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SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

  • question_answer
    The sum of the roots of the equation\[5{{x}^{2}}+(p+q+r)x+pqr=0,\] is equal to zero. What is the value of\[({{p}^{3}}+{{q}^{3}}+{{r}^{3}})?\]

    A)  \[-\,\,3pqr\]

    B)  \[pqr\]

    C)  \[2\,\,pqr\]

    D)  \[3\,\,pqr\]

    Correct Answer: D

    Solution :

    Sum of the roots \[=\frac{-p+q+r}{5}\] \[\therefore \]      \[-\frac{(p+q+r)}{5}=0\] \[\Rightarrow \]   \[(p+q+r)=0\] \[\Rightarrow \]   \[({{p}^{3}}+{{q}^{3}}+{{r}^{3}})=3pqr\]


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