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# At a certain party attended by 32 people, 24 of them were students.

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Joined: 02 Sep 2009
Posts: 50708
At a certain party attended by 32 people, 24 of them were students.  [#permalink]

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06 Feb 2018, 21:50
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Difficulty:

15% (low)

Question Stats:

85% (01:28) correct 15% (01:44) wrong based on 65 sessions

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At a certain party attended by 32 people, 24 of them were students. If 12 of those in attendance were women, and if 6 of the women in attendance were students, then how many of the men who attended the party were NOT students?

(A) 2

(B) 4

(C) 8

(D) 12

(E) 18

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At a certain party attended by 32 people, 24 of them were students.  [#permalink]

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06 Feb 2018, 22:09
Bunuel wrote:
At a certain party attended by 32 people, 24 of them were students. If 12 of those in attendance were women, and if 6 of the women in attendance were students, then how many of the men who attended the party were NOT students?

(A) 2

(B) 4

(C) 8

(D) 12

(E) 18

Given Data:

P(Total) = 32
P(Students) = 24
P(Women) = 12
P(Women/Students) = 6

We can deduce the following information

P(Men) = P(Total) - P(Women) = 32-12 = 20
P(Men/Students) = P(Students) - P(Women/Students) = 24-6 = 18
P(Men/Non-Students) = P(Men) - P(Men/Students) = 20-18 = 2

Therefore, the total number of men who are not students is 2(Option A)
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At a certain party attended by 32 people, 24 of them were students.  [#permalink]

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08 Feb 2018, 18:55
Known Information:

Total People: 32
Students : 24
Women : 12
No of women students: 6

With the given data we can derive the following information

Number of Men : Total - Number of Women = 32 - 12 = 20
Number of Male Students : Number of students - Number of female students = 24 - 6 = 18
Number of Men - Number of male students = 20 - 18 = 2

Answer : Option A

PS: It would be easier to draw a table to solve this question. Attached the image for reference.
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Re: At a certain party attended by 32 people, 24 of them were students.  [#permalink]

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09 Feb 2018, 10:01
Bunuel wrote:
At a certain party attended by 32 people, 24 of them were students. If 12 of those in attendance were women, and if 6 of the women in attendance were students, then how many of the men who attended the party were NOT students?

(A) 2

(B) 4

(C) 8

(D) 12

(E) 18

Since 12 of the 32 people were women, 20 were men.

Since 24 are students and 6 of those students were women, 18 students were men .

Since there were a total of 20 men, and 18 of them were students, there were 20 - 18 = 2 men who were not students.

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Re: At a certain party attended by 32 people, 24 of them were students. &nbs [#permalink] 09 Feb 2018, 10:01
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# At a certain party attended by 32 people, 24 of them were students.

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