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# Of the 32 students in a certain class, 15 are in a music

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Manager
Joined: 10 Oct 2005
Posts: 103
Location: Hollywood
Of the 32 students in a certain class, 15 are in a music  [#permalink]

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22 Aug 2006, 02:25
1
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 16 sessions

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Of the 32 students in a certain class, 15 are in a music club and 20 are in a dance club. If 10 of the students are not in either club, how many of the students are in only one of the two clubs?

(A) 5

(B) 9

(C) 10

(D) 17

(E) 25

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Joined: 13 Nov 2003
Posts: 649
Location: BULGARIA

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22 Aug 2006, 03:49
22=15+20-D&M so students in ONLY one of the club aRe 9
GMAT Club Legend
Joined: 29 Jan 2005
Posts: 4267

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22 Aug 2006, 07:50
1
1
Good manipulation of a Venn diagram problem.

Know the standard formula: Total = A + B + neither - both

32 = 15 + 20 +10

32 = 45

13 students must be in both clubs

10 + 13 = 23 students that are either in both clubs or neither club.

32 - 23 = 9 students that are in only one of either club

(B)
Senior Manager
Joined: 14 Jul 2005
Posts: 340

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22 Aug 2006, 08:36
1
Got B i.e. 9

Total = 32
Music = 15, Dance = 20 and Neither = 10

Total students in either Music or Dance = 32 - 10 = 22

Hence students in both Music and Dance = 15 + 20 - 22 = 13

Students that are in only one of the two clubs = 22 - 13 = 9
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Re: Of the 32 students in a certain class, 15 are in a music  [#permalink]

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13 Jan 2019, 06:41
1
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Re: Of the 32 students in a certain class, 15 are in a music   [#permalink] 13 Jan 2019, 06:41
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