In a certain code language, 'he is my friend' is coded as '5692', 'my aunt is ill' is coded as '7635', 'friend is ill' is coded as '627'. What is the code for the word 'aunt' in this code language?
3
This question involves a type of coding where words in sentences are assigned specific numerical codes. The key to solving such problems is to compare the given sentences and their corresponding codes to find common words and identify their unique codes.
We are given three coded phrases:
| Phrase | Code |
|---|---|
| he is my friend | 5692 |
| my aunt is ill | 7635 |
| friend is ill | 627 |
Let's compare the phrases to find common words and their corresponding codes.
Notice that the word 'is' is present in all three phrases. Let's look at the codes that were common in our comparisons:
The code 6 is the only code that appears in all three sets of common codes. Since the word 'is' is the only word common to all three phrases, the code for 'is' must be 6.
Now that we know 'is' = 6, we can use this information in our previous comparisons:
We need to find the code for 'aunt'. Let's look at the second phrase: 'my aunt is ill' which is coded as '7635'.
We have already found the codes for some words in this phrase:
The codes for 'my', 'is', and 'ill' are 5, 6, and 7. The complete code for the phrase 'my aunt is ill' is 7635. The codes 7, 6, and 5 correspond to 'ill', 'is', and 'my'. The remaining code in the sequence '7635' is 3.
The only word left in the phrase 'my aunt is ill' is 'aunt'. Therefore, the code for 'aunt' must be 3.
Let's quickly verify with the first phrase: 'he is my friend' (5692). 'is'=6, 'my'=5, 'friend'=2. The codes 6, 5, 2 are used. The remaining code is 9, and the remaining word is 'he'. So, 'he' = 9.
Let's quickly verify with the third phrase: 'friend is ill' (627). 'friend'=2, 'is'=6, 'ill'=7. The codes 2, 6, 7 are used, matching '627'.
All deductions are consistent. The code for 'aunt' is 3.
| Word | Code |
|---|---|
| is | 6 |
| my | 5 |
| ill | 7 |
| friend | 2 |
| he | 9 |
| aunt | 3 |
Coding language problems often involve finding patterns between words and their assigned codes. Common types include:
Successfully solving these problems relies on careful observation, comparison, and step-by-step deduction. Always look for elements that are common across different examples provided in the question.
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