Each of the questions given below consists of a statement and/or a question…

2024

Each of the questions given below consists of a statement and/or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the given question.

Read both the statements and Give answer

How is A related to B?

Statement I.

B is the brother of A

Statement II.

C is the wife of A

  1. A.

    if the data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.

  2. B.

    if the data in Statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.

  3. C.

    if the data in each Statement I and Statement II alone is sufficient to answer the question.

  4. D.

    if the data in both Statements I and II together are necessary to answer the question.

Show answer & explanation

Correct answer: D

Concept: In a family-relation data-sufficiency question, a statement is sufficient only when it fixes every unknown the question needs — normally the gender of each named person plus the link between them. A sibling term (brother/sister) fixes the gender of the person it describes but not of the person it is linked to; a spouse term (husband/wife) fixes the gender of the person who has that spouse but adds no new link to a third person.

Application: Statement I says B is the brother of A — this fixes B as male and tells us B is A's sibling, but A's own gender stays unknown, so we cannot yet say whether A is B's brother or sister. Statement II says C is the wife of A — this fixes A as male, but it says nothing at all about B. Combining the two: A is male (Statement II) and A is B's sibling (Statement I), so A must be B's brother.

Contrast:

  • Statement I alone is sufficient, Statement II is not: fails — Statement I alone leaves A's gender open, so the exact relation to B is not fixed.

  • Statement II alone is sufficient, Statement I is not: fails — Statement II alone fixes only A's gender and says nothing that links A to B.

  • Each statement alone is sufficient: fails — by the same two gaps above, neither statement is adequate by itself.

  • Both statements together are necessary: holds — only the combination closes both gaps (A's gender and the sibling link), fixing the relation uniquely.

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