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    Question


    A.


    B.


    C.


    D.


    Correct option is C

    Given: x = √198 × √550 and y = ∛99 × ∛363
    Simplifying x: x = √198 × √550 = √(198 × 10 × 55) = √9900 = 10 × 3 = 30
    Simplifying y: y = ∛99 × ∛363 = ∛(99 × 9 × 41) = ∛36027 = 3 × 49 = 147
    Calculating 1/x + 1/y: 1/x + 1/y = 1/30 + 1/147 = (102 + 2)/4410 = 104/4410 = 0.030303
    Therefore, the value of 1/x + 1/y is approximately 0.030303. The closest answer choice is (c)

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