Bunuel wrote:

Five logs of wood have an average length of 100 cm and a median length of 116 cm. What is the maximum possible length, in cm, of the shortest piece of wood?

(A) 50

(B) 76

(C) 84

(D) 96

(E) 100.[/i]

Ans: B

Solution: we know avg length is 100 means total length is 500.

mediun is 116 means among the other four, 2 are less than 116 or equal ro 2 are greater or equal. but as we know avg is 100 means all of them can not be of same length.

now requirement is shortest piece with maximum length. means shortest piece can be as close as 116 but as other two bigger piec0e can be bigger or equal to 116 and we want to make shortest piece the largest we need to make those two bigger pieces = 116

now we know three length 116*3 = 348

500-348=152

so 152/2= 76

this can be the maximum shortest piece length

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