Anu and Bittu start from the same point. Anu walks 35 m towards the south, then 15 m towards the west and then 45 m towards the north. At the same time, Bittu walks 25 m towards the north and then 15 m towards the west. Where is Bittu now with respect to Anu's position?

Introduction / Context:
This is a comparative direction sense question involving two people, Anu and Bittu, who start from the same point but walk in different directions and distances. The goal is not to find their distance from the starting point but rather the relative position of Bittu with respect to Anu when both have finished walking. Such questions are common in reasoning exams and require careful tracking of coordinates for each person.

Given Data / Assumptions:
- Both Anu and Bittu start from the same origin point. - Anu walks 35 m south, then 15 m west and then 45 m north. - Bittu walks 25 m north and then 15 m west. - Directions follow the usual north, south, east and west convention. - We assume they walk on straight paths without curves.

Concept / Approach:
We treat the starting point as (0, 0) and calculate final coordinates for Anu and Bittu separately. South is treated as negative y and north as positive y. West is treated as negative x and east as positive x. After obtaining both final coordinates, we subtract Anu's position from Bittu's position to find how far and in which direction Bittu is from Anu. This relative position answers the question.

Step-by-Step Solution:
1. Anu: start at (0, 0), walk 35 m south to (0, -35). 2. Anu then walks 15 m west, reaching (-15, -35). 3. Anu then walks 45 m north, moving to (-15, 10) because -35 + 45 = 10. 4. Bittu: start at (0, 0), walk 25 m north to (0, 25). 5. Bittu then walks 15 m west, reaching (-15, 25). 6. Anu is at (-15, 10) and Bittu is at (-15, 25). Their x coordinates are identical, so they are on the same north south line. 7. The difference in y coordinates is 25 - 10 = 15 m, with Bittu higher (further north).

Verification / Alternative check:
A quick sketch helps. Draw Anu going down 35 m, left 15 m and then up 45 m, ending 10 m above the horizontal axis. Draw Bittu from the same start going up 25 m and left 15 m, ending further up. Both final points lie on the vertical line x = -15 m. The vertical separation between them is clearly 15 m, with Bittu above Anu. This geometric visualization supports the coordinate calculation.

Why Other Options Are Wrong:
- Bittu 15 m to the south of Anu reverses the correct north south relationship. - Bittu 95 m to the north or 95 m to the south greatly overstates the separation and does not match the coordinate difference. - Bittu at the same position as Anu is impossible because their y coordinates differ significantly.

Common Pitfalls:
Students often forget that both paths share the same westward shift of 15 m, which cancels when comparing relative position and leaves only a vertical difference. Confusing relative direction with direction from the starting point is another common problem. Always calculate final coordinates for each person and then compare them to obtain relative position.

Final Answer:
Bittu is 15 m to the north of Anu.