Data sufficiency – coded language word identification What word does the code element for 'come' represent? Statements: (I) 'pit na tac' means 'come and go'. (II) 'ja ta da' means 'you are good'. (III) 'na da rac' means 'you can come'.

Difficulty: Easy

Correct Answer: Only I and III

Explanation:

Introduction / Context:This is a standard coded language problem. We must find which statements are sufficient to identify the specific code token that stands for the English word 'come'.

Given Data / Assumptions:

  • I: 'pit na tac' ↔ {come, and, go}.
  • II: 'ja ta da' ↔ {you, are, good}.
  • III: 'na da rac' ↔ {you, can, come}.
  • Each codeword maps one-to-one to a word in its phrase.

Concept / Approach:Use set intersection on both the code tokens and the English words. The only common English word between statements I and III is 'come'. Therefore, the shared code token in I and III must represent 'come'.

Step-by-Step Solution:

Code tokens in I: {pit, na, tac}; words in I: {come, and, go}.Code tokens in III: {na, da, rac}; words in III: {you, can, come}.Common English word: 'come'. Common code token: 'na'.Thus, 'na' ↔ 'come' determined by I and III alone.

Verification / Alternative check:II involves completely different words; it neither conflicts with nor aids the identification of 'na' as 'come'. The mapping remains consistent across both sentences containing 'come'.

Why Other Options Are Wrong:

  • Only I and II / Only II and III: II provides no overlap with 'come' and cannot replace either I or III in the intersection logic.
  • All I, II and III: Sufficient but unnecessary; I + III already suffice.
  • None of these: Incorrect because 'Only I and III' works.

Common Pitfalls:Assuming the order of words matches the order of code tokens; in data sufficiency, we only need the identity, not the positions.

Final Answer:Only I and III

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