Data Sufficiency

swerve wrote: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.

The OA is C

Source: GMAT Prep

Say currently the company has x employees. We have to determine the value of x.

Let's take each statement one by one.

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 ≥ 20
x ≥ 17.

No unique value of x. Insufficient.

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

No unique value of x. Insufficient.

(1) and (2) together

From (1) x ≥ 17 and (2) x < 18, we have 18 > x ≥ 17; thus, x = 17. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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