Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some handkerchiefs are plastics.
All clothes are handkerchiefs.
All utensils are clothes.
Conclusions:
I. Some plastics are handkerchiefs.
II. All utensils are plastics.
III. Some handkerchiefs are utensils.

Let's analyze the statements using Venn diagrams or logical relations:
Statement 1: Some handkerchiefs are plastics. → This implies its converse: "Some plastics are handkerchiefs" is definitively true. Hence, Conclusion I follows.

Statement 2 & 3: "All utensils are clothes" + "All clothes are handkerchiefs" → "All utensils are handkerchiefs".

Since All utensils are handkerchiefs, it implies that there is a subset of handkerchiefs that are utensils. Therefore, "Some handkerchiefs are utensils" is definitely true. Hence, Conclusion III follows.

There is no direct or mandatory link established between utensils and plastics. Thus, "All utensils are plastics" (Conclusion II) does not necessarily follow.

Therefore, only Conclusions I and III follow.