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KVPY2018MathematicsStatistics

A 100 mark examination was administered to a class of 50 students. Despite only integer marks being given, the average score of the class was 47 . 5   . Then, the maximum number of students who could more than the class average is

Options

  1. A25
  2. B35
  3. C45
  4. D49

Correct answer

D. 49

Step-by-step solution

Total number of students = 50 Average marks of student = 47 . 5 ∴ Total marks of students = 50 × 47 . 5 = 2375 Now, the student get integer marks Hence, the maximum number of students we will divide total mark by 48 . ∴    237 b 48 = 49

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