In a certain language, 'honest persons' is coded as 'yu du', 'he is honest' is coded as 'du mu cu', 'she is emotional' is coded as 'mu hu ru', and 'she left' is coded as 'hu nu'. What is the code for the word 'emotional' in the code language?
ru
This problem requires us to decode words based on the given coded phrases in a specific language. We need to compare these phrases to find common words and their corresponding common codes.
Let's list the given coded phrases:
We will compare these statements systematically to find the codes for individual words.
Let's compare Statement 1 and Statement 2:
The common word in both statements is 'honest'. The common code word is 'du'.
Therefore, the code for 'honest' is 'du'.
Now let's compare Statement 2 and Statement 3:
We already know that 'honest' is 'du'. Let's substitute this into Statement 2: 'he is du' → 'du mu cu'. The remaining words/codes are 'he is' → 'mu cu'.
Comparing the remaining parts of Statement 2 ('he is' → 'mu cu') and Statement 3 ('she is emotional' → 'mu hu ru'), the common word is 'is', and the common code is 'mu'.
Therefore, the code for 'is' is 'mu'.
Next, let's compare Statement 3 and Statement 4:
We know that 'is' is 'mu'. Let's substitute this into Statement 3: 'she mu emotional' → 'mu hu ru'. The remaining words/codes are 'she emotional' → 'hu ru'.
Comparing the remaining parts of Statement 3 ('she emotional' → 'hu ru') and Statement 4 ('she left' → 'hu nu'), the common word is 'she', and the common code is 'hu'.
Therefore, the code for 'she' is 'hu'.
We are looking for the code for 'emotional'. Let's look back at Statement 3:
We have found the codes for 'she' and 'is':
Substituting these into Statement 3, we get: 'hu mu emotional' → 'mu hu ru'.
The words 'she' and 'is' correspond to the codes 'hu' and 'mu' (the order doesn't matter in such problems unless specified). The remaining word on the left side is 'emotional', and the remaining code on the right side is 'ru'.
Therefore, the code for 'emotional' is 'ru'.
| Word | Code |
|---|---|
| honest | du |
| is | mu |
| she | hu |
| emotional | ru |
Based on our step-by-step analysis of the given coded phrases, the code for the word 'emotional' is 'ru'.
| Concept | Key Strategy | Example Applied Here |
|---|---|---|
| Common Code | Identify words present in multiple statements. | 'honest' in Statements 1 & 2; 'is' in Statements 2 & 3; 'she' in Statements 3 & 4. |
| Common Word | Find the code word that appears in the corresponding coded phrases. | 'du' for 'honest'; 'mu' for 'is'; 'hu' for 'she'. |
| Elimination | Once a code for a word is found, eliminate it from other statements to simplify. | Used codes for 'honest', 'is', and 'she' to isolate 'emotional'. |
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