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 given conclusions logically follow(s) from the statements.
Statements:
All books are pens.
All pens are erasers.
All erasers are files.
Conclusions:
I. All pens are files.
II. All pens are books.
III. All files are books.
IV. All files are pens.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Only conclusion I follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All pens are files → True (As all pens are erasers and all erasers are files we can say that all pens are files.)
II. All pens are books → False (It is possible but not definite, as some pens are books.)
III. All files are books→ False(It is possible but not definite, as some files are books.)
IV. All files are pens→ False (It is possible but not definite, as some files are pens.)
Hence, only conclusion I follows.