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Group Question
Answer the following question based on the information given below.
A leading coaching institute of the country prepares its students for five important management entrance exams: namely, CAT, XAT, JMET, SNAP and IIFT. Each student of this institute appears for atleast two of these exams.
The graph below gives the break-up of the number of students who took the recently held exams.
 
Q. What can be the difference between the maximum number  and minimum number of students of this institute?
  • a)
    30
  • b)
    35
  • c)
    32
  • d)
    38
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Let the number of students who took exactly two, exactly three, exactly four and exactly five exams be a, b, c and d respectively.
Then we have, 2a + 3b + 4c + 5d = 26 + 36 + 32 + 46 + 16 = 156
Now the maximum number of students is possible when value of 2a is maximum. Assuming all of b, c and d to be 0, we have 2a = 156, implying that a = 78.
Hence, the maximum number of students that this institute can have is 78.
The minimum number of students that this institute can have will be the maximum of 26, 36, 32, 46 and 16, which is 46.
Hence the required difference will be 78 - 46 = 32. Hence, option 3.
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Group QuestionAnswer the following question based on the information given below.A leading coaching institute of the country prepares its students for five important management entrance exams: namely, CAT, XAT, JMET, SNAP and IIFT. Each student of this institute appears for atleast two of these exams.The graph below gives the break-up of the number of students who took the recently held exams.Q. What can be the difference between the maximum number and minimum number of students of this institute?a)30b)35c)32d)38Correct answer is option 'C'. Can you explain this answer?
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