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In a certain code language, ‘M × N’ means ‘M is the daughter of N’, ‘M + N’ means ‘M is the father of N’, ‘M % N’ means ‘M is the mother of N’, and ‘M − N’ means ‘M is the brother of N’. How is P related to K if ‘P % Q + R − T × K’?
Son’s wife
Husband’s mother
Mother’s sister
Brother’s wife
Husband’s mother
Break the expression into segments from left to right: P is mother of Q, Q is father of R, R is brother of T, T is daughter of K.
Break the expression into segments from left to right: P is mother of Q, Q is father of R, R is brother of T, T is daughter of K.
Analyze P % Q and Q + R
P % Q means P is the mother of Q. Q + R means Q is the father of R. Combining these, P is the grandmother of R.
Analyze R - T and T × K
R - T means R is the brother of T. Since Q is the father of R, Q is also the father of T. T × K means T is the daughter of K.
Final Synthesis
Q (father) and K (mother, as T is daughter of K) are parents of R and T. Since P is the mother of Q, P is the mother of the father (Q) of T and K's children.
A: Son's wife is incorrect because P is the mother of the father (Q), not a daughter-in-law. C: Mother's sister is incorrect as the relation traces through the father's line. D: Brother's wife is incorrect as the hierarchy is clearly generational.
B is correct because P is the mother of Q, and Q is the husband of K (parents of T), making P the husband's mother (mother-in-law) of K.
In blood relation expressions, always identify the gender of the subject first to eliminate gender-mismatched options quickly.
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