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In a certain code language, ‘A + B’ means ‘A is the husband of B’, ‘A − B’ means ‘A is the wife of B’, ‘A × B’ means ‘A is the father of B’, and ‘A ÷ B’ means ‘A is the sister of B’. How is P related to T if ‘P − Q × R ÷ S + T’?
Husband’s mother
Brother’s wife
Son’s wife
Father’s mother
Husband’s mother
Break the expression into individual pairs: P-Q (Wife), Q*R (Father), R/S (Sister), S+T (Husband); then trace the lineage from the bottom up.
Break the expression into individual pairs: P-Q (Wife), Q*R (Father), R/S (Sister), S+T (Husband); then trace the lineage from the bottom up.
Analyze P-Q (Wife)
P-Q means P is the wife of Q. So, P is female and Q is male.
Analyze Q*R (Father) and R/S (Sister)
Q*R means Q is the father of R. R/S means R is the sister of S. This establishes that P is the mother of R and S.
Analyze S+T (Husband) and conclude
S+T means S is the husband of T. Since P is the mother of S, and S is married to T, P is the mother-in-law of T (the husband's mother).
B: Brother's wife is the sister-in-law, not the mother-in-law. C: Son's wife is the daughter-in-law, which is the relation of T to P, not P to T. D: Father's mother is the grandmother, which does not match the P-S parent-child hierarchy.
A is correct because P is the mother of S, and since S is the husband of T, P is the mother of T's husband.
In coded blood relations, always determine the gender of the subject first to eliminate at least two options immediately using the given gender-specific codes.
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