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SSC Sample Paper SSC CGL - Sample Paper-12

  • question_answer
    'x' number of men can finish a piece of work in 30 days. If there were 6 men more, the work could be finished in 10 days less. The original number of men is

    A) 6                                 

    B) 10

    C) 12                    

    D) 15

    Correct Answer: C

    Solution :

    \[\overset{\mathbf{Men}}{\mathop{_{x+6}^{x}\mathop{\uparrow }_{{}}^{{}}}}\,\]                 \[\overset{\mathbf{Days}}{\mathop{_{20}^{30}\mathop{\downarrow }_{{}}^{{}}}}\,\] x + 6 : x : : 30 : 20 \[\Rightarrow \]   \[\frac{x+6}{x}=\frac{30}{20}=\frac{3}{2}\] \[\Rightarrow \]   \[2x+12=3x\] \[\Rightarrow \]   \[3x-2x+12\] \[\Rightarrow \]   \[x=12\,\text{men}\]     


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