Multiple Choice Questions on If x y 7 and xy 10 then the value of 1 x3 1 y3 is ........ for SSC CHSL Preparation

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Multiple Choice Questions

If x y 7 and xy 10 then the value of 1 x3 1 y3 is ........

Quantitative Aptitude (CHSL) Algebra
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    If x + y = 7 and xy = 10, then the value of (1/x3 + 1/y3) is:

    0.131

    Incorrect Answer

    0.543

    Incorrect Answer

    0.453

    Incorrect Answer

    0.133

    Correct Answer
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    Explanation:

    1/x³ + 1/y³ = y³ +x³/ x³y³
    (x+y)³ - 3xy(x+y) / x³y³
    (7)³ - 3x10x7 / (10)³
    343 -210 / 1000
    = 133/100
    =0.133

    Hence option 4 is the correct answer.

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