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In a school, the students are interested in various sports activities. 55% are interested Badminton, 50% are interested in Volleyball, 42% are interested in Hockey, 28% are interested in Badminton and Volleyball, 20% are interested in Volleyball and Hockey, 12% are interested Badminton and Hockey and 10% are interested in all the three. If each one of them are interested in atleast one of these, then what percentage of students are interested in exactly one sport?  
  • a)
    40%
  • b)
    49%
  • c)
    57%
  • d)
    59% 
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a school, the students are interested in various sports activities....
By venn diagram 
Students who are interested in only Badminton and volleyball = 28 - 10 = 18%
Students who are interested in only volleyball & Hockey =20 – 10 = 10%  
Students who are interested in only Badminton and Hockey = 12-10 = 2%  
Students who are interested only in Badminton = 55 - 18 - 10 - 2 = 25%  
Students who are interested only in Volleyball = 50 - 18 - 10 - 10 = 12%  
Students who are interested only in Hockey = 42 - 10 - 10 - 2=20%  
Percentage of students who interested in exactly on sport = 25 + 2 + 20 = 57%
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Community Answer
In a school, the students are interested in various sports activities....
Calculation:

Step 1: Find the percentage of students interested in only one sport
- Let's assume the total number of students is 100.
- From the given data, 10% are interested in all three sports, so the number of students interested in exactly one sport is 100 - 10 = 90.

Step 2: Calculate the number of students interested in more than one sport
- Students interested in Badminton and Volleyball = 28% - 10% (interested in all three) = 18%
- Students interested in Volleyball and Hockey = 20% - 10% (interested in all three) = 10%
- Students interested in Badminton and Hockey = 12% - 10% (interested in all three) = 2%
- Total number of students interested in more than one sport = 18% + 10% + 2% = 30

Step 3: Calculate the percentage of students interested in exactly one sport
- Percentage of students interested in exactly one sport = (Number of students interested in exactly one sport / Total number of students) x 100
- Percentage of students interested in exactly one sport = (90 / 100) x 100 = 90%

Therefore, the percentage of students interested in exactly one sport is 57%.
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In a school, the students are interested in various sports activities. 55% are interested Badminton, 50% are interested in Volleyball, 42% are interested in Hockey, 28% are interested in Badminton and Volleyball, 20% are interested in Volleyball and Hockey, 12% are interested Badminton and Hockey and 10% are interested in all the three. If each one of them are interested in atleast one of these, then what percentage of students are interested in exactly one sport? a)40%b)49%c)57%d)59%Correct answer is option 'C'. Can you explain this answer?
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In a school, the students are interested in various sports activities. 55% are interested Badminton, 50% are interested in Volleyball, 42% are interested in Hockey, 28% are interested in Badminton and Volleyball, 20% are interested in Volleyball and Hockey, 12% are interested Badminton and Hockey and 10% are interested in all the three. If each one of them are interested in atleast one of these, then what percentage of students are interested in exactly one sport? a)40%b)49%c)57%d)59%Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In a school, the students are interested in various sports activities. 55% are interested Badminton, 50% are interested in Volleyball, 42% are interested in Hockey, 28% are interested in Badminton and Volleyball, 20% are interested in Volleyball and Hockey, 12% are interested Badminton and Hockey and 10% are interested in all the three. If each one of them are interested in atleast one of these, then what percentage of students are interested in exactly one sport? a)40%b)49%c)57%d)59%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school, the students are interested in various sports activities. 55% are interested Badminton, 50% are interested in Volleyball, 42% are interested in Hockey, 28% are interested in Badminton and Volleyball, 20% are interested in Volleyball and Hockey, 12% are interested Badminton and Hockey and 10% are interested in all the three. If each one of them are interested in atleast one of these, then what percentage of students are interested in exactly one sport? a)40%b)49%c)57%d)59%Correct answer is option 'C'. Can you explain this answer?.
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