IMAT 2018 Q19 [Puzzle Pieces]

A puzzle is made up of these three pieces. The pieces can be flipped and rotated, but they cannot overlap.


Which one of the following shapes CANNOT be made using these three pieces?


Simple steps to solve critical thinking problems:

  • Underline key information
  • Determine what they are trying to ask, and what you will need to solve it
  • Eliminate any non-essential information
  • Draw a picture, graph, or equation
  • In moments of high stress like exam taking, always work with the paper they give you to avoid careless mistakes.
  • Solve.

The best approach here is to physically draw on the exam page and see if you can find a configuration that incorporates all three shapes. For the answer below, I labelled each piece with a number (1-3 from right to left on the shapes presented in the problem). Then I tried to find a way to fit each shape in. You can see by forcing yourself to also number them, you will make sure that all are included only 1 time, instead of making the mistake of repeating one.

\fcolorbox{red}{grey!30}{As you can see in the picture, the answer is clearly E cannot be made. }