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If 75 percent of the employees of a certain company take a w

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If 75 percent of the employees of a certain company take a w [#permalink] New post   22 Sep 2016, 11:50
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If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?

A) 5%
B) 15%
C) 25%
D) 35%
E) 45%

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A
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Re: If 75 percent of the employees of a certain company take a w [#permalink] New post   22 Sep 2016, 11:51
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GreenlightTestPrep wrote:
If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?

A) 5%
B) 15%
C) 25%
D) 35%
E) 45%

GMAT Official Guide


Here's a step-by-step approach using the Double Matrix method.

We have a population of employees, and the two characteristics are:
- take a winter vacation or don't take a winter vacation
- take a summer vacation or don't take a summer vacation

So, we'll set up our matrix as follows:
Image
NOTE: Since we're need to find a PERCENT (rather than the actual number of people), we'll say that there are 100 employees altogether. This will make our calculations easier.

75 percent of the employees of a certain company take a winter vacation
If 75% TAKE a winter vacation, the remaining 25% DON'T take a winter vacation.
Since we've let 100 = the total number of employees, we can see that 75 take a winter vacation and 25 don't. We'll add this to our diagram:
Image

40 percent take a winter and a summer vacation
So, 40 employees take a winter AND a summer vacation, which we can add to our diagram.
Image


20 percent take neither a winter nor a summer vacation
Add that here:
Image

what percent of the employees take a summer vacation but not a winter vacation
We'll place a heart in the box that represents the value we're trying to solve for.
Image

IMPORTANT: Since the bottom 2 boxes must add to 25, we can see that the bottom left box must equal 5.
Image

Answer:
Show: ::
A


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Re: If 75 percent of the employees of a certain company take a w [#permalink] New post   03 Jul 2019, 10:40
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@GreenlightTestPrep
Hi, i need an opinion. I have very little time until my test day, and i'm kind of new to this overlapping sets. Been practicing the double matrix method for a few days. So i'm comfortable with questions such as this. My question is, how hard can gre get in terms of overlapping sets? And just one more, what kind of other set thery questions can i expect. They give atleast 3 from the set theory this much i know.
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Re: If 75 percent of the employees of a certain company take a w [#permalink] New post   03 Jul 2019, 11:08
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asfandiar wrote:
@GreenlightTestPrep
Hi, i need an opinion. I have very little time until my test day, and i'm kind of new to this overlapping sets. Been practicing the double matrix method for a few days. So i'm comfortable with questions such as this. My question is, how hard can gre get in terms of overlapping sets? And just one more, what kind of other set thery questions can i expect. They give atleast 3 from the set theory this much i know.


When you say "set theory" what are you referring to? I'm thinking of the set theory they teach you in university to help set you up for formal proofs.

I have a nice list of official and unofficial OVERLAPPING sets questions here: https://www.greenlighttestprep.com/modu ... /video/922
See the many linked questions in the Reinforcement Activities box

Cheers,
Brent
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Re: If 75 percent of the employees of a certain company take a w [#permalink] New post   04 Jul 2019, 02:08
@GreenlightTestPrep
Sorry, i meant Set Members. I was checking out the diagnostic report from the ETS website. In the quant section, right below data interpretation was "Set members". So in total there are 6 of these, 3 from each section. Are these the statistics/overlapping sets questions? And, what other topics can i expect to be covered among these questions.
Also, thank you for the practice questions. Much appreciated.
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Re: If 75 percent of the employees of a certain company take a w [#permalink] New post   04 Jul 2019, 06:23
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asfandiar wrote:
@GreenlightTestPrep
Sorry, i meant Set Members. I was checking out the diagnostic report from the ETS website. In the quant section, right below data interpretation was "Set members". So in total there are 6 of these, 3 from each section. Are these the statistics/overlapping sets questions? And, what other topics can i expect to be covered among these questions.
Also, thank you for the practice questions. Much appreciated.


I believe you're referring to this report: https://www.ets.org/s/gre/newsletter/20 ... report.pdf
I don't think "set members" is referring to a mathematical topic.

Notice that Data Analysis questions are listed as either discrete or set members.
I believe the discrete questions are those in which you get just ONE question that's based on a certain diagram/chart.
I believe the set member questions are those in which you get MORE THAN ONE question that's based on a certain diagram/chart.

Cheers,
Brent
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Re: If 75 percent of the employees of a certain company take a w [#permalink] New post   05 Jul 2019, 04:20
GreenlightTestPrep wrote:
asfandiar wrote:
@GreenlightTestPrep
Sorry, i meant Set Members. I was checking out the diagnostic report from the ETS website. In the quant section, right below data interpretation was "Set members". So in total there are 6 of these, 3 from each section. Are these the statistics/overlapping sets questions? And, what other topics can i expect to be covered among these questions.
Also, thank you for the practice questions. Much appreciated.


I believe you're referring to this report: https://www.ets.org/s/gre/newsletter/20 ... report.pdf
I don't think "set members" is referring to a mathematical topic.

Notice that Data Analysis questions are listed as either discrete or set members.
I believe the discrete questions are those in which you get just ONE question that's based on a certain diagram/chart.
I believe the set member questions are those in which you get MORE THAN ONE question that's based on a certain diagram/chart.

Cheers,
Brent


Got it. Thanks for clarifying!!
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Re: If 75 percent of the employees of a certain company take a w [#permalink] New post   02 Nov 2021, 11:59
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