Understanding the Coding Pattern

This question is a type of coding-decoding problem where we need to figure out the rule used to convert one word into another and then apply that same rule to a new word.

Analyzing the Example: 'FINE' to 'HKLC'

Let's look at the first example: 'FINE' is coded as 'HKLC'. We can analyze the shift in position for each letter in the alphabet:

• F (position 6) becomes H (position 8). The shift is $8 - 6 = +2$.
• I (position 9) becomes K (position 11). The shift is $11 - 9 = +2$.
• N (position 14) becomes L (position 12). The shift is $12 - 14 = -2$.
• E (position 5) becomes C (position 3). The shift is $3 - 5 = -2$.

The pattern observed here is: Add 2 to the position of the first two letters and subtract 2 from the position of the last two letters.

Verifying the Pattern with 'TOUR' to 'VQSP'

Let's check if this pattern holds for the second example: 'TOUR' is coded as 'VQSP'.

• T (position 20) becomes V (position 22). The shift is $20 \rightarrow 22$, which is $+2$.
• O (position 15) becomes Q (position 17). The shift is $15 \rightarrow 17$, which is $+2$.
• U (position 21) becomes S (position 19). The shift is $21 \rightarrow 19$, which is $-2$.
• R (position 18) becomes P (position 16). The shift is $18 \rightarrow 16$, which is $-2$.

The pattern ($+2, +2, -2, -2$) is consistent across both examples.

Applying the Pattern to 'MILK'

Now, we apply the same coding rule ($+2, +2, -2, -2$) to the word 'MILK':

• First letter M (position 13): Apply $+2$. $13 + 2 = 15$. The 15th letter is O.
• Second letter I (position 9): Apply $+2$. $9 + 2 = 11$. The 11th letter is K.
• Third letter L (position 12): Apply $-2$. $12 - 2 = 10$. The 10th letter is J.
• Fourth letter K (position 11): Apply $-2$. $11 - 2 = 9$. The 9th letter is I.

Combining these letters, we get 'OKJI'.

Conclusion

Based on the identified pattern, the word 'MILK' will be written as 'OKJI' in the given code language. This corresponds to option 4.