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Data Sufficiency - January 10, 2005

Directions
This data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
D. EACH statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Question
How is Bill related to Betty?

(1) Cindy, the wife of Bill's only brother Chris does not have any siblings.
(2) Betty is Cindy's brother in law's wife.

The correct choice is (C). The correct answer is (Both statements are required to answer the given question)

Explanatory Answer
From statement 1, we know that Cindy has no siblings and she is the wife of Bill's only brother Chris. However, this statement does not provide any information about Betty and is hence not sufficient to answer the question.

So, choice A and D are eliminated.

From statement 2, we know that Betty is Cindy's brother in law's wife. This statement establishes a relation between Cindy and Betty. This does not answer the question of how Bill is related to either Cindy or Betty. Hence, statement 2 alone is not sufficient to answer the question.

Now, if we combine the two statements, we know that Bill and Cindy are related to each other through Chris, who is the only brother of Bill and that Cindy is Betty's brother in law's wife.

Cindy does not have any siblings and hence her brother in law has to necessarily be her husband's sibling. As Chris is the only brother of Bill, Cindy's brother in law has to be Bill and Betty is his wife.

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