Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some pens are books.
All books are compasses.
Some compasses are pins.
Conclusions:
I. Some compasses are pens.
II. All compasses are pens.
III. Some pins are books.
IV. Some compasses are books.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Only conclusions I and IV follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some compasses are pens → True (As some pens are books, and all looks are compasses, so, some compasses are pens.)
II. All compasses are pens → False (It is possible, but no definite conclusion can be drawn.)
III. Some pins are books → False (It is possible, but no definite conclusion can be drawn.)
IV. Some compasses are books → True (As all books are compasses, so, some compasses are books is also true.)