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SSC Sample Paper SSC CGL - Sample Paper-28

  • question_answer
    If \[{{p}^{x}}={{r}^{y}}=m\] and \[{{r}^{w}}={{p}^{z}}=n,\] then which one of the following is correct?

    A) \[xw=yz\]

    B) \[xz=yw\]

    C) \[x+y=w+z\]                

    D) \[x-y=w-z\]

    Correct Answer: A

    Solution :

    Given \[{{P}^{x}}={{r}^{y}}\] \[\Rightarrow \]   \[r={{p}^{x/y}}\]                                            ?(i) And      \[{{p}^{z}}={{r}^{w}}\] \[\Rightarrow \]   \[r={{p}^{z/w}}\]                                            ?(ii) From Eps. (i) and (ii) \[{{p}^{x/y}}={{p}^{z/w}}\] \[\Rightarrow \] \[\frac{x}{y}=\frac{z}{w}\] \[\Rightarrow \] \[xw=yz\]                     


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