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a, b, and c are integers in the set {a, b, c, 51,85,72}.

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a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink] New post 20 Sep 2013, 15:39
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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
[Reveal] Spoiler: OA
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink] New post 20 Sep 2013, 16:56
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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, b=70, and c is the smallest number, then the set is {c, 51, 69, 70, 72, 85} and the median is less than 70 but if a=69, b=70, and c is the largest number, then the set is {51, 69, 70, 72, 85, c} and the median is greater than 70. Not sufficient.

Answer: A.
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink] New post 21 Sep 2013, 00:51
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?
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink] New post 21 Sep 2013, 01:38
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nikhilsehgal wrote:
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?


(1) says that b>c>69.
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink] New post 21 Sep 2013, 01:41
Yeah !!! Missed that one :) One has to be greater than 69.

Well, thanks.
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink] New post 02 Nov 2013, 18:31
nikhilsehgal wrote:
Yeah !!! Missed that one :) One has to be greater than 69.

Well, thanks.


came here to post about that very question. Sloppiness kills on this test! It got me too on this question
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink] New post 23 Jun 2015, 01:32
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}.   [#permalink] 23 Jun 2015, 01:32
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