Three statements are given, followed by three conclusions numbered I, II, 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 apples are oranges.
Some oranges are bananas.
All bananas are kiwis.
Conclusions:
I. Some oranges are kiwis.
II. Some oranges are apples.
III. Some apples are bananas.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some oranges are kiwis → True (As some oranges are bananas, and all bananas are kiwis, so, some oranges are kiwis is also true .)
II. Some oranges are apples → True (As all apples are oranges, so, some oranges are apples is also true.)
III. Some apples are bananas → False (It is possible, but no definite conclusion can be drawn.)
Hence, Only conclusions I and II follow.