Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

Some chairs are racks.

All beds are trays.

All racks are beds.

Conclusions:

I. Some chairs are beds.

II. All beds are racks.

III. All trays are chairs.