In a certain code language, ‘FIGURE’ is written as ‘DJEVPF’. How will ‘DECODE’ be written as in that language?
BFAPBF
Let's analyze the coding pattern used to transform 'FIGURE' into 'DJEVPF'. This is a common type of coding-decoding question where each letter in the original word is changed to another letter based on a specific rule.
We compare the letters of the word 'FIGURE' with the letters of the code word 'DJEVPF' based on their positions in the English alphabet.
| Original Letter | Alphabetical Position | Coded Letter | Alphabetical Position | Difference/Rule |
|---|---|---|---|---|
| F | 6 | D | 4 | 4 - 6 = -2 |
| I | 9 | J | 10 | 10 - 9 = +1 |
| G | 7 | E | 5 | 5 - 7 = -2 |
| U | 21 | V | 22 | 22 - 21 = +1 |
| R | 18 | P | 16 | 16 - 18 = -2 |
| E | 5 | F | 6 | 6 - 5 = +1 |
Observing the differences in alphabetical positions, we can see a clear pattern: -2, +1, -2, +1, -2, +1. The rule is to alternately subtract 2 and add 1 to the alphabetical position of each letter to get the coded letter's position.
Now, let's apply this established coding rule (-2, +1, -2, +1, -2, +1) to the word 'DECODE'.
| Original Letter | Alphabetical Position | Rule | Calculation | New Position | Coded Letter |
|---|---|---|---|---|---|
| D | 4 | -2 | 4 - 2 = 2 | 2 | B |
| E | 5 | +1 | 5 + 1 = 6 | 6 | F |
| C | 3 | -2 | 3 - 2 = 1 | 1 | A |
| O | 15 | +1 | 15 + 1 = 16 | 16 | P |
| D | 4 | -2 | 4 - 2 = 2 | 2 | B |
| E | 5 | +1 | 5 + 1 = 6 | 6 | F |
By applying the -2, +1 sequence rule to each letter of 'DECODE', we get the coded letters B, F, A, P, B, F.
Therefore, 'DECODE' will be written as 'BFAPBF' in this code language.
Let's compare our result with the given options:
Our calculated coded word 'BFAPBF' matches option 3.
| Original Word | Coded Word | Coding Rule Identified |
|---|---|---|
| FIGURE | DJEVPF | Alternate -2, +1 shift in alphabetical position |
| DECODE | BFAPBF | Applied the same alternate -2, +1 shift |
Coding and decoding questions test your ability to decipher a hidden pattern or rule. Common types include:
To solve these questions, you need to carefully observe the relationship between the original words and their coded forms, identify the rule, and then apply it to the word you need to code or decode.
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