John and Mary own shares of stock in a certain company. Does

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John and Mary own shares of stock in a certain company. Does [#permalink]

23 Feb 2012, 08:14

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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

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Re: John and Mary own shares of stock in a certain company. Does [#permalink]

23 Feb 2012, 09:08

John and Mary own shares of stock in a certain company. Does John own more shares of the company's stock than Mary?

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) 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 --> 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.

Answer: C.

Hope it's clear.
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Re: John and Mary own shares of stock in a certain company. Does [#permalink] 23 Feb 2012, 09:08

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John and Mary own shares of stock in a certain company. Does

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John and Mary own shares of stock in a certain company. Does

John and Mary own shares of stock in a certain company. Does

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