There are five doors, one leads to the exit, the others lead to traps. They are in a line. The clues tell you which position the doors are in the line and where the door to freedom is. All the clues are true. Each door has a clue written on it. The clues read:
The blue door: This door is two spots away from the door to freedom.
The red door: This door is at the far right, and is two spots away from the blue door.
The purple door: This door is not next to the door to freedom.
The green door: This door is left of the blue door.
The orange door: This door is not next to the red or blue doors.
Which door leads to freedom?
Based on the given clues, we can start by making a chart to represent the positions of the doors and possible locations of the exit door:
Door Position 2 to Freedom Next to Exit
Blue Yes
Red
Purple
Green
Orange
From the clues, we can fill in the chart as follows:
The blue door is two spots away from the door to freedom, so the door to freedom must be either to the left or right of the blue door. We can mark the “2 to Freedom” column for the blue door as “Yes”.
The red door is at the far right and is two spots away from the blue door. We can place the red door at the rightmost position and mark the “2 to Freedom” column for the red door as “No”.
The purple door is not next to the door to freedom. Since we know the door to freedom is either to the left or right of the blue door, the purple door cannot be in the two spots adjacent to the blue door. We can mark the “Next to Exit” column for the purple door as “No”.
The green door is left of the blue door. Since we know the blue door is not at the leftmost position, the green door must be to the left of the blue door. We can mark the “Next to Exit” column for the green door as “No”.
The orange door is not next to the red or blue doors. Since we know the blue and red doors are two spots away from each other, the orange door cannot be in the two spots adjacent to the blue or red door. We can mark the “Next to Exit” column for the orange door as “Yes”.
Using the information from the chart, we can see that the only door that satisfies all the clues is the purple door. Therefore, the purple door leads to a trap, and the door to freedom must be one of the other doors. Since the green and orange doors are not next to the door to freedom, and the red door is at the far right, the only remaining door that could be the door to freedom is the blue door. Therefore, the blue door leads to freedom.
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