To answer this question, we need to understand the conditions required for R to be the brother-in-law of K. For R to be the brother-in-law of K, two things must be true:
- K must be married to R's sister or K's sibling (since "brother-in-law" implies that R is the brother of K's spouse).
- R must be male.
Based on the given symbols in the previous questions:
- \( 1 \) means "K is the husband of R's sister" (so, K and R's sibling are married).
- \( 3 \) means "R is the brother of K's spouse" (so, R is K's brother-in-law).
Therefore, for R to be the brother-in-law of K, the statements that must be true are statements 1 and 3.
Final Answer:
\[
\boxed{1 \, \text{AND} \, 3}
\]