In code language, ‘ROLLER’ is written as ‘TQNJCP’, then how will ‘DOCILE’ be written as in that language?
FQEGJC
This question asks us to decipher a code language pattern and apply it to a new word. We are given an example of how the word 'ROLLER' is encoded into 'TQNJCP'. Our task is to use this pattern to encode the word 'DOCILE'.
Let's look at each letter in 'ROLLER' and its corresponding letter in 'TQNJCP' to find the rule. We can consider the alphabetical position of each letter.
The letters in 'ROLLER' are R, O, L, L, E, R.
The letters in 'TQNJCP' are T, Q, N, J, C, P.
| Original Letter | Position | Coded Letter | Position | Change |
|---|---|---|---|---|
| R | 18 | T | 20 | $+2$ |
| O | 15 | Q | 17 | $+2$ |
| L | 12 | N | 14 | $+2$ |
| L | 12 | J | 10 | $-2$ |
| E | 5 | C | 3 | $-2$ |
| R | 18 | P | 16 | $-2$ |
From the table, we can observe the pattern:
Now, we apply the same rule to the word 'DOCILE'. The letters in 'DOCILE' are D, O, C, I, L, E.
| Original Letter | Position | Operation | New Position | Coded Letter |
|---|---|---|---|---|
| D | 4 | $+2$ | $4+2=6$ | F |
| O | 15 | $+2$ | $15+2=17$ | Q |
| C | 3 | $+2$ | $3+2=5$ | E |
| I | 9 | $-2$ | $9-2=7$ | G |
| L | 12 | $-2$ | $12-2=10$ | J |
| E | 5 | $-2$ | $5-2=3$ | C |
Applying the rule, 'DOCILE' is encoded as 'FQEGJC'.
Let's compare our result 'FQEGJC' with the given options:
Our encoded word 'FQEGJC' matches option 3.
Understanding different types of code language patterns is important for solving such questions. Here are a few common types:
| Pattern Type | Description | Example |
|---|---|---|
| Letter Shifting | Letters are shifted by a fixed number of positions forward or backward in the alphabet. The shift can be constant or vary based on position. | A $\to$ C ($+2$), B $\to$ D ($+2$) |
| Reverse Ordering | The letters of the word are written in reverse order. | CAT $\to$ TAC |
| Mixed Shifting | A combination of forward and backward shifting, or varying shift amounts for different letters or groups of letters, as seen in this problem. | First half +N, Second half -M |
| Letter Substitution | Each letter is replaced by another specific letter or symbol, not necessarily based on alphabetical position. | A $\to$ Z, B $\to$ Y (Reverse Alphabet) |
Code language questions are a common type of logical reasoning problem. They test your ability to identify patterns and rules based on the relationship between the original and encoded forms of words or numbers.
Key steps to solve encoding problems:
Practice with different examples helps in quickly identifying various encoding patterns.
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