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In a recent study, 90 people were surveyed about what type o

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In a recent study, 90 people were surveyed about what type o [#permalink] New post   24 Feb 2020, 11:34
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In a recent study, 90 people were surveyed about what type of animal they owned as a pet. Everyone surveyed owned at least one animal. The results are shown in the Venn diagram. What percent of the respondents said they had a dog and a cat but no birds?


A. 15%

B. 17%

C. 30%

D. 46%

E. 90%


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keyush06
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Re: In a recent study, 90 people were surveyed about what type o [#permalink] New post   25 Feb 2020, 00:44
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90-(29+4+2+9+17+14)=15(only dogs and cats)
thus,(15/90)*100 =100/6=16.67%=17%(approximately).
Hence, B
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Re: In a recent study, 90 people were surveyed about what type o [#permalink] New post   09 Apr 2020, 06:08
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There are 90 people in total but elements in the set add upto 75. This can only mean that the remaining 15 are either/or D'C'B' or DCB'. Since we are given that everyone surveyed owned at least one animal this means neither dogs, cats and birds (D'C'B')=0 which means we can say 90–75=15=DCB'. Hence our required percentage is 15/90*100≈17%.
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Re: In a recent study, 90 people were surveyed about what type o [#permalink]
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