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

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Current Student
Joined: 06 Sep 2013
Posts: 1978

Kudos [?]: 719 [1], given: 355

Concentration: Finance
a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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20 Sep 2013, 16:39
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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

Kudos [?]: 719 [1], given: 355

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128713 [0], given: 12182

Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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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, 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.

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Kudos [?]: 128713 [0], given: 12182

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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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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?

Kudos [?]: 16 [1], given: 1

Math Expert
Joined: 02 Sep 2009
Posts: 41884

Kudos [?]: 128713 [1], given: 12182

Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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21 Sep 2013, 02:38
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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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Kudos [?]: 128713 [1], given: 12182

Intern
Joined: 15 Oct 2012
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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21 Sep 2013, 02:41
Yeah !!! Missed that one One has to be greater than 69.

Well, thanks.

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Manager
Joined: 26 Sep 2013
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Concentration: Finance, Economics
GMAT 1: 670 Q39 V41
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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02 Nov 2013, 19:31
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

Kudos [?]: 179 [0], given: 40

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Kudos [?]: 273 [0], given: 0

Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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23 Jun 2015, 02:32
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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}. [#permalink]

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11 Oct 2016, 10:47
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: a, b, and c are integers in the set {a, b, c, 51,85,72}.   [#permalink] 11 Oct 2016, 10:47
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# a, b, and c are integers in the set {a, b, c, 51,85,72}.

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