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NTSE Sample Paper NTSE SAT Practice Test-18

  • question_answer
    If \[{{\left( \frac{p}{q} \right)}^{rx-s}}={{\left( \frac{q}{p} \right)}^{px-q}}\]then the value of x is

    A) 1                     

    B) \[\frac{q+s}{p+r}\]

    C)  \[\frac{p+r}{q+s}\]                  

    D)        \[\frac{q+s}{p+s}\]

    Correct Answer: B

    Solution :

    [b] Given expression is written as \[{{\left( \frac{p}{q} \right)}^{rx-s}}\] \[={{\left( \frac{p}{q} \right)}^{-(px-q)}}\] \[\Rightarrow \,rx-s=q-px\,or\,x=\frac{q+s}{p+r}\]


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