Data Sufficiency

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.


Vishu

My approach

let n be the number of employees

A)n+3 >= 20

n>=23
Insuff

B) n-3<15
n<18

I choose E !! but OA is C

Comments??

Vishu

OOPSS ! holy mother of god !

I found out the mistake



I keep the post open ,no harm right

vishu

Statement I

n+3 >= 20

n >= 17

Statement II
n-3<15
n < 18

Combining I & II

17 =< n < 18

therefore, n = 17

Hence C.

You messed up the inequality sign for statement II otherwise everything was fine.

Hope this helps.

Yep, doing my calculus in a hurry is one of the things that hurts me most too...

So... n?

(1) n+3>=20

So n>=17 INSUFF

(2) n-3<15

So n<18 INSUFF

(1)+(2) 17=<n<18. SUFF (assuming employees are integer xD)

Answer C

See Image below.

vishubn 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.

If anyone is watching this thread then the appropriate inferences from statements

If Present employees = X
Statement 1) X+3>or= 20 i.e. X >or=20-3 i.e. X >or= 17NOT SUFFICIENT

Statement 1) X-3<15 i.e. X <15+3 i.e. X < 18 NOT SUFFICIENT

Combining the two statements

X >or=17 Also X < 18
i.e. X = 17

Answer: Option C