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08 Oct 2014, 14:23
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B
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Difficulty:
75%
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Question Stats:
60% (02:40) correct
40%
(02:49)
wrong
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The average score of x number of exams is y. When an additional exam of score z is added in, does the average score of the exams increase by 50%?
(1) 3x = y
(2) 2z - 3y = xy
(1) 3x = y
(2) 2z - 3y = xy
08 Oct 2014, 23:00
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Bunuel
B.
The questions can be mathematically represented as:
(xy+z)/(x+1) = 1.5y --- (A)
1) 3x=y
clearly insufficient as we have no info about z.
2) 2z-3y=xy
this is nothing but the simplified form of equation (A)
sufficient.
24 Mar 2017, 00:16
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Sum of the exam scores = xy
When new score z is introduced, sum is xy+z
Avg =( xy+z)/x+1
Question is asking if (xy+z)/x+1 = 150% of y
On solving, we get xy = 2z-3y, which is given in statement b
Hence B.
When new score z is introduced, sum is xy+z
Avg =( xy+z)/x+1
Question is asking if (xy+z)/x+1 = 150% of y
On solving, we get xy = 2z-3y, which is given in statement b
Hence B.
