In a certain code language, ‘HAPPY’ is written as ‘JCRRA’ and ‘MAGIC’ is written as ‘OCIKE’. How will ‘LEVEL’ be written in that language?
NGXGN
This question asks us to find the code for the word 'LEVEL' based on the coding pattern used for 'HAPPY' and 'MAGIC'. These types of questions test our ability to identify logical rules applied to transform words.
We are given two examples of words and their coded forms:
We need to find the rule that transforms the letters in the original word to the letters in the coded word.
Let's look at the alphabetical position of each letter in the original words and their corresponding letters in the coded words. We can think of A=1, B=2, C=3, and so on, up to Z=26.
| Original Word (HAPPY) | Position | Coded Word (JCRRA) | Position | Difference |
|---|---|---|---|---|
| H | 8 | J | 10 | $10 - 8 = +2$ |
| A | 1 | C | 3 | $3 - 1 = +2$ |
| P | 16 | R | 18 | $18 - 16 = +2$ |
| P | 16 | R | 18 | $18 - 16 = +2$ |
| Y | 25 | A | 1 | $(1 + 26) - 25 = +2$ (Wrapping around Z) |
| Original Word (MAGIC) | Position | Coded Word (OCIKE) | Position | Difference |
|---|---|---|---|---|
| M | 13 | O | 15 | $15 - 13 = +2$ |
| A | 1 | C | 3 | $3 - 1 = +2$ |
| G | 7 | I | 9 | $9 - 7 = +2$ |
| I | 9 | K | 11 | $11 - 9 = +2$ |
| C | 3 | E | 5 | $5 - 3 = +2$ |
From both examples, it is clear that each letter in the original word is shifted 2 places forward in the alphabet to get the corresponding letter in the coded word. When the shift goes beyond 'Z', we wrap around to 'A'.
Now, let's apply this rule (adding +2 to the letter position) to each letter in the word 'LEVEL'.
So, by applying the +2 shift to each letter of 'LEVEL', we get 'NGXGN'.
Based on the coding pattern identified from the examples 'HAPPY' -> 'JCRRA' and 'MAGIC' -> 'OCIKE', which involves shifting each letter 2 positions forward in the alphabet (with wrap-around from Z to A), the word 'LEVEL' is coded as 'NGXGN'.
Understanding the basics of letter positioning and common coding techniques is crucial for these questions.
| Concept | Description | Example Technique |
|---|---|---|
| Letter Positioning | Assigning numerical values to letters (A=1, B=2, ... Z=26) | Used to identify shifts in position |
| Shifting (Caesar Cipher) | Moving each letter a fixed number of positions forward or backward in the alphabet | '+2' shift as seen in this problem |
| Substitution | Replacing each letter with another letter or symbol based on a rule | Can be a simple shift or a mixed alphabet |
| Position Reversal | Coding letters based on their position from the end of the alphabet (A=26, B=25, ... Z=1) | Often combined with other shifts |
Coding and decoding questions are a common part of logical reasoning sections in various exams. They assess your analytical skills and ability to spot patterns. Common patterns include:
Practicing with different types of coding patterns helps improve speed and accuracy in identifying the underlying logic.
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