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      Question

      The average marks of 20 students in a class is 40. If

      the marks of one student scoring 35 are replaced by another student scoring 55, and then each student gets 2 grace marks, what will be the new average?
      A 57 Correct Answer Incorrect Answer
      B 27 Correct Answer Incorrect Answer
      C 43 Correct Answer Incorrect Answer
      D 72 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Original total marks = 20 x 40 = 800 Replacement increases total by 55 - 35 = 20 New total = 800 + 20 = 820 Now each of 20 students gets 2 grace marks, so total increase = 20 x 2 = 40 Final total = 820 + 40 = 860 New average = 860/20 = 43 Hence, the correct answer is 43.

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