Decoding the Logic: Finding the Code for "Growth"

This problem involves a simple substitution cipher where words are replaced by numbers based on given coded phrases. We need to figure out the specific number that represents the word "Growth". We can do this by comparing the phrases and their corresponding number codes.

Analyzing the Given Statements

Here are the statements and their codes:

• 1. "Economy growth level down" is coded as " 77 42 11 36".
• 2. "Slow percentage rate range" is coded as " 55 91 23 82".
• 3. "Economy growth rate index range" is coded as " 77 64 91 11 82".
• 4. "Economy range level down" is coded as " 36 11 42 82".

Step-by-Step Code Identification

Let's compare the statements systematically:

Comparing Statements 1 and 4

Statement 1: "Economy growth level down" = "77 42 11 36"

Statement 4: "Economy range level down" = "36 11 42 82"

Common words between these two statements are "Economy", "level", and "down".

Common numbers between their codes ("77 42 11 36" and "36 11 42 82") are 11, 42, and 36.

Therefore, the words "Economy", "level", and "down" correspond to the numbers {11, 42, 36} in some order.

Comparing Statements 3 and 4

Statement 3: "Economy growth rate index range" = "77 64 91 11 82"

Statement 4: "Economy range level down" = "36 11 42 82"

Common words between these two statements are "Economy" and "range".

Common numbers between their codes ("77 64 91 11 82" and "36 11 42 82") are 11 and 82.

Therefore, the words "Economy" and "range" correspond to the numbers {11, 82} in some order.

Deducing the Code for "Economy"

From the first comparison, we know "Economy" is one of {11, 42, 36}.

From the second comparison, we know "Economy" is one of {11, 82}.

The only number common to both sets is 11.

Thus, the code for "Economy" is 11.

Finding the Code for "Growth"

Now let's use this information:

Statement 1: "Economy growth level down" = "77 42 11 36". Since "Economy" is 11, the remaining words "growth level down" correspond to {77, 42, 36}.

Statement 3: "Economy growth rate index range" = "77 64 91 11 82". Since "Economy" is 11, the remaining words "growth rate index range" correspond to {77, 64, 91, 82}.

We are looking for the code for "Growth". It appears in both the remaining sets:

• Set 1 (from statement 1): {77, 42, 36}
• Set 3 (from statement 3): {77, 64, 91, 82}

The common number between these two sets is 77.

Therefore, the code for "Growth" is 77.

Final Answer Explanation

By comparing the coded statements and identifying common words and numbers, we logically deduced that the code for "Growth" is 77.