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 books are pencils.
Some pencils are pens.
All pens are erasers.
Conclusions:
I. Some erasers are pencils.
II. All pens are books.
III. Some erasers are pens.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Only conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some erasers are pencils → True (As some pencils are pens, and all pens are erasers, so, some erasers are pencils is also true.)
II. All pens are books → False (It is possible, but no definite conclusion can be drawn.)
III. Some erasers are pens → True (As all pens are erasers, so, some erasers are pens is also true.)