Data Sufficiency – Coding-decoding (identify the code for 'good') Question: In the coded sentence 'sin co bye' meaning 'He is good', which codeword stands for 'good'? Statements: I. In the same code, 'co mot det' means 'They are good'. II. In the same code, 'sin mic bye' means 'He is honest'.

Difficulty: Easy

Correct Answer: Either I or II is sufficient

Explanation:


Introduction / Context:
We are asked to find the unique codeword for 'good' given one reference sentence (from the question) and additional coded sentences as statements. As a DS item, we judge whether each statement alone is enough, given the base sentence 'sin co bye' = 'He is good'.



Given Data / Assumptions:

  • Base: 'sin co bye' → 'He is good'.
  • Statement I: 'co mot det' → 'They are good'.
  • Statement II: 'sin mic bye' → 'He is honest'.
  • Each codeword maps to exactly one word within the context.


Concept / Approach:
Use intersection logic. When two coded sentences share exactly one English word, the shared word corresponds to the shared code. Alternatively, when two sentences share multiple words, eliminate them and map the leftover code to the leftover word.



Step-by-Step Solution:

Using Statement I with the base sentence: common English word is 'good'. The common code between 'sin co bye' and 'co mot det' is 'co'. Hence 'good' = 'co'. I alone is sufficient.Using Statement II with the base sentence: common English words are 'He' and 'is'. The common codes between the two are 'sin' and 'bye'. Eliminate those, and the remaining word in the base is 'good' which must correspond to the remaining code 'co'. II alone is also sufficient.


Verification / Alternative check:
Both statements independently lead to the same mapping 'good' = 'co'. No conflict arises, confirming sufficiency for either.



Why Other Options Are Wrong:

  • I alone or II alone only: each is in fact sufficient, but saying only one works is too restrictive.
  • Neither: incorrect because each single statement works.
  • Both together: true but stronger than needed; DS requires the minimally sufficient choice.


Common Pitfalls:
Assuming order of words matters; it does not. Forgetting that the base sentence from the question itself is always available while assessing each statement.


Final Answer:
Either I or II is sufficient

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