Two statements are given, followed by two conclusions numbered I and II. 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:
All pineapples are papayas.
All papayas are pears.

Conclusions:
I. All pineapples are pears.
II. Some pears are pineapples.

The correct option is Both conclusions I and II follow.

Step-by-step Explanation:

Analysis of Statements:

1. Statement 1: "All pineapples are papayas."
This means that the set of all pineapples is completely contained within the set of papayas.

2. Statement 2: "All papayas are pears."
This means that the set of all papayas is completely contained within the set of pears.

Combining the Statements:

Since all pineapples are inside papayas, and all papayas are inside pears, it logically follows that all pineapples are also inside pears. (Pineapples ⊆ Papayas ⊆ Pears)

Evaluation of Conclusions:

1. Conclusion I: "All pineapples are pears."
Since pineapples are a subset of papayas, and papayas are a subset of pears, all pineapples are indeed pears. Thus, Conclusion I logically follows.

2. Conclusion II: "Some pears are pineapples."
Since all pineapples are pears (and assuming pineapples exist), those pears that are pineapples make the statement "Some pears are pineapples" true. Thus, Conclusion II logically follows.

Therefore, both conclusions I and II logically follow from the given statements.