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15 May 2025, 00:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (02:06) correct
31%
(01:59)
wrong
based on 55
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History
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A marketing survey found that all participants had subscriptions to a magazine, a newspaper, or a book club. Of the participants, 30% subscribed to a magazine, 50% subscribed to a newspaper, and 20% subscribed to a book club. How many people subscribed to two or more publication types?
(1) Of the 100 people surveyed, everyone that subscribed to a book club also subscribed to a newspaper.
(2) Of the 100 people surveyed, anyone who subscribed to a magazine didn't subscribe to any other publication type.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
(1) Of the 100 people surveyed, everyone that subscribed to a book club also subscribed to a newspaper.
(2) Of the 100 people surveyed, anyone who subscribed to a magazine didn't subscribe to any other publication type.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!
15 May 2025, 11:50
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I need help clarifying a doubt about overlaps in this question.
My understanding:
The stem says all 100 participants subscribe to at least one type, with 30% (30) magazine, 50% (50) newspaper, and 20% (20) book club. Statement 1 places book club within newspaper, and Statement 2 isolates magazine. Combined, they seem sufficient to count overlaps (e.g., book club + newspaper = 20).
Doubt:
Since 30% + 50% + 20% = 100%, I thought there should be no overlaps, as the percentages cover all participants. If overlaps exist (e.g., book club in newspaper), does this mean some participants have no subscriptions? The condition “all subscribe to at least one” suggests no one has zero subscriptions, so how do overlaps work here?
Can someone explain why overlaps don’t imply zero subscriptions and how the percentages allow overlaps? Thanks!
My understanding:
The stem says all 100 participants subscribe to at least one type, with 30% (30) magazine, 50% (50) newspaper, and 20% (20) book club. Statement 1 places book club within newspaper, and Statement 2 isolates magazine. Combined, they seem sufficient to count overlaps (e.g., book club + newspaper = 20).
Doubt:
Since 30% + 50% + 20% = 100%, I thought there should be no overlaps, as the percentages cover all participants. If overlaps exist (e.g., book club in newspaper), does this mean some participants have no subscriptions? The condition “all subscribe to at least one” suggests no one has zero subscriptions, so how do overlaps work here?
Can someone explain why overlaps don’t imply zero subscriptions and how the percentages allow overlaps? Thanks!
16 May 2025, 03:05
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I too have the same doubt. This question is confusing.
kingbucky
I need help clarifying a doubt about overlaps in this question.
My understanding:
The stem says all 100 participants subscribe to at least one type, with 30% (30) magazine, 50% (50) newspaper, and 20% (20) book club. Statement 1 places book club within newspaper, and Statement 2 isolates magazine. Combined, they seem sufficient to count overlaps (e.g., book club + newspaper = 20).
Doubt:
Since 30% + 50% + 20% = 100%, I thought there should be no overlaps, as the percentages cover all participants. If overlaps exist (e.g., book club in newspaper), does this mean some participants have no subscriptions? The condition “all subscribe to at least one” suggests no one has zero subscriptions, so how do overlaps work here?
Can someone explain why overlaps don’t imply zero subscriptions and how the percentages allow overlaps? Thanks!
My understanding:
The stem says all 100 participants subscribe to at least one type, with 30% (30) magazine, 50% (50) newspaper, and 20% (20) book club. Statement 1 places book club within newspaper, and Statement 2 isolates magazine. Combined, they seem sufficient to count overlaps (e.g., book club + newspaper = 20).
Doubt:
Since 30% + 50% + 20% = 100%, I thought there should be no overlaps, as the percentages cover all participants. If overlaps exist (e.g., book club in newspaper), does this mean some participants have no subscriptions? The condition “all subscribe to at least one” suggests no one has zero subscriptions, so how do overlaps work here?
Can someone explain why overlaps don’t imply zero subscriptions and how the percentages allow overlaps? Thanks!
