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01 Nov 2015, 02:11
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
85% (01:23) correct
15%
(01:54)
wrong
based on 589
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 5
B. 9
C. 10
D. 17
E. 25
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01 Nov 2015, 06:03
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Out of 32
10 are not in either of the clubs
Thus
22 = 15 + 20 -both
Both = 13
Therefore
only music = 15-13 = 2
only Dance = 20 - 13 = 7
Hence 7 + 2 =9
10 are not in either of the clubs
Thus
22 = 15 + 20 -both
Both = 13
Therefore
only music = 15-13 = 2
only Dance = 20 - 13 = 7
Hence 7 + 2 =9
01 Nov 2015, 06:15
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We can solve this question using the double matrix method( The values in black are given while the ones in blue have been calculated)
Number of students in only one of the 2 clubs = (Number of students in Music and Dance') + (Number of students in Dance and Music')
=2+7=9
Answer B
Number of students in only one of the 2 clubs = (Number of students in Music and Dance') + (Number of students in Dance and Music')
=2+7=9
Answer B
Attachments
Double_matrix_sets.PNG [ 23.21 KiB | Viewed 12129 times ]
