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In an office, 40 percent of the workers have at least 5

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Manager
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In an office, 40 percent of the workers have at least 5 [#permalink] New post 05 Jun 2007, 00:18
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In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48
(B) 64
(C) 50
(D) 144
(E) 160
CEO
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 [#permalink] New post 05 Jun 2007, 00:52
90 % of staff have less than 10 years experience. This implies that
the 16 staff with over 10 years , make up 10% of the total staff.

Total staff = 16 * 100/10 = 160

Out of these 40 % have at least 5 years
At least 5 years = 40 / 100 * 160 = 64

Now obviously the staff who have done between 5 and 10 years = at least 5 years - at least 10 years
64 - 16 = 48

The answer is A
Director
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Re: PS [#permalink] New post 05 Jun 2007, 00:58
forgmat wrote:
In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48
(B) 64
(C) 50
(D) 144
(E) 160
I get A.
Quote:
90 percent of the workers have fewer than 10 years of service
means 10% have 10+yrs. 16 = 10%, therefore total workforce = 160. 40% have at least 5 yrs of service, .4(160)=64. 64 -16 = 48
Senior Manager
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 [#permalink] New post 05 Jun 2007, 01:44
A is the best answer.

In an office, 40 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. If 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?

(A) 48
(B) 64
(C) 50
(D) 144
(E) 160

90% of the workers have fewer than 10 years of service. Which means that 10% have more than 10 years of service. And the total number of people with atleast 10 or more years of service = 16. Therefore total number of workers is 160.

40% of (the total number of workers) 160 = 64 have atleast 5 years of experience. Which means that they have 5, 6, 7, 8, 9 and greater years of experience. But since we are asked between 5 and 10 years of experience, we have to subtract 64-16 = 48 workers between 5 and 10 years
Senior Manager
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 [#permalink] New post 07 Jun 2007, 13:30
A for me too

Got this with the following 3 steps

1. 10/100 x = 16
x = 160

2. 40/100 * 160 = 64

3. 64 - 16 = 48
Manager
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 [#permalink] New post 07 Jun 2007, 13:54
A for me too using the exact same steps as nupurgupt.
  [#permalink] 07 Jun 2007, 13:54
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