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Tiles of 8 cm by 6 cm are laid, all the same way round, to cover the smallest possible square floor in a bathroom in Pune. How many tiles are needed?

Class 6Playing with NumbersPlaying with Numbers
  • A24
  • B12
  • C48
  • D14

Step-by-Step Solution

The side of the square must be a common multiple of 8 and 6; the smallest is LCM cm. Along the side fit tiles, down it , so tiles. (24 is the side, not the tile count; 48 uses a side of )
Answer: B) 12

Key idea: HCF and LCM — the two ends of common ground

**HCF** (Highest Common Factor) is the biggest number that divides both numbers — it sits at the *small* end of common factors. **LCM** (Least Common Multiple) is the smallest number both numbers divide — it sits at the *small* end of common multiples (which is the *big* side of factors). For Class 6, the simplest method is listing: write all the factors (or first several multiples) of each number and pick the right one. Faster methods come in Class 7.

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