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Data Sufficiency — Coding: Determine the code word for ‘‘sky’’ in a substitution language. Statement I: ‘‘sky is clear’’ is written as ‘‘de ra fa’’. Statement II: ‘‘make it clear’’ is written as ‘‘de ga jo’’. Decide which statements are sufficient to answer the question. Choose the correct sufficiency option.

Difficulty: Easy

Statement I alone is sufficient, but Statement II alone is not sufficient.
Statement II alone is sufficient, but Statement I alone is not sufficient.
Both statements I and II together are sufficient, but neither alone is sufficient.
Either statement I or statement II alone is sufficient.
Even both statements I and II together are not sufficient.

Correct Answer: Even both statements I and II together are not sufficient.

Explanation:

From the two statements
Common word = ‘‘clear’’ ⇒ common code = ‘‘de’’.Then in Statement I, {‘‘sky’’, ‘‘is’’} map to {‘‘ra’’, ‘‘fa’’} but we cannot distinguish which is which.

Conclusion
Even together, the code for ‘‘sky’’ is ambiguous between two codes.

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