In a certain code language, 'her father is okay' is coded as 6583, 'my father is well' is coded as 5137 and 'her arm is injured' is coded as 2839. How will 'okay' be coded in that language?
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Understanding Code Language Problems
Code language problems involve deciphering a pattern where words or phrases are represented by numbers or other symbols. The key is to find the relationship between the words and their corresponding codes, often by comparing different phrases.
Step-by-Step Decoding Analysis
Let's break down the given information to find the code for 'okay'. We have three coded phrases:
- 'her father is okay' is coded as 6583
- 'my father is well' is coded as 5137
- 'her arm is injured' is coded as 2839
Comparing Phrases to Find Common Codes
We compare the phrases to identify common words and their likely codes.
- Compare Phrase 1 and Phrase 2:
- Words in common: 'father', 'is'
- Codes in common: 5, 3
- So, 'father' and 'is' are coded as either 5 or 3.
- Compare Phrase 1 and Phrase 3:
- Words in common: 'her', 'is'
- Codes in common: 8, 3
- So, 'her' and 'is' are coded as either 8 or 3.
- Compare Phrase 2 and Phrase 3:
- Words in common: 'is'
- Codes in common: 3
- This confirms that the code for 'is' is 3.
Deducing Individual Word Codes
Now that we know the code for 'is', we can determine the codes for other words using the comparisons made earlier:
- From comparing Phrase 1 and 2, we found 'father' and 'is' are 5 and 3. Since 'is' is 3, 'father' must be 5.
- From comparing Phrase 1 and 3, we found 'her' and 'is' are 8 and 3. Since 'is' is 3, 'her' must be 8.
Finding the Code for 'okay'
Now let's look at the first phrase again:
'her father is okay' is coded as 6583.
We have found the codes for three of the words:
- 'her' = 8
- 'father' = 5
- 'is' = 3
Substituting these codes into the code for the first phrase (6583):
The code 6583 represents 'her father is okay'.
We have the codes for 'her' (8), 'father' (5), and 'is' (3). The only remaining word is 'okay', and the only remaining code is 6.
Therefore, the code for 'okay' is 6.
Summary of Codes
| Word | Code |
|---|---|
| is | 3 |
| father | 5 |
| her | 8 |
| okay | 6 |
Based on our analysis, the code for 'okay' is 6.
Revision Table: Code Language Basics
| Concept | Description |
|---|---|
| Code Language | A system where words, phrases, or letters are substituted with numbers, symbols, or other letters following a specific rule or pattern. |
| Decoding | The process of figuring out the original message from the coded language. |
| Comparison Method | A common technique in coding-decoding problems where you compare multiple coded messages to find common elements and deduce their codes. |
Additional Information: Types of Coding-Decoding
Coding-decoding is a common topic in reasoning tests. Different types of coding might include:
- Letter Coding: Letters are replaced by other letters.
- Number Coding: Words or letters are replaced by numbers.
- Symbol Coding: Words or letters are replaced by symbols.
- Mixed Coding (as in this problem): Words/phrases are coded using numbers, often requiring comparison of multiple statements.
- Sentence Coding: Entire sentences are coded, and parts of the sentence (words) need to be decoded.
Practicing different types helps in quickly identifying the underlying pattern.
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