Directions: In the question below, some statements are given followed by some conclusions. Take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follow(s) from the given statements.

Statements:
Some Apples are Fruits
Only a few Mangoes are Fruits
All Mangoes are Crops

Conclusions:
I. All Crops being Apples is a possibility
II. Some Mangoes are not Fruits

Correct Answer: Both conclusions I and II follow

Step-by-Step Explanation:

1. Analyzing the Given Statements:
- Statement 1: "Some Apples are Fruits" implies that there is an overlap between the set of Apples and the set of Fruits.
- Statement 2: "Only a few Mangoes are Fruits" – In syllogism, the concept "Only a few A are B" implies two definite conditions: "Some A are B" AND "Some A are not B". Therefore, Some Mangoes are Fruits and Some Mangoes are not Fruits.
- Statement 3: "All Mangoes are Crops" means the entire set of Mangoes lies within the set of Crops.

2. Evaluating Conclusion I: "All Crops being Apples is a possibility"
- There is no negative statement or restriction between Crops (or Mangoes) and Apples.
- All Crops can be placed inside the set of Apples without contradicting any of the given statements.
- Since a scenario exists where all Crops can be Apples, Conclusion I follows as a valid possibility.

3. Evaluating Conclusion II: "Some Mangoes are not Fruits"
- As established from Statement 2 ("Only a few Mangoes are Fruits"), it directly means that Some Mangoes are not Fruits.
- Thus, Conclusion II follows as a definite truth.

Final Verdict:
Since both Conclusion I and Conclusion II logically follow from the given statements, the correct choice is Both conclusions I and II follow.