What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 06 cm?  Choose the correct answer:  A) 153  B) 187  C) 540  D) 748  E) 546
The marbles used to tile the floor are square marbles.   Therefore, the length of the marble=width of the marble.the length of the marble=width of the marble.   As we have to use whole number of marbles, the side of the square should a factor of both 5 m 78 cm and 3m 06. And it should be the highest factor of 5 m 78 cm and 3m 06.   5 m 78 cm = 578 cm and 3 m 06 cm = 306 cm.   The HCF of 578 and 306 = 34.   Hence, the side of the square is 34.   The number of such square marbles required,   =578×306/34×34   =153 marbles   Option(153)
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What is the minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 06 cm?