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    Question

    Find the quotient, when the mean proportional of 7(1/2)

    and 245 is divided by an even prime number.
    A 49 Correct Answer Incorrect Answer
    B 42 Correct Answer Incorrect Answer
    C 21 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer

    Solution

    Convert 7(1/2) to improper fraction:
    7(1/2) = 15/2

    Mean proportional of 15/2 and 245 = √[(15/2) × 245]
    = √[(15 × 245) / 2]
    = √[3675 / 2]
    = √1837.5

    Now divide by the only even prime number, 2:
    Quotient = (√1837.5) ÷ 2 = 21.4325

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