GA Q4

Consider the relationships among $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$, and $\mathrm{T}$ : $\mathrm{P}$ is the brother of $\mathrm{Q}$. $\mathrm{S}$ is the daughter of $\mathrm{Q}$. $\mathrm{T}$ is the sister of $\mathrm{S}$. $\mathrm{R}$ is the mother of $\mathrm{Q}$. The following statements are made based on the relationships given above. Which one of the following options is correct? Both $(1)$ and $(2)$ are true. Both $(1)$ and $(3)$ are true. Only $(3)$ is true. Only $(4)$ is true.