A certain company currently has how many employees? (1) If 5 addition

Question

A certain company currently has how many employees?

(1) If 5 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 5 of the present employees resign, there will be fewer than 13 employees in the company.

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ManifestDreamMBA · Answer

Let number of employees be n Statement 1 n+5 >= 20 n>=15 We don't know if n is 15, 20 or 100, etc Insufficient Statement 2 n-5<13 n<18 We don't know if n is 17, 12, 10, etc. Insufficient Combined 15<=n<18 n could be 15, 16 or 17. Insufficient Answer E

Missinga · Answer

Let, the number of current employees= a

(1) If 5 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company.
a+5>=20
a>=15
Insufficient (as the number of employees can be any number above 14)

(2) If no additional employees are hired by the company and 5 of the present employees resign, there will be fewer than 13 employees in the company.
a-5<13
a<18
Insufficient (a can be any number less than 18)

Taking (1)&(2) together,
15<=a<18
a can be 16,17,18
Insufficient

Answer: E

NextstopISB · Answer

This is a Data Sufficiency question. Let's analyze both statements separately and together to determine whether we can find the exact number of employees in the company.

Let the number of employees in the company be E.

---

Statement (1): 
"If 5 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company."

Mathematically, this means: 
E + 5 ≥ 20 
E ≥ 15

This tells us that the number of employees is at least 15, but it does not give an exact value for E. So, this statement alone is insufficient.

---

Statement (2): 
"If no additional employees are hired by the company and 5 of the present employees resign, there will be fewer than 13 employees in the company."

Mathematically, this means: 
E - 5 < 13 
E < 18

This tells us that the number of employees is less than 18, but it does not give an exact value for E. So, this statement alone is insufficient.

---

Combining Both Statements: 
From Statement (1): 
E ≥ 15 
From Statement (2): 
E < 18

Combining both inequalities: 
15 ≤ E < 18

So, E can be 15, 16, or 17. Since we do not have a unique value for E, the information is still insufficient.

---

Final Answer: 
(E) The statements together are still insufficient.

A certain company currently has how many employees? (1) If 5 addition

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GMAT Data Sufficiency (DS) Questions

A certain company currently has how many employees? (1) If 5 addition

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