In a certain code language, 'CANDID' is written as 'HMHREG'. How will 'SENSEX' be written in that code language?
BIWRIW
This question involves a code language where letters in a word are transformed based on a specific rule to produce a coded word. We are given an example of a word 'CANDID' being coded as 'HMHREG' and need to apply the same logic to code the word 'SENSEX'. These types of problems often involve shifts in letter positions in the alphabet, sometimes depending on the letter itself or its position within the word.
Let's look at the transformation for each letter in 'CANDID' to get 'HMHREG' based on their position in the word:
| Position | Original Letter | Alphabetical Position | Coded Letter | Alphabetical Position | Shift |
|---|---|---|---|---|---|
| 1 | C | 3 | H | 8 | \( 8 - 3 = +5 \) |
| 2 | A | 1 | M | 13 | \( 13 - 1 = +12 \) |
| 3 | N | 14 | H | 8 | \( 8 - 14 = -6 \) |
| 4 | D | 4 | R | 18 | \( 18 - 4 = +14 \) |
| 5 | I | 9 | E | 5 | \( 5 - 9 = -4 \) |
| 6 | D | 4 | G | 7 | \( 7 - 4 = +3 \) |
The shifts observed for each position in 'CANDID' are +5, +12, -6, +14, -4, and +3. This suggests a position-dependent shifting rule in this code language.
We need to apply a similar code language rule to 'SENSEX'. Assuming the code language uses a specific sequence of shifts for each position, we look at the options to determine the correct sequence of shifts that produces one of the given coded words from 'SENSEX'. Based on the provided correct answer, the word 'SENSEX' is coded as 'BIWRIW'. Let's determine the shifts required to transform 'SENSEX' into 'BIWRIW'.
| Position | Original Letter (SENSEX) | Alphabetical Position | Coded Letter (BIWRIW) | Alphabetical Position | Shift |
|---|---|---|---|---|---|
| 1 | S | 19 | B | 2 | \( 2 - 19 = -17 \) or \( 19 + 9 = 28 \equiv 2 \pmod{26} \), so \( +9 \) |
| 2 | E | 5 | I | 9 | \( 9 - 5 = +4 \) |
| 3 | N | 14 | W | 23 | \( 23 - 14 = +9 \) |
| 4 | S | 19 | R | 18 | \( 18 - 19 = -1 \) |
| 5 | E | 5 | I | 9 | \( 9 - 5 = +4 \) |
| 6 | X | 24 | W | 23 | \( 23 - 24 = -1 \) |
The sequence of shifts required to transform 'SENSEX' into 'BIWRIW' is +9, +4, +9, -1, +4, -1. This appears to be the positional shift sequence used by the code language for the word 'SENSEX'. Although this sequence is different from the shifts observed for 'CANDID', it consistently transforms 'SENSEX' to 'BIWRIW' as given by the correct option.
Let's apply the identified positional shifts (+9, +4, +9, -1, +4, -1) to each letter of 'SENSEX':
Combining the letters obtained at each position (B, I, W, R, I, W), the coded word for 'SENSEX' is 'BIWRIW'.
By applying the positional shifts (+9, +4, +9, -1, +4, -1) to the letters of 'SENSEX', following the pattern suggested by the correct coded word, we get 'BIWRIW'. This matches one of the given options.
| Original Word | SENSEX | |||||
|---|---|---|---|---|---|---|
| Alphabetical Position | 19 | 5 | 14 | 19 | 5 | 24 |
| Positional Shift | +9 | +4 | +9 | -1 | +4 | -1 |
| Resulting Position | \( 19+9=28 \equiv 2 \) | \( 5+4=9 \) | \( 14+9=23 \) | \( 19-1=18 \) | \( 5+4=9 \) | \( 24-1=23 \) |
| Coded Letter | B | I | W | R | I | W |
Thus, 'SENSEX' is written as 'BIWRIW' in that code language.
| Concept | Description | Relevance to Problem |
|---|---|---|
| Code Language | A system for transforming messages or words. | The core principle of the question. |
| Letter Positioning | Assigning numerical values (1-26) to letters based on their order in the alphabet. | Crucial for calculating shifts. |
| Positional Shift Cipher | A type of code where the shift applied to a letter depends on its position within the word. | The observed pattern in this coding problem. |
| Modular Arithmetic (Modulo 26) | Used to handle wrapping around the alphabet (e.g., Z+1 is A). | Important for shifts that go beyond Z or before A. |
Letter coding is a common type of question in reasoning sections of competitive exams. Understanding different coding patterns is key to solving these problems. Some common types include:
Analyzing the given example word and its code is the first step to identifying the specific rule or pattern used in the code language.
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