A rat runs $20^{\prime }$ towards East and turns to right, runs $10^{\prime }$ and turns to right, runs $9^{\prime }$ and again turns to left, runs $5^{\prime }$ and then turns to left, runs $12^{\prime }$ and finally turns to left and runs $6^{\prime }$. Now which direction is the rat facing?

Let's trace the face orientation shifts sequentially without tracking coordinate values since the prompt only queries the final facing direction:
1. Starts moving towards East.
2. Turns right $\to$ Now facing South.
3. Turns right $\to$ Now facing West.
4. Turns left $\to$ Now facing South.
5. Turns left $\to$ Now facing East.
6. Turns left $\to$ Now facing North.

Therefore, the rat is facing North at the end of its path.