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      Question

      In an exam of 100 marks, the average marks of a class of

      38 students are 72. If the top 3 scorers of the class leave, the average score falls “down by 1. If the other two toppers except "the highest topper scored not more than 77", then what is the maximum score the topper can score?
      A 92 Correct Answer Incorrect Answer
      B 99 Correct Answer Incorrect Answer
      C 98 Correct Answer Incorrect Answer
      D 97 Correct Answer Incorrect Answer
      E 95 Correct Answer Incorrect Answer

      Solution

      Total score of 38 students = (38 × 72) = 2736 Total score of top 3 scorers = 2736 – (35 × 71) = 251 To minimize the score of the top scorer, we assume the other two top scorers score the maximum they can = 77 marks each. So, the top scorer scored = 251 – 154 = 97 marks.

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