In a certain code language, 'PLANNED' is written as 'RNCNPGF' and 'PROMOTE' is written as 'RTQMQVG'. How will 'IMPROVE' be written in that language?
KORRQXG
Understanding Coding Decoding and Letter Patterns
This question is a classic example of a coding-decoding problem, specifically letter coding. In these types of problems, a word is coded into another word based on a specific pattern or rule. We need to identify this pattern by analyzing the given examples and then apply it to the new word to find its code.
Analyzing the Given Coding Patterns
We are given two examples of coded words:
- 'PLANNED' is coded as 'RNCNPGF'.
- 'PROMOTE' is coded as 'RTQMQVG'.
Let's examine the transformation for each letter in the first example, 'PLANNED' to 'RNCNPGF', by looking at their positions in the English alphabet (A=1, B=2, ..., Z=26):
| Original Letter | Position | Coded Letter | Position | Change |
|---|---|---|---|---|
| P | \(16\) | R | \(18\) | \(18 - 16 = +2\) |
| L | \(12\) | N | \(14\) | \(14 - 12 = +2\) |
| A | \(1\) | C | \(3\) | \(3 - 1 = +2\) |
| N | \(14\) | N | \(14\) | \(14 - 14 = +0\) |
| N | \(14\) | P | \(16\) | \(16 - 14 = +2\) |
| E | \(5\) | G | \(7\) | \(7 - 5 = +2\) |
| D | \(4\) | F | \(6\) | \(6 - 4 = +2\) |
From the first example, the pattern seems to be adding 2 to the alphabetical position of each letter, except for the 4th letter which remains unchanged (adding 0). Let's verify this pattern with the second example, 'PROMOTE' to 'RTQMQVG':
| Original Letter | Position | Coded Letter | Position | Change |
|---|---|---|---|---|
| P | \(16\) | R | \(18\) | \(18 - 16 = +2\) |
| R | \(18\) | T | \(20\) | \(20 - 18 = +2\) |
| O | \(15\) | Q | \(17\) | \(17 - 15 = +2\) |
| M | \(13\) | M | \(13\) | \(13 - 13 = +0\) |
| O | \(15\) | Q | \(17\) | \(17 - 15 = +2\) |
| T | \(20\) | V | \(22\) | \(22 - 20 = +2\) |
| E | \(5\) | G | \(7\) | \(7 - 5 = +2\) |
The pattern holds true for the second example as well: add 2 to the position of each letter, except the 4th letter which gets +0.
Applying the Pattern to 'IMPROVE'
Now we apply the identified pattern (+2 for all letters except the 4th, which is +0) to the word 'IMPROVE':
| Original Letter | Position | Change | New Position | Coded Letter |
|---|---|---|---|---|
| I | \(9\) | \(+2\) | \(9 + 2 = 11\) | K |
| M | \(13\) | \(+2\) | \(13 + 2 = 15\) | O |
| P | \(16\) | \(+2\) | \(16 + 2 = 18\) | R |
| R | \(18\) | \(+0\) (4th letter) | \(18 + 0 = 18\) | R |
| O | \(15\) | \(+2\) | \(15 + 2 = 17\) | Q |
| V | \(22\) | \(+2\) | \(22 + 2 = 24\) | X |
| E | \(5\) | \(+2\) | \(5 + 2 = 7\) | G |
Following the pattern, 'IMPROVE' is coded as 'KORRQXG'.
Comparing with Options
Let's compare our result with the given options:
- Option 1: KORTQXG (Differs at the 4th letter)
- Option 2: KORRQXG (Matches our result)
- Option 3: KOQRQXG (Differs at the 3rd letter)
- Option 4: KORTOXG (Differs at the 4th and 6th letters)
Our derived code 'KORRQXG' matches Option 2.
Conclusion
Based on the consistent pattern observed in the given coded words, 'IMPROVE' is coded as 'KORRQXG'.
Revision Table: Key Concepts
| Concept | Description |
|---|---|
| Coding-Decoding | Problems where words, letters, or numbers are coded according to a specific rule. |
| Letter Coding | A type of coding-decoding where letters are replaced by other letters or symbols based on a pattern (e.g., shift in alphabet position, pattern of addition/subtraction). |
| Pattern Identification | The crucial step of finding the rule or logic that transforms the original word into the coded word. This is usually done by comparing the positions of letters or applying mathematical operations. |
| Alphabet Position | Assigning a numerical value to each letter based on its order in the alphabet (A=1, B=2, ...). This helps in identifying mathematical patterns. |
Additional Information: Tips for Solving Coding-Decoding Problems
- Write down the original word and the coded word one below the other to easily compare letters.
- Assign alphabetical positions to each letter to identify numerical patterns (+/- shifts).
- Look for patterns based on position within the word (e.g., first letter, last letter, middle letter, alternate letters).
- Consider reverse alphabetical order or other non-linear patterns if simple shifts are not apparent.
- Practice with various types of coding to become familiar with common patterns.
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?
