A person walks 100 m Westward, then turns left and walks 100 m. He then takes 225^0 turn clockwise. In which direction is he walking now?

1. A. South-West
2. B. South-East
3. C. North-West
4. D. North-East

Answer: D

Explanation

Let’s trace the person’s direction:
1. **Walks 100 m Westward**: The person is facing West.
2. **Turns left**: If facing West, a left turn means turning 90 degrees counter-clockwise. This changes the direction to South. The person is now facing South.
3. **Takes a 225-degree turn clockwise**: From facing South:
– A 90-degree clockwise turn from South leads to West.
– Another 90-degree clockwise turn from West leads to North. (Total 180 degrees clockwise).
– Remaining turn: 225 – 180 = 45 degrees clockwise.
– A 45-degree clockwise turn from North leads to North-East.

Alternatively, using degrees (North = 0°, East = 90°, South = 180°, West = 270°):
1. Starts facing West (270°).
2. Turns left (90° counter-clockwise): 270° – 90° = 180° (South).
3. Takes a 225° turn clockwise: 180° + 225° = 405°.
4. To find the final direction, subtract 360° (a full circle): 405° – 360° = 45°.
5. 45° corresponds to the North-East direction. This question tests direction sense and angular turns.