In a school, all the students play at least one of three indoor games andndash; chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer?

EduRev

All Courses

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Defence Exam > Defence Questions > In a school, all the students play at least o...

Join the Discussion on the App

Q. What can be the minimum number of students in the school?

a)
123
b)
111
c)
95
d)
63

Correct answer is option 'B'. Can you explain this answer?

FREE This question is part of

NDA I - Mathematics Question Paper 2019

Attempt Test

Attempt this Test

Verified Answer

In a school, all the students play at least one of three indoor games ...

Maximum students in school = 123

Minimum students in school = 111

Step-by-step explanation:

Students play chess = A = 60

Students play table tennis = B = 50

Students play carrom = C = 48

Students play games A and C = D = 12

Students play games B and C = E = 15

Students play games B and A = F = 20

Now

Student playing all the games = G = 12.

We can see easily that

Maximum number of students = A+B+C-D-E-F+G = 60+50+48-12-15-20+12

Maximum number of students = 123

Minimum number of students = (maximum no of students) - G

Minimum number of students = 123 - 12 = 111.

Maximum students in school = 123

Minimum students in school = 111

View all questions of this test

Most Upvoted Answer

In a school, all the students play at least one of three indoor games ...

. The three indoor games are chess, carrom, and table tennis. Some students play only chess, some play only carrom, some play only table tennis, some play both chess and carrom, some play both carrom and table tennis, some play both chess and table tennis, and some play all three games.

If we denote the number of students who play only chess, only carrom, and only table tennis as C, R, and T respectively, then the given information can be represented as follows:

C + R + T + (number of students who play both chess and carrom) + (number of students who play both carrom and table tennis) + (number of students who play both chess and table tennis) + (number of students who play all three games) = Total number of students in the school

Since all the students play at least one game, we can say that the total number of students in the school is equal to the sum of the number of students who play each game:

Total number of students in the school = C + R + T + (number of students who play both chess and carrom) + (number of students who play both carrom and table tennis) + (number of students who play both chess and table tennis) + (number of students who play all three games)

Therefore, the number of students who play only chess can be calculated as follows:

C = Total number of students who play chess - (number of students who play both chess and carrom) - (number of students who play both chess and table tennis) - (number of students who play all three games)

Similarly, the number of students who play only carrom and only table tennis can be calculated using the same formula.

Note: The given information does not provide enough information to determine the exact number of students who play each game. We need additional information, such as the total number of students in the school and the number of students who play each combination of games, to solve the problem.

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for Defence exam

Similar Defence Doubts

In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q.What can be the maximum number of students in the school?

View answer

Read the following passage carefully and answer the given set of questions.EDUCATION,as the word defines education means to acquire knowledge, skills, values and beliefs in different aspects of our life. It is a process of learning and gaining knowledge. Education is a fundamental human right and it helps to promote individual freedom and empowerment and propagates important development benefits.Like in ancient times India had the Gurukul system. In Gurukul system, anyone who wants to study can go to the guru (teacher) house or his ashram and request to be taught. If the student is accepted by the guru, he would then stay at the guru’s place and would gain knowledge.And after that, the school system came in India. In which the school was divided into different sections that is from primary junior to senior. According to the age of the child and understanding level, the child is directed to that section.The 86thamendment of the constitution in India in 2002 inserted Article 21A which is, free and compulsory education for all the children between 6 to 14 years old. This article made education a fundamental right for every child.The right to education (RTE) act, 2009 under article 21-A, means that every child has the right to study in the school in a proper way such that it must satisfy essential rules and regulations.Article 21-A and RTE act came into force on 1 April 2010. The RTE act basically supports and encourages “free and compulsory” education. Here,free educationmeans that none of the child is allowed to pay any fee or any kind of charges for completing and getting education except for the child whose parents are there who are capable of paying fees and affording all other kinds of expenses for their child related to studies. Andcompulsory educationmeans that it is the duty of the government and concerning local authorities to check for proper attendance of the students, to ensure proper admission and also to take care for the fulfillment of fundamental education of every child.It also lays down rules regarding Pupil Teacher Ratios (PTRs).Q.Which one of the following examples represent a Pupil Teacher Ratio?

View answer

The table given below shows the number of students who have taken admission in school A and B from the years 2010 to 2015.Q.If the total student intake capacity for School B was 500 then what percentage of seats remained vacant in school B in 2015?

View answer

The table given below shows the number of students who have taken admission in school A and B from the years 2010 to 2015.Q. Across all the years, for how many years, the number of students in school A was less than the average number of students in school B?

View answer

Read the following passage carefully and answer the given set of questions.EDUCATION,as the word defines education means to acquire knowledge, skills, values and beliefs in different aspects of our life. It is a process of learning and gaining knowledge. Education is a fundamental human right and it helps to promote individual freedom and empowerment and propagates important development benefits.Like in ancient times India had the Gurukul system. In Gurukul system, anyone who wants to study can go to the guru (teacher) house or his ashram and request to be taught. If the student is accepted by the guru, he would then stay at the guru’s place and would gain knowledge.And after that, the school system came in India. In which the school was divided into different sections that is from primary junior to senior. According to the age of the child and understanding level, the child is directed to that section.The 86thamendment of the constitution in India in 2002 inserted Article 21A which is, free and compulsory education for all the children between 6 to 14 years old. This article made education a fundamental right for every child.The right to education (RTE) act, 2009 under article 21-A, means that every child has the right to study in the school in a proper way such that it must satisfy essential rules and regulations.Article 21-A and RTE act came into force on 1 April 2010. The RTE act basically supports and encourages “free and compulsory” education. Here,free educationmeans that none of the child is allowed to pay any fee or any kind of charges for completing and getting education except for the child whose parents are there who are capable of paying fees and affording all other kinds of expenses for their child related to studies. Andcompulsory educationmeans that it is the duty of the government and concerning local authorities to check for proper attendance of the students, to ensure proper admission and also to take care for the fulfillment of fundamental education of every child.It also lays down rules regarding Pupil Teacher Ratios (PTRs).Q.How is it going to be ensured that the compulsion of providing free education is met?

View answer

In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer?.

Solutions for In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.

Here you can find the meaning of In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a school, all the students play at least one of three indoor games – chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 play carrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.Q. What can be the minimum number of students in the school?a)123b)111c)95d)63Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Defence tests.

Explore Courses for Defence exam