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      Question

      Consider six consecutive odd numbers whose average is

      34. If the highest number from this set is removed, what will be the average of the remaining five numbers?
      A 33 Correct Answer Incorrect Answer
      B 35 Correct Answer Incorrect Answer
      C 38 Correct Answer Incorrect Answer
      D 36 Correct Answer Incorrect Answer

      Solution

      Let six consecutive odd numbers be ‘x’, ‘x + 2’, ‘x + 4’, ‘x + 6’, ‘x + 8’, ‘x + 10’, respectively. ATQ; (x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10) = 34 × 6 Or, 6x + 30 = 204 Or, 6x = 174 Or, x = 29 When, the greatest number is excluded, Then, new sum of the remaining five numbers = x + x + 2 + x + 4 + x + 6 + x + 8 = 5x + 20 Required Average = {(5x + 20)/5} = (x + 4) = 29 + 4 = 33

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