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SSC Sample Paper Mock Test-19 SSC CGL Tear-II Paper-1

  • question_answer
    The value of \[3+\frac{3}{3+\frac{1}{3+\frac{1}{3}}}\]is

    A)  \[\frac{40}{11}\]

    B)  \[\frac{43}{11}\]

    C)  \[\frac{46}{11}\]

    D)  \[\frac{41}{11}\]

    Correct Answer: B

    Solution :

    Given expression\[=3+\frac{3}{3+\frac{1}{\frac{9+1}{3}}}\]
    \[=3+\frac{3}{3+\frac{3}{10}}=3+\frac{3}{\frac{30+3}{10}}\]
    \[=3+\frac{30}{33}=3+\frac{10}{11}\]
    \[=\frac{33+10}{11}=\frac{43}{11}\]


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