Decoding the Code Language for 'Country'

The problem provides us with several phrases coded into numbers. We need to find the numerical code that represents the word 'Country'. This type of question requires comparing different coded phrases to identify common words and their corresponding common numbers.

Analyzing the Given Codes

Here are the given relationships between phrases and their numerical codes:

• 'India is my country' $\rightarrow$ 8573
• 'Sam is my friend' $\rightarrow$ 8634
• 'My country' $\rightarrow$ 73
• 'Team India' $\rightarrow$ 59

Step-by-Step Decoding Process

Let's compare the phrases to find common words and their likely codes:

Step 1: Comparing 'India is my country' and 'My country'

• 'India is my country' $\rightarrow$ 8573
• 'My country' $\rightarrow$ 73

The words common to both phrases are 'My' and 'country'. The numbers common to both codes (8573 and 73) are 7 and 3. Therefore, the codes for 'My' and 'country' are 7 and 3, though we don't know which is which yet.

Step 2: Comparing 'India is my country' and 'Sam is my friend'

• 'India is my country' $\rightarrow$ 8573
• 'Sam is my friend' $\rightarrow$ 8634

The words common to both phrases are 'is' and 'my'. The numbers common to both codes (8573 and 8634) are 8 and 3. Therefore, the codes for 'is' and 'my' are 8 and 3.

Step 3: Identifying the Code for 'My'

From Step 1, 'My' and 'country' are coded as 7 and 3.

From Step 2, 'is' and 'my' are coded as 8 and 3.

The word 'my' is common to both pairs of comparisons. The number common to the code sets {7, 3} and {8, 3} is 3. This indicates that the code for 'My' is likely 3.

Step 4: Identifying the Code for 'Country'

From Step 1, we established that 'My' and 'country' are coded as 7 and 3. Since we've deduced that the code for 'My' is 3, the code for 'Country' must be the other number in the pair, which is 7.

Let's verify this with the phrase 'My country' $\rightarrow$ 73. If 'My' is 3 and 'Country' is 7, the code would be 37 or 73, depending on the order. The code given is 73, which aligns with 'Country' as 7 and 'My' as 3.

We can also find the codes for other words for completeness, though it's not required to answer the question:

• Since 'is' and 'my' are 8 and 3 (Step 2), and 'my' is 3, the code for 'is' must be 8.
• In 'India is my country' (8573): 'is' is 8, 'my' is 3, 'country' is 7. The remaining word is 'India' and the remaining number is 5. So, 'India' is 5.
• In 'Team India' (59): 'India' is 5. The remaining word is 'Team' and the remaining number is 9. So, 'Team' is 9.
• In 'Sam is my friend' (8634): 'is' is 8, 'my' is 3. The remaining words are 'Sam friend' and remaining numbers are 64. We cannot determine individual codes for 'Sam' and 'friend' from the given information.

Summary of Decoded Words

Based on our analysis, the code for 'Country' is 7.

Revision Table: Code Language Decoding

Reviewing the process helps solidify understanding of code language problems:

• Identify phrases and their numerical codes.
• Look for common words across different phrases.
• Find common numbers corresponding to those phrases.
• Deduse the code for the common word(s).
• Use the deduced codes to find the codes for other words in the phrases.

Additional Information: Coding-Decoding Logic

Coding-decoding questions test your ability to identify patterns and rules in a given set of coded messages. These problems often involve:

• Letter Coding: Letters are replaced with other letters based on a specific pattern (e.g., shifting letters in the alphabet).
• Number Coding: Words or letters are assigned numerical values based on position, sum of positions, or other rules.
• Symbol Coding: Letters or words are replaced by symbols.
• Mixed Coding: A mix of letter, number, or symbol coding.
• Phrase/Word Coding: As seen in this problem, entire words or phrases are assigned codes, and you must find the code for a specific word by comparison.

Solving these requires logical reasoning and systematic comparison of the given information.