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Question

In a certain code language, ‘BEAK’ is coded as ‘4392’ and ‘RAKE’ is coded as ‘9034’. What is the code for ‘B’ in the given code language?

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

2

Solving the Code Language Puzzle: Finding the Code for 'B'

This problem involves a simple substitution-based code language. We are given two words and their corresponding codes, and we need to determine the code for a specific letter, 'B', based on the patterns observed in the given examples.

Analyzing the Given Coded Words

We are provided with the following information:

  • The word 'BEAK' is coded as '4392'.
  • The word 'RAKE' is coded as '9034'.

We need to find the code assigned to the letter 'B'.

Identifying the Coding Pattern

Let's look at the letters in each word and the digits in their respective codes:

  • Letters in 'BEAK': B, E, A, K
  • Digits in 'BEAK' code: 4, 3, 9, 2
  • Letters in 'RAKE': R, A, K, E
  • Digits in 'RAKE' code: 9, 0, 3, 4

We need to figure out which letter corresponds to which digit. Let's look for common letters and common digits.

Comparing Common and Unique Elements

The letters common to both 'BEAK' and 'RAKE' are 'A', 'K', and 'E'.

The digits that appear in both 'BEAK''s code (4392) and 'RAKE''s code (9034) are '9', '3', and '4'.

This suggests that the letters {A, K, E} are mapped to the digits {9, 3, 4} in some order.

Now, let's consider the letters and digits that are unique to each word/code pair:

  • The letter 'B' is in 'BEAK' but not in 'RAKE'.
  • The letter 'R' is in 'RAKE' but not in 'BEAK'.
  • The digit '2' is in 'BEAK''s code (4392) but not in 'RAKE''s code (9034).
  • The digit '0' is in 'RAKE''s code (9034) but not in 'BEAK''s code (4392).

Based on this observation, it is highly likely that the unique letter in one word corresponds to the unique digit in its code when compared to the other word/code pair. Therefore:

  • The letter 'B' is unique to 'BEAK', and the digit '2' is unique to 'BEAK''s code. This suggests that 'B' is coded as '2'.
  • The letter 'R' is unique to 'RAKE', and the digit '0' is unique to 'RAKE''s code. This suggests that 'R' is coded as '0'.

The remaining letters {A, K, E} must then be coded using the remaining digits {9, 3, 4}. We don't need to figure out the exact mapping for A, K, and E to answer the question about the code for 'B'.

Conclusion for the Code of 'B'

Following the pattern of unique letters mapping to unique digits, we have determined that the code for 'B' is '2'.

Word Code Letters Digits Unique Letter (vs other word) Unique Digit (vs other code) Inferred Mapping
BEAK 4392 B, E, A, K 4, 3, 9, 2 B 2 B <--> 2
RAKE 9034 R, A, K, E 9, 0, 3, 4 R 0 R <--> 0

The code for 'B' is 2.

Revision Table: Key Concepts in Code Language

Concept Description Example Types
Letter Coding Letters are replaced by other letters, numbers, or symbols. Alphabet shifts, Letter-to-Number, Substitution
Number Coding Words are coded as numbers based on letter positions or other rules. Sum of positions, Product of positions, Pattern-based number assignment
Substitution Coding Specific words or letters are assigned substitute words or symbols. "Sky is blue" is coded as "blue is sky" (example type), letter-to-digit as seen here

Additional Information: Approaches to Letter Coding Problems

When tackling letter coding or coding-decoding problems in reasoning sections, consider these common approaches:

  • Alphabet Position: Map letters to their positions (A=1, B=2, ... Z=26). Codes might involve these numbers or simple arithmetic on them.
  • Alphabet Shift: Each letter is shifted by a fixed number of positions forward or backward in the alphabet (e.g., A becomes C, B becomes D).
  • Direct Substitution: Each letter is assigned a unique code (another letter, number, or symbol), which remains consistent. The pattern in this problem is an example of direct letter-to-digit substitution, deduced by comparing common and unique elements.
  • Reverse Alphabet Position: Map letters to positions starting from the end (A=26, B=25, ... Z=1).
  • Mixed Logic: Some codes might combine different types of logic, such as shifting for consonants and position numbers for vowels.

Always look for patterns by comparing the letters of the word with the elements of the code. Common elements between multiple examples often provide the key to cracking the code.

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Important Questions from Coding Letters of a Word

  1. In a certain code language, ‘DESK’ is coded as ‘@#+%’ and ‘RAIN’ is coded as ‘$-×*’. How will ‘RISK’ be coded in that language?

  2. In a certain code, FORMAT is coded as CLOJXQ, then how is FONT coded in the same way ?

  3. If RAYMOND is written as 2795431 and OLD as 461, how will DALMO be written ?

  4. In a certain code language, 'TWO' is coded as '3' and 'FIVE' is coded as '4'. How will 'EIGHT' be coded in that language ?

  5. In a certain code language, 'DICTIONARY' is coded as '20' and 'MOBILITY' is coded as '16'. How will 'TERMINATION' be coded in that language?

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