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In a school of 2500 students, all the students have enrolled for different games viz hockey, table-tennis, badminton, football, cricket, chess, and carrom. The respective ratio of girls to boys in the school is 3 : 2. 20% of the boys play only cricket. 25% of the girls play table tennis, badminton and carrom only. 26.8% of the boys play only football. The number of girls playing only cricket is 175% of the boys playing the same. The respective ratio of girls to boys playing only chess is 12 : 11. 25.7% of the boys play hockey, table tennis and carrom only. One-fourth of the girls play only badminton. The remaining girls play football and hockey only. The remaining boys play only chess.
Q. How many students play more than one game?
  • a)
    850
  • b)
    862
  • c)
    732
  • d)
    670
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions: Study the following information carefully to answer the q...
As per given data in the passage
Total number of students is 2500
The respective ratio of girls to boys in the school is 3 : 2
The number of girls
⇒ 3/5 × 2500 = 1500
The number of boys ⇒ 2/5 × 2500 = 1000
The number of boys playing cricket only
⇒ 20% of the number of boys
⇒ 20/100 × 1000 = 200
The number of girls playing table-tennis, badminton and carom only
⇒ 25% of the number of girls
⇒ 25/100 × 1500 = 375
The number of boys playing football only
⇒ 26.8% of the number of boys
⇒ 26.8/100 × 1000 = 268
The number of girls playing cricket only
⇒ 175/100 × 200 = 350
The number of boys playing hockey, table-tennis and carom only
⇒ 25.7/100 × 1000 = 257
The number of girls playing badminton only
⇒ 14 × 1500 = 375
The respective ratio of the girls to the boys playing only chess is 12 : 11
The number of girls playing chess only
⇒ 12/11 × 275 = 300
The number of girls playing football and hockey only
⇒ 1500 − (375 + 350 + 375 + 300)
⇒ 1500 − 1400=100
The number of boys playing chess only
⇒ 1000 − (200 + 268 + 257)
⇒ 1000 − 725= 275
Total number of students playing more than one game
⇒ 375 + 257 + 100 = 732
Now, according to the question asked, it is clear from the above explanation that the number of students playing more than one game is 732
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Community Answer
Directions: Study the following information carefully to answer the q...
Given Information:
- Total number of students in the school = 2500
- Ratio of girls to boys in the school = 3 : 2

Solution:
1. Total number of girls in the school = (3/5) * 2500 = 1500
2. Total number of boys in the school = (2/5) * 2500 = 1000

Calculating the number of students playing each game:
1. Boys playing only cricket = 20% of 1000 = 200
2. Girls playing only cricket = 175% of boys playing only cricket = 175% of 200 = 350
3. Girls playing only badminton = 1/4 of total girls = (1/4) * 1500 = 375
4. Boys playing only football = 26.8% of 1000 = 268
5. Remaining boys = Total boys - (Boys playing only cricket + Boys playing only football + Boys playing only chess) = 1000 - (200 + 268 + Boys playing only chess)
6. Remaining girls = Total girls - (Girls playing only cricket + Girls playing only badminton + Remaining boys) = 1500 - (350 + 375 + Remaining boys)

Calculating the number of boys playing only chess:
1. Let the number of boys playing only chess be x.
2. The ratio of girls to boys playing only chess is given as 12 : 11.
3. So, the number of girls playing only chess = (12/11) * x
4. Total number of students playing only chess = Boys playing only chess + Girls playing only chess = x + (12/11) * x = (23/11) * x

Calculating the number of students playing multiple games:
1. Boys playing hockey, table tennis, and carrom only = 25.7% of 1000 = 257
2. Girls playing football and hockey only = Remaining girls - Girls playing only football = Remaining girls - 375
3. Total number of students playing more than one game = Boys playing only cricket + Girls playing only cricket + Girls playing only badminton + Boys playing only football + Remaining boys + Remaining girls + Total number of students playing only chess + Boys playing hockey, table tennis, and carrom only + Girls playing football and hockey only

Calculating the answer:
1. Substituting the calculated values in the above equation, we get:
Total number of students playing more than one game = 200 + 350 + 375 + 268 + Remaining boys + Remaining girls + (23/11) * x + 257 + (Remaining girls - 375)
2. Simplifying the equation, we get:
Total number of students playing more than one game = 1175 + Remaining boys + Remaining girls + (23/11) * x
3. Since the total number of students in the school is 2500, we have:
Total number of students playing more than one game = 2500 - 1175 = 1325
4. Substituting the value of x from the equation (Total number of students playing more than one game = 1325), we get:
1325 = 1175 +
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Directions: Study the following information carefully to answer the questions given below it.In a school of 2500 students, all the students have enrolled for different games viz hockey, table-tennis, badminton, football, cricket, chess, and carrom. The respective ratio of girls to boys in the school is 3 : 2. 20% of the boys play only cricket. 25% of the girls play table tennis, badminton and carrom only. 26.8% of the boys play only football. The number of girls playing only cricket is 175% of the boys playing the same. The respective ratio of girls to boys playing only chess is 12 : 11. 25.7% of the boys play hockey, table tennis and carrom only. One-fourth of the girls play only badminton. The remaining girls play football and hockey only. The remaining boys play only chess.Q. How many students play more than one game?a)850b)862c)732d)670e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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