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10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    The value of\[\frac{{{(1.5)}^{2}}+{{(4.7)}^{3}}+{{(3.8)}^{3}}-3\times 1.5\times 4.7\times 3.8}{{{(1.5)}^{2}}+{{(4.7)}^{2}}+{{(3.8)}^{2}}-1.5\times 4.7\times -4.7\times 3.8-1.5\times 3.8}\]

    A)  8                            

    B)         9

    C)  10                           

    D)         11

    Correct Answer: C

    Solution :

     Let\[a=1.5,\,\,b=4.7\]and\[c=3.8\] \[\therefore \] Given expression \[=\frac{{{a}^{3}}+{{b}^{3}}+{{c}^{3}}-3abc}{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca}\] \[=\frac{(a+b+c)({{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca)}{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}-ab-bc-ca}\] \[=a+b+c\] \[=1.5+4.7+3.8=10\]


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