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In a certain code language, A + B means 'A is the mother of B', A - B means 'A is the brother of B', A ├Ч B means 'A is the wife of B' and A ├╖ B means 'A is the father of B'. Based on the above, how is Q related to T if 'P ├Ч Q ├╖ R - S + T'?
Mother's Father
Mother's brother
Brother
Husband
Mother's Father
Break the expression from left to right, translating each operator into the corresponding family relationship. P ├Ч Q means P is wife of Q, Q ├╖ R means Q is father of R, R - S means R is brother of S, and S + T means S is mother of T.
Break the expression from left to right, translating each operator into the corresponding family relationship. P ├Ч Q means P is wife of Q, Q ├╖ R means Q is father of R, R - S means R is brother of S, and S + T means S is mother of T.
Step 1: P ├Ч Q
P ├Ч Q means 'P is the wife of Q'. Therefore, Q is the husband of P and both are parents.
Step 2: Q ├╖ R
Q ├╖ R means 'Q is the father of R'. Thus, R is the child of P and Q.
Step 3: R - S + T
R - S means 'R is the brother of S'. S + T means 'S is the mother of T'. Since R and S are siblings, R is the uncle of T, and Q (father of R) is the grandfather of T. Wait, let's re-verify: Q is father of R, R is brother of S, so Q is father of S. S is mother of T, so Q is the maternal grandfather of T. But let's check the options: Mother's Father, Mother's brother, Brother, Husband.
B: Mother's brother is incorrect because Q is the parent's father, not brother. C: Brother is incorrect since Q belongs to the older generation. D: Husband is incorrect as Q is the grandfather of T.
A is correct because decoding P x Q ├╖ R - S + T establishes that Q is the father of R and S, and S is the mother of T, making Q the mother's father (grandfather) of T, which matches Option A.
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