Understanding Coding-Decoding Logic

This question is a type of coding-decoding puzzle where words or phrases are assigned numerical codes based on a specific pattern or mapping. We need to decipher the pattern from the given examples and apply it to find the code for a new phrase.

Analyzing the Given Information

We are given two coded statements:

• Statement 1: ‘Red fort is in Delhi’ is coded as 34225.
• Statement 2: ‘Delhi is very polluted’ is coded as 5248.

Identifying Common Elements

Let's look for words and codes that are common to both statements.

• Words in Statement 1: Red, fort, is, in, Delhi
• Codes in Statement 1: 3, 4, 2, 2, 5
• Words in Statement 2: Delhi, is, very, polluted
• Codes in Statement 2: 5, 2, 4, 8

Words common to both statements are ‘is’ and ‘Delhi’.

Codes common to both sets of codes are 5, 2, and 4.

It appears that the common words ‘is’ and ‘Delhi’ are coded by the common numbers 5, 2, and 4. We need to figure out which word corresponds to which number.

Deducing Word-Code Mapping

Let's examine the codes carefully. In Statement 1 (34225), the code ‘2’ is repeated, while the word ‘is’ appears once in the phrase ‘Red fort is in Delhi’. A common pattern is that a repeated code corresponds to a key word like ‘is’. Also, the code ‘2’ is common in both statements (34225 and 5248).

Let's assume ‘is’ is coded as 2.

Now consider ‘Delhi’. It is common to both statements. Among the remaining common codes (5 and 4), which one is for ‘Delhi’? Let's look at the positions, though position isn't always fixed in these puzzles. ‘Delhi’ is the last word in Statement 1 and corresponds to code 5 in 34225. ‘Delhi’ is the first word in Statement 2 and corresponds to code 5 in 5248. This strong positional consistency suggests ‘Delhi’ is coded as 5.

Based on these strong assumptions, let's verify and find other mappings:

• From Statement 2: ‘Delhi is very polluted’ is 5248. If ‘Delhi’=5 and ‘is’=2, then the remaining words ‘very’ and ‘polluted’ must correspond to the remaining codes 4 and 8. So, {very, polluted} = {4, 8}.
• From Statement 1: ‘Red fort is in Delhi’ is 34225. If ‘is’=2 and ‘Delhi’=5, and knowing that code 2 is repeated for ‘is’, the remaining words ‘Red’, ‘fort’, and ‘in’ must correspond to the remaining codes {3, 4, 2} (from 34225, removing one 2 and the 5, and considering the second 2). Since ‘is’=2, the other ‘2’ in the codes 34225 likely maps to another word. The word ‘in’ appears only in Statement 1, just like the repeated ‘2’. It is plausible that ‘in’ is coded as 2. This is a case where two different words (‘is’ and ‘in’) share the same code.
• With ‘is’=2, ‘in’=2, and ‘Delhi’=5, the remaining words ‘Red’ and ‘fort’ in Statement 1 must map to the remaining codes {3, 4} (from 34225, removing two 2s and one 5). So, {Red, fort} = {3, 4}.

Consolidated probable mapping:

Let's refine the {very, polluted} mapping using Statement 2. We know {very, polluted} = {4, 8}. Code 4 is also in the codes for Statement 1 ({3, 4, 2, 2, 5}). Code 8 is only in the codes for Statement 2. This suggests that code 8 maps to a word unique to Statement 2 (like ‘polluted’ or ‘very’). Since ‘polluted’ is a key word often used in such puzzles, let's assume ‘polluted’ is coded as 8. This leaves ‘very’ coded as 4.

Refined mapping:

Notice that code 4 maps to ‘very’ and potentially to ‘Red’ or ‘fort’. This is acceptable in coding puzzles where different words can share codes.

Finding the Code for ‘Pollution level is changing’

We need the code for ‘Pollution level is changing’. The words are ‘Pollution’, ‘level’, ‘is’, ‘changing’.

From our mapping, we know:

• ‘is’ = 2
• ‘polluted’ = 8. The word ‘Pollution’ is related to ‘polluted’. It is highly probable that ‘Pollution’ is coded as 8.

So, the code for ‘Pollution level is changing’ must contain 2 (for ‘is’) and 8 (for ‘Pollution’).

Let's check the given options:

1. 7859: Contains 8, but not 2.
2. 9528: Contains 2 and 8.
3. 5548: Contains 8, but not 2.
4. 1528: Contains 2 and 8.

Options 2 and 4 contain both 2 and 8. The remaining codes in these options must correspond to ‘level’ and ‘changing’.

• Option 2: 9528. Remaining codes for {level, changing} are {9, 5}.
• Option 4: 1528. Remaining codes for {level, changing} are {1, 5}.

We also know that ‘Delhi’ is coded as 5. Option 2 includes the code 5. This suggests that one of the words ‘level’ or ‘changing’ might be coded as 5, which is also the code for ‘Delhi’. While there is no direct logical connection between ‘level’ or ‘changing’ and ‘Delhi’, words sharing codes is a common feature in these puzzles.

If we assume Option 2 (9528) is the correct code:

• ‘Pollution’ = 8
• ‘is’ = 2
• {level, changing} = {9, 5}

This mapping is consistent with our deductions (is=2, polluted=8) and the fact that Delhi=5, implying one of the new words shares its code with Delhi.

Conclusion

Based on the analysis of common elements and the structure of the codes, we deduced the likely mappings for several words. Applying these mappings to the target phrase and examining the options, the code 9528 fits the pattern, assuming ‘Pollution’ is 8, ‘is’ is 2, and ‘level’ and ‘changing’ are coded as 9 and 5 (in any order), with ‘changing’ or ‘level’ sharing the code 5 with ‘Delhi’.

The code for ‘Pollution level is changing’ is 9528.

Revision Table: Coding Decoding Concepts

Additional Information: Solving Coding-Decoding Questions

Coding-decoding questions test your logical reasoning and pattern-finding abilities. Here are some tips to solve them:

• Look for Common Elements: Start by finding words or letters common to the given coded messages and identify their corresponding common codes. This is often the key to crack the code.
• Analyze Letter/Number Position: Check if the position of letters in words or numbers in codes gives any clue. Sometimes, the code is derived from the alphabetical position of letters.
• Check for Shifting: In letter coding, look for letter shifts (e.g., A becomes B, C becomes D, or A becomes C, B becomes D).
• Identify Patterns: The pattern could be adding/subtracting numbers, reversing the word/code, or a complex substitution.
• Assume Consistency: Unless indicated, assume the coding pattern is consistent throughout the given examples.
• Test Hypotheses: Once you think you've found a pattern or mapping, test it against all the given examples before applying it to the question you need to answer.
• Consider Multiple Mappings: Sometimes, different words or letters might share the same code, or one word might be coded using multiple numbers/letters.

Practice with different types of coding-decoding problems to become familiar with common patterns and techniques.