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    Question

    Average of 8 numbers is 50. If average of first four and

    last two numbers is 40 and 35, respectively then find the fifth number given that ratio of fifth and sixth number is 3:2, respectively.
    A 92 Correct Answer Incorrect Answer
    B 102 Correct Answer Incorrect Answer
    C 52 Correct Answer Incorrect Answer
    D 100 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let fifth and sixth numbers be ‘3x’ and ‘2x’, respectively. So, 3x + 2x = 50 × 8 – 40 × 3 – 35 × 2 = 170 Or, 5x = 170 Or, x = 34 So, fifth number = 34 × 3 = 102

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