In a certain code language, ‘DKQX’ is written as ‘WPJC’. How will ‘AFKP’ be written as in that language?
ZUPK
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.
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.
Now we will apply this same rule (replacing each letter with its opposite) to the word 'AFKP'.
Combining the coded letters, 'AFKP' is coded as 'ZUPK'.
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'.
| 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. |
Coding and decoding questions often involve different types of patterns. Understanding these can help solve problems quickly:
Solving more coding decoding practice questions helps in quickly identifying these various patterns.
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