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18 Oct 2023, 08:03
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Number who liked only the serious ad: 9
Number who liked only the comical ad: 13
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
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Question Stats:
82% (02:01) correct
18%
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wrong
based on 692
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Data Insights (DI) Butler 2023-24 [Question #51, Date: Oct-18-2023] [Click here for Details]
A focus group of 24 people is asked to consider two possible ads. One features a serious accounting of product features and awards. The other is an animated treatment with a comical approach. The focus group members are asked if they prefer the serious ad, prefer the comical ad, like both, or dislike both. Eleven members viewed the serious ad positively, and 15 had a positive view of the comical ad. If no one disliked both ads, find the number of group members who liked only the serious ad and the number who liked only the comical ad.
| Number who liked only the serious ad | Number who liked only the comical ad | |
| 5 | ||
| 7 | ||
| 9 | ||
| 11 | ||
| 13 | ||
| 15 |
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Official Answer
Number who liked only the serious ad: 9
Number who liked only the comical ad: 13
16 Nov 2023, 06:54
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Can someone explain the answer of this question?
16 Nov 2023, 14:34
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Official Explanation
Because the 11 who liked the serious ad plus the 15 who liked the comical ad total more than the 24 on the panel, there must be some panel members who liked both. Also, it is given that no one disliked both. If one person liked both, there would be 10 who liked only the serious ad, 14 who liked only the comical ad, and 1 who liked both. This still totals more than 24. If two people liked both, there would be 9 who liked only the serious ad, 13 who liked only the comical ad, and 2 who liked both. That accounts for all 24.
Because the 11 who liked the serious ad plus the 15 who liked the comical ad total more than the 24 on the panel, there must be some panel members who liked both. Also, it is given that no one disliked both. If one person liked both, there would be 10 who liked only the serious ad, 14 who liked only the comical ad, and 1 who liked both. This still totals more than 24. If two people liked both, there would be 9 who liked only the serious ad, 13 who liked only the comical ad, and 2 who liked both. That accounts for all 24.
