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The value of a should be decided in such a way that the sum of the digits is divided by 3 completely.

:. 547 a = 5 + 4 + 7 + a = Number divisible by 3 = 16 + a [It should be divided by 3 completely]

⇒ a = 2, 5, 8 = 2 + 5 + 8 [Sum of values of a]

= 15

12.

A common factor of $x^{4} - 256, x^{3} - 4 x^{2} + 3 x - 12 and x^{2} - 7 x + 12 is$