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In a certain code language, 'P + Q' means 'P is the daughter of Q', 'P - Q' means 'P is the wife of Q', 'P x Q' means 'P is the son of Q' and 'P ├╖ Q' means 'P is the husband of Q'. How is A related to E if 'A + B - C x D ├╖ E'?
Sister
Daughter's daughter
Daughter
Son's daughter
Son's daughter
Use a family tree flow: decompose the expression from left to right, focusing on gender and generational gaps, skipping the intermediate variables to connect the endpoints.
Use a family tree flow: decompose the expression from left to right, focusing on gender and generational gaps, skipping the intermediate variables to connect the endpoints.
Analyze the expression A + B - C x D / E
Break down the chain: 1) A + B means A is the daughter of B. 2) B - C means B is the wife of C. (So A is the daughter of C). 3) C x D means C is the son of D. 4) D / E means D is the husband of E.
Determine the familial hierarchy
If D is the husband of E, and C is the son of D, then C is also the son of E. Since A is the daughter of C, A is the granddaughter of E.
Identify the relationship
Because C is the son of D and E, A (who is C's daughter) is the son's daughter (granddaughter) of E. Looking at the options, 'Son's daughter' specifically describes A's relation to E.
A: Sister is incorrect as A is in the next generation. B: Daughter's daughter is incorrect as C is male (son of D/E). C: Daughter is incorrect as A is the second generation down from E. D: Son's daughter correctly matches the deduction.
D is correct because following the chain A is the daughter of B, B is the wife of C, C is the son of D, and D is the husband of E, we establish that C is the son of E, making A the son's daughter of E.
Always verify the gender of the middle subjects (C in this case) to distinguish between 'Son's daughter' and 'Daughter's daughter' quickly.
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