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SSC Sample Paper SSC CGL - Sample Paper-10

  • question_answer
    \[999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}+999\frac{5}{7}+999\frac{6}{7}\] is simplified to

    A)  5997   

    B)  5979

    C)  5994                           

    D)  2997

    Correct Answer: A

    Solution :

    Expression                  . \[=999\frac{1}{7}+999\frac{2}{7}+...+999\frac{6}{7}\] \[=\left( 999+\frac{1}{7} \right)+\left( 999+\frac{2}{7} \right)+...+\left( 999+\frac{6}{7} \right)\]\[=(6\times 999)+\left( \frac{1}{7}+\frac{2}{7}+\frac{3}{7}+...+\frac{6}{7} \right)\] \[=5994+\left( \frac{1+2+3+4+5+6}{7} \right)\] \[=5994+\frac{21}{7}=5994+3\] \[=5997\]


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