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jlgdr
Joined: 06 Sep 2013
Last visit: 24 Jul 2015
Posts: 1,302
Given Kudos: 355
Concentration: Finance
Schools: Wharton '17 (A) HBS '17 (WA$)
20 Sep 2013, 16:39
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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a, b, and c are integers in the set {a, b, c, 51,85,72}. Is the median of the set greater than 70?
(1) b>c>69
(2) a<c<71
(1) b>c>69
(2) a<c<71
20 Sep 2013, 17:56
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a, b, and c are integers in the set {a, b, c, 51, 85, 72}. Is the median of the set greater than 70?
The median of 6 integers is the average of the middle two, when arranged in ascending/descending order.
(1) b > c > 69 --> the least values of c and b are 70 and 71, respectively. Even if a is the smallest of the numbers the median = (70 + 71)/2>70 (the set in this case is{a, 51, 70, 71, 72, 85}). Sufficient.
(2) a < c < 71. If a=69, c=70, and b is the smallest number, then the set is {b, 51, 69, 70, 72, 85} and the median is less than 70 but if a=69, c=70, and b is the largest number, then the set is {51, 69, 70, 72, 85, b} and the median is greater than 70. Not sufficient.
Answer: A.
The median of 6 integers is the average of the middle two, when arranged in ascending/descending order.
(1) b > c > 69 --> the least values of c and b are 70 and 71, respectively. Even if a is the smallest of the numbers the median = (70 + 71)/2>70 (the set in this case is{a, 51, 70, 71, 72, 85}). Sufficient.
(2) a < c < 71. If a=69, c=70, and b is the smallest number, then the set is {b, 51, 69, 70, 72, 85} and the median is less than 70 but if a=69, c=70, and b is the largest number, then the set is {51, 69, 70, 72, 85, b} and the median is greater than 70. Not sufficient.
Answer: A.
General Discussion
21 Sep 2013, 01:51
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Well, Bunnel i have a question over here - As the question does not specify whether the integers are different or not - in that case if we take 70 and 70 in the first statement than in that case answer will be different - am i right?
One has to be greater than 69.
