In a code language, 'PARUL' is coded as RDTXN and 'MADHU' is coded as ODFKW. How will 'VIJAY' be coded in the same language?
XLLDA
Understanding Code Language Reasoning
In this type of reasoning question, we need to find the hidden pattern or rule used to convert one set of letters (a word) into another set of letters (its code). The same rule must be applied consistently to all given examples and then to the word we need to code.
Analyzing the Coding Pattern for PARUL and MADHU
Let's look at the given examples:
- 'PARUL' is coded as 'RDTXN'
- 'MADHU' is coded as 'ODFKW'
We can analyze the shift in position for each letter in the alphabet. We can assign a numerical value to each letter (A=1, B=2, ..., Z=26).
| Original Word | Letter | Position | Coded Word | Coded Letter | Position | Shift |
|---|---|---|---|---|---|---|
| PARUL | P | 16 | RDTXN | R | 18 | $18 - 16 = +2$ |
| A | 1 | D | 4 | $4 - 1 = +3$ | ||
| R | 18 | T | 20 | $20 - 18 = +2$ | ||
| U | 21 | X | 24 | $24 - 21 = +3$ | ||
| L | 12 | N | 14 | $14 - 12 = +2$ |
| Original Word | Letter | Position | Coded Word | Coded Letter | Position | Shift |
|---|---|---|---|---|---|---|
| MADHU | M | 13 | ODFKW | O | 15 | $15 - 13 = +2$ |
| A | 1 | D | 4 | $4 - 1 = +3$ | ||
| D | 4 | F | 6 | $6 - 4 = +2$ | ||
| H | 8 | K | 11 | $11 - 8 = +3$ | ||
| U | 21 | W | 23 | $23 - 21 = +2$ |
From both examples, we can observe a consistent pattern: the letters are shifted by +2, +3, +2, +3, +2 positions respectively.
Applying the Coding Pattern to VIJAY
Now we apply the same pattern (+2, +3, +2, +3, +2) to the word 'VIJAY'. Let's find the position of each letter in 'VIJAY' and apply the shift.
- V: Position 22. Apply +2 shift: $22 + 2 = 24$. The 24th letter is X.
- I: Position 9. Apply +3 shift: $9 + 3 = 12$. The 12th letter is L.
- J: Position 10. Apply +2 shift: $10 + 2 = 12$. The 12th letter is L.
- A: Position 1. Apply +3 shift: $1 + 3 = 4$. The 4th letter is D.
- Y: Position 25. Apply +2 shift: $25 + 2 = 27$. Since there are only 26 letters, we wrap around from Z. Position 27 is the same as Position $27 - 26 = 1$. The 1st letter is A.
Combining the coded letters, 'VIJAY' is coded as XLLDA.
Therefore, following the established coding language rule, 'VIJAY' is coded as 'XLLDA'.
Revision Table: Letter Positions and Shifts
| Letter | Position | Shift Pattern | New Position | Coded Letter |
|---|---|---|---|---|
| V | 22 | +2 | $22 + 2 = 24$ | X |
| I | 9 | +3 | $9 + 3 = 12$ | L |
| J | 10 | +2 | $10 + 2 = 12$ | L |
| A | 1 | +3 | $1 + 3 = 4$ | D |
| Y | 25 | +2 | $25 + 2 = 27 \rightarrow 1$ (wrap around) | A |
Additional Information on Coding Decoding Reasoning
Coding-decoding is a common topic in logical reasoning tests. These questions assess your ability to decipher rules and patterns. The patterns can involve:
- Letter shifts (forward or backward, constant or varying)
- Substitution of letters with other letters or symbols
- Swapping positions of letters within the word
- Combining letter shifts and position changes
- Applying arithmetic operations to letter positions
To solve these problems effectively, it is helpful to:
- Know the alphabetical positions of letters quickly.
- Write down the given words and their codes.
- Compare corresponding letters to find the difference or relationship.
- Test the discovered pattern on all given examples to ensure consistency.
- Apply the confirmed pattern to the new word.
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