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26 Nov 2015, 05:58
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C
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Difficulty:
35%
(medium)
Question Stats:
77% (02:17) correct
23%
(02:42)
wrong
based on 1054
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In a marketing survey for products A, B, and C, 1,000 people were asked which of the products, if any, they use. The three circular regions in the diagram above represent the numbers of people who use products A, B, and C, according to the survey results. Of the people surveyed, a total of 400 use A, a total of 400 use B, and a total of 450 use C. What percent of the people surveyed use product A or product B or both, but not product C?
(A) 12.5%
(B) 17.5%
(C) 30%
(D) 40%
(E) 60%
Attachment:
Untitled.png [ 2.1 KiB | Viewed 19661 times ]
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26 Nov 2015, 07:39
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People who use only product A= Total people who use A - (People who use A&B) -(People who use A&C) -
(People who use A,B and C)
= 400 - 125 - 125 -75 = 75
Similary People who use only product B = 400 - 125 - 100 - 75 = 100
Now People who use product A or product B or both, but not product C= People who use only product A + People who use only product B + People who use product A & B
=75 + 100 + 125 = 300
Percentage = (300/1000)*100% = 30%
Answer C
(People who use A,B and C)
= 400 - 125 - 125 -75 = 75
Similary People who use only product B = 400 - 125 - 100 - 75 = 100
Now People who use product A or product B or both, but not product C= People who use only product A + People who use only product B + People who use product A & B
=75 + 100 + 125 = 300
Percentage = (300/1000)*100% = 30%
Answer C
General Discussion
26 Nov 2015, 12:13
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Bunuel
percent of the people surveyed use product A or product B or both, but not product C = The shaded regeion according to the diagram attached.
So, % of people surveyed use product A or product B or both, but not product C = ( 75+125+100)/100 =>30%
Hence answer is (C) 30%
Attachments
Sets.png [ 8.27 KiB | Viewed 18005 times ]
