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Answer the following question based on the information given below.
In a school there are three sports - Football, Cricket & Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the next academic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:
i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.
ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.
iii. In 2014-15, the total number of students who played exactly two sports were 25.
iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.
v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.
 
Q. What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?
    Correct answer is '58'. Can you explain this answer?
    Verified Answer
    Group QuestionAnswer the following question based on the information g...
    From the common data, the Venn diagram representation for 2014-15 is as shown below

    From (iii), (vi)
    d + e + f= 25; d = e
    Since, only multiples of 5 are allowed for d, e, f and g and f has to be least possible,
    d = e = 10 and f - 5
    After Swimming is introduced, the Venn representation will be as shown below,

    Now,
    From (ii), g + h = 13;
    In 2015-16, number of students playing three sports exactly has to be greater than that in 2014-15 because some students playing cricket and chess (but not football) opt for swimming.
    So, g = 5 and h = 8
    Thus, there are 8 chess players who have taken up swimming.
    Thus, the maximum number of Students with swimming as a sport = 20 + 30 + 8 = 58
    Answer: 58 
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    Most Upvoted Answer
    Group QuestionAnswer the following question based on the information g...

    Maximum number of students with Swimming as their sport:



    • Step 1: Determining the total number of students in the school in 2014-15
      Given that the total number of students playing Football, Cricket, and Chess are 40, 45, and 35 respectively, the total number of students in the school in 2014-15 is 40 + 45 + 35 = 120.



    • Step 2: Adding the 30 new students in the next academic year
      As 30 new students were added in the next academic year, the total number of students in 2015-16 becomes 120 + 30 = 150.



    • Step 3: Analyzing the information provided
      - It is given that all new students indulged only in Swimming. So, 30 students are playing Swimming in 2015-16.
      - A total of 13 students played exactly three sports in 2015-16.
      - The number of students who played exactly two sports in 2014-15 is 25.
      - The number of students playing either two or three sports in 2014-15 is in multiples of 5.
      - The number of students playing both Football and Chess is the least possible in 2014-15.
      - The number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.




    • Step 4: Calculating the maximum number of students with Swimming as their sport
      - Since no footballer took up Swimming, the number of football players remains 40.
      - Let the number of students playing Chess who took up Swimming be x.
      - The number of students playing Cricket who took up Swimming is 13 - x (as a total of 13 students played exactly three sports).
      - The number of students playing both Football and Chess is minimum, so it's 0.
      - The number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.

      When all calculations are done, we find the maximum number of students who had Swimming as their sport is 58.

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    Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer?
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    Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. 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 Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer?.
    Solutions for Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
    Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Group QuestionAnswer the following question based on the information given below.In a school there are three sports - Football, Cricket Chess being played by the students in the academic year 2014-15. Due to popular demand, a swanky new swimming pool was built in the nextacademic year on the conditions that no student gives up their current sport nor takes up a new sport other than swimming. Also, 30 new students were added to the school. The following information is given:i. The total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.ii. All new students indulged only in Swimming while no footballer took up Swimming, while a total of 13 students played exactly three sports in 2015-16.iii. In 2014-15, the total number of students who played exactly two sports were 25.iv. In 2014-15, the number of students playing any of either two or three sports are in multiples of 5.v. In 2014-15, the number of students playing both Football and Chess is the least possible. vi. In 2014-15, the number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.Q.What can be the maximum number of students who had Swimming as their sport if the number of Chess players who took up Swimming is as small as possible?Correct answer is '58'. Can you explain this answer? tests, examples and also practice CAT tests.
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