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    Question

    There are 15 natural numbers whose average is 30.6. The

    average of the first 8 numbers is 28, and the average of the last 8 numbers is 33. Find the eighth number in this sequence.
    A 31 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 27 Correct Answer Incorrect Answer
    D 30 Correct Answer Incorrect Answer
    E 29 Correct Answer Incorrect Answer

    Solution

    Sum of all 15 natural numbers = 30.6 X 15 = 459 Required, eighth number = 8 X 28 + 8 X 33 - 459 = 224 + 264 - 459 = 488 - 459 = 29

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