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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. How many students play at least one sport in 2015-16?
    Correct answer is '115'. Can you explain this answer?
    Verified Answer
    In a school there are three sports - Football, Cricket Chess being pl...
    From the answer to the previous question, we can calculate,
    a = 20; b = 20; c = 15
    The class strength in 2015-16 = 20 + 20 + 15 + 5 + 5+10 + 10 + 30 = 115
    Answer: 115
    View all questions of this test
    Most Upvoted Answer
    In a school there are three sports - Football, Cricket Chess being pl...



    Analysis:

    Students participating in different sports in 2014-15:
    - Football: 40
    - Cricket: 45
    - Chess: 35

    New students added in 2015-16: 30

    Given Information:

    - No student gives up their current sport nor takes up a new sport other than swimming.
    - All new students indulged only in Swimming.
    - 13 students played exactly three sports in 2015-16.
    - Total number of students who played exactly two sports in 2014-15 were 25.
    - Number of students playing any of either two or three sports are in multiples of 5.
    - Number of students playing both Football and Chess is the least possible.
    - Number of students playing both Football and Cricket is equal to the number of students playing both Chess and Cricket.

    Solution:

    To find the number of students playing at least one sport in 2015-16, we need to add up the total number of students playing each sport. Let's break it down:

    - Football players: 40 (no new students joined)
    - Cricket players: 45 (no new students joined)
    - Chess players: 35 (no new students joined)
    - Swimming players: 30 (all new students)

    Now, let's consider the students who played multiple sports in 2014-15:
    - Total students who played exactly two sports: 25
    - Total students who played exactly three sports: 13

    Now, let's consider the students who played both Football and Cricket:
    - Number of students playing both Football and Cricket = Number of students playing both Chess and Cricket

    From the given information, we can calculate the number of students playing at least one sport in 2015-16 by adding the total number of students playing each sport, including the new students who joined:

    40 (Football) + 45 (Cricket) + 35 (Chess) + 30 (Swimming) = 150

    Therefore, the total number of students playing at least one sport in 2015-16 is 150.


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    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.How many students play at least one sport in 2015-16?Correct answer is '115'. Can you explain this answer?
    Question Description
    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.How many students play at least one sport in 2015-16?Correct answer is '115'. 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 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.How many students play at least one sport in 2015-16?Correct answer is '115'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.How many students play at least one sport in 2015-16?Correct answer is '115'. Can you explain this answer?.
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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.How many students play at least one sport in 2015-16?Correct answer is '115'. Can you explain this answer?, a detailed solution for 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.How many students play at least one sport in 2015-16?Correct answer is '115'. Can you explain this answer? has been provided alongside types of 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. 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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.How many students play at least one sport in 2015-16?Correct answer is '115'. Can you explain this answer? tests, examples and also practice CAT tests.
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