Let f x = a 2 - 5 a + 4 x 3 - 6 a 2 - 5 a + 1 × - tan   x   sgn   x , be an even function for all x∈R, then sum of all possible values of 'a' is (where [ ] and { } denote greatest integer function and fractional part functions respectively)
(A) 17 6                  (B) 53 6                 (C) 31 3                   (D) 35 3

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