The correct answer is option (A):
statement (1) alone is sufficient to answer the question
Here's the breakdown of why the answer is "statement (1) alone is sufficient to answer the question":
The question asks for the relationship between P and R.
Let's analyze each statement:
Statement 1: U and T have two children R and S. Q is the spouse of R and P is the uncle of S.
* This statement provides enough information to determine the relationship between P and R. Since P is the uncle of S, and S's parent is R, it can be logically deduced that P is the brother of R's spouse (Q is the spouse of R). Because Q and R are married, and P is the uncle of their child.
* The relationship is that P is a brother-in-law to R.
Statement 2: R and Q have a daughter S. S is married to U, who is the son of P and T
* This statement does not directly reveal the relationship between P and R. While it explains that R and Q are parents of S and S is married to U, and U has parents P and T. We don't know the connection between R and P.
* This statement is not sufficient to answer the question alone.
Therefore, only statement 1 is needed to determine the relationship between P and R.