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SSC Sample Paper Mock Test-8 SSC CGL Tear-II Paper-1

  • question_answer
    What is the least number of square tiles required to have the floor of a room 15 m 17 cm long and 9 m 2 cm broad?

    A) 840

    B)  841     

    C)  820

    D)  814

    Correct Answer: D

    Solution :

    Length of the floor \[=15\,\,\text{m}\,\,17\,\,\text{cm}=1517\,\,\text{cm}\]  
    Breadth of the floor \[=9\,\,\text{m}\,\,2\,\,\text{m}=902\,\,\text{cm}\]     
    Area of the floor \[=1517\times 902\,\,\text{c}{{\text{m}}^{2}}\]              
    The number of square tiles will be least, when the size of each tile is maximum.                          
    \[\therefore \]Size of each tile = HCF of 1517 and 902 = 41
    \[\therefore \]Required number of tiles \[=\frac{1517\times 902}{41\times 41}=814\]


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