Understanding Coding Decoding in Code Language

This question involves a type of coding-decoding problem where letters are assigned specific numerical codes. We are given the codes for two words, 'PARK' and 'RACE', and asked to find the code for 'CARE' in the same code language.

Analyzing the Given Codes

We are given the following information:

• 'PARK' is coded as '3749'
• 'RACE' is coded as '4762'

By comparing the letters and their positions in the words and their respective codes, we can deduce the code assigned to each individual letter.

Deducing Letter Codes

Let's analyze the codes word by word:

From 'PARK' is '3749':

• The first letter 'P' corresponds to the first digit '3'. So, P ⇒ 3.
• The second letter 'A' corresponds to the second digit '7'. So, A ⇒ 7.
• The third letter 'R' corresponds to the third digit '4'. So, R ⇒ 4.
• The fourth letter 'K' corresponds to the fourth digit '9'. So, K ⇒ 9.

From 'RACE' is '4762':

• The first letter 'R' corresponds to the first digit '4'. So, R ⇒ 4. (This matches the mapping from 'PARK')
• The second letter 'A' corresponds to the second digit '7'. So, A ⇒ 7. (This matches the mapping from 'PARK')
• The third letter 'C' corresponds to the third digit '6'. So, C ⇒ 6.
• The fourth letter 'E' corresponds to the fourth digit '2'. So, E ⇒ 2.

Combining the information from both words, we have the following letter-to-digit mappings:

Coding the Word 'CARE'

Now we need to find the code for the word 'CARE' using the established letter-to-digit mappings. The word 'CARE' consists of the letters C, A, R, and E.

• For the first letter 'C', the code is '6'.
• For the second letter 'A', the code is '7'.
• For the third letter 'R', the code is '4'.
• For the fourth letter 'E', the code is '2'.

Arranging the codes in the order of the letters in 'CARE', we get:

C ⇒ 6

A ⇒ 7

R ⇒ 4

E ⇒ 2

So, the code for 'CARE' is '6742'.

Comparing with Options

Let's check our derived code '6742' against the given options:

• Option 1: 6724
• Option 2: 7642
• Option 3: 7624
• Option 4: 6742

Our derived code '6742' matches Option 4.

Conclusion on Coding Decoding

Based on the coding pattern observed from 'PARK' and 'RACE', the word 'CARE' is coded as '6742'.

Revision Table: Coding Decoding

Additional Information on Code Language Reasoning

Coding-decoding questions in reasoning often involve different patterns. Some common types include:

• Letter Coding: Letters are coded using other letters based on patterns like shifting positions in the alphabet, reverse order, or skipping letters.
• Number/Symbol Coding: Letters or words are coded using numbers or symbols. This can be direct substitution (as in this problem), positional value of letters, or patterns based on the number of letters.
• Mixed Coding: Words are coded using a mix of letters, numbers, and symbols.
• Sentence Coding: Whole sentences are coded, and you need to identify the code for individual words within the sentence based on common words in multiple coded sentences.

To solve these problems, carefully observe the given examples, identify the pattern or rule, and then apply that rule to the word or phrase you need to code or decode. Direct substitution is one of the simpler patterns to identify if letters consistently map to the same code across different examples.