Understanding the Coding Decoding Logic

This question involves a coding-decoding problem where words are represented by numerical codes. We need to decipher the logic behind the given codes for 'CUT' and 'CAN' to find the code for 'HIT'. These types of problems often rely on the alphabetical positions of letters or other positional values.

Analysing the Given Codes

We are given:

• 'CUT' is coded as '52322'.
• 'CAN' is coded as '5316'.

Let's look at the letter positions in the English alphabet:

• A = 1, B = 2, C = 3, ..., H = 8, I = 9, ..., N = 14, ..., T = 20, U = 21, ...

Comparing the letters and their corresponding numerical codes:

Identifying the Pattern

Let's try to find a relationship between the alphabetical positions and the numerical code for each letter.

• For 'CUT': C(3), U(21), T(20) is coded as 52322. Let's look at the digits: 5, 23, 22.
• For 'CAN': C(3), A(1), N(14) is coded as 5316. Let's look at the digits: 5, 3, 16.

Let's compare the positions and the code digits:

• C (position 3) corresponds to 5. This could be \(3 + 2 = 5\).
• U (position 21) corresponds to 23. This could be \(21 + 2 = 23\).
• T (position 20) corresponds to 22. This could be \(20 + 2 = 22\).
• A (position 1) corresponds to 3. This could be \(1 + 2 = 3\).
• N (position 14) corresponds to 16. This could be \(14 + 2 = 16\).

It appears that the coding pattern is: The numerical code for each letter is its position in the alphabet plus 2. These resulting numbers are then concatenated to form the word's code.

Applying the Coding Pattern to 'HIT'

Now, let's apply this pattern to the word 'HIT'. The alphabetical positions of the letters in 'HIT' are:

• H = 8
• I = 9
• T = 20

Applying the pattern (position + 2) to each letter:

• H: Position 8 $\rightarrow$ \(8 + 2 = 10\)
• I: Position 9 $\rightarrow$ \(9 + 2 = 11\)
• T: Position 20 $\rightarrow$ \(20 + 2 = 22\)

Concatenating these resulting numbers (10, 11, 22) gives the code for 'HIT'.

Code for 'HIT' = 101122.

Comparing with Options

Let's check if our derived code matches any of the given options:

1. 101122
2. 101222
3. 101123
4. 101132

Our calculated code, 101122, matches Option 1.

Conclusion

The code for 'HIT' in this language is 101122.

Revision Table: Coding-Decoding Pattern Summary

Additional Information: Types of Coding-Decoding

Coding and decoding questions are common in reasoning sections of competitive exams. They test your ability to identify patterns and apply them. Common types include:

• Letter Coding: Letters are replaced by other letters based on a specific rule (e.g., shifting positions in the alphabet).
• Number Coding: Words are coded using numbers. The logic can be based on letter positions, number of letters, or other calculations.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: Words from different sentences are given with their codes, and you need to find the code for a specific word.

Solving these problems requires careful observation, pattern identification, and logical deduction.