Logical Problem (with two premises & four conclusions)

Some bags are pouches. All pouches are cases. No cases are purses. Which of the following conclusions are NECESSARILY TRUE?CONCLUSIONS:I. Some pouches are purses.II. Some bags are cases.III. No bags are purses.

All children are silly people. Some silly people are rich people. All rich people are big shots. Which of the following conclusions are NECESSARILY TRUE? CONCLUSIONS: I. Some silly people are children. II. Some rich people are children. III. Some silly people are big shots.

All hammers are tools. Some tools are useless things. All useless things are trash. Which of the following is NECESSARILY TRUE given only the information above?

Conclusions: I. Some hammers are trash. II. Some tools are trash. III. All useless things are tools.