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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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