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.?
Most Upvoted Answer
In a group of 100 students, each student studies one or more subjects ...


Analysis of the Student Group

Given:
- Total number of students = 100
- Subjects: P, C, M
- Number of students studying M > Number of students studying P
- Number of students studying P > Number of students studying C
- Number of students studying exactly two subjects > Number of students studying exactly three subjects
- At least one student studied exactly three subjects

Solution:

  • Step 1: Let's assume the number of students studying exactly three subjects is x.
  • Step 2: Since the number of students studying exactly two subjects is less than those studying exactly three subjects, let the number of students studying exactly two subjects be y, where y < />
  • Step 3: Let the number of students studying only one subject be z.
  • Step 4: From the given conditions, we can form the following equations:
    - x + y + z = 100 (Total number of students)
    - x > y > z (Number of students studying exactly three, two, and one subject respectively)
  • Step 5: By analyzing the given conditions, we can deduce the following:
    - Number of students studying M > Number of students studying P > Number of students studying C
    - Since at least one student studied exactly three subjects (x > 0), the number of students studying C must be less than x.
  • Step 6: By solving the equations and considering the constraints, we can determine the possible values of x, y, and z that satisfy the given conditions.



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.?
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.? 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.? 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.?.
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.? 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.? 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.?, 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.? 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.? 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.? 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