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did not enroll for either

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did not enroll for either

by sanju09 » Mon Apr 04, 2011 2:04 am
In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
(A) 0
(B) 5
(C) 15
(D) 25
(E) 30

[spoiler]OA B[/spoiler]
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by manpsingh87 » Mon Apr 04, 2011 2:56 am
sanju09 wrote:In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
(A) 0
(B) 5
(C) 15
(D) 25
(E) 30

[spoiler]OA B[/spoiler]
only math= 40-15=25 only economics = 70-15=55, both =15 therefore total no. of students enrolled 55+25+15=95
hence no. of people not enrolled = 5% hence B
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by Anurag@Gurome » Mon Apr 04, 2011 4:20 am
sanju09 wrote:In a class 40% of the students enrolled for Math and 70% enrolled for Economics. If 15% of the students enrolled for both Math and Economics, what % of the students of the class did not enroll for either of the two subjects?
(A) 0
(B) 5
(C) 15
(D) 25
(E) 30

[spoiler]OA B[/spoiler]
See the Venn Diagram:

Image

The correct answer is B.
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