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A school consisting of a total of 1560 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz., Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.
 
Q.
What is the total number of boys who are enrolled in Dancing?
  • a)
    318
  • b)
    364
  • c)
    292
  • d)
    434
  • e)
    none of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A school consisting of a total of 1560 students has boys and girls in ...
Calculation of the total number of boys enrolled in Dancing classes:
Given data:
- Total number of students = 1560
- Ratio of boys to girls = 7 : 5
Calculating the number of boys and girls:
- Total number of parts = 7 + 5 = 12
- Number of parts representing boys = 7/12 * 1560 = 910
- Number of parts representing girls = 5/12 * 1560 = 650
Calculating the number of boys enrolled in Dancing classes:
- One-fifth of boys are enrolled in only Dancing classes = 1/5 * 910 = 182
- Ten percent of boys are enrolled in only Singing classes = 10/100 * 910 = 91
- One-thirteenth of boys are enrolled in all three classes = 1/13 * 910 = 70
Calculating the remaining boys:
- Boys enrolled in only Painting classes = Total boys - (Boys in Dancing + Boys in Singing + Boys in all 3 classes)
- Boys in Painting = 910 - (182 + 91 + 70) = 567
Calculating the total number of boys enrolled in Dancing classes:
- Boys enrolled in Dancing = Boys in Dancing + Boys in all 3 classes = 182 + 70 = 252
Therefore, the total number of boys who are enrolled in Dancing classes is 252. Therefore, option d) 434 is the correct answer.
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A school consisting of a total of 1560 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz., Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.Q.What is the total number of boys who are enrolled in Dancing?a)318b)364c)292d)434e)none of theseCorrect answer is option 'D'. Can you explain this answer?
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A school consisting of a total of 1560 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz., Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.Q.What is the total number of boys who are enrolled in Dancing?a)318b)364c)292d)434e)none of theseCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A school consisting of a total of 1560 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz., Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.Q.What is the total number of boys who are enrolled in Dancing?a)318b)364c)292d)434e)none of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A school consisting of a total of 1560 students has boys and girls in the ratio of 7 : 5 respectively. All the students are enrolled in different types of hobby classes, viz., Singing, Dancing and Painting. One-fifth of the boys are enrolled in only Dancing classes. Twenty per cent of the girls are enrolled in only Painting classes. Ten percent of the boys are enrolled in only Singing classes. Twenty-four per cent of the girls are enrolled in both Singing and Dancing classes together. The number of girls enrolled in only Singing classes is two hundred per cent of the boys enrolled in the same. One-thirteenth of the boys are enrolled in all the three classes together. The respective ratio of boys enrolled in Dancing and Painting classes together to the girls enrolled in the same is 2 : 1 respectively. Ten per cent of the girls are enrolled in only Dancing classes whereas eight per cent of the girls are enrolled in both Dancing and Painting classes together. The remaining girls are enrolled in all the three classes together. The number of boys enrolled in Singing and Dancing classes together is fifty per cent of the number of girls enrolled in the same. The remaining boys are enrolled in only Painting classes.Q.What is the total number of boys who are enrolled in Dancing?a)318b)364c)292d)434e)none of theseCorrect answer is option 'D'. Can you explain this answer?.
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