BTGmoderatorDC wrote:In a series of four cricket matches, the average number of runs scored by Jack and Jill is same. The number of runs scored by Jill in the four matches are 45, 72, 18 and 25 respectively. If Jack's median score is 30 and his highest score, in the series, is thrice his least score of the series, then what is the highest score of Jack in the series?
A. 25
B. 30
C. 60
D. 75
E. Cannot be determined
OA D
Source: e-GMAT
Given that the average number of runs scored by Jack and Jill is same, the sum of runs scored by Jack and Jill is same, too.
Thus, in four matches, Jack scored 45 + 72 + 18 + 25 = 160
Say Jack's least score was x, thus, his highest score was 3x. Say the other two scores are y and z such that y ≤ z. Thus, Jack's four scores are x, y, z and 3x.
So, the median = (y + z)/2 = 30 => z = 60 - y
Thus, Jack's four scores are x, y, (60 - y) and 3x.
Sum of scores = x + y + (60 - y) + 3x = 160 => x = 25 => 3x = Highest score = 3*25 = 75.
The correct answer:
D
Hope this helps!
-Jay
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