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In the annual function at a school, 504 children participated.
The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.
Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?
- a)1 : 2
- b)2 : 1
- c)4 : 3
- d)3 : 2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In the annual function at a school, 504 children participated.The rat...
Given data:
- Total number of children participating in the annual function = 504
- Ratio of girls to boys = 5 : 3
- 20% of the girls participated in dance
- Remaining girls participated in solo song, group song, and drama in the ratio of 2 : 3 : 4 respectively
- Two-thirds of the boys participated in group song
- Remaining boys participated in solo song and dance in the ratio of 4 : 5 respectively
Calculating the number of girls and boys:
Let the total number of girls be 5x and the total number of boys be 3x. According to the given ratio, we have:
5x + 3x = 504
8x = 504
x = 63
Therefore, the total number of girls = 5x = 5 * 63 = 315
And the total number of boys = 3x = 3 * 63 = 189
Calculating the number of girls and boys participating in dance:
20% of the girls participated in dance. So, the number of girls participating in dance = (20/100) * 315 = 63
Since all the boys participated in either group song, solo song, or dance, we can calculate the number of boys participating in dance:
Total number of boys = Number of boys participating in group song + Number of boys participating in solo song + Number of boys participating in dance
Let the number of boys participating in dance be 4y. According to the given ratio, the number of boys participating in solo song = 5y.
So, we have:
189 = (2/3) * 189 + 5y + 4y
189 = 126 + 9y
9y = 63
y = 7
Therefore, the number of boys participating in dance = 4y = 4 * 7 = 28
And the number of boys participating in solo song = 5y = 5 * 7 = 35
Calculating the number of girls participating in solo song:
The remaining girls participated in solo song, group song, and drama in the ratio of 2 : 3 : 4 respectively.
Let the number of girls participating in solo song be 2z. According to the given ratio, the number of girls participating in group song = 3z and the number of girls participating in drama = 4z.
So, we have:
315 - 63 = 2z + 3z + 4z
252 = 9z
z = 28
Therefore, the number of girls participating in solo song = 2z = 2 * 28 = 56
Ratio of boys to girls participating in solo song:
The number of boys participating in solo song = 35
The number of girls participating in solo song = 56
Therefore, the ratio of boys to girls participating in solo song is 35 : 56, which can be simplified to 1 : 2.
Hence, the correct answer is option A) 1 : 2.
- Total number of children participating in the annual function = 504
- Ratio of girls to boys = 5 : 3
- 20% of the girls participated in dance
- Remaining girls participated in solo song, group song, and drama in the ratio of 2 : 3 : 4 respectively
- Two-thirds of the boys participated in group song
- Remaining boys participated in solo song and dance in the ratio of 4 : 5 respectively
Calculating the number of girls and boys:
Let the total number of girls be 5x and the total number of boys be 3x. According to the given ratio, we have:
5x + 3x = 504
8x = 504
x = 63
Therefore, the total number of girls = 5x = 5 * 63 = 315
And the total number of boys = 3x = 3 * 63 = 189
Calculating the number of girls and boys participating in dance:
20% of the girls participated in dance. So, the number of girls participating in dance = (20/100) * 315 = 63
Since all the boys participated in either group song, solo song, or dance, we can calculate the number of boys participating in dance:
Total number of boys = Number of boys participating in group song + Number of boys participating in solo song + Number of boys participating in dance
Let the number of boys participating in dance be 4y. According to the given ratio, the number of boys participating in solo song = 5y.
So, we have:
189 = (2/3) * 189 + 5y + 4y
189 = 126 + 9y
9y = 63
y = 7
Therefore, the number of boys participating in dance = 4y = 4 * 7 = 28
And the number of boys participating in solo song = 5y = 5 * 7 = 35
Calculating the number of girls participating in solo song:
The remaining girls participated in solo song, group song, and drama in the ratio of 2 : 3 : 4 respectively.
Let the number of girls participating in solo song be 2z. According to the given ratio, the number of girls participating in group song = 3z and the number of girls participating in drama = 4z.
So, we have:
315 - 63 = 2z + 3z + 4z
252 = 9z
z = 28
Therefore, the number of girls participating in solo song = 2z = 2 * 28 = 56
Ratio of boys to girls participating in solo song:
The number of boys participating in solo song = 35
The number of girls participating in solo song = 56
Therefore, the ratio of boys to girls participating in solo song is 35 : 56, which can be simplified to 1 : 2.
Hence, the correct answer is option A) 1 : 2.
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Community Answer
In the annual function at a school, 504 children participated.The rat...
Number of boys 
Number of girls = 504 – 189 = 315
Girls participating in dance 
Girls not participating in dance = 315 – 63 = 252
Girls participating in solo song = 
Girls participating in group song 
Girls participating in drama 
Boys participating in group song 
Remaining boys = 189 – 126 = 63
Boys participating in solo song 
Boys participating in dance 
Required ratio = 28 : 56 = 1 : 2.
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In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?a)1 : 2b)2 : 1c)4 : 3d)3 : 2Correct answer is option 'A'. Can you explain this answer?
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In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?a)1 : 2b)2 : 1c)4 : 3d)3 : 2Correct answer is option 'A'. 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 In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?a)1 : 2b)2 : 1c)4 : 3d)3 : 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?a)1 : 2b)2 : 1c)4 : 3d)3 : 2Correct answer is option 'A'. Can you explain this answer?.
In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?a)1 : 2b)2 : 1c)4 : 3d)3 : 2Correct answer is option 'A'. 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 In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?a)1 : 2b)2 : 1c)4 : 3d)3 : 2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the annual function at a school, 504 children participated.The ratio of number of girls to the number of boys is 5 : 3 respectively. Out of the total girls, 20% participated in dance and remaining girls participated in solo song, group song and drama in the ratio of 2 : 3 : 4 respectively. Two third of the total boys participated in group song and remaining boys participated in solo song and dance in the ratio 4 : 5 respectively.Q. What is the ratio between number of boys to the number of girls respectively who have participated in solo song?a)1 : 2b)2 : 1c)4 : 3d)3 : 2Correct answer is option 'A'. Can you explain this answer?.
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