Understanding the Coding Decoding Problem

This question is a classic example of a coding decoding problem where letters are assigned specific numerical codes. We are given the codes for two words, 'FRIGHT' and 'HEAR', and we need to find the code for the word 'EAFT' using the same coding pattern.

Analyzing the Given Word Codes

Let's look at the codes provided:

• 'FRIGHT' is coded as '860432'
• 'HEAR' is coded as '3156'

We need to find the individual letter-to-number mapping by comparing the letters in the words with the corresponding digits in their codes.

Deriving the Letter-to-Number Mapping

From 'FRIGHT' $\rightarrow$ '860432', we can infer a possible mapping:

• F $\rightarrow$ 8
• R $\rightarrow$ 6
• I $\rightarrow$ 0
• G $\rightarrow$ 4
• H $\rightarrow$ 3
• T $\rightarrow$ 2

From 'HEAR' $\rightarrow$ '3156', we can infer another possible mapping:

• H $\rightarrow$ 3
• E $\rightarrow$ 1
• A $\rightarrow$ 5
• R $\rightarrow$ 6

We can see that the mapping for letters 'H' (3) and 'R' (6) is consistent across both coded words, which confirms that each letter is assigned a unique numerical digit.

Combining the mappings, we get the following list of letter-to-number codes for the letters present in the given words:

Coding the Word 'EAFT'

Now, we need to find the code for the word 'EAFT' by using the mappings we derived. Let's take each letter of 'EAFT' and find its corresponding code from the list:

• E $\rightarrow$ 1
• A $\rightarrow$ 5
• F $\rightarrow$ 8
• T $\rightarrow$ 2

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

E A F T

1 5 8 2

So, the code for 'EAFT' is '1582'.

Comparing with Options

Let's check our derived code '1582' against the given options:

• Option 1: 1568
• Option 2: 1582
• Option 3: 1528
• Option 4: 1584

Our calculated code '1582' matches Option 2.

Conclusion

By analyzing the given codes for 'FRIGHT' and 'HEAR', we established a letter-to-number mapping and used it to successfully code the word 'EAFT' as '1582'.

Revision Table: Coding Decoding Summary

Additional Information: Types of Coding Decoding

Coding decoding questions are common in various competitive exams. They test your logical reasoning and pattern-finding abilities. Some common types include:

• Letter Coding: Letters are replaced by other letters based on a pattern (e.g., shifting positions in the alphabet, reverse order, opposite letters).
• Number Coding: Letters or words are assigned numerical values based on patterns (e.g., alphabetical position, sum of alphabetical positions, specific code assignments like in this problem).
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: Words and codes are given in sentences, and you need to find the code for a specific word.

Solving these problems requires careful observation of the given patterns and applying them consistently to find the required code.