Q .     If `a_(1), a_(2)` and `a_(3)` be any positive real
numbers, then which of the following
statement is true?

VIT 2013
A

`3a_(1)a_(2)a_(3)<= a_(1)^( 3) + a_(2)^(3) + a_(3)^(3)`

B

`a_(1)/a_(2) + a_(2)/a_(3) + a_(3)/a_(3) >= 3`

C

`(a_(1)+a_(2)+a_(3)) (1/a_(1) + 1/a_(2) + 1/a_(3))>= 9`

D

`(a_(1).a_(2).a_(3)) (1/a_(1) + 1/a_(2) + 1/a_(3))^(3)>= 27`

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