In a certain code language, 'SOBER' is written as 'THFTY'. How will 'FIRST' be written in that code language?
VVVNL
Coding language questions involve deciphering a specific rule or pattern used to transform one word or set of letters into another. Once the rule is identified from the given example, it is applied to a new word to find its coded form.
We are given that in a certain code language, the word 'SOBER' is written as 'THFTY'. Let's examine the relationship between the letters of 'SOBER' and 'THFTY'.
Let's write down the words and their alphabetical positions:
| SOBER | Alphabetical Position |
|---|---|
| S | 19 |
| O | 15 |
| B | 2 |
| E | 5 |
| R | 18 |
| THFTY | Alphabetical Position |
|---|---|
| T | 20 |
| H | 8 |
| F | 6 |
| T | 20 |
| Y | 25 |
Looking at the positions letter by letter from SOBER to THFTY:
The shifts $(+1, -7, +4, +15, +7)$ do not seem to follow a simple, immediately obvious pattern based on the original word order.
Let's try reversing the word 'SOBER' and see if there is a pattern when comparing the reversed word to 'THFTY'.
Reversed SOBER is 'REBOS'. Let's compare 'REBOS' with 'THFTY':
| REBOS | Alphabetical Position | THFTY | Alphabetical Position | Shift |
|---|---|---|---|---|
| R | 18 | T | 20 | $20 - 18 = +2$ |
| E | 5 | H | 8 | $8 - 5 = +3$ |
| B | 2 | F | 6 | $6 - 2 = +4$ |
| O | 15 | T | 20 | $20 - 15 = +5$ |
| S | 19 | Y | 25 | $25 - 19 = +6$ |
Now we see a clear pattern! The code is generated by reversing the original word and then applying successive positive shifts starting from $+2$ and increasing by one for each subsequent letter $(+2, +3, +4, +5, +6)$.
We need to apply the same rule to the word 'FIRST' to find its code.
Step 1: Reverse the word 'FIRST'.
Reversed 'FIRST' is 'TSRIF'.
Step 2: Apply the successive shifts starting from $+2$ to the letters of 'TSRIF'.
Let's summarize the transformation in a table:
| Reversed FIRST | Alphabetical Position | Shift | New Position | Coded Letter |
|---|---|---|---|---|
| T | 20 | $+2$ | 22 | V |
| S | 19 | $+3$ | 22 | V |
| R | 18 | $+4$ | 22 | V |
| I | 9 | $+5$ | 14 | N |
| F | 6 | $+6$ | 12 | L |
Combining the coded letters, we get 'VVVNL'.
Based on the coding pattern observed from 'SOBER' to 'THFTY', the word 'FIRST' will be written as 'VVVNL' in that code language.
| Concept | Description | Example (SOBER to THFTY rule) |
|---|---|---|
| Coding Language | A system where words/letters are transformed based on a specific rule. | Reversing the word and applying sequential shifts. |
| Decoding | Identifying the rule used in a coding language. | Analyzing SOBER and THFTY to find the reverse and shift pattern. |
| Applying the Code | Using the discovered rule to code a new word. | Applying the reverse and sequential shift pattern to FIRST. |
| Alphabetical Position | Numerical order of letters (A=1, B=2, ... Z=26). | Used to calculate shifts (e.g., R=18, T=20, shift = $20-18=+2$). |
Coding-decoding is a common topic in logical reasoning tests. Different types of letter coding include:
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