Thursday, September 09, 2010

5 pieces of wood have an average (arithmetic mean) length of 124 centimeters and a median length of 140

centimeters. What is the maximum possible length in centimeters of the shortest piece of wood?

A. 90
B. 100
C. 110
D. 130
E. 140


Shortest to Longest length ---- L1, L2, L3 = 140, L4, L5
L1 + L2 + 140 + L4 + L5 = 5 * 124
For L1 to be the maximum, L4 and L5 should be minimum
L1=L2
Thus, L1 + L2 = (5*124) - (140*3) = 620 - 420 = 200
Hence L1 = L2 = 100

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