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    The geometric mean of 3 positive numbers a,b and c is 3 and the geometric mean of 3  other positive numbers d,e,f is 4.Also,atleast 3 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 among 6 numbers?

  • M>2*1.732
  • M>3.5
  • M>=3.5
  • It is not possible to set any precise lower limit for m