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Problem 1 - Entrance Test

A man walks 10 meters towards North. He then turns right and walks 15 meters. He again turns right and walks 10 meters. Finally, he turns left and walks 5 meters. In which direction and how far is he from his starting point?

Correct: B

Let the starting point be (0,0). 1. Walks 10 meters North: Position becomes (0, 10). 2. Turns right (East) and walks 15 meters: Position becomes (0+15, 10) = (15, 10). 3. Turns right (South) and walks 10 meters: Position becomes (15, 10-10) = (15, 0). 4. Turns left (East) and walks 5 meters: Position becomes (15+5, 0) = (20, 0). Final position is (20, 0). So, he is 20 meters to the East from his starting point.