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Direction: Study the information carefully to answer the questions that follow:
In a school consisting of 2800 children, the ratio of girls to boys is 4: 3 respectively. All the children have taken different hobby classes viz. Singing, Dancing, Painting and Cooking. 20 percent of the boys take Painting Classes. The number of girls taking Dancing Classes is five fourth of the number of boys taking the same. One-fourth of the girls take cooking classes. The total number of students taking cooking classes is 700. Two-fifth of the boys take Singing Classes and the remaining boys take Dancing Classes. The girls taking Singing Classes is twice the number of boys taking the same. The remaining girls take Painting Classes.
What is the total number of children taking Dancing Classes?
  • a)
    325
  • b)
    445
  • c)
    390
  • d)
    405
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Direction: Study the information carefully to answer the questions th...
Total number of boys - (3/7) X 2800 -1200 Total number of girls - (4/7) X 2800 =1600
Number of boys taking painting class - 20 % of 1200 = 240
Number of girls taking cooking class - 25% of 1600 = 400
Number of boys taking cooking class = 700 - 400 - 300
Number of boys taking singing class -(2/5) X1200 = 480
Number of girls taking singing class - 480 X 960
Number of girls taking dance class = (5/4) 180 = 225
Total number of children dancing class = 180 + 225 = 405
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Most Upvoted Answer
Direction: Study the information carefully to answer the questions th...
Understanding the Problem
- Total children in the school: 2800
- Ratio of girls to boys: 4:3
- Total ratio parts: 4 + 3 = 7 parts
Calculating the Number of Girls and Boys
- Girls = (4/7) * 2800 = 1600
- Boys = (3/7) * 2800 = 1200
Class Participation Breakdown
- Painting Classes:
- 20% of boys take Painting = 0.2 * 1200 = 240 boys
- Dancing Classes:
- Girls taking Dancing = (5/4) of boys taking Dancing
- Let x = boys taking Dancing, then girls = (5/4)x
- Cooking Classes:
- 1/4 of girls take Cooking = (1/4) * 1600 = 400 girls
- Total students in Cooking = 700, thus boys in Cooking = 700 - 400 = 300 boys
Calculating Boys in Other Classes
- Singing Classes:
- 2/5 of boys take Singing = (2/5) * 1200 = 480 boys
- Remaining boys (Dancing) = 1200 - 240 (Painting) - 300 (Cooking) - 480 (Singing) = 180 boys
Calculating Girls' Classes
- Dancing Classes:
- Girls taking Dancing = (5/4) * 180 = 225 girls
- Singing Classes:
- Girls taking Singing = 2 * 480 = 960 girls
- Painting Classes:
- Remaining girls = 1600 - 400 (Cooking) - 225 (Dancing) - 960 (Singing) = 15 girls in Painting
Total in Dancing Classes
- Total in Dancing = Boys + Girls = 180 + 225 = 405
Conclusion
- The total number of children taking Dancing Classes is 405, confirming option 'D'.
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Direction: Study the information carefully to answer the questions that follow:In a school consisting of 2800 children, the ratio of girls to boys is 4: 3 respectively. All the children have taken different hobby classes viz. Singing, Dancing, Painting and Cooking. 20 percent of the boys take Painting Classes. The number of girls taking Dancing Classes is five fourth of the number of boys taking the same. One-fourth of the girls take cooking classes. The total number of students taking cooking classes is 700. Two-fifth of the boys take Singing Classes and the remaining boys take Dancing Classes. The girls taking Singing Classes is twice the number of boys taking the same. The remaining girls take Painting Classes.What is the total number of children taking Dancing Classes?a)325b)445c)390d)405e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Direction: Study the information carefully to answer the questions that follow:In a school consisting of 2800 children, the ratio of girls to boys is 4: 3 respectively. All the children have taken different hobby classes viz. Singing, Dancing, Painting and Cooking. 20 percent of the boys take Painting Classes. The number of girls taking Dancing Classes is five fourth of the number of boys taking the same. One-fourth of the girls take cooking classes. The total number of students taking cooking classes is 700. Two-fifth of the boys take Singing Classes and the remaining boys take Dancing Classes. The girls taking Singing Classes is twice the number of boys taking the same. The remaining girls take Painting Classes.What is the total number of children taking Dancing Classes?a)325b)445c)390d)405e)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Direction: Study the information carefully to answer the questions that follow:In a school consisting of 2800 children, the ratio of girls to boys is 4: 3 respectively. All the children have taken different hobby classes viz. Singing, Dancing, Painting and Cooking. 20 percent of the boys take Painting Classes. The number of girls taking Dancing Classes is five fourth of the number of boys taking the same. One-fourth of the girls take cooking classes. The total number of students taking cooking classes is 700. Two-fifth of the boys take Singing Classes and the remaining boys take Dancing Classes. The girls taking Singing Classes is twice the number of boys taking the same. The remaining girls take Painting Classes.What is the total number of children taking Dancing Classes?a)325b)445c)390d)405e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Study the information carefully to answer the questions that follow:In a school consisting of 2800 children, the ratio of girls to boys is 4: 3 respectively. All the children have taken different hobby classes viz. Singing, Dancing, Painting and Cooking. 20 percent of the boys take Painting Classes. The number of girls taking Dancing Classes is five fourth of the number of boys taking the same. One-fourth of the girls take cooking classes. The total number of students taking cooking classes is 700. Two-fifth of the boys take Singing Classes and the remaining boys take Dancing Classes. The girls taking Singing Classes is twice the number of boys taking the same. The remaining girls take Painting Classes.What is the total number of children taking Dancing Classes?a)325b)445c)390d)405e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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