In a code language, 'my mistake' is written as '62', 'nice shoes' is written as '45', 'people are nice' is written as '135', and 'big mistake' is written as '29'. How would 'my shoes' be written in that language?
46
This question involves decoding a simple code language where words or phrases are assigned numerical codes. To solve this, we need to identify the code for individual words by comparing different coded phrases that share common words.
Let's break down the given information and look for common elements:
We need to find the codes for 'my' and 'shoes'.
Compare the phrases containing the word 'mistake':
Both phrases contain the word 'mistake'. The numerical codes are '62' and '29'. The common digit in these codes is '2'. Therefore, the code for 'mistake' is 2.
Now that we know the code for 'mistake', we can find the code for 'my':
If 'mistake' is 2, then 'my' must be the remaining digit in '62', which is 6. So, the code for 'my' is 6.
Compare the phrases containing the word 'nice':
Both phrases contain the word 'nice'. The numerical codes are '45' and '135'. The common digit in these codes is '5'. Therefore, the code for 'nice' is 5.
Now that we know the code for 'nice', we can find the code for 'shoes':
If 'nice' is 5, then 'shoes' must be the remaining digit in '45', which is 4. So, the code for 'shoes' is 4.
Based on our analysis, we have found the codes for the following words:
| Word | Code |
|---|---|
| mistake | 2 |
| my | 6 |
| nice | 5 |
| shoes | 4 |
| big (from 'big mistake' is '29', and mistake is 2) | 9 |
We need to find the code for 'my shoes'. We found that the code for 'my' is 6 and the code for 'shoes' is 4. The code for 'my shoes' will be a combination of these two digits, either 64 or 46. Looking at the options provided, 46 is one of the choices.
By decoding the individual words based on common elements in the given phrases, we determined that the code for 'my' is 6 and the code for 'shoes' is 4. Therefore, 'my shoes' would be written as 46 or 64 in this code language. The option that matches this is 46.
| Phrase | Code | Identified Codes |
|---|---|---|
| my mistake | 62 | my=6, mistake=2 |
| nice shoes | 45 | nice=5, shoes=4 |
| people are nice | 135 | nice=5, people are=13 or 31 |
| big mistake | 29 | big=9, mistake=2 |
| my shoes | ? | my=6, shoes=4 → 46 or 64 |
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