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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. What is the maximum number of students who study only Geography?
  • a)
    33
  • b)
    47
  • c)
    50
  • d)
    48
  • e)
    37
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
There is a group of 100 students. They study one or more of the 3 subj...
Solution: To find the maximum number of students who study only Geography, we have to maximise both English and Geography and make all the other values as low as possible. This is possible in the following way: 
The maximum number of students who study only Geography is 48. Hence, option 4.
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Most Upvoted Answer
There is a group of 100 students. They study one or more of the 3 subj...
Only english=a, only geography=b, only history=c, only english and geography=d, only geography and history=e, only history and english=f, all three to be assumed as only 1 person. 
For b to be maximum, e and d should be 0 as total number of students for geography are less than that for english. So, f=2 (e+d+f>1). As the number of students in history should be greater than students with two subjects, hence c=1. Remaining students to be distributed are 100-1-2-1=96. Students in english are a+3 and students in geography are b+1. As a result, a+2>b, therefore 96/2=48 can be assigned to both a and b. 
Community Answer
There is a group of 100 students. They study one or more of the 3 subj...
Solution: To find the maximum number of students who study only Geography, we have to maximise both English and Geography and make all the other values as low as possible. This is possible in the following way: 
The maximum number of students who study only Geography is 48. Hence, option 4.
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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. What is the maximum number of students who study only Geography?a)33b)47c)50d)48e)37Correct answer is option 'D'. Can you explain this answer?
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