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:
All cups are glasses.
All glasses are bottles.
All bottles are jars.

Conclusions:
(I): All cups are bottles.
(II): All glasses are jars.

To determine which of the conclusions logically follow from the given statements, we can analyze the relationships between the categories step-by-step using set theory or Venn diagram logic:

Step 1: Analyze the Statements
1. "All cups are glasses": This means the set of Cups is entirely contained inside the set of Glasses (Cups ⊆ Glasses).
2. "All glasses are bottles": This means the set of Glasses is entirely contained inside the set of Bottles (Glasses �� Bottles).
3. "All bottles are jars": This means the set of Bottles is entirely contained inside the set of Jars (Bottles ⊆ Jars).

Step 2: Combine the Statements
By combining these subset relationships, we get a nested chain of sets:
Cups ⊆ Glasses ⊆ Bottles ⊆ Jars

Step 3: Evaluate the Conclusions
- Conclusion (I): "All cups are bottles"
Since the set of Cups is entirely inside the set of Glasses, and Glasses is entirely inside Bottles (Cups ⊆ Glasses ⊆ Bottles), it transitively follows that all Cups are Bottles. Therefore, Conclusion (I) logically follows.
- Conclusion (II): "All glasses are jars"
Since the set of Glasses is entirely inside the set of Bottles, and Bottles is entirely inside Jars (Glasses ⊆ Bottles ⊆ Jars), it transitively follows that all Glasses are Jars. Therefore, Conclusion (II) logically follows.

Conclusion:
Since both Conclusion (I) and Conclusion (II) are logically valid, the correct choice is Both conclusions (I) and (II) follow.