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Home Questions & Answers Aptitude Geometry Question Answers A rectangular courtyard 3.78 m lang 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 rectangular courtyard 3.78 m lang 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: 

  • 350
  • 450
  • 460
  • 470
  • Explanation:

    The length of courtyard = 3.78m = 378 cm

    And, the broad of courtyard = 5.25m = 525cm

    The courtyard is to be paved by square tiles of equal size.

    ∴ Size of square tile is the HCF of length and breadth as to cover exactly.

    The HCF of 525 and 378 = 21 cm

    Then, the side of each square tile = 21 cm

    The number of tiles = 525×378/21×21

    =450