H is the brother of A. R is the sister of K. P is the son of K. K is the wife of A. How is P related to H?

The correct option is Brother's son.

To find the relationship between P and H, let us break down the family relationships step-by-step:
1. H is the brother of A: This means H and A are siblings, and H is male.
2. K is the wife of A: Since K is the wife of A, A must be the husband (male). Thus, K and A are a married couple (K is female, A is male).
3. H and A's relationship with K: Since H is A's brother, H is the brother-in-law of A's wife, K.
4. P is the son of K: Since K is married to A, K's son P is also the son of A. Therefore, P is the son of A.
5. How is P related to H? Since A is the brother of H, A's son (P) is the brother's son (nephew) of H.

Therefore, P is H's brother's son.