$P$, $Q$, $R$, $S$, and $T$ are sitting around a circular table facing the center. $R$ is to the immediate right of $P$ and is second to the left of $S$. $T$ is not between $P$ and $S$. Who is second to the left of $R$?

Let us place the 5 people around a circular table facing inward:
1. "$R$ is to the right of $P$ ": If we place $P$ at a base position, $R$ is next to $P$ in the counter-clockwise direction (right).
2. "$R$ is second to the left of $S$ ": This implies that moving clockwise (left) from $S$, the second seat is $R$. Therefore, there is one seat between $S$ and $R$ moving clockwise. This places $S$ two seats to the right (counter-clockwise) of $R$.
3. Looking at the order so far counter-clockwise: $P\to R\to \text{Empty}\to S\to \text{Empty}$.
4. "$T$ is not between $P$ and $S$ ": The seat between $P$ and $S$ is the remaining empty seat. Since $T$ cannot go there, $T$ must sit in the empty seat between $R$ and $S$.
5. The remaining person $Q$ must fill the seat between $P$ and $S$.
The full circular sequence in a counter-clockwise direction is: $P\to R\to T\to S\to Q\to P$.

We need to find who is second to the left (clockwise) of $R$:

* First to the left of $R$ is $P$.
* Second to the left of $R$ is $Q$.