In a certain code language, HIDDEN is written as IJECDM. How will FELLOW be written as in that language ?
GFMKNV
Understanding the Code Language Pattern
The problem asks us to decode a pattern used in a certain code language and apply it to another word. We are given that the word HIDDEN is written as IJECDM in this code language. Let's analyze the transformation of each letter:
- H changes to I
- I changes to J
- D changes to E
- D changes to C
- E changes to D
- N changes to M
Observing the changes based on the alphabetical positions:
- H is the 8th letter, I is the 9th. Change: $+1$
- I is the 9th letter, J is the 10th. Change: $+1$
- D is the 4th letter, E is the 5th. Change: $+1$
- D is the 4th letter, C is the 3rd. Change: $-1$
- E is the 5th letter, D is the 4th. Change: $-1$
- N is the 14th letter, M is the 13th. Change: $-1$
The pattern for transforming HIDDEN to IJECDM is a shift in alphabetical position: the first three letters shift $+1$, and the last three letters shift $-1$. This is the consistent code language rule we need to apply.
Applying the Coding Pattern to FELLOW
Now, we apply the identified $+1, +1, +1, -1, -1, -1$ pattern to the word FELLOW. We will transform each letter according to its position in the word:
- For the 1st letter, F, apply $+1$ shift. F $\xrightarrow{+1}$ G
- For the 2nd letter, E, apply $+1$ shift. E $\xrightarrow{+1}$ F
- For the 3rd letter, L, apply $+1$ shift. L $\xrightarrow{+1}$ M
- For the 4th letter, L, apply $-1$ shift. L $\xrightarrow{-1}$ K
- For the 5th letter, O, apply $-1$ shift. O $\xrightarrow{-1}$ N
- For the 6th letter, W, apply $-1$ shift. W $\xrightarrow{-1}$ V
Combining the resulting letters, we get the coded word for FELLOW.
Finding the Final Coded Word for FELLOW
Following the $+1, +1, +1, -1, -1, -1$ pattern for FELLOW:
- F becomes G
- E becomes F
- L becomes M
- L becomes K
- O becomes N
- W becomes V
The coded word for FELLOW is GFMKNV.
| Original Word (HIDDEN) | Pattern | Coded Word (IJECDM) |
|---|---|---|
| H | $+1$ | I |
| I | $+1$ | J |
| D | $+1$ | E |
| D | $-1$ | C |
| E | $-1$ | D |
| N | $-1$ | M |
| Original Word (FELLOW) | Pattern | Coded Word |
|---|---|---|
| F | $+1$ | G |
| E | $+1$ | F |
| L | $+1$ | M |
| L | $-1$ | K |
| O | $-1$ | N |
| W | $-1$ | V |
The coded word is GFMKNV.
Revision Table: Code Language Summary
| Operation | Description | Example (from HIDDEN to IJECDM) |
|---|---|---|
| $+1$ Shift | Move one position forward in the alphabet. | H $\to$ I, I $\to$ J, D $\to$ E |
| $-1$ Shift | Move one position backward in the alphabet. | D $\to$ C, E $\to$ D, N $\to$ M |
| Pattern Application | Apply shifts sequentially based on letter position (e.g., $+1, +1, +1, -1, -1, -1$). | FELLOW $\to$ GFMKNV |
Additional Information: Types of Letter Coding in Reasoning
Code language and letter coding are common topics in reasoning sections of competitive exams. Understanding different patterns is key to solving these problems quickly. Here are a few common types:
- Shift Coding: Each letter is shifted by a fixed number of positions forward or backward (e.g., +2 for all letters). Or the shift might follow a pattern like in this problem (+1, +1, +1, -1, -1, -1) or an arithmetic progression (+1, +2, +3, ...).
- Reverse Letter Coding: The word is reversed, and then a shift might be applied to each letter in the reversed word.
- Alphabet Position Coding: Letters are replaced by their numerical positions in the alphabet (A=1, B=2, etc.). Sometimes operations are performed on these numbers.
- Mixed Pattern Coding: A combination of different logic, such as swapping adjacent letters and then applying a shift, or applying different shifts based on whether the letter is a vowel or a consonant.
- Opposite Letter Coding: Each letter is replaced by its opposite letter in the alphabet (A is opposite to Z, B is opposite to Y, and so on).
Identifying the specific pattern is the first step in solving any code language question. Carefully comparing the original word and the coded word letter by letter is essential.
Important Questions from Coding and Decoding By Letter Shifting
In a certain code language, 'INERTIA' is written as 'RGVKGBZ'. How will 'FLOWER' be written in that language?
In a certain code language, ‘ADVANCE’ is written as ‘VDAAECN’ and ‘BABYSIT’ is written as ‘BABYTIS’. How will ‘AFFABLE’ be written in that language?
In a certain language, CHHAPAK is coded as DJKEUGR. How will MALANGA be coded in that language?
In a certain code language, ‘DURABLES’ is written as ‘BSVETFMC’. How will ‘FEASIBLE’ be written in that language?
In a certain code language, 'FIXED' is written as 'XIFED' and 'MOUSE' is written as 'USOME'. How will 'GAMBIT' be written in that language?
