What is the minimum number of square marbles required to tile a floor of length 3 metres 39cm and width 2 metres 26 cm? Options:
A) 176	B) 187	C) 540	D) 748	E) 6
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 3 m 39 cm and 2m 26. And it should be the highest factor of 3 m 39 cm and 2m 26.   3 m 39 cm = 339 cm and 2 m 26 cm = 226 cm.   The HCF of 339 and 226 = 113.   Hence, the side of the square is 113.   The number of such square marbles required,   =339×226/113×113   =6 marbles   Option(6)
<result>E</result>
What is the minimum number of square marbles required to tile a floor of length 3 metres 39cm and width 2 metres 26 cm?