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Is c the median of a, b and c ? (1) b - c = a (2) c = a how

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Is c the median of a, b and c ? (1) b - c = a (2) c = a how  [#permalink]

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19 Oct 2010, 10:11
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56% (00:53) correct 44% (00:52) wrong based on 107 sessions

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Is c the median of a, b and c ?

(1) b - c = a

(2) c = a

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I'm the Dumbest of All !!

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Joined: 02 Sep 2009
Posts: 48044
Re: Is c the median of a, b and c ? (1) b - c = a (2) c = a how  [#permalink]

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19 Oct 2010, 10:29
1
shrive555 wrote:
Is c the median of a, b and c ?

(1) b - c = a

(2) c = a

how quickly you solve this ? write down ur timings.

If a set has odd number of terms the median of a set is the middle number when arranged in ascending or descending order;
If a set has even number of terms the median of a set is the average of the two middle terms when arranged in ascending or descending order.

So the median of the three numbers a, b and c would be the middle term, hence c would be the median in two cases: $$a\leq{c}\leq{b}$$ or $$a\geq{c}\geq{b}$$..

(1) b - c = a --> clearly insufficient. If b=10, c=1, a=9=median, then answer would be NO but if b=10, c=9=median, and a=1, then answer would be YES.

(2) c=a --> either the three numbers are c, c, b (in ascending order) --> media=c or the three numbers are b, c, c (in ascending order) --> median=c. Sufficient.

Similar question: ds6-93969.html?hilit=median

Hope it helps.
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Re: Is c the median of a, b and c ? (1) b - c = a (2) c = a how  [#permalink]

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20 Oct 2010, 14:14
B.

Solved in 10 seconds because I solved a similar problem a few minutes ago.

ds6-93969.html?hilit=median
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Joined: 04 Oct 2010
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GMAT 1: 720 Q48 V41
Re: Is c the median of a, b and c ? (1) b - c = a (2) c = a how  [#permalink]

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21 Oct 2010, 09:55
B 20 sec... was just studying number theory and then saw this question :-p thought at first that i was making a mistake but read the line "how quickly you solve this ? write down ur timings" and was sure that i was right
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Re: Is c the median of a, b and c ? (1) b - c = a (2) c = a how  [#permalink]

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25 Jul 2018, 03:55
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: Is c the median of a, b and c ? (1) b - c = a (2) c = a how &nbs [#permalink] 25 Jul 2018, 03:55
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