Directions: Examine the coded statements and answer the question.

In a particular coding system:
“Runners map trails” is represented by “135 212 232”
“Pilots runners pack trails” is represented by “165 135 118 232”
“Pilots guide trails trophies” is represented by “147 165 232 235”
“Map services need updates” is represented by “212 114 136 128”

In the coding system above, the code “128” stands for which word?

The correct option is Cannot be determined.

To find which word the code “128” stands for, we analyze the given coded statements by comparing common words and their corresponding numerical codes:
1. “Runners map trails” = 135 212 232
2. “Pilots runners pack trails” = 165 135 118 232
3. “Pilots guide trails trophies” = 147 165 232 235
4. “Map services need updates” = 212 114 136 128

Step 1: Determine the code for the word "map"
Comparing Statement 1 (“Runners map trails”) and Statement 4 (“Map services need updates”):
The only word common to both statements is “map”.
Looking at their code sets, {135, 212, 232} and {212, 114, 136, 128}, the only common number is 212.
Hence, “map” = 212.

Step 2: Analyze the remaining codes in Statement 4
Statement 4 tells us that “Map services need updates” is represented by {212, 114, 136, 128}.
Since 212 is the code for “map”, the remaining three words—“services”, “need”, and “updates”—must correspond to the remaining three numbers—114, 136, and 128—in an unspecified order.

Step 3: Check for uniqueness
None of the words “services”, “need”, or “updates” appear in Statements 1, 2, or 3. Because these words do not appear anywhere else in the given data, it is impossible to uniquely isolate which specific code among {114, 136, 128} belongs to which word.

Conclusion:
The code 128 could represent any of the three words: services, need, or updates. Therefore, the exact word corresponding to code 128 cannot be determined.