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If 75 percent of the employees of a certain company take a w
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22 Sep 2016, 11:50
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%
GMAT Official Guide
A) 5%
B) 15%
C) 25%
D) 35%
E) 45%
GMAT Official Guide
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 75 percent of the employees of a certain company take a w
[#permalink]
22 Sep 2016, 11:51
22 Sep 2016, 11:51
1
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
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:
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:
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.
20 percent take neither a winter nor a summer vacation
Add that here:
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.
IMPORTANT: Since the bottom 2 boxes must add to 25, we can see that the bottom left box must equal 5.
Answer:
Show: ::
A
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Re: If 75 percent of the employees of a certain company take a w
[#permalink]
03 Jul 2019, 10:40
03 Jul 2019, 10:40
1
@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.
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.
