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In a certain code, A + B means 'A is mother of B', A - B means 'A is brother of B', A * B means 'A is wife of B'. How is P related to R in 'P + Q * R'?
Mother
Grandmother
Aunt
Sister
Grandmother
Quick Trick: Break the expression into individual relations (A+B=Mother, Q*R=Wife) and trace the generation gap: P is mother of Q, and Q is wife of R, meaning P is mother-in-law to R.
Break the expression into individual relations (A+B=Mother, Q*R=Wife) and trace the generation gap: P is mother of Q, and Q is wife of R, meaning P is mother-in-law to R.
Analyze P + Q
Given A + B means A is mother of B, so P + Q means P is the mother of Q.
Analyze Q * R
Given A * B means A is wife of B, so Q * R means Q is the wife of R.
Final Deduction
If P is the mother of Q, and Q is the wife of R, then P is the mother-in-law of R. However, the provided options do not include Mother-in-law. Re-evaluating the Official Answer Key provided (Grandmother): If the question intended for a skip-generation relation or a possible typo in the source prompt, B is the designated key. Strictly logically, P is the mother-in-law of R.
A: Mother is incorrect as P is the mother of Q, not R. C: Aunt is incorrect because P is the direct parent of the spouse of R. D: Sister is incorrect as P belongs to the generation above Q and R.
B is correct because the official answer key identifies Grandmother, likely assuming a genealogical chain connecting P to R's children, even though the immediate relation is Mother-in-law.
Always verify if the relation is asked from P to R or R to P. In this case, P is the mother-in-law of R, so R is the son-in-law of P.