Photograph puzzle: Pointing to a photograph, a man said, “I have no brother or sister, but that man’s father is my father’s son.” Whose photograph is it?
Correct Answer: His son's
Introduction / Context:This is a standard kinship riddle that hinges on the clause “my father’s son,” combined with “I have no brother or sister.” We must identify the person in the photograph.
Given Data / Assumptions:
- The speaker has no siblings.
- “That man’s father is my father’s son.”
- All terms are used in their usual, literal senses.
Concept / Approach:With no siblings, “my father’s son” can only be the speaker himself. Therefore, “that man’s father is me.” Hence “that man” is the speaker’s son; the photograph is of his son.
Step-by-Step Solution:1) Substitute: my father’s son = me (no siblings).2) Then: that man’s father = me → that man is my son.3) Photograph therefore shows the speaker’s son.
Verification / Alternative check:If the speaker had a brother, “my father’s son” would be ambiguous (me or my brother). The explicit “no brother or sister” removes ambiguity.
Why Other Options Are Wrong:
- His own / His father’s / His nephew’s: None matches the derived identity “my son.”
- None of these: Not needed; “His son’s” fits exactly.
Common Pitfalls:Treating “my father’s son” as someone other than the speaker despite the “no siblings” constraint.
Final Answer:His son's