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Solutions
People: P, Q, R, S, T, U, V, and W.
1). U sits fourth to the right of Q.
2). Q and U are not sitting at the extreme end of the line.
3). Q and U face the opposite direction to each other.
On Combining these 3 statements, we get 4 possible cases.
Case I: When Q is facing North and sitting 2nd from the extreme end, so U will face South.
Case II: When Q is facing North and sitting 3rd from the extreme end, so U will face South.
Case III: When Q is facing South and sitting 3rd from the extreme end, so U will face North.
Case IV: When Q is facing South and sitting 2nd from the extreme end, so U will face North.

4). V sits third to the right of Q.
By this statement, U and V will be immediate neighbor to each other.

5). P sits second to the left of U.
From this statement, our Case II and Case III will be eliminated, as there will be no place for the sitting of P.

6). Only three people sit between P and R.
7). Both the immediate neighbor of V faces the same direction.
From this 2 statement, we know that in Case I, R and U will face South direction and in Case IV, R and U will face North direction.

8). W is not an immediate neighbor of Q.
9). W faces north direction.
10). Only one of the immediate neighbors of W faces north direction.
On combining these three sentences, we get that:
In Case I: W will be immediate neighbor of U and P, and P will face in North direction as U is already facing in South direction.
In Case IV: W will be immediate neighbor of U and P, and P will face in South direction as U is already facing in North direction.

11). V sits second to the left of T.
12). People sitting at the extreme ends face the same direction.
On Combining these two statements, we get:
Case I: T will be immediate neighbor of Q and R and T will face in South direction.
Case IV: T will be immediate neighbor of Q and R and T will face in North direction.

13). R faces south directions.
From this statement, our case IV get eliminated.
14). The immediate neighbor of P faces the same directions as V.
This implies V faces north direction as P neighbor's W face north direction.

Since S is left, thus it occupies the left position and will face in North direction, because people sitting in Extreme ends are facing in same direction.
The final arrangement:

Now, R is sitting second to the right of U.
And R is facing south direction, so T is in immediate right position from R.
Hence, T is at immediate right position.