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# In a poll, 200 subscribers to Financial Magazine X indicated

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Founder
Joined: 18 Apr 2015
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Kudos [?]: 3398 [0], given: 12223

In a poll, 200 subscribers to Financial Magazine X indicated [#permalink]  26 Jun 2020, 09:41
Expert's post
00:00

Question Stats:

49% (01:49) correct 49% (01:02) wrong based on 28 sessions

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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Founder
Joined: 18 Apr 2015
Posts: 13366
Followers: 290

Kudos [?]: 3398 [0], given: 12223

Re: In a poll, 200 subscribers to Financial Magazine X indicated [#permalink]  26 Jun 2020, 09:42
Expert's post
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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GRE Instructor
Joined: 10 Apr 2015
Posts: 3838
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Kudos [?]: 4496 [2] , given: 69

Re: In a poll, 200 subscribers to Financial Magazine X indicated [#permalink]  26 Jun 2020, 09:53
2
KUDOS
Expert's post
Carcass wrote:

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:

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:

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

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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