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# A certain company currently has how many employees?

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Re: A certain company currently has how many employees? [#permalink]
Imo E
From 1 we have x+5>20 not sufficient .
From 2 we have x-5<13 not sufficient .
Taken together we have x<18
so x can take values of 17,16,15 so not sufficient .
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Re: A certain company currently has how many employees? [#permalink]
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.

$$E + 5 >= 20 = E > = 15$$

With this we will not be able to exactly determine number of employees.

Hence, (1) =====> is NOT SUFFICIENT

(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.[b]

$$E - 5 < 13 = E < 18$$

Once again this gives us a higher limit for E but still we cannot determine exact value of E

Hence, (2) =====> is NOT SUFFICIENT

Lets combine (1) & (2)

We get:

E >= 15
E < 18

E can be 15, 16, 17

As we are getting multiple values this is not sufficient.

(1) & (2) combined =====> is NOT SUFFICIENT