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# A certain company currently has how many employees?

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
A certain company currently has how many employees?  [#permalink]

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28 Aug 2017, 04:01
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Difficulty:

35% (medium)

Question Stats:

86% (01:20) correct 14% (01:02) wrong based on 42 sessions

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A certain company currently has how many employees?

(1) If 4 additional employees are hired by the company and all of the present employees remain, there will be at least 30 employees in the company.
(2) If no additional employees are hired by the company and 4 of the present employees resign, there will be fewer than 23 employees in the company.

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Re: A certain company currently has how many employees?  [#permalink]

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28 Aug 2017, 04:08
1
Bunuel wrote:
A certain company currently has how many employees?

(1) If 4 additional employees are hired by the company and all of the present employees remain, there will be at least 30 employees in the company.
(2) If no additional employees are hired by the company and 4 of the present employees resign, there will be fewer than 23 employees in the company.

(1) tells us original employees >25
not sufficient

(2) tells us original employees <27
not sufficient

on combining
26
C
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Re: A certain company currently has how many employees?  [#permalink]

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28 Aug 2017, 05:50
Let number of employees in company = x

1) if 4 employee added number will be "atleast" 30

x+4 >= 30 => x>=26

Not Sufficient

2) if 4 employee resign number will be "fewer than" 23

x-4 < 23 => x < 27

Not Sufficient

1+2

x>=26 and x<27

Therefore x=26

Intern
Joined: 23 Aug 2017
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A certain company currently has how many employees?  [#permalink]

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28 Aug 2017, 09:18
Call the number of employee is X.

(1) If 4 additional employees are hired by the company and all of the present employees remain, there will be at least 30 employees in the company.

=> X + 4 >= 30 <=> X >= 26
We can not find X yet.

(2) If no additional employees are hired by the company and 4 of the present employees resign, there will be fewer than 23 employees in the company.

=> X - 4 < 23 <=> X < 27
This alone can not solve the problem. But combine (1) and (2) we have X < 27 and X >= 26, so X must be 26.

A certain company currently has how many employees?   [#permalink] 28 Aug 2017, 09:18
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# A certain company currently has how many employees?

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