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      Question

      What is the minimum number of square marbles required to

      tile a floor of length 2 metres 47 cm and width 2 metres 9 cm?  
      A 188 Correct Answer Incorrect Answer
      B 189 Correct Answer Incorrect Answer
      C 143 Correct Answer Incorrect Answer
      D 169 Correct Answer Incorrect Answer

      Solution

      If there is a requirement of minimum number of tiles, we must take the maximum size of the side. The side of square tile required to tile a floor of length 209cm & 247cm =HCF (209,247) =19cm. So area of 1 square tile = 19cm ×19cm & Area of the floor = 209cm×247cm. So number of tiles = Area of floor/ area of 1 tile = (209cm×247cm)/(19cm ×19cm) = 11×13 =143.

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