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# 3/4 of the employees at a global company are female. If all

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Joined: 11 May 2008
Posts: 551
3/4 of the employees at a global company are female. If all  [#permalink]

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29 Jul 2008, 11:14
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3/4 of the employees at a global company are female. If all the employees are from American, Canadian, or Mexican, what percent of the male employees are Canadian?
(1) 4/5 of the female are American or Mexican.
(2) 1/3 of all the employees are Canadian.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Manager
Joined: 27 Mar 2008
Posts: 75

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29 Jul 2008, 11:30
arjtryarjtry wrote:
3/4 of the employees at a global company are female. If all the employees are from American, Canadian, or Mexican, what percent of the male employees are Canadian?
(1) 4/5 of the female are American or Mexican.
(2) 1/3 of all the employees are Canadian.

(1) insuff- gives us total # of females, # of Canadian fem, but nothing about total Can employees. Cannot determine # of males w/o total # of Can
(2) insuff- cannot determine Can fem. because it does not provide any more detail on % breakdown by sex

C-- (2) was the missing piece to making (1) work. Combine both and provides sufficiency.
SVP
Joined: 30 Apr 2008
Posts: 1841
Location: Oklahoma City
Schools: Hard Knocks

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29 Jul 2008, 11:34
I think it's C.

We know from #1 that 1/5 of the female employees are Canadian. And from the stem we know that 1/4 of all employees are male (1 - 3/4 that are women). From #2 we know that 1/3 of all employees are Canadian. So if 1/3 of all employees are canadian, and 1/5 of the 3/4 of the company that are females are Candian, then we know that 3/20 of the entire cmpany is made up of Canadian women. If 1/3 of all employees are Canadian, and 3/20 of all employees are candian women, then it stands that 1/3 (20/60) - 3/20 ( 9/60) = Canadian Male employees, or 11/60ths, or about 18%.

arjtryarjtry wrote:
3/4 of the employees at a global company are female. If all the employees are from American, Canadian, or Mexican, what percent of the male employees are Canadian?
(1) 4/5 of the female are American or Mexican.
(2) 1/3 of all the employees are Canadian.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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SVP
Joined: 07 Nov 2007
Posts: 1728
Location: New York

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29 Jul 2008, 11:50
1
arjtryarjtry wrote:
3/4 of the employees at a global company are female. If all the employees are from American, Canadian, or Mexican, what percent of the male employees are Canadian?
(1) 4/5 of the female are American or Mexican.
(2) 1/3 of all the employees are Canadian.
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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