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    • Question

      The average number of pencils distributed among five

      students is 10. If each student received 1 pencil more than the one before him, then find the highest number of pencils received by any student.
      A 14 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 11 Correct Answer Incorrect Answer
      D 13 Correct Answer Incorrect Answer
      E 12 Correct Answer Incorrect Answer

      Solution

      Let the pencils received by 1st student be ‘x’
      According to the question,
      (x + x + 1 + x + 2 + x + 3 + x + 4) = 10 × 5
      Or, 5x + 10 = 50
      Or, 5x = 40
      Or, x = 8
      Therefore, highest number of pencils received by any student = (x + 4) = 12

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