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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.
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. If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?
Correct answer is '0'. Can you explain this answer?
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Verified Answer
In a school there are three sports - Football, Cricket Chess being pl...
Since, the sum of the given students who play Football, Cricket and Chess is equal to the total number of new students each student plays exactly one sport out of the three.
Hence, no student plays all four sports.
Answer: 0
Hence, no student plays all four sports.
Answer: 0
Most Upvoted Answer
In a school there are three sports - Football, Cricket Chess being pl...
Analysis:
Given Information:
- Total number of students playing Football, Cricket and Chess are 40, 45 and 35 respectively.
- All new students indulged only in Swimming.
- No footballer took up Swimming.
- Total of 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 either two or three sports are 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:
- Let's assume the number of students who played all four sports is x.
- Based on the given information, we can create equations to represent the relationships between the number of students playing different combinations of sports.
- Using the information provided, we can create equations to solve for the value of x.
- However, based on the constraints and conditions given, it is not possible for any student to play all four sports simultaneously.
- This is because the conditions restrict students from giving up their current sport or taking up a new sport other than swimming.
- Therefore, the maximum number of students playing all four sports is 0.
Therefore, based on the given information and constraints, the maximum number of students playing all four sports is 0.
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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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. Can you explain this answer?.
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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. Can you explain this answer?.
Solutions 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning 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. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation 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. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. 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. 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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.If out of the 30 new students 12, 12, 6 participated in Football, Cricket and Chess respectively, then what would be the maximum number of students playing all four sports?Correct answer is '0'. Can you explain this answer? tests, examples and also practice CAT tests.
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