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Question: How is P related to Q? Statement I: P is the son of Q's mother. Statement II: Q is the only daughter of P's father. Which statement(s) is/are sufficient to answer the question?

Competition practiceData Sufficiency
  • AStatement II alone is sufficient but Statement I alone is not
  • BStatement I alone is sufficient but Statement II alone is not
  • CBoth statements together are needed (neither alone is sufficient)
  • DEither statement alone is sufficient

Step-by-Step Solution

Statement I says P is a son (male) of Q's mother, so P is Q's brother — sufficient. Statement II establishes P and Q share a father and Q is female, so P is Q's sibling, but P's gender is unknown, so the exact relation (brother/sister) is undetermined — not sufficient.
Answer: B) Statement I alone is sufficient but Statement II alone is not

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