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NTSE Sample Paper NTSE SAT Practice Test-15

  • question_answer
    The  value of \[999\frac{1}{7}+999\frac{2}{7}+999\frac{3}{7}+999\frac{4}{7}\] \[+999\frac{5}{7}+999\frac{6}{7}\]when simplified comes to

    A) 5987                              

    B) 5979

    C) 5994                            

    D) 5997

    Correct Answer: D

    Solution :

    [d] \[\left( 1000-\frac{6}{7} \right)+\left( 1000-\frac{5}{7} \right)+\left( 1000-\frac{4}{7} \right)\]\[+\left( 1000-\frac{3}{7} \right)+\left( 1000-\frac{2}{7} \right)+\left( 1000-\frac{1}{7} \right)\] \[=6000-\left( \frac{6}{7}+\frac{5}{7}+\frac{4}{7}+\frac{3}{7}+\frac{2}{7}+\frac{1}{7} \right)\] \[=6000-3=5997\]


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