Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow(s) from the given statements.

Statements:
All rabbits are mats.
All rabbits are zebras.
All zebras are lamps.
Conclusions:
(I): All rabbits are lamps.
(II): Some zebras are mats.

The correct option is Both conclusions (I) and (II) follow.

Step-by-step Explanation:

Let us analyze the given statements and see how the conclusions can be logically derived:
1. All rabbits are mats: This means the set of all rabbits is completely contained within the set of mats.
2. All rabbits are zebras: This means the set of all rabbits is completely contained within the set of zebras.
3. All zebras are lamps: This means the set of all zebras is completely contained within the set of lamps.

Evaluating Conclusion (I): All rabbits are lamps
From Statement 2, we know that all rabbits are zebras. From Statement 3, we know that all zebras are lamps. By transitive relation, since all rabbits are zebras and all zebras are lamps, all rabbits must also be lamps. Therefore, conclusion (I) logically follows.

Evaluating Conclusion (II): Some zebras are mats
From Statement 1, we know that all rabbits are mats. From Statement 2, we know that all rabbits are zebras. Since every rabbit is both a zebra and a mat, the intersection between the set of zebras and the set of mats is non-empty. This proves that there are indeed some zebras that are mats. Therefore, conclusion (II) logically follows.

Since both conclusions (I) and (II) logically follow from the given statements, the correct option is Both conclusions (I) and (II) follow.