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Of the 300 patients who suffered from at least one symptom

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Director
Director
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Joined: 27 Jun 2005
Posts: 513
Location: MS
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Kudos [?]: 35 [0], given: 0

Of the 300 patients who suffered from at least one symptom [#permalink] New post 18 Feb 2006, 16:27
00:00
A
B
C
D
E

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Of the 300 patients who suffered from at least one symptom of A, B, and C, 35 % suffered from A, 45% suffered from B, 40 % suffered from C, 10% suffered from exactly 2 of them. How many people suffered from exactly one symptom?

Pls explain answer choice.. :!: :!:
also pls explain what is the best approach for these type of questions....
Intern
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Joined: 16 Aug 2005
Posts: 37
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Kudos [?]: 1 [0], given: 0

 [#permalink] New post 19 Feb 2006, 12:20
is it 255 ?

A, B, C=Number of patients who suffered from at least A, B, C
X=Number of patients who suffered from exactly 2 syptoms
Y=Number of patients who suffered from exactly 3 syptoms

Total number of patients=A+B+C-X-2Y
300=300(0.35+0.40+0.35-0.1)-2Y
300=330-2Y
Y=15

Number of patients who suffered from 1 symptom:
=A+B+C-2X-3Y
=300-45
=255
  [#permalink] 19 Feb 2006, 12:20
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Of the 300 patients who suffered from at least one symptom

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