During a Memorial Day weekend, four veterans,
Allan, Bill, Carl and Dan, had their reunion. They exchanged stories
about their previous missions in the Navy. Each of them has served on two
different types of naval vessels. The two who served on an aircraft
carrier together never served on the submarine the other two served
together. The two who served on a destroyer together never served on the
cruiser the other two served together. Carl and Dan had served on the same ship
together. After Allan and Bill served
on the same ship together, Allan and Dan served on another ship together. Allan
never served on a destroyer. Carl and Bill never served on an aircraft carrier.
Based on the information above, fill in the
following blanks:
Allan had served on a ________ and a ___________.
Bill had served on a _________ and a ___________.
Carl had served on a ________ and a ___________.
Dan had served on a _________ and a ___________.
Solution: From
the above information, we know that 2 served on an aircraft carrier, 2 served on
a submarine, 2 served on a destroyer, 2 served
on a cruiser. From the
final statement "Carl and Bill never served on an aircraft
carrier" and the statement "The two who served on an aircraft
carrier together never served on the submarine the other two served
together", we can conclude that Carl and Bill has served on an
submarine while the other two Allan and Dan served on a aircraft
carrier. The other
remaining type of ships are destroyer and cruiser. We also know that "Allan and Bill served
on the same ship together" which may either be the destroyer or the
submarine. Since "Allan
never served on a destroyer" Allan and Bill must have served on a
cruiser together. From the statement "The two who served on a destroyer together never served on the
cruiser the other two served together", we conclude that the other
two, Carl and Dan, served on a destroyer. Therefore
to summarize: Allan had served on a aircraft
carrier and a cruiser.
Bill had served on a submarine and a cruiser.
Carl had served on a submarine and a destroyer.
Dan had served on a aircraft carrier and a destroyer.
