Logic Puzzle with Eight Clues I am not sure where to start to solve this problem:


*

*Smith, Jones, and Rodriguez are the engineer, brakeman, and fireman on a train, not necessarily in that order.

*Riding on the train are three passengers with the same last names as the crewmembers, identified as passenger Smith, passenger Jones, and passenger Rodriguez.

*The brakeman lives in Denver.

*Passenger Rodriguez lives in San Francisco.

*Passenger Jones long ago forgot all the algebra that he learned in high school.

*The passenger with the same name as the brakeman lives in New York.

*The brakeman and one of the passengers, a professor of mathematical physics, attend the same health club.

*Smith beat the fireman in a game of tennis at a court near their homes.
Can you discover a theorem that tells the name of the engineer, the brakeman, and the fireman?
I am lost on where to start. Thank you

*

*From (6) Smith is not Fireman

*From (3) and (5) Passenger Jones can not be the Person with brakeman because he forgot his algebra and can not be Professor.

*So passenger Jones live in New York and hence from (4) Jones is brakeman .

*So Rodriguez is fireman because smith can not be Fireman.

*And Smith is Engineer.

