In a certain code language, ‘BEAK’ is coded as ‘4392’ and ‘RAKE’ is coded as ‘9034’. What is the code for ‘B’ in the given code language?
2
This problem involves a simple substitution-based code language. We are given two words and their corresponding codes, and we need to determine the code for a specific letter, 'B', based on the patterns observed in the given examples.
We are provided with the following information:
We need to find the code assigned to the letter 'B'.
Let's look at the letters in each word and the digits in their respective codes:
We need to figure out which letter corresponds to which digit. Let's look for common letters and common digits.
The letters common to both 'BEAK' and 'RAKE' are 'A', 'K', and 'E'.
The digits that appear in both 'BEAK''s code (4392) and 'RAKE''s code (9034) are '9', '3', and '4'.
This suggests that the letters {A, K, E} are mapped to the digits {9, 3, 4} in some order.
Now, let's consider the letters and digits that are unique to each word/code pair:
Based on this observation, it is highly likely that the unique letter in one word corresponds to the unique digit in its code when compared to the other word/code pair. Therefore:
The remaining letters {A, K, E} must then be coded using the remaining digits {9, 3, 4}. We don't need to figure out the exact mapping for A, K, and E to answer the question about the code for 'B'.
Following the pattern of unique letters mapping to unique digits, we have determined that the code for 'B' is '2'.
| Word | Code | Letters | Digits | Unique Letter (vs other word) | Unique Digit (vs other code) | Inferred Mapping |
|---|---|---|---|---|---|---|
| BEAK | 4392 | B, E, A, K | 4, 3, 9, 2 | B | 2 | B <--> 2 |
| RAKE | 9034 | R, A, K, E | 9, 0, 3, 4 | R | 0 | R <--> 0 |
The code for 'B' is 2.
| Concept | Description | Example Types |
|---|---|---|
| Letter Coding | Letters are replaced by other letters, numbers, or symbols. | Alphabet shifts, Letter-to-Number, Substitution |
| Number Coding | Words are coded as numbers based on letter positions or other rules. | Sum of positions, Product of positions, Pattern-based number assignment |
| Substitution Coding | Specific words or letters are assigned substitute words or symbols. | "Sky is blue" is coded as "blue is sky" (example type), letter-to-digit as seen here |
When tackling letter coding or coding-decoding problems in reasoning sections, consider these common approaches:
Always look for patterns by comparing the letters of the word with the elements of the code. Common elements between multiple examples often provide the key to cracking the code.
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