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A class consists of 30 students. Each of them has registered for 5 courses. Each course instructor conducts an exam out of 200 marks. The average percentage marks of all 30 students across all…

Question and options

A class consists of 30 students. Each of them has registered for 5 courses. Each course instructor conducts an exam out of 200 marks. The average percentage marks of all 30 students across all courses they have registered for, is 80%. Two of them apply for revaluation in a course. If none of their marks reduce, and the average of all 30 students across all courses becomes 80.02%, the maximum possible increase in marks for either of the 2 students is
  1. 6
  2. 12
  3. 3
  4. 5

Answer and explanation

Correct answer: A - 6

The maximum gain for one student is 66 marks. The class total goes up by 0.0002⋅30⋅5⋅200=60.0002\cdot30\cdot5\cdot200=6 marks, and one student's mark can stay fixed while the other gains all six. The value 33 assumes the gain must be split equally.

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  • IPMAT Indore

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