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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 minimum number of students who study  English? 
  • a)
    37
  • b)
    34 
  • c)
    36
  • d)
    35
  • e)
    32
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: The number of students studying English is given to be greater than the number of students studying either of the other two subjects and also greater than those studying exactly 2 or exactly 3 subjects.
To find the minimum number of students who study English, assign minimum values for those who study all the three (1) and those who study exactly 2 (keep students studying English and Geography as 2 and the other two sharing as 0) and distribute the remaining nearly equally (33 for English, 32 each for other subjects).
This is done to keep English as the highest number.
The minimum number of students who study English = 33 + 2 + 1 = 36
Hence, option 3.
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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 minimum number of students who study English?a)37b)34c)36d)35e)32Correct answer is option 'C'. Can you explain this answer?
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