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