Multiple choice

In an exam of 100 marks, the average marks of a class of 40 students are 76. 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 85”. Then what is the minimum score the topper can score?

  1. 95

  2. 80

  3. 85

  4. 78

  5. None of these

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A Correct answer
Explanation

Total marks of 40 students = 76×40 = 3040. After 3 toppers leave, 37 students have average 75, so total = 75×37 = 2775. Sum of 3 toppers' marks = 3040-2775 = 265. If two toppers scored at most 85 each (maximum possible), the third topper scored at least 265-85-85 = 95. This is the minimum possible score.