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    Question

    Consider a set of 11 distinct positive integers whose

    average is 20. If the average of the initial six integers in this set is 14, and the average of the final six integers is 24, determine the value of the sixth integer in the set.
    A 14 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 6 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer
    E 8 Correct Answer Incorrect Answer

    Solution

    Sum of 11 numbers = 11 X 20 = 220 Sum of first 6 numbers = 6 X 14 = 84 Sum of last 6 numbers = 6 X 24 = 144 Sixth number = 144 + 84 - 220 = 8

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