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Three houses are each a different color (red, blue, and green), are located next to each other on a street, and each house is occupied by a person of a different profession (doctor, teacher, and engineer). Using the following clues, determine the color of each house and the profession of its occupant: The engineer lives in the house next to the blue one. The doctor lives in the first house. The teacher lives in the house adjacent to the green one.

Options:
A) Red house - Doctor, Blue house - Engineer, Green house - Teacher
B) Blue house - Doctor, Green house - Engineer, Red house - Teacher
C) Green house - Doctor, Red house - Engineer, Blue house - Teacher
D) Green house - Doctor, Blue house - Engineer, Red house - Teacher

1 Answer

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Final answer:

By using the provided clues, we determine that the doctor lives in the green house, the engineer in the red house, and the teacher in the blue house. Therefore, the correct option is D) Green house - Doctor, Blue house - Engineer, Red house - Teacher.

Step-by-step explanation:

To determine the color of each house and the profession of its occupant, we use the provided clues:


  1. The engineer lives in the house next to the blue one.

  2. The doctor lives in the first house.

  3. The teacher lives in the house adjacent to the green one.

With these clues, we see that the doctor cannot live in the blue house as it has a neighbor (the engineer's house), and the doctor occupies the first house. So, the doctor must be in either the red or the green house.

Since the teacher lives next to the green house and assuming there are houses on only one side of the street, the teacher cannot live in the green house. Hence, the teacher must be in the blue house, which places the teacher next to the green house on one side and the engineer on the other.

The engineer cannot be in the green house because it is adjacent to the house where the teacher lives (the blue house). Therefore, the engineer must be in the red house, leaving the green house as the doctor's residence.

The solution is:

  • Green house - Doctor
  • Red house - Engineer
  • Blue house - Teacher

The correct option is D) Green house - Doctor, Blue house - Engineer, Red house - Teacher.

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