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