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”

If “Pilots services need” is represented by “165 128 136”, which code sequence represents “Pack updates”?

The correct answer is 118 114.

Step-by-Step Explanation:

To find the code sequence for “Pack updates”, we can decode each word by comparing the given coded statements step-by-step.

Given Coded 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”
5. Additional condition: “Pilots services need” = “165 128 136”

Step 1: Decode "trails"
Comparing statements (1), (2), and (3), the word “trails” is common to all three statements.
Looking at their respective codes (“135 212 232”, “165 135 118 232”, and “147 165 232 235”), the common code number present in all three is 232.
⇒ trails = 232

Step 2: Decode "runners"
Comparing statement (1) and statement (2):
The common words are “runners” and “trails”.
Since we already know trails = 232, the remaining common word is “runners”.
Comparing the codes of (1) and (2), the common numbers are 135 and 232.
⇒ runners = 135

Step 3: Decode "pilots"
Comparing statement (2) and statement (3):
The common words are “pilots” and “trails”.
Since trails = 232, the remaining common word is “pilots”.
The common codes between statement (2) and (3) are 165 and 232.
⇒ pilots = 165

Step 4: Decode "pack"
Now examine statement (2): “Pilots runners pack trails” = “165 135 118 232”
We know:
• pilots = 165
• runners = 135
• trails = 232
The remaining word in statement (2) is “pack”, and the remaining code is 118.
⇒ pack = 118

Step 5: Decode "updates"
First, examine the additional condition: “Pilots services need” = “165 128 136”.
Since pilots = 165, the words “services need” correspond to the codes 128 and 136.
Next, look at statement (1): “Runners map trails” = “135 212 232”. Since runners = 135 and trails = 232, we get map = 212.
Now examine statement (4): “Map services need updates” = “212 114 136 128”
• map = 212
• services need = 128 and 136
The remaining word in statement (4) is “updates”, and the remaining code is 114.
⇒ updates = 114

Conclusion:
Combining the decoded results:
• Pack = 118
• Updates = 114
Therefore, the code sequence for “Pack updates” is 118 114.