Banking Sample Paper SBI Clerk Grade (Main) Sample Test Paper-4

  • question_answer
    If one man or three women or five boys can do a piece of work In 46 days then how many days will one man, one woman and one boy together take to complete the same piece of work?

    A)  30 days

    B)  32 days

    C)  35 days

    D)  40 days

    E)  None of these    

    Correct Answer: A

    Solution :

     \[1\text{ }man\text{ }\equiv \text{ }3\text{ }women\text{ }\equiv \text{ }5\text{ }boys\] \[\therefore \text{ }1\text{ }man\text{ }\equiv \text{ }1\text{ }woman\text{ }\equiv \text{ }1\text{ }boy\] \[\left( 5+\frac{5}{3}+1 \right)\,boys\] \[=\left( \frac{15+5+3}{3} \right)\,\,\,boys\,\,=\frac{23}{3}\,\,\,boys\] \[\therefore \,\,{{M}_{1}}{{D}_{1}}={{M}_{2}}{{D}_{2}}\] \[\Rightarrow \,\,5\times 46=\frac{23}{3}\times {{D}_{2}}\] \[\Rightarrow \,\,{{D}_{2}}=\frac{5\times 46\times 3}{23}=30\,days\]


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