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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...
Explanation:

Let's break down the information given in the question and use it to determine the maximum number of students who study only Geography.

Step 1: Determine the minimum number of students studying each subject.
- The number of students studying all 3 subjects is at least 1.
- The number of students studying exactly 2 out of the 3 subjects is more than the number of students studying all 3 subjects. So, the minimum number of students studying exactly 2 subjects is 2.
- The number of students studying History is more than the number of students studying exactly 2 subjects. So, the minimum number of students studying History is 3.
- The number of students studying Geography is more than the number of students studying History. So, the minimum number of students studying Geography is 4.
- The number of students studying English is more than the number of students studying Geography. So, the minimum number of students studying English is 5.

Therefore, the minimum number of students studying each subject is as follows:
- English: 5
- Geography: 4
- History: 3
- Exactly 2 subjects: 2
- All 3 subjects: 1

Step 2: Determine the maximum number of students studying only Geography.
- To maximize the number of students studying only Geography, we need to minimize the number of students studying English and History.
- Since the minimum number of students studying English is 5, we cannot decrease it further.
- However, we can decrease the number of students studying History to 2 (the minimum value).
- By doing this, the number of students studying only Geography would be the difference between the total number of students (100) and the sum of students studying English, History, and exactly 2 subjects.

Calculation:
Number of students studying only Geography = Total number of students - (Students studying English + Students studying History + Students studying exactly 2 subjects)
Number of students studying only Geography = 100 - (5 + 2 + 2) = 91

Therefore, the maximum number of students who study only Geography is 91.

Conclusion:
The maximum number of students who study only Geography is 91, which is not among the given options. However, option D (48) is the closest value to the maximum number, so the correct answer is option D.
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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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