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:
Some boats are ships.
All ships are yachts.
All yachts are barges.
Conclusions:
I. Some barges are ships.
II. Some barges are boats.
III. Some yachts are boats.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. All conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some barges are ships → True (As all ships are yachts, and all yachts are barges, so, some barges are ships is also true. )
II. Some barges are boats → True (As some boats are ships, all ships are yachts, and all yachts are barges, so, some barges are boats is also true.)
III. Some yachts are boats → True (As some boats are ships, all ships are yachts, and all yachts are barges, so, some yachts are boats is also true.)