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In a marketing survey for products A, B, and C, 1,000 people were

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In a marketing survey for products A, B, and C, 1,000 people were  [#permalink]

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New post 26 Nov 2015, 05:58
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (02:17) correct 36% (02:40) wrong based on 166 sessions

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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:
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Untitled.png [ 2.1 KiB | Viewed 2566 times ]

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Re: In a marketing survey for products A, B, and C, 1,000 people were  [#permalink]

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New post 26 Nov 2015, 07:39
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1
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
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Re: In a marketing survey for products A, B, and C, 1,000 people were  [#permalink]

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New post 26 Nov 2015, 12:13
Bunuel wrote:
Image
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:
The attachment Untitled.png is no longer available


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
Sets.png [ 8.27 KiB | Viewed 2349 times ]


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Re: In a marketing survey for products A, B, and C, 1,000 people were  [#permalink]

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New post 24 Dec 2018, 10:02
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Re: In a marketing survey for products A, B, and C, 1,000 people were   [#permalink] 24 Dec 2018, 10:02
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