Assume the statements are true.

Statements: Some caps are hats. No hat is a helmet.

Conclusions:

I. Some caps are not helmets.

II. All helmets being caps is a possibility.

Explanation

1. 01

   The caps that are hats are not helmets, so some caps are not helmets: I follows.

2. 02

   Draw every helmet inside the cap circle, away from the hats. Every statement holds, so all helmets being caps is a possibility: II follows.

3. 03

   Both I and II follow.