This question is a classic example of a coding-decoding puzzle where words are assigned numerical codes based on a specific pattern. To solve this, we need to analyze the given sentences and their corresponding codes to find the code for each word.

Analyzing the Coded Sentences

We are given three coded statements:

• 'take this vaccine' is coded as '892'
• 'vaccine protects us' is coded as '263'
• 'take us safe' is coded as '593'

Let's compare these statements to find common words and their corresponding common codes.

Step-by-Step Decoding

Step 1: Compare 'take this vaccine' (892) and 'vaccine protects us' (263).

• The common word is 'vaccine'.
• The common code digit is '2'.
• Therefore, the code for 'vaccine' is 2.

Step 2: Compare 'vaccine protects us' (263) and 'take us safe' (593).

• The common word is 'us'.
• The common code digit is '3'.
• Therefore, the code for 'us' is 3.

Step 3: Compare 'take this vaccine' (892) and 'take us safe' (593).

• The common word is 'take'.
• The common code digit is '9'.
• Therefore, the code for 'take' is 9.

Determining Codes for Remaining Words

Now that we have decoded some words, we can find the codes for the others by elimination.

• From 'take this vaccine' (892), we know 'take' is 9 and 'vaccine' is 2. The remaining word is 'this' and the remaining code is 8. So, 'this' is 8.
• From 'vaccine protects us' (263), we know 'vaccine' is 2 and 'us' is 3. The remaining word is 'protects' and the remaining code is 6. So, 'protects' is 6.
• From 'take us safe' (593), we know 'take' is 9 and 'us' is 3. The remaining word is 'safe' and the remaining code is 5. So, 'safe' is 5.

Summary of Word Codes

Finding the Code for 'safe vaccine'

We need to find the code for 'safe vaccine'. We have found the individual codes:

• The code for 'safe' is 5.
• The code for 'vaccine' is 2.

Combining these two codes, 'safe vaccine' can be written as '52' or '25'. Looking at the options, '25' is available.

Conclusion on Safe Vaccine Code

Based on our decoding, the word 'safe' corresponds to the code 5 and the word 'vaccine' corresponds to the code 2. Therefore, 'safe vaccine' is written as 25.

Revision Table: Coding Decoding Summary

Through comparison, we deduced:

• vaccine $\rightarrow$ 2
• us $\rightarrow$ 3
• take $\rightarrow$ 9
• this $\rightarrow$ 8
• protects $\rightarrow$ 6
• safe $\rightarrow$ 5

So, safe vaccine $\rightarrow$ 5 and 2 $\rightarrow$ 25.

Additional Information on Coding Decoding

Coding-decoding questions are common in various competitive exams. They test your logical reasoning and pattern identification skills. There are different types of coding-decoding, including:

• Letter Coding: Letters are replaced by other letters based on a pattern (e.g., shifting alphabets, reverse order).
• Number Coding: Words are assigned numerical values based on letter positions, counts, or other rules.
• Symbol Coding: Symbols are used in place of letters or words.
• Mixed Coding (as in this question): Words from multiple sentences are coded, and you need to find the code for specific words or phrases by comparing the common elements.

To solve mixed coding questions, always start by identifying common words and their corresponding common codes across the given statements. This helps break down the puzzle.