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 statements 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 d is true.