Explanation:

Let's break down the statements step by step:

- U is the son-in-law of P. So, U is married to P’s daughter.

- Q is the brother-in-law of S. This means Q is married to S’s sibling, or Q is S’s spouse’s brother, but S has no siblings.

- S has no siblings and is the only child of R.

- R is married to P.

- T is the niece of Q. So, T must be the daughter of Q’s sibling.

Mapping it out:

- R (married to P) ? only child S.

- S has no siblings, so Q cannot be married to S’s sibling. So, Q must be S’s spouse’s brother (Q and U are likely brothers).

- U is married to S (since U is P’s son-in-law, and P has only one child, S).

- T is Q’s niece, so T is likely the daughter of U and S.

- Therefore, P is T's grandmother or grandfather (since S is the only child, P is the parent of S who is T’s mother).

Options:

1. Maternal Grandfather

2. Maternal Grandmother

3. Father

4. Mother

5. Cannot be determined

Since P’s gender is not specified, we cannot tell if P is the maternal grandmother or grandfather.

? Option 5 (Cannot be determined) is correct.