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At a certain company, some of the employees have advanced degrees, som [#permalink]

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05 Oct 2011, 23:29

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At a certain company, some of the employees have advanced degrees, some have one year or more of work experience, and some have both. If 20 percent of all employees have one year or more of experience and no advanced degree, what percentage of employees have advanced degrees and less than one year of experience?

(1) 35 percent of the employees do not have advanced degrees and 55 percent have less than one year of work experience.

(2) 15 percent of the employees lack an advanced degree and have less than one year of work experience; 45 percent have one year or more of experience.

Re: At a certain company, some of the employees have advanced degrees, som [#permalink]

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06 Oct 2011, 13:07

In the Image

Sections should be considered as below

A - With more than 1 year work experience F - Less than 1 yr work experience B - Advanced degree with more than 1yr WE C - Advanced degree with less than 1 yr WE D - No advanced degree and experience more than 1 yr E - No advance degree and experience less than 1 yr.

D = 20% and need to find out C

Statement 1 (1) 35 percent of the employees do not have advanced degrees and 55 percent have less than one year of work experience.

D+E = 35% ----(1) F = 55% ----(2)

So A= 45% and B+C = 65%

D = 20% ----(3)

from (1) and (3)

E = 15 % F = C+ E so C = 40% ( sufficient

Statement 2:

15 percent of the employees lack an advanced degree and have less than one year of work experience; 45 percent have one year or more of experience.

Re: At a certain company, some of the employees have advanced degrees, som [#permalink]

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16 Dec 2011, 07:17

D it is. For such problems, the grid method is the best way to arrange and solve. Got to the answer quickly because of the grid method. The Venn diagram method would, IMO, take a lot more than 2 minutes.
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Re: At a certain company, some of the employees have advanced degrees, som [#permalink]

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Re: At a certain company, some of the employees have advanced degrees, som [#permalink]

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22 Mar 2017, 01:57

krishnasty wrote:

At a certain company, some of the employees have advanced degrees, some have one year or more of work experience, and some have both. If 20 percent of all employees have one year or more of experience and no advanced degree, what percentage of employees have advanced degrees and less than one year of experience?

(1) 35 percent of the employees do not have advanced degrees and 55 percent have less than one year of work experience.

(2) 15 percent of the employees lack an advanced degree and have less than one year of work experience; 45 percent have one year or more of experience.

This question asks us if we have enough information to determine the amount of employees that only have advanced degrees; from the question stem we know that employees with advanced degrees, employees with one or more year of work experience and employees with both. We cannot necessarily rule out that there cannot be a separate category for employees that fit neither of the three criteria- had the question been written somewhere along the lines of "employees at a firm all had either advanced degrees, one or more years of work experience, or both," then we could exclude the category of neither.

Statement (1) tells us the value of A (55) if we look at the question as a venn diagram and also implies the value of employees that fit into the category of neither- if 20 percent of employees have one or more year of experience and no advanced degree and 35 percent of employees do not have advanced degrees then 15 percent of employees must fit the category of having neither an advanced degree or one or more year of work experience. Hence, we can use a set theory formula to solve the question. Sufficient.

Total= A + B - Both + Neither

Statement (2) tells us that there is a category of employees that neither have an advanced degree or one or more years of work experience and gives us its percentage as well as the percentage of employees that have 45 years of more of work experience; therefore, we can solve the question by applying the same set theory formula as in statement (1). Sufficient.

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