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CLAT Sample Paper CLAT Sample Paper-5

  • question_answer
    The ratio between the sides of a room is 5 : 1. The cost of white washing the ceiling of the room at 50 paise per sq m is Rs 270 and the cost of papering the walls at 10 paise per sq m is Rs 48. The height of the room is        

    A)  6 m

    B)  8 m

    C)  5 m

    D)  10 m

    Correct Answer: C

    Solution :

    Area of ceiling = \[\frac{Total\,\cos t}{Cost\,of\,1\,sq\,unit}\] \[=\frac{270}{0.5}=540\,sq\,m\] Now, sine \[l\,:\,b=5x\,:\,3x\] \[\Rightarrow \] \[l\times b=15{{x}^{2}}=540\,{{m}^{2}}\] \[\Rightarrow \]  \[l=30\,\,m\] and \[b=18\,m\] Now, area of the 4 walls \[\frac{Total\,\cos t}{Cost\,of\,1\,sq\,unit}\] \[=\frac{48}{0.1}=480\,{{m}^{2}}\] \[\therefore \] \[Height=\frac{480}{2\,(30+18)}=5\,m\]


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