Understanding Code Language Problems

Code language problems involve decoding a set of words based on the given coded patterns. We need to analyze the provided sentences and their corresponding codes to find the mapping between individual words and their codes. Once the codes for the required words are found, we can combine them to get the code for the target phrase.

Analyzing the Given Statements and Codes

We are given three statements in a certain code language:

• 'I belong to you' is written as # @ $\text{\textcopyright}$ *
• 'you belong to them' is written as $\text{\textcopyright}$ @ % *
• 'we belong them' is written as + % $\text{\textcopyright}$

We need to find the code for the phrase 'we to you'. This requires us to determine the individual codes for the words 'we', 'to', and 'you'.

Comparing Statements to Deduce Codes

Let's compare the statements to identify common words and their possible codes.

Comparing Statement 1 and Statement 2:

• Statement 1: 'I belong to you' (# @ $\text{\textcopyright}$ *)
• Statement 2: 'you belong to them' ($\text{\textcopyright}$ @ % *)

The common words are 'you', 'belong', and 'to'. The common codes are @, $\text{\textcopyright}$, and *. This means the codes for the set of words {you, belong, to} are {@, $\text{\textcopyright}$, *} in some order.

Comparing Statement 2 and Statement 3:

• Statement 2: 'you belong to them' ($\text{\textcopyright}$ @ % *)
• Statement 3: 'we belong them' (+ % $\text{\textcopyright}$)

The common words are 'belong' and 'them'. The common codes are % and $\text{\textcopyright}$. This means the codes for the set of words {belong, them} are {%, $\text{\textcopyright}$} in some order.

Identifying the Code for 'belong':

The word 'belong' is common to all three statements. Let's find the code that appears in all three corresponding code sets:

• Set 1: {#, @, $\text{\textcopyright}$, *}
• Set 2: {$\text{\textcopyright}$, @, %, *}
• Set 3: {+, %, $\text{\textcopyright}$}

The code $\text{\textcopyright}$ is present in all three sets. Therefore, the code for belong is $\text{\textcopyright}$.

Identifying the Code for 'them':

From the comparison of Statement 2 and Statement 3, {belong, them} maps to {%, $\text{\textcopyright}$}. Since we know 'belong' is $\text{\textcopyright}$, the other code, %, must be for 'them'. Therefore, the code for them is %.

Identifying the Code for 'we':

From Statement 3: 'we belong them' (+ % $\text{\textcopyright}$). We know 'belong' is $\text{\textcopyright}$ and 'them' is %. The only remaining word is 'we' and the only remaining code is +. Therefore, the code for we is +.

Identifying Codes for 'you' and 'to':

From the comparison of Statement 1 and Statement 2, {you, belong, to} maps to {@, $\text{\textcopyright}$, *}. We know 'belong' is $\text{\textcopyright}$. This leaves {you, to} mapping to {@, *}. So, the codes for 'you' and 'to' are @ and * in some order. We don't need to figure out which one is specifically 'you' and which is 'to' for this particular question, as both words are needed for the target phrase.

For completeness, we can also deduce the code for 'I'. From Statement 1: 'I belong to you' (# @ $\text{\textcopyright}$ *). We know 'belong' is $\text{\textcopyright}$ and {you, to} maps to {@, *}. The remaining word is 'I' and the remaining code is #. So, the code for I is #.

Determining the Code for 'we to you'

We need the code for the phrase 'we to you'. Based on our deductions:

• The code for 'we' is +.
• The codes for 'to' and 'you' are @ and * (in any order).

Therefore, the code for 'we to you' will be a combination of the codes +, *, and @.

Checking the Options

Let's look at the given options to find the one that contains the codes +, *, and @:

• Option 1: + @ $\text{\textcopyright}$ (Contains $\text{\textcopyright}$, which is 'belong') - Incorrect
• Option 2: % * @ (Contains %, which is 'them') - Incorrect
• Option 3: + * @ (Contains +, *, @) - Correct
• Option 4: % $\text{\textcopyright}$ * (Contains % and $\text{\textcopyright}$) - Incorrect

Option 3, '+ * @', contains exactly the codes +, *, and @, which correspond to the words 'we', 'to', and 'you'. The order may vary depending on the specific code language rules, but the set of codes must be correct.

Thus, the code for 'we to you' is + * @.