Let's break down the seating arrangement based on the clues:
1. S is not a neighbor of R and T: This means S cannot sit next to R or T.
2. P is the neighbor of Q and R: P sits next to both Q and R.
3. V, who is second to the left of S, is the neighbor of T and U: V’s position is defined in relation to S, and V is also sitting next to both T and U.
Now, let’s analyze the options:
Option (A): "R is to the immediate right of P" \(\Rightarrow\) This is true. Based on the seating arrangement, R is immediately to the right of P.
Option (B): "U is between T and S" \(\Rightarrow\) This is false. Based on the seating arrangement, U is not sitting between T and S. U is sitting next to T but not between T and S.
Option (C): "S is between Q and U" \(\Rightarrow\) This is true. Based on the seating arrangement, S is indeed sitting between Q and U.
Option (D): "Q is third left of T" \(\Rightarrow\) This is true. Q is seated third to the left of T based on the seating arrangement.
Thus, the statement that is not true is (B) U is between T and S.