In a certain code language, "how can you go" is written as "ja da ka pa", "can you come here" is written as "na ka sa ja" and "come and go" is written as "ra pa sa". In this code, how is the word "here" written?

Introduction / Context:
This problem is another example of code language decoding, where each English word is mapped to a unique code syllable. Three coded sentences are given, and the goal is to find the code for the specific word "here". The reasoning involves comparing sets of words across sentences, identifying common words and common codes, and then isolating the remaining unmatched word–code pair. This set-intersection method is very standard in competitive reasoning sections.

Given Data / Assumptions:

• "how can you go" → "ja da ka pa".
• "can you come here" → "na ka sa ja".
• "come and go" → "ra pa sa".
• Each English word corresponds to exactly one code, and vice versa.
• The mapping is consistent across all sentences.

Concept / Approach:
We solve these questions by comparing pairs of sentences. Common English words must correspond to common codes. First, we identify the codes for words like "go" and "come". Then we deduce codes for "can" and "you" and finally the code for "here" by elimination. The key idea is careful comparison and deduction, not guessing from frequency alone.

Step-by-Step Solution:
Step 1: Compare sentence 1 ("how can you go") with sentence 3 ("come and go"). Step 2: Common English word: "go". Step 3: Common code between "ja da ka pa" and "ra pa sa" is "pa". So "go" → "pa". Step 4: Now compare sentence 2 ("can you come here") with sentence 3 ("come and go"). Step 5: Common English word: "come". Step 6: Common code between "na ka sa ja" and "ra pa sa" is "sa". So "come" → "sa". Step 7: Now focus on sentence 1 and sentence 2. Words in common: "can" and "you". Codes in common: "ja" and "ka" (since "da" and "pa" are only in sentence 1, and "na" and "sa" are only in sentence 2 or 3). Step 8: Thus "can" and "you" correspond to "ja" and "ka" in some order, but we do not need to know which is which to find "here". Step 9: In sentence 2 ("can you come here" → "na ka sa ja"), we now know that "come" → "sa" and "can"/"you" → "ja"/"ka". Step 10: The only English word not yet mapped in sentence 2 is "here", and the only code not yet assigned from that sentence is "na". Step 11: Therefore "here" → "na".

Verification / Alternative check:
Using the mapping "go" → "pa", "come" → "sa", "here" → "na", and "can"/"you" → "ja"/"ka", you can reconstruct the three sentences and see that each code set matches correctly. No code is used for two different English words, and each English word occurring in multiple sentences is mapped consistently. This confirms that "na" is indeed the unique code for "here".

Why Other Options Are Wrong:
Option B ("ja") or Option C ("sa") are already part of the mapping for "can"/"you" and "come", so they cannot also represent "here" under a one-to-one mapping assumption. Option E ("pa") is fixed as the code for "go" from the first and third sentences. Option D ("None") is incorrect because there is a valid code for "here" present in the data. Only Option A matches the remaining unmapped code "na".

Common Pitfalls:
Students often stop after finding the codes for obvious common words like "go" and "come" and forget to push the logic further to solve for "here". Another common pitfall is assuming a word might share a code with another word, which breaks the one-to-one mapping assumption and leads to contradictions. Writing down all known mappings clearly and systematically crossing out used codes and words helps avoid confusion.

Final Answer:
Thus, in this code language, the word "here" is written as na.