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NTSE Sample Paper NTSE SAT Practice Test-18

  • question_answer
    A can do a job in 16 days and B in 12 days. If with the help of C, the work is finished in days, then C alone can do it in

    A) 9- days                         

    B) 9- days

    C) 9- days             

    D) 10 days

    Correct Answer: C

    Solution :

    [c] A's 4 days work \[=\frac{1}{4}\] B's 4 days work \[=\frac{1}{3}\] C's 4 days work \[=1-\left( \frac{1}{4}+\frac{1}{3} \right)=\frac{5}{12}\] C's 1 day work \[=\frac{1}{4}\times \frac{5}{12}=\frac{5}{48}\] \[\Rightarrow \] C will do the work in \[\frac{48}{5}\] days i.e. \[9\frac{3}{5}\]days.  


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