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In a certain code language, ‘A + B’ means ‘A is the father of B’, ‘A − B’ means ‘A is the mother of B’, ‘A × B’ means ‘A is the wife of B’, and ‘A ÷ B’ means ‘A is the brother of B’. How is P related to T if ‘P ÷ Q − R × S + T’?
Mother’s brother
Daughter’s husband
Mother’s mother’s brother
Sister’s husband
Mother’s mother’s brother
Break the expression into individual relations and trace the lineage upwards from the end (T) to the subject (P).
Break the expression into individual relations and trace the lineage upwards from the end (T) to the subject (P).
Analyze the expression P ÷ Q − R × S + T
P ÷ Q means P is the brother of Q. Q − R means Q is the mother of R. R × S means R is the wife of S. S + T means S is the father of T.
Establish the genealogy
Since S is the father of T and R is the wife of S, R is the mother of T. Since Q is the mother of R, Q is the grandmother (maternal) of T. P is the brother of Q.
Determine the relation
P is the brother of Q, and Q is the mother of R (who is the mother of T). Thus, P is the brother of T's mother's mother, which identifies P as the mother's mother's brother.
A: Mother's brother is incorrect as P is the maternal uncle of the mother, not the mother herself. B: Daughter's husband is incorrect because the male in the relationship is S, not P. D: Sister's husband is incorrect as that would imply a direct marital link which does not exist for P in this chain.
C is correct because P is the brother of Q, who is the maternal grandmother of T, making P the maternal grandfather's brother-in-law or specifically the mother's mother's brother.
In coded blood relations, always determine the gender of the subject first to eliminate options that contradict the gender, then draw the generation tree.
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