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48% of respondents to a survey consisted of those who used both M and
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06 May 2021, 05:17
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66% (03:23) correct
33% (03:03) wrong based on 18 sessions
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48% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 44% of respondents did not use M. 39% used N. What percent of respondents used only N?
Re: 48% of respondents to a survey consisted of those who used both M and
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06 May 2021, 05:36
Carcass wrote:
48% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 44% of respondents did not use M. 39% used N. What percent of respondents used only N?
We can use the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions)..
Here, we have a population of respondents , and the two characteristics are: - Used M or didn't use M - Used N or didn't use N
With the given information, we can set up our matrix as follows: IMPORTANT: I let x = number of respondents who used BOTH M and N, and I let y = the number who used NEITHER M nor N", So, from the first sentence, we can write: x + y = 48 ASIDE: I placed a star in the box that the question asks us to find.
Next, since the two boxes on the right column must add to 44, the top-right box must be 44-y
Next, since the two boxes on the top row must add to 39, the top-right box must be 39-x
Since we have two ways to represent the top-right box, we can write: 44-y = 39-x Add x to both sides to get: 44 - y + x = 39 Subtract 44 from both sides to get: -y + x = -5 Rearrange to get: x - y = -5
We now know that: x + y = 48 x - y = -5
Add the equations to get: 2x = 43 Solve: x = 21.5
If x = 21.5, then the top-right box = 39 - 21.5 = 17.5
Answer: E
To learn more about the Double Matrix Method, watch this video:
Re: 48% of respondents to a survey consisted of those who used both M and
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22 Nov 2024, 02:43
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Re: 48% of respondents to a survey consisted of those who used both M and [#permalink]
06 May 2021, 05:17 
66% (03:23) correct
