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 group of words is represented by the code “147 165 135”?
Correct Answer :
Guide pilots runners
Solution :
The correct option is Guide pilots runners.
Step-by-step breakdown:
To determine the group of words represented by the numerical code “147 165 135”, we analyze the common words and their corresponding numerical codes across the 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” and “runners”
Comparing statements (1), (2), and (3), the word “trails” is present in all three sentences. The only numerical code common to all three statements is 232.
⇒ trails = 232
Next, comparing statements (1) and (2), the common words are “runners” and “trails” with codes 135 and 232. Since 232 is “trails”, the code 135 represents “runners”.
⇒ runners = 135
Step 2: Find the code for “pilots”
Comparing statements (2) and (3), the common words are “pilots” and “trails”, and the common codes are 165 and 232. Since 232 represents “trails”, the code for “pilots” must be 165.
⇒ pilots = 165
Step 3: Find the code for “guide”
Looking at statement (3): “Pilots guide trails trophies” = 147 165 232 235.
Substituting the known values:
• pilots = 165
• trails = 232
The remaining words are “guide” and “trophies”, corresponding to codes 147 and 235. Therefore, code 147 corresponds to “guide”.
⇒ guide = 147
Step 4: Decode the given code sequence “147 165 135”
• Code 147 = Guide
• Code 165 = pilots
• Code 135 = runners
Thus, the code sequence “147 165 135” represents “Guide pilots runners”.
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