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GMAT Prep2?? (Median and Average)

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Source: — Problem Solving |

by m51v50 » Sun May 18, 2008 12:23 am
The easiest way:

.......I......I........I..........I..............I
140 140 140
Now, 124*5=620-140*3=200

So,
..........I..........I.............i...............i..............i
100 100 140 140 140

The reatest possible length of the shortest piece is 100.

Hope, this helps.
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by dferm » Sun May 18, 2008 10:39 am
Don't understand your logic...
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by wawatan » Sun May 18, 2008 1:49 pm
Average 124 means

a+b+c+d+e = 124*5 = 620

Assume a,b,c,d,e is the acending order, then since 140 is the median, c will be 140.

Smallest piece will be at its maximum length when pieced D and E are at their smallest possible (which will be 140 here because of the order) and the A and B are equal.

So,

a+a+140+140+140 = 620

2a = 620-420 = 200
a=100

Pieces will be

100 100 140 140 140.
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by dferm » Mon May 19, 2008 6:39 am
Very well explained..

Thanks..
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