Three statements are given, followed by four conclusions numbered I, II, III, and IV. 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 coolers are mixers.
Some mixers are scissors.
Some scissors are knives.
Conclusions:
I. Some knives are mixers.
II. Some scissors are coolers.
III. Some knives are coolers.
IV. No knife is a mixer.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. None of the conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some knives are mixers → False (It is possible, but no definite conclusion can be drawn.)
II. Some scissors are coolers → False (It is possible, but no definite conclusion can be drawn.)
III. Some knives are coolers → False (It is possible, but no definite conclusion can be drawn.)
IV. No knife is a mixer → False (It is possible, but no definite conclusion can be drawn.)
Hence, None of the conclusions follows is the correct answer.