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# Each correctional facility in a certain state has the same

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GMAT Instructor
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Each correctional facility in a certain state has the same [#permalink]  22 Aug 2007, 03:38
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Each correctional facility in a certain state has the same number of interns, and each facility has interns of each sex. If Lockwood Correctional Facility has 22% of the female interns in the state , does it have less than 20% of the male interns?

(1) Lockwood has more than 18% of the state's male interns.
(2) Lockwood has more female interns than does any other facility in the state.
Manager
Joined: 14 Jan 2007
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L has 22% of females interns in the state

Q:does it have <20% of state's males ?

1. L has >18% of states male intern
it can be 19% or 21%
so NOT sufficient.

2. not of much help
so NOT sufficient

1&2 not sufficient

is it E?
Senior Manager
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I feel it is B. I found it out only after Kevin's response. I also answered in my first try
Current Student
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Re: DS: Number of Departments [#permalink]  22 Aug 2007, 16:29
kevincan wrote:
Each correctional facility in a certain state has the same number of interns, and each facility has interns of each sex. If Lockwood Correctional Facility has 22% of the female interns in the state , does it have less than 20% of the male interns?

(1) Lockwood has more than 18% of the state's male interns.
(2) Lockwood has more female interns than does any other facility in the state.

Let me see...

suppose state has 100 female interns 100 male interns...and each facility has 40 interns

facility Woman Men
lockw 22 18 <---suppose its 18 then...
y 21 19
x 21 19
w 21 19
z 15 25 <-- then all the numbers add up, if lockwood has more than 18 the number on mens colum exceeds 100..

total 100 100

1) statement 1 doesnt mean much...

so statement 2) basically tell us that lockwood has the highest number of female interns..which is sufficient, cause then we can build out the colum i just did..

B it is..
VP
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Re: DS: Number of Departments [#permalink]  22 Aug 2007, 16:57
kevincan wrote:
Each correctional facility in a certain state has the same number of interns, and each facility has interns of each sex. If Lockwood Correctional Facility has 22% of the female interns in the state , does it have less than 20% of the male interns?

(1) Lockwood has more than 18% of the state's male interns.
(2) Lockwood has more female interns than does any other facility in the state.

This one is strange. Basically, I got C is you assume that the percentage is a "whole" number. Otherwise, I get E.
Manager
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E it is...

Q:
Faculty 1) X members 22% FemaleState. MaleState is less then 20%?
Faculty 2) X members
I. Ins. We know only that MaleState is more then 18%
II. Ins: No information about male at all

Together: Ins: - not enough information about male
Intern
Joined: 06 Aug 2007
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kevincan wrote:
It's not E

yep it's B, there have to be a minimum of 5 facilities, so the one with maximum % of females will have less than 20% of males.
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