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Two ribbons, 3 m 60 cm and 2 m 52 cm long, are to be cut into pieces of equal length with nothing left over. How long can each piece be, at most?

Competition practiceNumber System, HCF & LCM
  • A36 cm
  • B18 cm
  • C72 cm
  • D12 cm

Step-by-Step Solution

The piece length must divide both 360 cm and 252 cm; the greatest such length is HCF(360, 252) = 36 cm.
Answer: A) 36 cm

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