In a certain code language, 'FILE' is coded as 8357 and 'SINK' is coded as 9364. How will 'NIKE' be coded in that language?

6347

Given; In a certain code language, 'FILE' is coded as 8357 and 'SINK' is coded as 9364. 

The logic;

(every letter is coded with unique number)

So,

Letter  F  I  L  E

Code    8  3  5  7

And,

Letter  S  I  N  K

Code    9  3  6  4

Similarly,

Letter  N  I  K  E

Code    6  3  4  7

Thus, 6347 is correct.