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7th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Compounded ratio of (x + y):(x - y), \[\left( {{\mathbf{x}}^{\mathbf{2}}}+\text{ }{{\mathbf{y}}^{\mathbf{2}}} \right)\text{ }:\text{ }{{\left( \mathbf{x}+\text{ }\mathbf{y} \right)}^{\mathbf{2}}}\mathbf{and}\text{ }\left( {{\mathbf{x}}^{\mathbf{2}}}-\text{ }{{\mathbf{y}}^{\mathbf{2}}} \right)\text{ }:\text{ }\left( {{\mathbf{x}}^{\mathbf{4}}}-\text{ }{{\mathbf{y}}^{\mathbf{4}}} \right)\]is:

    A) (x + y) : 1 

    B)               (x - y) : (x + y)

    C) \[(1 : \left( {{x}^{2}}- {{y}^{2}} \right)\]  

    D) \[\left( {{x}^{2}}+ {{y}^{2}} \right) : \left( {{x}^{2}}- {{y}^{2}} \right)\]

    E) None of these

    Correct Answer: C

    Solution :

    Explanation \[\frac{\cancel{x}+}{-}\times \frac{{{{}}^{2}}+{{y}^{2}}}{{{(+)}^{2}}}\times \frac{{{{}}^{2}}-{{{}}^{2}}}{\underset{{{x}^{2}}-{{y}^{2}}}{\mathop{{{{}}^{4}}-{{{}}^{4}}}}\,}=1\,:\,\,({{x}^{3}}-{{y}^{2}})\]   


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