Analyze the statements below and determine which of the conclusions logically follows, assuming the statements to be absolutely true even if they contradict reality.

Read the given statements and conclusions carefully, and determine which of the conclusions follow logically from the statements.

Statements:
Only Fruit is Banana
83.5% Fruit is Citrus
None Citrus is Dragonfruit

Conclusions:
I. No Banana is Dragonfruit
II. Some Fruit is not Dragonfruit

Correct Answer: If both conclusions I and II follow

Step-by-Step Explanation:

Step 1: Understand and break down the given statements

1. "Only Fruit is Banana": In formal logic (syllogisms), the statement "Only A is B" translates directly to "All B is A", with the unique property that B cannot belong to any category other than A. Thus, all Bananas are Fruits, and Bananas have no connection or overlap with any entity outside of Fruit.

2. "83.5% Fruit is Citrus": Any percentage greater than 0% and less than 100% means "Some". Therefore, this statement translates to "Some Fruit is Citrus".

3. "None Citrus is Dragonfruit": This means "No Citrus is Dragonfruit". There is completely no overlap between Citrus and Dragonfruit.

Step 2: Evaluate Conclusion I

Conclusion I states: "No Banana is Dragonfruit"

Since the first statement specifies "Only Fruit is Banana", Banana is exclusively confined to Fruit and cannot interact with, belong to, or overlap with any other element outside of Fruit that isn't connected through valid inclusions. Moreover, even generally, as Bananas are strictly contained within Fruit and no part of Banana is stated to be linked with Dragonfruit (and Banana cannot be linked to any outside set), it logically follows that no Banana can be a Dragonfruit. Thus, Conclusion I logically follows.

Step 3: Evaluate Conclusion II

Conclusion II states: "Some Fruit is not Dragonfruit"

From statement 2, we know that some portion of Fruit is Citrus (83.5% of Fruit). From statement 3, we know that no Citrus is Dragonfruit. Therefore, that specific portion of Fruit which is Citrus can never be Dragonfruit. Hence, it definitely holds true that "Some Fruit is not Dragonfruit". Thus, Conclusion II logically follows.

Conclusion:

Since both Conclusion I and Conclusion II logically follow from the given statements, the correct choice is If both conclusions I and II follow.