In a certain code, the word COMPAQ is written as DQNRBS and SONY is written as TQOA. In the same code, how is MOTOROLA written?
Understanding the Coding Decoding Pattern
This problem is a classic example of a coding-decoding question where a specific pattern is used to transform a word into a code. We are given two examples of words and their corresponding codes to help us decipher the rule. Once the rule is identified, we apply it to find the code for the target word.
Analyzing the First Example: COMPAQ to DQNRBS
Let's examine the transformation of each letter in the word COMPAQ to its corresponding letter in the code DQNRBS.
| Original Letter | Coded Letter | Difference |
|---|---|---|
| C | D | C → D (Shift of +1) |
| O | Q | O → P → Q (Shift of +2) |
| M | N | M → N (Shift of +1) |
| P | R | P → Q → R (Shift of +2) |
| A | B | A → B (Shift of +1) |
| Q | S | Q → R → S (Shift of +2) |
From this analysis, a clear pattern emerges: the shifts alternate between adding 1 and adding 2 to the position of each letter in the alphabet.
Analyzing the Second Example: SONY to TQOA
Let's verify this pattern with the second example, SONY to TQOA.
| Original Letter | Coded Letter | Difference |
|---|---|---|
| S | T | S → T (Shift of +1) |
| O | Q | O → P → Q (Shift of +2) |
| N | O | N → O (Shift of +1) |
| Y | A | Y → Z → A (Shift of +2, wrapping around the alphabet) |
The second example confirms the pattern: alternate shifts of +1 and +2.
Applying the Pattern to MOTOROLA
Now we apply the identified pattern (+1, +2, +1, +2, ...) to the word MOTOROLA.
| Original Letter | Shift | Coded Letter |
|---|---|---|
| M | +1 | N |
| O | +2 | Q |
| T | +1 | U |
| O | +2 | Q |
| R | +1 | S |
| O | +2 | Q |
| L | +1 | M |
| A | +2 | C |
Applying the pattern to each letter of MOTOROLA, we get the coded word NQUQSQMC.
Conclusion
Based on the consistent pattern observed in the given examples, the word MOTOROLA is coded as NQUQSQMC.
This matches option 3.
Revision Table: Coding Decoding Analysis
Reviewing the steps taken to solve this coding problem:
- Analyzed the pattern for COMPAQ → DQNRBS.
- Analyzed the pattern for SONY → TQOA.
- Identified the consistent +1, +2 letter shift pattern.
- Applied the pattern to the target word MOTOROLA.
- Determined the final coded word as NQUQSQMC.
Additional Information: Types of Coding Decoding
Coding-decoding questions are common in competitive exams and test logical reasoning skills. Some common types include:
- Letter Coding: Letters are replaced by other letters based on a specific rule (like in this problem).
- Number Coding: Words or letters are represented by numbers.
- Symbol Coding: Letters or words are replaced by symbols.
- Mixed Coding: A combination of letter, number, or symbol coding.
- Substitution: Words are substituted with other words (e.g., 'sky is called blue', 'blue is called water').
Understanding the basic types and practicing pattern recognition is key to mastering coding-decoding problems.
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