Updates
UPSC Prelims 2024CSATLogical ReasoningDirection Sense

Q57. 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?

A. South-West
B. South-East
C. North-West
D. North-East✓ Correct

Detailed Solution

✓ Correct Answer: Option D

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.

Ace UPSC with AI-powered Practice

LearnPro's test series adapts to your weak topics and shows real analytics.

Explore Courses →

Our Courses

72+ Batches

Our Courses
Contact Us