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05 Nov 2017, 02:04
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
66% (01:57) correct
34%
(01:44)
wrong
based on 139
sessions
History
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A group of 49 consumers were offered a chance to subscribe to three magazines: A, B, and C. Thirty-eight of the consumers subscribed to at least one of the magazines. How many of the 49 consumers subscribed to exactly two of the magazines?
(1) Twelve of the 49 consumers subscribed to all three of the magazines.
(2) Twenty of the 49 consumers subscribed to magazine A.
(1) Twelve of the 49 consumers subscribed to all three of the magazines.
(2) Twenty of the 49 consumers subscribed to magazine A.
05 Nov 2017, 05:43
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Bunuel
The answer should be E as follows
Total=49
Let
subscribers to A=x
subscribers to B=y
subscribers to C=z
subscribers to exactly 2 magazines = m
subscribers to all three magazines = n
subscriber to no magazines = p = 49-38 = 11 [Given in question stem]
Formula is Total = subscribers to A + subscribers to B + subscribers to C - (subscribers to exactly 2 magazines) - 2(subscribers to all three magazines) + subscriber to no magazines
Total = x + y +z - m - 2*n +p
49 = x + y +z - m - 2*n + 11 ----------------------------------------------------------- Equation 1
We need to find out the value of m
(1) Twelve of the 49 consumers subscribed to all three of the magazines.
n=12
Putting the this value in the Equation 1, we get
49 = x + y +z - m - 2*12 + 11
49 = x + y +z - m - 34 + 11 ------------------------------------------------------------- Equation 2
Since we do not know the value of x,y,z we can not find the value of m
INSUFFICIENT
(2) Twenty of the 49 consumers subscribed to magazine A.
x=20
Putting this value in equation 1, we get
49 = x + y +z - m - 2*n + 11
49 = 20 + y +z - m - 2*n + 11
Since we do not know the value of y,z,n we can not find the value of m
INSUFFICIENT
Combining both, we get
49 = 20 + y +z - m - 24 + 11
Since we still do not know the value of y, z or (y+z), we can not find the value of m
INSIFFICIENT
Hence, E is the answer.
06 Nov 2017, 18:15
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Jabjagotabhisavera why are we not using the other formula, shouldn't we use this formula Total= A+B+C -(sum of 2 group overlaps)+ (All three) + Neither
Though the answer will still be 'E'
Though the answer will still be 'E'
