Gurpreet is initially facing towards the south. She turns right and walks 35 m, then turns right again and walks 40 m and finally turns left and walks 30 m. In which direction is she facing now?

Introduction / Context:
Unlike previous questions that ask for distance from the starting point, this problem focuses only on the final facing direction of Gurpreet after a sequence of right and left turns. It is a pure orientation question that checks understanding of how directions change when someone initially faces a given direction and then turns right or left by ninety degrees.

Given Data / Assumptions:
- Gurpreet starts by facing south. - She turns right and walks 35 m. - She then turns right again and walks 40 m. - She finally turns left and walks 30 m. - Each turn is assumed to be exactly 90 degrees.

Concept / Approach:
The key idea is to track facing direction rather than coordinates. A right turn shifts the facing direction clockwise by 90 degrees, while a left turn shifts it anticlockwise by 90 degrees. Since distance does not affect the direction someone faces, we only need to follow the sequence of turns from the initial orientation. This approach avoids unnecessary coordinate calculations.

Step-by-Step Solution:
1. Initial orientation: facing south. 2. First move: she turns right from south. A right turn from south points west. 3. She walks 35 m, but distance does not change the direction she faces, which remains west. 4. Second move: from facing west, she turns right again. A right turn from west points north. 5. She walks 40 m, still facing north at the end of that leg. 6. Third move: from facing north, she turns left. A left turn from north points west. 7. She walks 30 m, and at the end of this movement she is facing west.

Verification / Alternative check:
We can summarize the turns numerically. Starting from south, a right turn moves us clockwise to west, a second right turn moves us from west to north, and a left turn moves us anticlockwise from north back to west. Ignoring distances, the net effect of the sequence (right, right, left) from south leaves us facing west. A quick diagram of a compass and arrows for each turn confirms this logic.

Why Other Options Are Wrong:
- South would require a complete loop or a different combination of turns that bring her back to the original orientation. - East never occurs in this sequence of right and left turns starting from south. - North is the direction after the second turn but before the final left turn, not at the end. - North West suggests a diagonal direction, but all turns are exact right angles leading to cardinal directions only.

Common Pitfalls:
A typical mistake is to imagine facing north initially instead of south or to reverse the meaning of right and left when mentally simulating the turns. Some students also mistakenly think distance influences the facing direction. Concentrating solely on the sequence of right and left turns and using a small sketch of a compass rose helps avoid errors.

Final Answer:
Gurpreet is finally facing west.