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Problem 16 - Entrance Test

A person starts from a point, walks 10m straight. Turns left, walks 5m. Turns right, walks 8m. Turns left, walks 5m. If he is finally walking towards North, in which direction did he start?

Correct: B

Let's trace the path backwards from the final direction. 1. Final direction: North. 2. Before walking North for 5m, he took a Left turn. If he turned left to face North, he must have been walking East before the turn. 3. Before walking East for 8m, he took a Right turn. If he turned right to face East, he must have been walking North before the turn. 4. Before walking North for 5m, he took a Left turn. If he turned left to face North, he must have been walking East before the turn. 5. Before walking East for 10m (straight), he started from a point. So, he started walking East. Let's verify by moving forward: - Start: East - 10m straight: walking East. - Turns left: now walking North. - Walks 5m: still walking North. - Turns right: now walking East. - Walks 8m: still walking East. - Turns left: now walking North. - Walks 5m: still walking North. (Final direction matches the given condition). Therefore, he started walking East.