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:
All spoons are forks.
All knives are forks.
All forks are plates.
Conclusions:
I. All knives are plates.
II. All plates are spoons.
III. Some plates are knives.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Both conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All knives are plates → True (As knives are forks, and all forks are plates, so all knives are plates is also true.)
II. All plates are spoons → False (It is possible, but no definite conclusion can be drawn.)
III. Some plates are knives → True (As all knives are forks, all forks are plates, so, some plates are knives is also true.)