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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 respective ratio of boys taking painting classes to the boys taking Singing Classes?
  • a)
    4:3
  • b)
    2:1
  • c)
    6:5
  • d)
    3:4
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
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Direction: Study the information carefully to answer the questions t...
Total number of children - 2800
Girls: boys = 4: 3
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
Ratio = 240: 480 = 1:2
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Most Upvoted Answer
Direction: Study the information carefully to answer the questions t...
Analysis:
- Total number of children = 2800
- Ratio of girls to boys = 4:3

Boys Hobby Classes:
- 20% of boys take Painting classes
- Two-fifth of boys take Singing classes
- Remaining boys take Dancing classes
- Boys taking Cooking classes = 700 - (20% of boys + Two-fifth of boys + Remaining boys)

Girls Hobby Classes:
- Girls taking Dancing classes = 5/4 * Boys taking Dancing classes
- One-fourth of girls take Cooking classes
- Girls taking Singing classes = 2 * Boys taking Singing classes
- Remaining girls take Painting classes

Calculation:
- Let the number of girls be 4x and boys be 3x
- Girls + boys = 7x = 2800
- x = 400

Boys taking Painting classes:
- 20% of boys = 0.2 * 3 * 400 = 240
- Boys taking Singing classes = 2/5 * 3 * 400 = 240
- Boys taking Dancing classes = 3 * 400 - (240 + 240) = 320

Respective ratio:
- Boys taking Painting classes : Boys taking Singing classes = 240 : 240 = 1:1
Therefore, the respective ratio of boys taking painting classes to the boys taking singing classes is 1:1.
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Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. What is the respective ratio of the number of second year students studying in only Arts stream to the number of first year students studying in the Engineering only?

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Directions: Study the following information carefully and answer the given question.A hostel comprises of a total 3120 students which are first year students and second year students in the ratio of 7 : 5, respectively. All the students are studying in different streams namely Engineering, Commerce and Arts.One-fifth of the first year students are studying in only Commerce stream. Twenty per cent of the second year students are studying in only Arts stream. Ten percent of the first year students are studying in only Engineering stream. Twenty-four percent of the second year students are studying in only Engineering and Commerce streams together.The number of second year students studying in only Engineering streams is two hundred percent of the first year students studying in the same. One-thirteenth of the first year students are studying in all the three streams together. The respective ratio of first year students studying in only Commerce and Arts streams together to the second year students studying in the same is 2 : 1, respectively.Ten percent of the second year students are studying in only Commerce streams whereas, eight percent of the second year students are studying in only Commerce and Arts streams together. The remaining second year students are studying in all the three streams together. The number of first year students studying in only Engineering and Commerce streams together is fifty per cent of the number of second year students studying in the same. The remaining first year students are studying in only Arts streams.Q. Total number of second year students studying in Engineering is approximately what percent of the total number of students in the hostel?

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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 respective ratio of boys taking painting classes to the boys taking Singing Classes?a)4:3b)2:1c)6:5d)3:4e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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