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Difficulty:
45%
(medium)
Question Stats:
71%
(02:36)
correct 29%
(02:41)
wrong
based on 279
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History
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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.
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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.
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.
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.
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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.
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.
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.
From the question statement we can form the basic grid as follows:
Attachment:
Screenshot 2019-04-29 at 01.59.43.png
In the above grid, note that the final total will always be 100 for any total column or total row as we are calculating in percentage.
Now lets plug in the data given in the question statement. Only one piece of data is given that Employees with W.exp>1 and no advanced degree is 20%
Hence, the grid becomes:
Attachment:
Screenshot 2019-04-29 at 02.12.39.png
Now lets look at the statements.
Statement 1: 35% do not have advanced degrees and 55% have less than 1 year work exp Lets plug in these values to our table.
Attachment:
Screenshot 2019-04-29 at 02.04.40.png
Now using basic addition and subtraction, lets calculate the rest of the values in the table:
Attachment:
Screenshot 2019-04-29 at 01.59.16.png
Hence Statement 1 is sufficient.
Statement 2: 15% dont have Advanced Degrees and less than 1 year of work exp. 45% have more than one year of work exp Going back to our semi-blank table that we formed using only the question statement, lets plug in the values from statement 2.
We get the following table:
Attachment:
Screenshot 2019-04-29 at 02.09.13.png
Again using basic arithmetic, we get the following table
Attachment:
Screenshot 2019-04-29 at 01.59.16.png
Hence statement 2 is also sufficient.
Hence D is our answer.
Feel free contact me if you are unclear.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.