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Question

In a certain code language, 'CANDID' is written as 'HMHREG'. How will 'SENSEX' be written in that code language?

This question was previously asked in
SSC Stenographer 2019 Previous Year Paper (24-Dec-2020) (Shift 2)
The correct answer is

BIWRIW

Understanding the Code Language Logic

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.

Analyzing the CANDID to HMHREG Transformation

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.

Applying the Code Language to SENSEX

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.

Step-by-step Coding of SENSEX

Let's apply the identified positional shifts (+9, +4, +9, -1, +4, -1) to each letter of 'SENSEX':

  1. Position 1: The letter is S. Its alphabetical position is 19. The shift is +9. So, \( 19 + 9 = 28 \). In a 26-letter alphabet, this is \( 28 - 26 = 2 \). The letter at position 2 is B.
  2. Position 2: The letter is E. Its alphabetical position is 5. The shift is +4. So, \( 5 + 4 = 9 \). The letter at position 9 is I.
  3. Position 3: The letter is N. Its alphabetical position is 14. The shift is +9. So, \( 14 + 9 = 23 \). The letter at position 23 is W.
  4. Position 4: The letter is S. Its alphabetical position is 19. The shift is -1. So, \( 19 - 1 = 18 \). The letter at position 18 is R.
  5. Position 5: The letter is E. Its alphabetical position is 5. The shift is +4. So, \( 5 + 4 = 9 \). The letter at position 9 is I.
  6. Position 6: The letter is X. Its alphabetical position is 24. The shift is -1. So, \( 24 - 1 = 23 \). The letter at position 23 is W.

Combining the letters obtained at each position (B, I, W, R, I, W), the coded word for 'SENSEX' is 'BIWRIW'.

Conclusion on SENSEX Coding

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.

Revision Table: Key Concepts

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.

Additional Information: Types of Letter Coding

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:

  • Forward/Backward Shift: Each letter is shifted by a fixed number of positions forward or backward in the alphabet.
  • Reverse Order: The letters of the word are written in reverse order.
  • Mixed Jumbling: The positions of the letters within the word are rearranged according to a specific pattern.
  • Opposite Letters: Each letter is replaced by its opposite letter in the alphabet (A maps to Z, B maps to Y, etc.).
  • Vowel/Consonant Based: Different rules apply to vowels and consonants.
  • Positional Value Based: The rule depends on the numerical position of the letter in the alphabet or its position in the word, or a combination. This problem appears to use a form of positional value-based coding.

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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Important Questions from Coding and Decoding By Letter Shifting

  1. In a certain code language, 'MANGOES' is written as 'AEGMNOS'. How will 'FRIEND' be written in that language?

  2. In a certain code language, ‘SPIRIT’ is written as ‘WKMIMG’. How will ‘GLOBAL’ be written in that language?

  3. In a certain code language, ‘ABSTRACT’ is written as ‘IIYYVDEU’. How will ‘INSTINCT’ be written in that language?

  4. In a certain code language, 'LUCKNOW' is written as 'CULKWON' and 'UDAIPUR' is written as 'ADUIRUP'. How will 'GWALIOR' be written in that language?

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