The problem asks us to find the code for the word 'HIGH' based on the given codes for 'HIDE' and 'CAGE'. We need to determine the pattern or mapping used.

Decoding the Pattern

Let's analyze the given examples:

• HIDE is coded as 19-23-7-11
• CAGE is coded as 5-2-17-11

We compare the letters of the words to their corresponding numerical codes:

• For HIDE: H -> 19, I -> 23, D -> 7, E -> 11
• For CAGE: C -> 5, A -> 2, G -> 17, E -> 11

By comparing both examples, we observe that the letter 'E' consistently maps to 11. This suggests a direct letter-to-number mapping.

Establishing the Code Mapping

Based on the analysis of the examples, we establish the following mapping for the required letters:

Applying the Mapping to HIGH

Now, we apply this established mapping to find the code for 'HIGH':

• The first letter is H. From our mapping, H -> 19.
• The second letter is I. From our mapping, I -> 23.
• The third letter is G. From our mapping, G -> 17.
• The fourth letter is H. From our mapping, H -> 19.

Combining these codes, we get 19-23-17-19.

Final Code

The code for HIGH is 19-23-17-19, which corresponds to Option 4.