In a code language, if ‘FAST’ is coded as ‘3628’, ‘CLOSE’ is coded as ‘14927’ then how will ‘LEAF’ be coded in the same language?
4763
Understanding the Coding Language Problem
The problem provides a specific coding language where words are transformed into numerical codes. We are given two examples: 'FAST' is coded as '3628', and 'CLOSE' is coded as '14927'. Our task is to determine how the word 'LEAF' will be coded using the same logic.
This type of problem usually involves a direct substitution cipher, where each letter is assigned a specific digit based on the provided examples. We need to analyze the given word-code pairs to find this letter-to-digit mapping.
Analyzing the Given Codes
Let's break down the provided codes:
- From 'FAST' coded as '3628':
- F corresponds to 3
- A corresponds to 6
- S corresponds to 2
- T corresponds to 8
- From 'CLOSE' coded as '14927':
- C corresponds to 1
- L corresponds to 4
- O corresponds to 9
- S corresponds to 2
- E corresponds to 7
Notice that the letter 'S' appears in both words ('FAST' and 'CLOSE') and is consistently coded as '2'. This confirms that the coding is likely a direct letter-to-digit substitution where each letter has a unique corresponding digit across the examples.
Determining the Letter-to-Digit Mapping
Based on the analysis, we can compile the letter-to-digit mapping:
| Letter | Digit |
|---|---|
| F | 3 |
| A | 6 |
| S | 2 |
| T | 8 |
| C | 1 |
| L | 4 |
| O | 9 |
| E | 7 |
Coding the Word 'LEAF'
Now, we apply this mapping to the word 'LEAF'. We need to find the digit corresponding to each letter in 'LEAF' using the table we derived:
- For 'L', the digit is 4.
- For 'E', the digit is 7.
- For 'A', the digit is 6.
- For 'F', the digit is 3.
Putting these digits together in order, the code for 'LEAF' is 4763.
Comparing with Options
Let's compare the derived code '4763' with the given options:
- Option 1: 4763
- Option 2: 1789
- Option 3: 3784
- Option 4: 2863
The calculated code '4763' matches Option 1.
Conclusion
Following the established pattern from the coded words 'FAST' and 'CLOSE', the word 'LEAF' is coded as 4763.
Revision Table: Coding Language Concepts
| Concept | Description |
|---|---|
| Coding Language | A system where words or letters are converted into a different form, often numbers or symbols, following specific rules. |
| Direct Substitution | A type of code where each letter or symbol in the original text is replaced by a specific letter, number, or symbol. |
| Pattern Recognition | The ability to identify the underlying rule or logic governing the conversion in a coding problem. |
Additional Information: Types of Coding Problems
Coding and decoding problems are common in reasoning tests and often involve different types of patterns. Some other types include:
- Positional Value Coding: Using the alphabetical position of letters (e.g., A=1, B=2, etc.) sometimes with arithmetic operations.
- Letter Shifting (Caesar Cipher): Shifting each letter a fixed number of positions down or up the alphabet.
- Mixed Letter/Number Codes: Codes that might combine letter shifts with numerical values or other patterns.
- Symbol Coding: Using symbols instead of numbers or letters for substitution.
Solving these problems requires careful observation of the examples provided to deduce the specific rule being applied.
Important Questions from Coding Decoding Based on Numbers
In a certain code language, ‘CROW’ is coded as ‘64’ and ‘EAGLE’ is coded as ‘125’. How will ‘PARROT’ be coded in that language?
In a certain code language, ‘AROUND’ is coded as ‘52182412144’ and ‘FIX’ is coded as ‘63624’. How will ‘PLASTIC’ be coded in that language?
If POSTER is coded as 592314 and DARK is coded as 8647, then how will STROKE be coded as?
In a certain code language, ‘POUND’ is coded as ‘106’ and ‘CLEAN’ is coded as ‘41’. How will ‘MAKER’ be coded as in that language?
In a certain code language, 'CURD' is written as '342184' and 'BREAD' is written as '2181024'. How will 'BUTTER' be written in that language?
