Decoding the Coded Language

This problem requires us to deduce the code word for 'tower' based on given coded phrases. We will compare the phrases to identify common words and their corresponding codes.

Step 1: Identify Code for 'war'

• Phrase 1: 'war door' = 'plane potato'
• Phrase 2: 'cauliflower war' = 'racecar plane'
• Both phrases contain the word 'war'.
• The corresponding codes are 'plane potato' and 'racecar plane'.
• The common code word between 'plane potato' and 'racecar plane' is 'plane'.
• Therefore, the code word for 'war' is 'plane'.

Step 2: Identify Code for 'door'

• Using Phrase 1: 'war door' = 'plane potato'
• We know 'war' = 'plane'.
• Substituting 'war', we get 'plane door' = 'plane potato'.
• Removing the common code 'plane', we find that the code word for 'door' is 'potato'.

Step 3: Decode 'tower'

• Phrase 3: 'door tower' = 'potato mountain'
• From Step 2, we know 'door' = 'potato'.
• Substituting 'door', we get 'potato tower' = 'potato mountain'.
• Removing the common code 'potato', we find that the code word for 'tower' is 'mountain'.

Conclusion

Based on the logical deduction from the given coded phrases, the code word for 'tower' is 'mountain'.