Multiple Choice Questions on If x3 ndash y3 117 8 and x ndash y 3 2 then the value of x2 xy y2 will be ........ for Bihar civil service (BPSC) Preparation

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Multiple Choice Questions

If x3 ndash y3 117 8 and x ndash y 3 2 then the value of x2 xy y2 will be ........

Quantitative Aptitude (CSC) Number System
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    If x3 – y3 = 117/8 and x – y = 3/2 then the value of x2 + xy + y2 will be 

    1 

    Incorrect Answer

    5/8 

    Incorrect Answer

    39/4 

    Correct Answer

    39/8 

    Incorrect Answer

    None of the above/More than one of the above

    Incorrect Answer
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    Explanation:

    39/4 

    Given:

    x3 - y3 = 117/ 8

    x - y = 3/2

    Calculation: 

    We have, 

    x3 - y3 = (x-y) (x2+ xy + y2)

    ⇒ 117/8 = 3/2 x (x2+ xy + y2)

    ⇒  (x2+ xy + y2) = (117/8) x (2/3)

    ⇒ 39/4  

    By: Parvesh Mehta
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