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”

Which code represents “Runners trophies”?

Correct Answer: 135 235

To find the code representing “Runners trophies”, we analyze the given coded statements step-by-step by comparing common words and their corresponding numerical codes across statements.

Given Statements:
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: Find the code for “trails”
Comparing statements 1, 2, and 3, the common word in all three is “trails”.
The common numerical code present in statements 1, 2, and 3 is 232.
Therefore, trails = 232.

Step 2: Find the code for “runners”
Comparing statement 1 (“Runners map trails”) and statement 2 (“Pilots runners pack trails”), the common words are “runners” and “trails”.
The common codes between statement 1 (135, 212, 232) and statement 2 (165, 135, 118, 232) are 135 and 232.
Since we already established that trails = 232, the code for “runners” must be 135.
Therefore, runners = 135.

Step 3: Find the code for “pilots”
Comparing statement 2 (“Pilots runners pack trails”) and statement 3 (“Pilots guide trails trophies”), the common words are “pilots” and “trails”.
The common codes between statement 2 and statement 3 are 165 and 232.
Since trails = 232, the code for “pilots” must be 165.
Therefore, pilots = 165.

Step 4: Determine the code for “trophies”
In statement 3: “Pilots guide trails trophies” = “147 165 232 235”.
Substituting the known codes (pilots = 165 and trails = 232), we are left with “guide” and “trophies” coded as 147 and 235.
Matching with the options provided, the code paired with “runners” (135) is 235.
Therefore, trophies = 235.

Step 5: Combine the codes for “Runners trophies”
Code for “runners” = 135
Code for “trophies” = 235
Thus, the code representing “Runners trophies” is 135 235.