Coding — How is 'go' written in the code language? Statements: I. 'go over there' → 'pa da na'. II. 'go and sit' → 'sa ka pa'.

Difficulty: Easy

Correct Answer: Both Statements I and II together are necessary to answer the question.

Explanation:


Introduction / Context:
We must isolate the unique code for 'go' using two coded sentences that both contain the word.


Given Data / Assumptions:

  • S1 tokens {pa, da, na} ↔ {go, over, there}.
  • S2 tokens {sa, ka, pa} ↔ {go, and, sit}.


Concept / Approach:
Intersection logic: common English word across sentences ('go') maps to the common token across their code sets.


Step-by-Step Solution:

Common English word = 'go'; common token = {pa}. Therefore, 'go' ↔ 'pa'.Neither statement alone can identify which token corresponds to 'go' without the cross-sentence intersection.


Verification / Alternative check:
Assign the remaining tokens bijectively to the other words; no conflicts occur.


Why Other Options Are Wrong:

  • A/B/C: Each single sentence admits multiple token-word assignments.
  • E: While the combination is sufficient, it is also necessary since neither alone suffices; we mark this as 'together necessary' (choice D).


Common Pitfalls:
Assuming positional order implies mapping; DS treats them as sets.


Final Answer:
D — Both statements together are necessary ('go' = 'pa').

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