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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2003

  • question_answer
    If arithmetic mean and harmonic mean of two numbers be 27 and 12, then their geometric mean is equal to

    A)  36             

    B)  24

    C)  18             

    D)  9

    Correct Answer: C

    Solution :

     Let two numbers are a and b. \[\therefore \] \[AM=\frac{a+b}{2}=27\] \[\Rightarrow \] \[a+b=54\] ?.(i) and     \[HM=\frac{2ab}{a+b}=12\] \[\Rightarrow \] \[2ab=12(a+b)\] \[\Rightarrow \] \[ab=6\times 54\] \[\Rightarrow \] \[ab=324\] \[\therefore \] \[GM=\sqrt{ab}=\sqrt{324}=18\]


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