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In an annual sports festival, 392 children participated. The ratio of the number of girls to the number of boys in 5 : 3 respectively. Out of the total girls, 20% participated in Kho-Kho and remaining girls participated in Cricket, Badminton, and Chess in the ratio of 2 : 3 : 2. Two-thirds of the total boys participated in Cricket and remaining boys participated in Badminton and Kho-Kho in the ratio 3 : 4 respectively.
Q. What is the ratio between numbers of boys to the number of girls respectively who have participated in Cricket?
  • a)
    7 : 3
  • b)
    3 : 7
  • c)
    4 : 7
  • d)
    7 : 4
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
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Directions: Study the information carefully to answer the questions th...
Total children participated = 392
⇒ Number of Girls = 5/8 × 392 = 245
⇒ Number of Boys = 3/8 × 392 = 147
Girls participated in Kho-Kho = 20% of 245 = 49
Girls participated in Cricket, Badminton, and Chess = (245 - 49) = 196
Girls participated in Cricket, Badminton and Chess be 2x : 3x : 2x respectively.
Girls participated in Cricket = 2/7 × 196 = 28 × 2 = 56
Girls participated in Badminton = 3/7 × 196 = 28 × 3 = 84
Girls participated in Chess = 2/7 × 196 = 28 × 2 = 56
Boys participated in Cricket = 2/3 of 147 = 98
Boys participated in Badminton and Kho-Kho = (147 - 98) = 49
Boys participated in Badminton and Kho-Kho be 3y : 4y respectively.
Boys participated in Badminton = 3/7 × 49 = 7 × 3 = 21
Boys participated in Kho-Kho = 4/7 × 49 = 7 × 4 = 28

The ratio between number of boys to the number of girls respectively who have participated in Cricket = 98 : 56 = 7 : 4
∴  The ratio between numbers of boys to the number of girls respectively who have participated in Cricket is 7 : 4.
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Directions: Study the information carefully to answer the questions th...
Understanding the Problem
To solve the problem, we need to determine the number of boys and girls participating in Cricket and find the ratio between them.
Step 1: Calculate the Number of Girls and Boys
- Total children = 392
- Ratio of girls to boys = 5 : 3
Let the number of girls be 5x and boys be 3x:
5x + 3x = 392
8x = 392
x = 49
- Girls = 5x = 5 * 49 = 245
- Boys = 3x = 3 * 49 = 147
Step 2: Determine Girls' Participation in Sports
- 20% of girls participated in Kho-Kho:
20% of 245 = 0.20 * 245 = 49
- Remaining girls who participated in Cricket, Badminton, and Chess:
245 - 49 = 196
- The remaining girls participated in the ratio of 2:3:2 (Cricket: Badminton: Chess).
Total parts = 2 + 3 + 2 = 7
- Girls in Cricket = (2/7) * 196 = 56
- Girls in Badminton = (3/7) * 196 = 84
- Girls in Chess = (2/7) * 196 = 56
Step 3: Determine Boys' Participation in Sports
- Two-thirds of boys participated in Cricket:
(2/3) * 147 = 98
- Remaining boys who participated in Badminton and Kho-Kho:
147 - 98 = 49
- Boys in Badminton and Kho-Kho are in the ratio 3:4.
Total parts = 3 + 4 = 7
- Boys in Badminton = (3/7) * 49 = 21
- Boys in Kho-Kho = (4/7) * 49 = 28
Step 4: Calculate the Ratio of Boys to Girls in Cricket
- Boys in Cricket = 98
- Girls in Cricket = 56
Final Ratio Calculation
- Ratio of boys to girls in Cricket = 98 : 56
- Simplifying this gives the ratio = 49 : 28 = 7 : 4
Thus, the answer is option 'D' (7 : 4).
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Directions: Study the information carefully to answer the questions that follow.In an annual sports festival, 392 children participated. The ratio of the number of girls to the number of boys in 5 : 3 respectively. Out of the total girls, 20% participated in Kho-Kho and remaining girls participated in Cricket, Badminton, and Chess in the ratio of 2 : 3 : 2. Two-thirds of the total boys participated in Cricket and remaining boys participated in Badminton and Kho-Kho in the ratio 3 : 4 respectively.Q.What is the ratio between numbers of boys to the number of girls respectively who have participated in Cricket?a)7 : 3b)3 : 7c)4 : 7d)7 : 4e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Directions: Study the information carefully to answer the questions that follow.In an annual sports festival, 392 children participated. The ratio of the number of girls to the number of boys in 5 : 3 respectively. Out of the total girls, 20% participated in Kho-Kho and remaining girls participated in Cricket, Badminton, and Chess in the ratio of 2 : 3 : 2. Two-thirds of the total boys participated in Cricket and remaining boys participated in Badminton and Kho-Kho in the ratio 3 : 4 respectively.Q.What is the ratio between numbers of boys to the number of girls respectively who have participated in Cricket?a)7 : 3b)3 : 7c)4 : 7d)7 : 4e)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 information carefully to answer the questions that follow.In an annual sports festival, 392 children participated. The ratio of the number of girls to the number of boys in 5 : 3 respectively. Out of the total girls, 20% participated in Kho-Kho and remaining girls participated in Cricket, Badminton, and Chess in the ratio of 2 : 3 : 2. Two-thirds of the total boys participated in Cricket and remaining boys participated in Badminton and Kho-Kho in the ratio 3 : 4 respectively.Q.What is the ratio between numbers of boys to the number of girls respectively who have participated in Cricket?a)7 : 3b)3 : 7c)4 : 7d)7 : 4e)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 information carefully to answer the questions that follow.In an annual sports festival, 392 children participated. The ratio of the number of girls to the number of boys in 5 : 3 respectively. Out of the total girls, 20% participated in Kho-Kho and remaining girls participated in Cricket, Badminton, and Chess in the ratio of 2 : 3 : 2. Two-thirds of the total boys participated in Cricket and remaining boys participated in Badminton and Kho-Kho in the ratio 3 : 4 respectively.Q.What is the ratio between numbers of boys to the number of girls respectively who have participated in Cricket?a)7 : 3b)3 : 7c)4 : 7d)7 : 4e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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