SSC Sample Paper Mock Test-2 SSC CGL Tear-II Paper-1

  • question_answer
    If\[x-\frac{5}{7+\frac{1}{4+\frac{1}{2+\frac{1}{3}}}}=3,\]find x.

    A)  \[\frac{155}{224}\]                  

    B)  \[2\left( \frac{155}{224} \right)\]

    C)  \[3\left( \frac{155}{224} \right)\]

    D)  None of these

    Correct Answer: C

    Solution :

    Hare, \[x-\frac{5}{7+\frac{1}{4+\frac{1}{\frac{7}{3}}}}=x-\frac{5}{7+\frac{1}{4+\frac{3}{7}}}\]
    \[=x-\frac{5}{7+\frac{1}{\frac{31}{7}}}=x-\frac{5}{7+\frac{7}{31}}\]
    \[=x-\frac{5}{\frac{224}{31}}=x-\frac{31\times 5}{224}=x-\frac{155}{224}\]
    So,\[x-\frac{155}{224}=3\]
    \[\Rightarrow \]\[x=3+\frac{155}{224}=3\left( \frac{155}{224} \right)\]
               


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