In a certain code language, ‘DKQX’ is written as ‘WPJC’. How will ‘AFKP’ be written as in that language?
ZUPK
Understanding Code Language Patterns: Decoding DKQX to WPJC
This question asks us to decipher a coding pattern used to transform the word 'DKQX' into 'WPJC' and then apply that same pattern to code the word 'AFKP'. These types of problems test our ability to recognize logical relationships between letters.
Analyzing the Given Code: DKQX to WPJC
Let's examine the relationship between each letter in 'DKQX' and its corresponding letter in 'WPJC'. We can use the position of each letter in the English alphabet (A=1, B=2, ..., Z=26) to find the pattern.
| Original Letter | Position | Coded Letter | Position | Relationship |
|---|---|---|---|---|
| D | 4 | W | 23 | $4 + 23 = 27$ |
| K | 11 | P | 16 | $11 + 16 = 27$ |
| Q | 17 | J | 10 | $17 + 10 = 27$ |
| X | 24 | C | 3 | $24 + 3 = 27$ |
Observing the relationship column, we see that the sum of the positions of the original letter and the coded letter is always 27. This indicates that each letter is replaced by its "opposite" letter in the alphabet. Opposite letters are pairs like A and Z, B and Y, C and X, and so on, where counting from the beginning and end of the alphabet meets.
Applying the Code Pattern to AFKP
Now we will apply this same rule (replacing each letter with its opposite) to the word 'AFKP'.
- A: The position of A is 1. The letter whose position is $27 - 1 = 26$ is Z. So, A codes to Z.
- F: The position of F is 6. The letter whose position is $27 - 6 = 21$ is U. So, F codes to U.
- K: The position of K is 11. The letter whose position is $27 - 11 = 16$ is P. So, K codes to P.
- P: The position of P is 16. The letter whose position is $27 - 16 = 11$ is K. So, P codes to K.
Combining the coded letters, 'AFKP' is coded as 'ZUPK'.
Conclusion on AFKP Encoding
Following the coding rule where each letter is replaced by its alphabetical opposite (sum of positions equals 27), the word 'AFKP' is coded as 'ZUPK'.
Revision Table: Key Concepts in Coding Decoding
| Concept | Description | Example |
|---|---|---|
| Letter Positioning | Assigning a numerical value to each letter based on its alphabetical order (A=1, Z=26). | C=3, L=12, Y=25 |
| Opposite Letters | Pairs of letters whose positions sum to 27 (A-Z, B-Y, etc.). | D is opposite W ($4+23=27$) |
| Pattern Recognition | Identifying the logical rule or transformation between the original word and its coded form. | Addition, subtraction, position shifts, reversal, opposite letters, etc. |
| Application | Applying the identified pattern consistently to a new word to find its code. | Using the same rule for AFKP as found for DKQX. |
Additional Information: Types of Letter Coding
Coding and decoding questions often involve different types of patterns. Understanding these can help solve problems quickly:
- Letter Shifting/Position Shifting: Each letter is shifted a fixed number of positions forward or backward in the alphabet. (e.g., A becomes C, B becomes D - a shift of +2).
- Direct Letter Replacement: A specific letter is always replaced by another specific letter, but without a consistent shift pattern throughout the word. Often seen in larger coding examples.
- Opposite Letters: As seen in this problem, letters are replaced by their alphabetical opposites.
- Reversal: The order of letters in the word might be reversed before or after another rule is applied.
- Mixed Patterns: Sometimes a combination of rules is used, possibly applying different rules to different parts of the word or alternating rules.
Solving more coding decoding practice questions helps in quickly identifying these various patterns.
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Important Questions from Coding Letters of a Word
If JACKAL is coded as 11-2-4-12-2-13, then what is the code for TIGER?
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In a certain code language, ‘HAPPY’ is written as ‘JCRRA’ and ‘MAGIC’ is written as ‘OCIKE’. How will ‘LEVEL’ be written in that language?
