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Direction inference from turn sequence: Identify the initial facing direction. Path summary: Walk 6 km, turn right and walk 2 km, then turn left and walk 10 km. At the end, the traveler is moving toward the North. From which direction did the journey start?

Difficulty: Easy

North
South
East
West

Correct Answer: North

Explanation:

Given dataThe final move (after a right turn then a left turn) is along the original heading.

Concept/ApproachTurning right then left restores the initial heading. Since the last segment is toward the North, the initial heading must also be North.

Step-by-stepLet initial heading = H.After first right ⇒ H_R.After next left ⇒ back to H.Given final = North ⇒ H = North.

Final AnswerNorth

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