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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 × B’ means ‘A is the sister of B’, and ‘A ÷ B’ means ‘A is the husband of B’. How is H related to E if ‘A − B ÷ H + C × D + E’?
Mother’s mother
Mother’s sister
Mother
Daughter
Mother’s mother
Break the expression into individual pairs: (A-B), (B/H), (H+C), (C*D), (D+E). Trace generation downwards from H to E.
Break the expression into individual pairs: (A-B), (B/H), (H+C), (C*D), (D+E). Trace generation downwards from H to E.
Analyze the expression A - B ÷ H + C × D + E
Break down the relations: A-B (A is brother of B), B÷H (B is husband of H), H+C (H is mother of C), C×D (C is sister of D), D+E (D is mother of E).
Establish the family tree
B is husband of H, so H is the mother of C. Since C is the sister of D, H is also the mother of D. Since D is the mother of E, H is the mother of D, and D is the mother of E.
Determine relationship of H to E
H is the mother of D, and D is the mother of E. Therefore, H is the mother of the mother of E, which means H is the grandmother (mother's mother) of E.
B is wrong because H is two generations above E, not a sister. C is wrong because H is the mother of E's mother, not E's mother. D is wrong because E is the grandchild, not the child of H.
A is correct because by tracing the relations, H is the mother of C and D, and D is the mother of E, making H the maternal grandmother (mother's mother) of E.
In coded blood relations, always define the gender of the subject first to eliminate wrong gender-based options, then track the generation gap.
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