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A certain company currently has how many employees?

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

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New post 02 Nov 2012, 20:45
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A certain company currently has how many employees?

(1) If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company
(2) If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company

[Reveal] Spoiler:
• According to statement 1, number of employees can be 17 or 18 or 19 or .......onwards [ means 17 or more than 17 ]

• According to statement 2, number of employees can be 17 or 16 or 15 or .......onwards [ means 17 or less than 17 ]

>> So, I think, by considering both statements, 17 is the only number we can take. So my answer is C. Please correct me if I'm wrong. Thanks.
[Reveal] Spoiler: OA

Last edited by Bunuel on 02 Nov 2012, 23:22, edited 1 time in total.
Renamed the topic, edited the question and added OA.

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

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New post 02 Nov 2012, 22:54
The answer is correct, it should be C.

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

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New post 02 Nov 2012, 22:56
justtapas wrote:
A certain company currently has how many employees?

Statement 1: If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company
Statement 2: If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.


=========================================================================================
• According to statement 1, number of employees can be 17 or 18 or 19 or .......onwards [ means 17 or more than 17 ]

• According to statement 2, number of employees can be 17 or 16 or 15 or .......onwards [ means 17 or less than 17 ]

>> So, I think, by considering both statements, 17 is the only number we can take. So my answer is C. Please correct me if I'm wrong. Thanks.


No flaws with your reasoning. IMO C is the right answer.

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

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New post 02 Nov 2012, 23:25
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A certain company currently has how many employees?

(1) If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company --> \(x+3\geq{20}\) --> \(x\geq{17}\). Not sufficient.

(2) If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company --> \(x-3<15\) --> \(x<18\). Not sufficient.

(1)+(2) x can only be 17. Sufficient.

Answer: C.

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

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New post 25 Sep 2013, 02:47
(1) W >= 17
(2) W<18

therefore (1)+(2) W=17

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

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Re: A certain company currently has how many employees?   [#permalink] 14 Jul 2017, 15:53
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