In a certain code,
'cracking lame jokes' is coded as 'kt vs fm'
'cracking colourful fireworks' is coded as 'fi ye kt'
'lame but colourful' is coded as 'vs xc ye'
(all the codes are two letter coded only)

What is the possible code for ‘fireworks lame’?

The correct option is fi vs.

To find the code for "fireworks lame", let us analyze the given coded sentences step-by-step:

1. Compare the first and second statements:
- "cracking lame jokes" = "kt vs fm"
- "cracking colourful fireworks" = "fi ye kt"
The common word in both statements is "cracking", and the common code is "kt". Therefore, the code for "cracking" is "kt".

2. Compare the first and third statements:
- "cracking lame jokes" = "kt vs fm"
- "lame but colourful" = "vs xc ye"
The common word in both is "lame", and the common code is "vs". Therefore, the code for "lame" is "vs".

3. Compare the second and third statements:
- "cracking colourful fireworks" = "fi ye kt"
- "lame but colourful" = "vs xc ye"
The common word is "colourful", and the common code is "ye". Therefore, the code for "colourful" is "ye".

4. Now, find the code for "fireworks":
From the second statement, "cracking colourful fireworks" is coded as "fi ye kt".
We already know:
- "cracking" = "kt"
- "colourful" = "ye"
This leaves the remaining word "fireworks" to be coded as "fi".

Combining our findings:
- The code for "fireworks" is "fi".
- The code for "lame" is "vs".
Thus, the code for "fireworks lame" is "fi vs".