In a certain code language, 'FORENSIC' is coded as '61218221419183', and 'DORM' is coded as '4121813'. How will 'CARAMEL'. be coded In that language?
3261826132212
This coding question requires us to identify the specific pattern used to convert letters into numbers for the words 'FORENSIC' and 'DORM'. Once the pattern is understood, we can apply it to find the code for 'CARAMEL'.
Let's examine the given examples:
We can compare the letters with their standard alphabetical positions (A=1, B=2, ..., Z=26) and the given codes.
| Letter | FORENSIC Code | Alphabetical Position |
|---|---|---|
| F | 6 | 6 |
| O | 12 | 15 |
| R | 18 | 18 |
| E | 22 | 5 |
| N | 14 | 14 |
| S | 19 | 19 |
| I | 18 | 9 |
| C | 3 | 3 |
| Letter | DORM Code | Alphabetical Position |
|---|---|---|
| D | 4 | 4 |
| O | 12 | 15 |
| R | 18 | 18 |
| M | 13 | 13 |
Observing the tables, we notice that some letters (F, R, N, S, C, D, M) are coded using their direct alphabetical position. However, other letters (O, E, I) are coded differently.
Let's check if the letters coded differently are vowels (A, E, I, O, U) and the ones coded directly are consonants. Vowels in FORENSIC are O, E, I. Consonants are F, R, N, S, C. Vowels in DORM are O. Consonants are D, R, M.
This seems to be the distinction. Now let's figure out the coding for vowels.
The pattern is now clear:
Now we apply this identified coding pattern to the word 'CARAMEL'. We will determine if each letter is a consonant or a vowel and apply the corresponding rule.
| Letter | Type | Alphabetical Position | Coding Rule | Code |
|---|---|---|---|---|
| C | Consonant | 3 | Direct Position | 3 |
| A | Vowel | 1 | Reverse Position ($27 - 1$) | 26 |
| R | Consonant | 18 | Direct Position | 18 |
| A | Vowel | 1 | Reverse Position ($27 - 1$) | 26 |
| M | Consonant | 13 | Direct Position | 13 |
| E | Vowel | 5 | Reverse Position ($27 - 5$) | 22 |
| L | Consonant | 12 | Direct Position | 12 |
Concatenating the individual letter codes for 'CARAMEL', we get:
3 (for C) + 26 (for A) + 18 (for R) + 26 (for A) + 13 (for M) + 22 (for E) + 12 (for L)
Resulting code: 3261826132212.
Based on the pattern derived from the coded words 'FORENSIC' and 'DORM', the word 'CARAMEL' is coded as 3261826132212. This involves using the standard alphabetical position for consonants and the reverse alphabetical position ($27 - \text{position}$) for vowels.
| Letter Type | Coding Rule | Example (Letter, Position) | Coded Value |
|---|---|---|---|
| Consonant | Standard Alphabetical Position | F, 6 | 6 |
| Vowel | Reverse Alphabetical Position ($27 - \text{Position}$) | O, 15 | $27 - 15 = 12$ |
Coding-decoding questions are common in logical reasoning sections of competitive exams. They test your ability to observe patterns and apply rules. The patterns can be based on:
Practicing various types of coding-decoding problems helps in quickly identifying the underlying logic during the exam.
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