In a code language, TURN is written as STQM. What is the code for LIMP?
KHLO
This question asks us to decipher a code language based on a given example and then apply that code to a new word. We are given that the word TURN is written as STQM in this code language. We need to find the code for the word LIMP.
Let's examine the relationship between the letters of TURN and STQM. We can look at the position of each letter in the English alphabet:
We can see a clear pattern here. Each letter in the coded word is the letter that comes just before the corresponding letter in the original word. Mathematically, the alphabetical position of the coded letter is one less than the alphabetical position of the original letter. This can be represented as:
Coded Letter Position = Original Letter Position - 1
Let's represent this in a table for clarity:
| Original Word (TURN) | Alphabetical Position | Operation | Coded Word (STQM) | Alphabetical Position |
|---|---|---|---|---|
| T | 20 | 20 - 1 | S | 19 |
| U | 21 | 21 - 1 | T | 20 |
| R | 18 | 18 - 1 | Q | 17 |
| N | 14 | 14 - 1 | M | 13 |
Now we will apply the same pattern (each letter replaced by the preceding letter in the alphabet) to the word LIMP.
So, the code for LIMP is KHLO.
Let's summarize this step using the table format again:
| Original Word (LIMP) | Alphabetical Position | Operation | Coded Word | Alphabetical Position |
|---|---|---|---|---|
| L | 12 | 12 - 1 | K | 11 |
| I | 9 | 9 - 1 | H | 8 |
| M | 13 | 13 - 1 | L | 12 |
| P | 16 | 16 - 1 | O | 15 |
The code we found for LIMP is KHLO. Let's check the given options:
Our calculated code KHLO matches option 3.
| Concept | Description | Application in Problem |
|---|---|---|
| Code Language | A system where words or letters are replaced by others following a specific rule or pattern. | Understanding that TURN=STQM defines a coding rule. |
| Pattern Recognition | Identifying the consistent rule governing the transformation from the original word to the coded word. | Determining that each letter is replaced by the previous letter in the alphabet. |
| Code Application | Using the identified pattern to encode a new word. | Applying the 'previous letter' rule to the word LIMP. |
| Alphabetical Position | The numerical order of letters in the alphabet (A=1, B=2, ... Z=26). | Used to verify the pattern (e.g., T(20) to S(19) is a -1 change). |
Letter coding problems often involve different types of patterns. Understanding these can help solve various questions:
To solve code language problems, always start by comparing the given word and its code letter by letter to find a consistent rule.
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