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SSC Sample Paper Mock Test-6 SSC CGL Tear-II Paper-1

  • question_answer
          \[\frac{137\times 137+137\times 133+133\times 133}{137\times 137\times 137-133\times 133\times 133}\]is equal to

    A)  4

    B)  270

    C)  \[\frac{1}{4}\]

    D)  \[\frac{1}{270}\]

    Correct Answer: C

    Solution :

    Let 137 = a and 133 = b Given expression \[=\frac{a\times a+a\times b+b\times b}{a\times a\times a-b\times b\times b}\] \[=\frac{{{a}^{2}}+ab+{{b}^{2}}}{{{a}^{3}}-{{b}^{3}}}\] \[=\frac{{{a}^{2}}+ab+{{b}^{2}}}{(a-b)({{a}^{2}}+ab+{{b}^{2}})}=\frac{1}{a-b}\] \[=\frac{1}{137-133}=\frac{1}{4}\]


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