In a certain language, the word CAB is coded as 25 and the word MAT is coded as 1089. What will be the word FIN coded as?

Alphabetical positions of C, A and B are 3, 1 and 2. The sum is 3 + 1 + 2 = 6 and $$\left(6\ -\ 1\right)^2\ =\ 25$$.

Alphabetical positions of M, A and T are 13, 1 and 20. The sum is 13 + 1 + 20 = 34 and $$\left(34\ -\ 1\right)^2\ =\ 1089$$.

Similarly, the Alphabetical positions of F, I and N are 6, 9 and 14. The sum is 6 + 9 + 14 = 29 and $$\left(29\ -\ 1\right)^2\ =\ 784$$.

The correct answer is option B.