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In a certain code language, ‘A + B’ means ‘A is the brother 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 father of B’. How is S related to M if ‘N × S ÷ A + R − M’?
Father’s mother
Mother’s father
Brother’s daughter
Father
Mother’s father
Break down the expression from left to right, drawing a simple family tree: Wife (x), Father (/), Brother (+), Mother (-). Identify the generation gap between S and M.
Break down the expression from left to right, drawing a simple family tree: Wife (x), Father (/), Brother (+), Mother (-). Identify the generation gap between S and M.
Analyze N x S
N x S means N is the wife of S. So, S is the husband of N (S is male).
Analyze S / A
S / A means S is the father of A.
Analyze A + R
A + R means A is the brother of R.
Analyze R - M
R - M means R is the mother of M. Since A is the brother of R, A is the maternal uncle of M. Since S is the father of A and R, S is the father of R. Therefore, S is the father of M's mother, which makes S the maternal grandfather of M.
A: Father’s mother is the paternal grandmother, whereas S is the maternal grandfather. C: Brother’s daughter is the niece, not the relationship to S. D: Father is the parent of M, but S is the parent of M's mother.
B is correct because the breakdown identifies S as the father of R (M's mother), thus making S the maternal grandfather (mother's father) of M.
When solving coded relations, always determine the gender of the subject first to eliminate options that contradict gender roles (e.g., if S is a father, he cannot be a mother).
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