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7th Class Mental Ability Related to Competitive Exam Question Bank Mensuration

  • question_answer
    A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. The minimum number of such tiles is:

    A) 350      

    B)               250

    C) 450      

    D) 495

    E) None of these

    Correct Answer: C

    Solution :

    Explanation \[\operatorname{I} = 378 cm and b = 525 cm\] Maximum length of a square tile \[= HCF of \left( 378, 525 \right) = 21 cm\] \[378\,\,\times \,\,525\] Number of tiles \[=\,\,\frac{378\times 525}{21\,\,\times \,\,21} = \left( 18\,\times  25 \right) = 450.\]              


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