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题库 / Prep2007E1-DS-42
John and Mary own shares of stock in a certain company. Does John own more shares of the company's stock than Mary?
(1) Mary owns more than 500 shares of the company's stock.
(2) The number of shares of the company's stock that John owns is 400 less than twice the number of shares of the company's stock that Mary owns.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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Question: is J>M?
(1) Mary owns more than 500 shares of the company's stock --> M>500. Clearly insufficient, since no info about J.
(2) --> J=2M-400 --> substitute J in the question --> question becomes: "is 2M-400>M?" --> "is M>400?" We don't know that. Not sufficient.
(1)+(2) From (2) the question became "is M>400?" and (1) says that M>500, thus the answer to the question is YES. Sufficient.
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