In a certain code, FORMAT is coded as CLOJXQ, then how is FONT coded in the same way ?
CLKQ
Understanding Coding-Decoding Patterns
This question involves a common type of coding-decoding puzzle where letters are shifted a fixed number of positions forward or backward in the alphabet. We are given a coded pair, FORMAT coded as CLOJXQ, and we need to use this information to find the code for FONT.
Decoding FORMAT to CLOJXQ
Let's analyze the relationship between each letter in the word FORMAT and its corresponding letter in the code CLOJXQ. We can look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26).
- F is the 6th letter, C is the 3rd letter. Difference: \(3 - 6 = -3\).
- O is the 15th letter, L is the 12th letter. Difference: \(12 - 15 = -3\).
- R is the 18th letter, O is the 15th letter. Difference: \(15 - 18 = -3\).
- M is the 13th letter, J is the 10th letter. Difference: \(10 - 13 = -3\).
- A is the 1st letter, X is the 24th letter. To get from A to X by shifting backward, we go A → Z → Y → X. This is a shift of 3 positions backward. Difference: \(24 - 1 = -3\) (considering the alphabet wraps around).
- T is the 20th letter, Q is the 17th letter. Difference: \(17 - 20 = -3\).
From this analysis, we can see a consistent pattern: each letter in the word FORMAT is shifted 3 positions backward in the alphabet to get the corresponding letter in the code CLOJXQ.
| Original Letter | Position | Shift | New Position | Coded Letter |
|---|---|---|---|---|
| F | 6 | -3 | 3 | C |
| O | 15 | -3 | 12 | L |
| R | 18 | -3 | 15 | O |
| M | 13 | -3 | 10 | J |
| A | 1 | -3 | 24 (1 - 3 = -2 ≡ 26 - 2 = 24) | X |
| T | 20 | -3 | 17 | Q |
Applying the Code to FONT
Now that we have identified the rule (shift each letter 3 positions backward), we can apply this rule to the word FONT to find its code.
- F: Shift F (6th letter) 3 positions backward. \(6 - 3 = 3\). The 3rd letter is C.
- O: Shift O (15th letter) 3 positions backward. \(15 - 3 = 12\). The 12th letter is L.
- N: Shift N (14th letter) 3 positions backward. \(14 - 3 = 11\). The 11th letter is K.
- T: Shift T (20th letter) 3 positions backward. \(20 - 3 = 17\). The 17th letter is Q.
| Original Letter | Position | Shift | New Position | Coded Letter |
|---|---|---|---|---|
| F | 6 | -3 | 3 | C |
| O | 15 | -3 | 12 | L |
| N | 14 | -3 | 11 | K |
| T | 20 | -3 | 17 | Q |
Combining the coded letters, FONT is coded as CLKQ.
Final Answer Derivation
Based on the consistent pattern of shifting each letter 3 positions backward, the code for FONT is CLKQ.
Revision Table: Coding-Decoding Concepts
| Concept | Description | Example |
|---|---|---|
| Letter Shifting | Each letter is moved a fixed number of positions forward or backward in the alphabet. | A → D (Shift +3), Z → W (Shift -3) |
| Alphabet Position | Assigning numerical values (1-26) to letters to identify patterns. | A=1, B=2, ..., Z=26 |
| Pattern Recognition | Identifying the rule or logic applied to transform the original word into the coded word. | Consistent shift, reversal, substitution, etc. |
Additional Information: Types of Coding
Coding-decoding questions can involve various patterns. Some common types include:
- Letter Coding: Patterns based on letter positions, shifting, or specific substitutions (like in this problem).
- Number Coding: Words coded into numbers based on letter positions or counts.
- Symbol Coding: Words coded using symbols.
- Mixed Coding: A mix of letters, numbers, and symbols.
- Jumbled Letters: Letters within a word are rearranged according to a rule.
- Chinese Coding: Sentences are coded using artificial language, where specific words correspond to specific codes across multiple sentences.
Successfully solving these problems depends on carefully observing the given example(s) and deducing the underlying rule or pattern.
Important Questions from Coding Letters of a Word
In a certain code language, ‘DESK’ is coded as ‘@#+%’ and ‘RAIN’ is coded as ‘$-×*’. How will ‘RISK’ be coded in that language?
If RAYMOND is written as 2795431 and OLD as 461, how will DALMO be written ?
In a certain code language, 'TWO' is coded as '3' and 'FIVE' is coded as '4'. How will 'EIGHT' be coded in that language ?
In a certain code language, 'DICTIONARY' is coded as '20' and 'MOBILITY' is coded as '16'. How will 'TERMINATION' be coded in that language?
In a certain code language, 'FAMILY' is written as 'QXBJSD'. How will 'FILMY' be written in that language?
