Understanding the Coding Logic

This problem involves a simple substitution cipher where words are replaced by code words. We need to figure out the specific code word for 'here' by comparing the given phrases and their corresponding codes.

Analyzing the Given Codes

We are given three coded phrases:

• 'how can you go' is coded as 'ja da ka pa'
• 'can you come here' is coded as 'na ka sa ja'
• 'come and go' is coded as 'ra pa sa'

Stepwise Deduction to Find the Code for 'here'

1. Comparing Phrase 1 and Phrase 2:
   • 'how can you go' = 'ja da ka pa'
   • 'can you come here' = 'na ka sa ja'

   We look for common words and common codes between these two phrases. The common words are 'can' and 'you'. The common codes are 'ka' and 'ja'. This tells us that 'can' and 'you' are represented by either 'ka' or 'ja'.

2. Comparing Phrase 1 and Phrase 3:
   • 'how can you go' = 'ja da ka pa'
   • 'come and go' = 'ra pa sa'

   The common word here is 'go'. The common code is 'pa'. Therefore, we can definitively say that 'go' is coded as 'pa'.

3. Refining Codes based on 'go' = 'pa':

   Now, let's revisit Phrase 1 ('how can you go' = 'ja da ka pa'). Since 'go' is 'pa', the remaining codes ('ja', 'da', 'ka') must correspond to the remaining words ('how', 'can', 'you').

   From step 1, we know 'can' and 'you' are either 'ka' or 'ja'. This means the code 'da' must represent 'how'.

4. Analyzing Phrase 2 and Phrase 3 for 'come':
   • 'can you come here' = 'na ka sa ja'
   • 'come and go' = 'ra pa sa'

   In Phrase 3, we know 'go' = 'pa'. The remaining words are 'come' and 'and', and the remaining codes are 'ra' and 'sa'. So, 'come' and 'and' are coded as 'ra' or 'sa'.

   In Phrase 2, the words are 'can', 'you', 'come', 'here', and the codes are 'na', 'ka', 'sa', 'ja'. We know 'can' and 'you' are 'ka' and 'ja'. This leaves 'come' and 'here' to be coded by 'na' and 'sa'.

   By comparing the possibilities for 'come' from both analyses (it's either 'ra' or 'sa' from Phrase 3, and either 'na' or 'sa' from Phrase 2), we see that 'sa' is the common code. Therefore, 'come' is coded as 'sa'.

5. Final Determination for 'here':

   Let's look back at Phrase 2: 'can you come here' = 'na ka sa ja'.

   We established:

   • 'can' and 'you' are 'ka' and 'ja' (in some order).
   • 'come' is 'sa'.

   The only remaining word is 'here', and the only remaining code is 'na'.

   Therefore, 'here' is written as 'na' in this code language.