Below are given three statements followed by conclusions. You have to take the given statements to be true even if they appear to be at variance with commonly known facts, and then decide which of the conclusion(s) logically follow(s) from the given statements. For the given question, mark out an appropriate answer choice that you think is correct.
Statements:
I. No oranges are bananas.
II. Some bananas are apples.
III. All apples are fruits.
Conclusions:
I. Some oranges are fruits.
II. All fruits are oranges.
III. Some bananas are fruits.
IV. Some apples are not fruits.

Statements:
I. No oranges are bananas.
II. Some bananas are apples.
III. All apples are fruits.

Conclusions:
I. Some oranges are fruits.

Based on the statements, there is no direct or indirect relation between oranges and fruits. Therefore, conclusion I does not follow.
II. All fruits are oranges.

This contradicts the given statements (since apples are fruits, but oranges are not mentioned as covering all fruits). Therefore, conclusion II does not follow.​
III. Some bananas are fruits.

Since some bananas are apples, and all apples are fruits, it logically follows that some bananas are fruits. Therefore, Conclusion III follows.
IV. Some apples are not fruits.​​

This is directly contradicted by statement (III), which says all apples are fruits. Thus, Conclusion IV does not follow.

Thus, the correct option is (d) Only III follows.