing = 4:3
2. Ratio of Boys to Girls who participate in Dancing only = 8:13
3. Ratio of Boys to Girls who participate in both Dancing and Singing = 2:1
4. Ratio of Boys to Girls who participate in Singing only = 1:2
5. Boys participating in Dancing only is 10 more than Girls participating in Dancing only
6. Boys participating in both Dancing and Singing is 20% of Boys participating in Dancing only
Solution:
Step 1: Determine the ratio of Boys to Girls participating in Dancing and Singing:
Let the common ratio between Boys and Girls be 'x'.
Boys participating in Dancing and Singing = 4x
Girls participating in Dancing and Singing = 3x
Step 2: Determine the ratio of Boys to Girls participating in Dancing only:
Boys participating in Dancing only = 8x
Girls participating in Dancing only = 13x
Step 3: Determine the ratio of Boys to Girls participating in both Dancing and Singing:
Boys participating in both Dancing and Singing = 2x
Girls participating in both Dancing and Singing = x
Step 4: Determine the ratio of Boys to Girls participating in Singing only:
Boys participating in Singing only = (Boys participating in Dancing and Singing) - (Boys participating in both Dancing and Singing) = 4x - 2x = 2x
Girls participating in Singing only = (Girls participating in Dancing and Singing) - (Girls participating in both Dancing and Singing) = 3x - x = 2x
Step 5: Determine the number of Boys and Girls participating in Dancing only:
Boys participating in Dancing only = Girls participating in Dancing only + 10
8x = 13x + 10
5x = 10
x = 2
Step 6: Determine the number of Boys and Girls participating in each event:
Boys participating in Dancing and Singing = 4x = 4(2) = 8
Girls participating in Dancing and Singing = 3x = 3(2) = 6
Boys participating in Dancing only = 8x = 8(2) = 16
Girls participating in Dancing only = 13x = 13(2) = 26
Boys participating in both Dancing and Singing = 2x = 2(2) = 4
Girls participating in both Dancing and Singing = x = 2
Boys participating in Singing only = 2x = 2(2) = 4
Girls participating in Singing only = 2x = 2(2) = 4
Step 7: Determine the total number of participants:
Total participants = Boys participating in Dancing and Singing + Girls participating in Dancing and Singing + Boys participating in Dancing only + Girls
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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
Total participant in competition = (50 + 40) +(10 + 5) + (30 + 60)
⇒ 90 + 15 + 90
⇒ 195
∴ Total 195 participants were there in the competition.
Hence, the correct option is (E).
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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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer?
Question Description
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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer?.
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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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Here you can find the meaning of 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer?, a detailed solution 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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. How many participants were there in the competition?a)200b)185c)205d)194e)None of theseCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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