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    Question

    The mean of a set of 8 numbers is 80. If the average of

    the first four numbers and the last two numbers is 90 and 60, respectively, and the ratio of the fifth number to the sixth number is 3:2, what is the value of the fifth number?
    A 25 Correct Answer Incorrect Answer
    B 85 Correct Answer Incorrect Answer
    C 100 Correct Answer Incorrect Answer
    D 96 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let fifth and sixth numbers be ‘3a’ and ‘2a’, respectively. So, 3a + 2a = (80 × 8) – (90 × 4) – (60 × 2) = 160 Or, 5a = 160 Or, a = 32 So, fifth number = 32 × 3 = 96

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