Data Sufficiency – Decoding a Three-Word Code Question: In a certain code, 'nop al ed' means 'They like flowers'. Which code stands for 'flowers'? Statements: I. 'id nim nop' means 'They are innocent'. II. 'gob ots al' means 'We like roses'.

Difficulty: Medium

Correct Answer: II alone is sufficient while I alone is not sufficient

Explanation:


Introduction / Context:
We must find the unique code token for the word 'flowers' from a three-word coded sentence. Data Sufficiency requires checking whether Statement I, Statement II, or both provide enough information without necessarily deriving all mappings.



Given Data / Assumptions:

  • Base: 'nop al ed' → 'They like flowers'.
  • I: 'id nim nop' → 'They are innocent'.
  • II: 'gob ots al' → 'We like roses'.
  • One-to-one mapping assumed.



Concept / Approach:
Use overlaps. If we can identify the code for 'like' or 'they', then, by elimination within the base triple, the remaining code must represent 'flowers'.



Step-by-Step Solution:
Base codes: {nop, al, ed} correspond to {They, like, flowers} in some order. From I, common word with base is 'They'. Common code is 'nop' (since 'nop' appears in I and in the base triple). Hence, 'They' → 'nop'. Now base remaining words {like, flowers} map to {al, ed} (order unknown so far). From II, common word with base is 'like'. The common code is 'al' (present in II and in the base triple). Therefore, 'like' → 'al'. Consequently, the only remaining code in the base for the remaining word is 'ed' → 'flowers'.



Verification / Alternative check:
I alone: Identifies 'They' → 'nop', but cannot distinguish between 'al' and 'ed' for 'flowers' vs 'like'. II alone: Directly identifies 'like' → 'al' using the base; then within the base triple, 'ed' must be 'flowers'.



Why Other Options Are Wrong:
'I alone sufficient': Not enough; ambiguity remains between 'al' and 'ed'. 'Either I or II': Incorrect because I alone fails. 'Both I and II': Overkill; II alone suffices. 'Neither': False; II works.



Common Pitfalls:
Not leveraging the base sentence as shared information when testing each statement alone.



Final Answer:
II alone is sufficient while I alone is not sufficient

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