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# Five pieces of wood have an average of 124centimeters and

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Five pieces of wood have an average of 124centimeters and [#permalink]

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05 Nov 2006, 08:17
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Five pieces of wood have an average of 124centimeters and median length of 140 cms . What is maximum possible length in centimeters of the shortest piece?
90
100
110
130
140
Senior Manager
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05 Nov 2006, 08:29
To give the shortest the max. length, the longest gets the min., which could only be 140.

Since the avg. is 124, total = 620

100,100,140,140,140

My ans. B

Right?
VP
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05 Nov 2006, 08:31
To have the max length for the smallest piece the lrgest piece should be equal to the median itself

so 3 pieces would be 140*3

Wheras the remaining woulbe 90 and 110

So 110 should be the answer
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05 Nov 2006, 08:36
The OA is 100 but I dont undesrtand why 110 is wrong..
Someone pls help!!
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05 Nov 2006, 08:41
If one is 110 the other has to be 90 which is smaller than 110. So 110 cannot be the smallest. The question asks for max. length of the smallest.
VP
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05 Nov 2006, 08:43
Sumithra wrote:
If one is 110 the other has to be 90 which is smaller than 110. So 110 cannot be the smallest. The question asks for max. length of the smallest.

Ooops got it.....The wording of these questions...Oh my goodness
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05 Nov 2006, 08:45
Classic GMAT Trap
05 Nov 2006, 08:45
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