The correct answer is: C. Either I or II follows
The first statement is “All tubes are handles.” This means that the set of tubes is a subset of the set of handles. The second statement is “All cups are handles.” This means that the set of cups is also a subset of the set of handles.
From these two statements, we can conclude that the set of tubes is a subset of the set of cups. However, we cannot conclude that the set of cups is a subset of the set of tubes. This is because the two statements do not provide any information about the relationship between the sets of tubes and cups other than the fact that they are both subsets of the set of handles.
Therefore, either conclusion I or II follows, but not both.
Here is a more detailed explanation of each option:
- Option A: Only conclusion I follows. This option is incorrect because conclusion II does not follow from the given statements.
- Option B: Only conclusion II follows. This option is incorrect because conclusion I does not follow from the given statements.
- Option C: Either I or II follows. This option is correct because conclusion I or II follows from the given statements.
- Option D: Neither I nor II follows. This option is incorrect because conclusion I follows from the given statements.
- Option E: Both I and II follow. This option is incorrect because conclusion II does not follow from the given statements.