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Problem 13 - Entrance Test

A person starts walking North for 12 meters. He turns right and walks 15 meters. Then he turns left and walks 8 meters. He again turns left and walks 3 meters. Finally, he turns left and walks 20 meters. What is the shortest distance from the starting point?

Correct: A

Let the starting point be (0,0). 1. Walks 12 meters North: (0, 12). 2. Turns right (East) and walks 15 meters: (15, 12). 3. Turns left (North) and walks 8 meters: (15, 12+8) = (15, 20). 4. Turns left (West) and walks 3 meters: (15-3, 20) = (12, 20). 5. Turns left (South) and walks 20 meters: (12, 20-20) = (12, 0). His final position is (12, 0). The shortest distance from the starting point (0,0) to (12,0) is 12 meters.