Red Roadster
Math problem from logic book?
The Terrill family includes Mr. and Mrs. Terrill and their teenage son, Johnny. The family owns 4 vehicles: a roadster, a sedan, a popular new sports-utility vehicle, and a pick up truck. What vehicle is the usual transportation for each family member, and what is the color of each of the 4 vehicles?
1.Mr. Terrill drives the white vehicle, which is not the sedan, to and from work daily.
2.The truck has fewer miles on it than the yellow vehicle, the green vehicle, or the white vehicle.
3.The new vehicle Johnny drives to school is not the roadster.
4.One vehicle, which is green, is over 50 years old and is used only during antique car rallies.
5.Mrs. Terrill prefers to drive the red vehicle.
Color Vehicle
Mr.Terrill
Mrs.Terrill
Johnny
extra car
I believe there is too few information given.
From 2. you can say that the truck is the red vehicle (as it's not yellow, green or white).
From 5. you know that Mrs. Terrill drives the truck.
remaining cars= roadster, sedan, sports
remaining colors= yellow, green, white
From 1. => Mr. Terrill drives the white vehicle which is the roadster or the sports (as it is not the sedan)
From 4. => The vehicle for antique car rallies is green
From 3. => Johnny drives the yellow vehicle (as it's the only remaining color) which is the sedan or the sports (as it is not the roadster)
Now let's see if we make some assumptions we get any contradictions:
If the antique vehicle is the sedan, then johnny drives the sports car and Mr. Terrill the roadster.
If the antique vehicle is the sports car, then johnny drives the sedan and Mr. Terrill the roadster.
If the antique vehicle is the roadster, then johnny drives the sedan and Mr. Terrill the sports car.
As you can see, neither one of these assumptions generate any contradictions, therefore each case it's possible.
Good luck!
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