In a code language, 'RAJAT' is coded as UCMCW and 'NIRAJ' is coded as QKUCM. How will 'MUKUL' be coded in the same language?
PWNWO
This question involves a coding and decoding task where words are transformed into codes based on a specific rule or pattern. We are given two examples of coded words: 'RAJAT' is coded as 'UCMCW', and 'NIRAJ' is coded as 'QKUCM'. Our goal is to identify the underlying pattern and then apply it to code the word 'MUKUL'.
Let's analyze the transformation of each letter in the first example, 'RAJAT' to 'UCMCW'. We can look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).
| Original Letter | Position | Coded Letter | Position | Difference |
|---|---|---|---|---|
| R | 18 | U | 21 | $21 - 18 = +3$ |
| A | 1 | C | 3 | $3 - 1 = +2$ |
| J | 10 | M | 13 | $13 - 10 = +3$ |
| A | 1 | C | 3 | $3 - 1 = +2$ |
| T | 20 | W | 23 | $23 - 20 = +3$ |
From the analysis of 'RAJAT', the pattern of shifts in letter positions appears to be +3, +2, +3, +2, +3.
Let's verify this pattern with the second example, 'NIRAJ' to 'QKUCM':
| Original Letter | Position | Coded Letter | Position | Difference |
|---|---|---|---|---|
| N | 14 | Q | 17 | $17 - 14 = +3$ |
| I | 9 | K | 11 | $11 - 9 = +2$ |
| R | 18 | U | 21 | $21 - 18 = +3$ |
| A | 1 | C | 3 | $3 - 1 = +2$ |
| J | 10 | M | 13 | $13 - 10 = +3$ |
The pattern (+3, +2, +3, +2, +3) is confirmed by the second example 'NIRAJ' to 'QKUCM'. The pattern alternates between adding 3 and adding 2 to the letter's alphabetical position.
Now we apply the identified pattern (+3, +2, +3, +2, +3) to the word 'MUKUL'.
Combining the coded letters, 'MUKUL' is coded as 'PWNWO'.
Based on the consistent pattern observed in the given examples, the word 'MUKUL' is coded as 'PWNWO'. We compare this result with the given options to find the correct answer.
The coded word 'PWNWO' matches Option 1.
| Original Word | Coded Word | Letter Shift Pattern |
|---|---|---|
| RAJAT | UCMCW | +3, +2, +3, +2, +3 |
| NIRAJ | QKUCM | +3, +2, +3, +2, +3 |
| MUKUL | PWNWO | +3, +2, +3, +2, +3 |
Coding-decoding questions are common in reasoning sections of competitive exams. They test your ability to identify patterns in how words, letters, or numbers are transformed. Common types include:
Solving these questions requires careful observation, pattern recognition, and logical deduction.
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