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Australian AMC 2013 - Junior Question 24

AMC AUSTRALIA · Australian AMC 2013 - Junior

Question 24

Consider the following $4\times4$ squares with a $1\times1$ square deleted (shown in black).

Question illustration

Consider tiling the squares P, Q and R using tiles like the one below.

Question illustration

Which of the following statements is true?
  1. Only P can be tiled this way.
  2. Only Q can be tiled this way.
  3. Only R can be tiled this way.
  4. Only P and Q can be tiled this way.
  5. All the shapes can be tiled this way.