While discussing Pam's ancestry, Rick quizzes Pam while pointing towards a…

Concept: In family-relation puzzles, a definite phrase like "the only daughter of X" pins down exactly one person. If the puzzle also tells you that the listener herself qualifies as a daughter of that same X, the definite phrase and the listener must be the same individual — so any relationship stated about that unique person applies directly to the listener.

1. "Your father" in Rick's statement refers to Pam's own father.

2. "The only daughter of your father" describes the one and only daughter that Pam's father has.

3. Pam herself is a daughter of her father, and the statement asserts there is exactly one such daughter — so that daughter must be Pam.

4. The statement says "His mother is [that daughter]"; substituting Pam for "that daughter" gives: the man's mother is Pam.

5. Therefore Pam is the man's mother.

Cross-check: Reading the substitution back the other way confirms it — if Pam is the man's mother, then Pam is indeed the only daughter of her own father in relation to that mother clause, and the statement holds together with no other person needed to complete it.

Contrasting the other options:

• Aunt would require Pam to be a sibling of the man's mother rather than the person the statement directly names — the statement gives only one qualifying daughter, leaving no room for a separate sibling relationship.

• Daughter would reverse the direction of the relationship, making the man an ancestor of Pam instead of the other way round — the statement's clause "the only daughter of your father" identifies Pam's father's daughter (Pam) as the man's mother, not as the man's own child, so this reading doesn't fit.

• None of these does not apply here because the wording pins down one specific, determinable relationship among the listed choices.