UPSC Exam  >  UPSC Questions  >  There is a group of 100 students. They study ... Start Learning for Free
There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn, is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects. 
 
 
Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?
  • a)
    16
  • b)
    18
  • c)
    15
  • d)
    17
  • e)
    19
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
There is a group of 100 students. They study one or more of the 3 subj...
Solution: If exactly 50 students study English, the maximum values for Geography and History are 49 and 48. A maximum of 147 instances from 100 students. v The students who study exactly 3 is less than the number who study exactly 2, by trial and error we can say the maximum value of exactly 3 would be around 17. (17 x 3) + (18 x 2) + 19 + 20 + 21 = 147 instances from 17 + 18 + 19 + 20 + 21 =95 students v Number of students only add upto 95, maximum value of students who study exactly 3 is at most 16. (16 x 3) + (17 x 2) + 20 + 22 + 23 = 147 instances from 16 + 17 + 20 + 22 + 23 = 98 students We can see that 16 is also not possible and the solution would be 15: (15 x 3) + (17 x 2) + 21 + 23 + 24 = 147 instances from 15 + 17 + 21 + 23 + 24 = 100 students. Hence, option 3.
View all questions of this test
Explore Courses for UPSC exam

Similar UPSC Doubts

Top Courses for UPSC

There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer?
Question Description
There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer?.
Solutions for There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer? 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 There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer?, a detailed solution for There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn,is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?a)16b)18c)15d)17e)19Correct answer is option 'C'. Can you explain this answer? 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