Shortest piece of wood?

[kaveri_princess]

I saw this question on General Math question section:
five-pieces-of-wood-have-an-average-arithmatic-mean-length-t998.html

The answer listed there is B but why cant it be A?
With lengths being 90, 100, 140, 140, 150 (the mean is still 124 and the median is also 140)

Source:PowerPrep

Five pieces of wood have an average arithmatic mean length of 124 cms and a median length of 140 cms.What can be the maximum possible length in cms of the shortest piece of wood?

a.90
b.100
c.110
d.130
e.140

[atul.prasad]

Kaveri, since the question asks for the "maximum" possible length and 100 is a possible answer, A cannot be the solution.

[kaveri_princess]

Thanks Atul didnt see the maximum part. : )

I saw this question on General Math question section:
five-pieces-of-wood-have-an-average-arithmatic-mean-length-t998.html

The answer listed there is B but why cant it be A?
With lengths being 90, 100, 140, 140, 150 (the mean is still 124 and the median is also 140)

Source:PowerPrep

Five pieces of wood have an average arithmatic mean length of 124 cms and a median length of 140 cms.What can be the maximum possible length in cms of the shortest piece of wood?

a.90
b.100
c.110
d.130
e.140

[jnelson0612]

Thank you Atul!

kaveri, let us know if you have further questions.