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23 Mar 2020, 01:12
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B
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Difficulty:
5%
(low)
Question Stats:
93% (01:22) correct
7%
(02:25)
wrong
based on 59
sessions
History
Date
Time
Result
Not Attempted Yet
Each of the 24 people auditioning for a community-theater production is an actor, a musician, or both. If 10 of the people auditioning are actors and 19 of the people auditioning are musicians, how many of the people auditioning are musicians but not actors?
(A) 10
(B) 14
(C) 19
(D) 21
(E) 24
(A) 10
(B) 14
(C) 19
(D) 21
(E) 24
24 Mar 2020, 03:25
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As we know in venn diagrams
Total = A+B - both,
we have both (musician and actor )= (19+10) - 24 = 5
thus musician but not actors is : (musician - both)
= 19-5 =14
ANSWER : B
Total = A+B - both,
we have both (musician and actor )= (19+10) - 24 = 5
thus musician but not actors is : (musician - both)
= 19-5 =14
ANSWER : B
12 May 2020, 13:02
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Double Matrix method:
Actor Not actor
|------|------|Musician
| x |19-x | 19 Not musician
|------|------|
| 10-x | 0 |
---------------
10
x+(19-x)+ (10-x) = 24
29-x = 24
x= 5
19-5 = 14 ans
|------|------|
Actor Not actor
|------|------|Musician
| x |19-x | 19 Not musician
|------|------|
| 10-x | 0 |
---------------
10
x+(19-x)+ (10-x) = 24
29-x = 24
x= 5
19-5 = 14 ans
|------|------|
