Data sufficiency — How is P related to J? Statements: A. M is the brother of P and T is the sister of P. B. P's mother is married to J's husband, who has one son and two daughters. Identify which statements suffice to determine P's relation to J.
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AA alone is sufficient
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BB alone is sufficient
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CEither A alone or B alone is sufficient
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DBoth A and B are not sufficient
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EA and B together are sufficient
Answer
Correct Answer: B alone is sufficient
Explanation
Introduction / Context:We are to fix the relationship of P to J using minimal information. As a data-sufficiency item, we focus on whether the statements force a unique relation without overbuilding the tree.
Given Data / Assumptions:
- A: M is P’s brother; T is P’s sister (sibling set info; no mention of J).
- B: P’s mother is married to J’s husband, who has one son and two daughters.
Concept / Approach:If “P’s mother is married to J’s husband” under standard monogamous interpretation, the only coherent reading is that J is P’s mother (J’s husband is P’s father, married to P’s mother). Thus P is the child of J.
Step-by-Step Solution:
1) From B: J’s husband and P’s mother are a married pair, which identifies J as P’s mother.2) Therefore, P is related to J as child (gender of P not required).3) From A: Only sibling composition is known; no link to J, hence insufficient by itself.Verification / Alternative check:Any attempt to interpret B otherwise leads to polygamy or contradiction. The cleanest, standard reading is J = P’s mother.
Why Other Options Are Wrong:
- A alone: No J mentioned; cannot conclude.
- Either A or B: False, because A fails.
- Both not sufficient: False, B alone suffices.
- A and B together: Redundant; B already suffices.
Common Pitfalls:Overcomplicating the phrase “P’s mother is married to J’s husband”; the intended inference is straightforward in standard family-logic settings.
Final Answer:B alone is sufficient (P is J’s child).