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In a poll, 200 subscribers to Financial Magazine X indicated

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In a poll, 200 subscribers to Financial Magazine X indicated [#permalink] New post 26 Jun 2020, 09:41
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Question Stats:

49% (01:49) correct 49% (01:02) wrong based on 28 sessions
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In a poll, 200 subscribers to Financial Magazine X indicated which of five specific companies they own stock in. The results are shown in the table above. If 15 of the 200 own stock in both IBM and AT&T, how many of those polled own stock in neither company?

(A) 63
(B) 93
(C) 107
(D) 122
(E) 137
[Reveal] Spoiler: OA

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Re: In a poll, 200 subscribers to Financial Magazine X indicated [#permalink] New post 26 Jun 2020, 09:42
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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Re: In a poll, 200 subscribers to Financial Magazine X indicated [#permalink] New post 26 Jun 2020, 09:53
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Carcass wrote:
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In a poll, 200 subscribers to Financial Magazine X indicated which of five specific companies they own stock in. The results are shown in the table above. If 15 of the 200 own stock in both IBM and AT&T, how many of those polled own stock in neither company?

(A) 63
(B) 93
(C) 107
(D) 122
(E) 137


Another approach is to use the Double Matrix Method. This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions).
Here, we have a population of 200 magazine subscribers and the two characteristics we need to focus on are:
- owns stock in IBM or does not own stocks in IBM
- owns stock in AT&T or does not own stocks in AT&T

So we can set up our diagram as follows:
Image


If 30 of the 200 subscribers own stock in AT&T, then the other 170 subscribers do NOT own stock in AT&T
If 48 of the 200 subscribers own stock in IBM, then the other 152 subscribers do NOT own stock in IBM
When we add this to our diagram we get the following:
Image


At this point, we can complete the rest of our diagram:
Image

Since the bottom-right square represents subscribers who own stock in neither company, the correct answer is E

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Re: In a poll, 200 subscribers to Financial Magazine X indicated   [#permalink] 26 Jun 2020, 09:53
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In a poll, 200 subscribers to Financial Magazine X indicated

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