Multiple choice

In the 2010 - 2012 batch of Sloan School of Management, the average marks of a student for the third semester were 70. If he had obtained 20 marks more in Financial Management paper, 2 marks more in his TQM paper and 6 marks more in Business Management paper, his average/paper would have been 72. How many papers did he take in the third semester?

  1. 8

  2. 9

  3. 10

  4. 14
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D Correct answer
Explanation

Let n be the number of papers. Total marks = 70n. New total = 70n + 20 + 2 + 6 = 70n + 28. New average = 72, so (70n + 28)/n = 72. 70n + 28 = 72n. 2n = 28, n = 14.

AI explanation

Using the average difference method, the total increase in marks is equal to the increase in the overall average multiplied by the number of papers. The student's average increases by 72 minus 70, which is 2 marks per paper, and his total extra marks are 20 plus 2 plus 6, totaling 28. Letting n be the number of papers, the equation is 2n = 28. Solving this gives n = 14, meaning he took 14 papers.

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