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The geometric mean of three positive num...

The geometric mean of three positive numbers a, b, c is 3 and the geometric mean of another three positive numbers d, e, f is 4. Also, at least three elements in the set {a, b, c, d, e, f} are distinct. Which one of the following inequalities gives the best information about M, the arithmetic mean of the six numbers?

A

`Mgt2sqrt3`

B

`Mgt3.5`

C

`Mge3.5`

D

It is not possible to set any precisee lower limit for M

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