Question

Kailash faces towards north. Turnings to his right, he walks 25 metres. He then turns to his left and walks 30 metres. Next, he moves 25 metres to his right. He then turns to the right again and moves 40 metres. In which direction is he now from his starting point? 

• A. South-West
• B. South
• C. North-West
• D. South-East
• E.

Hint:

For direction-based problems, always visualize the movements step by step, using the standard cardinal directions (North, South, East, West) to ensure accurate results.

Answer 1

The Correct Option is D

Let's break it down: 
- Initially, Kailash is facing north. 
- He turns right (to face East) and walks 25 metres. 
- He turns left (to face North) and walks 30 metres. 
- He turns right (to face East) and walks 25 metres. 
- He turns right again (to face South) and walks 40 metres. 
Now, Kailash is in the South-East direction from his starting point. Hence, the correct answer is (d) South-East.

Answer 2

Track the net movement along the East-West axis and the North-South axis separately instead of tracing the path narratively.

1. Option A (South-West): This would need a net shift west of the start, but every turn in this path adds to the east total and none send Kailash west, so this is ruled out.
2. Option B (South): This would need the east-west components to cancel out, but the two eastward legs of 25 m each add up to 50 m east with nothing to offset them, so a pure south direction is ruled out.
3. Option C (North-West): This would need a net northward and westward shift, but the final 40 m leg south outweighs the 30 m gained north earlier, so the net north-south component is south, not north.
4. Option D (South-East): Starting north, turning right gives east (+25 east); turning left from east gives north (+30 north); turning right from north gives east again (+25 east, total 50 east); turning right from east gives south (+40 south). Netting the axes: East total = 50, North total = 30 − 40 = −10, i.e. 10 south. A net position of 50 east and 10 south is the South-East direction.

Adding up the east-west and north-south components separately confirms a net shift east and south of the starting point.

Hence, the correct answer is South-East.