In a certain language, FUTILE is written as EGTVSUHJKMDF. How will HELPFUL be written in that language?
GIDFKMOQEGTVKM
Coding-decoding is a common type of question in logical reasoning tests. It involves deciphering a pattern or rule used to convert a word, number, or sequence into a different form (the code). Once the pattern is identified, it is applied to another given word or sequence to find its coded form, or vice-versa.
The problem states that in a certain language, the word FUTILE is written as EGTVSUHJKMDF. We need to find the pattern that transforms FUTILE into EGTVSUHJKMDF.
Let's examine the relationship between each letter of FUTILE and the corresponding letters in EGTVSUHJKMDF. The word FUTILE has 6 letters, while the code EGTVSUHJKMDF has 12 letters. This suggests that each letter in the original word is likely represented by two letters in the code.
Let's look at the first letter of FUTILE, which is F. The first two letters of the code are EG. How are F, E, and G related?
So, it seems the letter F is coded as its preceding and succeeding letters, EG.
Let's check this pattern with the other letters of FUTILE:
Combining the pairs for each letter (F→EG, U→TV, T→SU, I→HJ, L→KM, E→DF) gives EGTVSUHJKMDF, which is the given code for FUTILE.
The pattern is clear: Each letter in the original word is replaced by two letters in the code – the letter immediately preceding it and the letter immediately succeeding it in the English alphabet sequence.
Now we apply this same pattern to the word HELPFUL:
Concatenating the coded pairs for each letter of HELPFUL:
H → GI
E → DF
L → KM
P → OQ
F → EG
U → TV
L → KM
Putting these together, we get: GIDFKMOQEGTVKM.
Let's compare our derived code GIDFKMOQEGTVKM with the given options:
Option 1: GIDFKMOQEGTVVMN
Option 2: IJDFKMOQEGTVKM
Option 3: GIDFKMOQEGTVKM
Option 4: GIDFKMQREGTVKM
Our derived code GIDFKMOQEGTVKM exactly matches Option 3.
| Word | Code | Pattern |
|---|---|---|
| FUTILE | EGTVSUHJKMDF | Each letter → (Preceding Letter)(Succeeding Letter) |
| HELPFUL | GIDFKMOQEGTVKM | Applying the same pattern |
| Concept | Description | Application Here |
|---|---|---|
| Coding-Decoding | Finding a pattern in converting words/numbers to codes. | Problem type. |
| Letter Coding | Pattern based on alphabetical position or substitution. | The pattern involves adjacent letters. |
| Pattern Identification | Analyzing the relationship between the original and coded forms. | Comparing FUTILE and EGTVSUHJKMDF letter by letter. |
| Pattern Application | Using the identified pattern for a new word. | Applying the (preceding, succeeding) pattern to HELPFUL. |
Coding-decoding problems can follow various patterns. Some common types include:
Solving coding-decoding questions requires careful observation and analysis to identify the specific rule or pattern applied in the given example.
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