UPSC Exam  >  UPSC Questions  >  In a group of 100 students, each student stud... Start Learning for Free
In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects.
Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects?
Most Upvoted Answer
In a group of 100 students, each student studies one or more subjects ...
Analysis of the given information:
- The number of students studying M is more than P, which is more than C.
- The number of students studying exactly two subjects is more than those studying exactly three subjects.
- At least one student studied exactly three subjects.

Given: Half of the students study M.

Maximum possible number of students studying all three subjects:
- Since half of the students study M, there are 50 students studying M.
- Let's assume x students study all three subjects.
- The number of students studying exactly two subjects will be more than x.
- The number of students studying exactly three subjects will be less than x.

Calculating the maximum possible number of students studying all three subjects:
- Let's start with the assumption that all students studying exactly two subjects are studying M and P.
- This means the number of students studying exactly two subjects is equal to the number of students studying M and P but not C.
- So, if x students are studying all three subjects, the number of students studying exactly two subjects will be x.
- Thus, the number of students studying exactly two subjects = x.
- We know that the number of students studying exactly two subjects is more than those studying exactly three subjects.
- Therefore, the maximum possible value of x can be 24, considering the constraints given.
Therefore, the maximum possible number of students that study all three subjects is 24.
Explore Courses for UPSC exam

Similar UPSC Doubts

Top Courses for UPSC

In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects?
Question Description
In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects? 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 group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects?.
Solutions for In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects? defined & explained in the simplest way possible. Besides giving the explanation of In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects?, a detailed solution for In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects? has been provided alongside types of In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects? theory, EduRev gives you an ample number of questions to practice In a group of 100 students, each student studies one or more subjects amongst P,C,M. The number of students studying M is more than that for P, which, in turn is more than that of C, which, in turn is more than the number of students studying exactly two subjects, which, in turn is more than those studying exactly three subjects. At least one student studied exactly three subjects. Q.1 If it is known that exactly half the students study M, what is the maximum possible number of students that study all the three subjects? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev