3750.74 – Toxic Tangles


In a world inhabited exclusively by shapelife, cosmic collisions have contaminated the hydrosphere with extracranial toxicity. The following three statements are true:

  • Rhombicosi are non-toxic.
  • No shapelife is a Dodecahedron who can see the fifth dimension.
  • Non-toxic shapelifers are Dodecahedra.

Which of the following is/are true?

  1. Dodecahedra are Rhombicosi.
  2. Some Rhombicosi can see the fifth dimension.
  3. A shapelife who cannot see the fifth dimension is toxic.
  4. No Rhombicosi can see the fifth dimension.

Solution

From the Venn diagram, we see that only statement IV is true.

3750_74_solution_5161b56b8f.png