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Discussion

Minimum number of square marbles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm is ?

  • A.176
  • B.187
  • C.540
  • D.748

Answer: B

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 74. And it should be the highest factor of 5 m 78 cm and 3m 74.

5 m 78 cm = 578 cm and 3 m 74 cm = 374 cm.
The HCF of 578 and 374 = 34.

Hence, the side of the square is 34.

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