SSC Sample Paper SSC CGL - Sample Paper-5

  • question_answer
    A cistern of capacity 8000 L measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The thickness of the bottom is

    A)  1 m                             

    B)  1.1 m

    C)  1 dm               

    D)  90 cm

    Correct Answer: C

    Solution :

    Walls are 5 cm thick. \[\therefore \] Internal length \[=(330-2\times 5)\,cm\]\[=320\,cm\] Breadth \[=(260-10)\,cm=250\,cm\] Height \[=(110-x)\,cm\] Here, the cistern is assumed to be open and x is the thickness of bottom. \[\therefore \]      \[320\times 250\times (110-x)\]\[=8000\text{ }L\] \[\Rightarrow \] \[320\times 250\times (110-x)\]       \[=8000\times 1000\,c{{m}^{3}}\] \[\Rightarrow \] \[(110-x)=\frac{8000000}{320\times 250}\] \[\Rightarrow \] \[110-x=100\] \[\Rightarrow \] \[x=10\,cm=1\,dm\]        


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