Introduction / Context:
This is a data sufficiency (DS) question from coding–decoding. You must decide whether Statement I, Statement II, either alone, both together, or neither provides enough information to identify how the word 'No' is coded. Do not solve for the entire code language; only determine sufficiency.
Given Data / Assumptions:
- Codes are one-to-one with words within each sentence.
- From the question: four coded sentences with meanings are provided, split as two in Statement I and two in Statement II.
- Goal: identify the exact code for 'No' and judge which statement(s) are sufficient.
Concept / Approach:
In coding–decoding DS, compare sentences that share several words. The common words across those sentences map to the common codes. The leftover code then maps to the leftover word. Check each statement independently first.
Step-by-Step Solution:
Statement I: 'Ne Pa Sic Lo' = 'But No None And' and 'Pa Lo Le Ne' = 'If None And But'.Common codes across these two are {Ne, Pa, Lo}. Common words are {But, None, And}. Therefore these three codes correspond to {But, None, And} in some order.The remaining code in the first sentence is 'Sic' and the remaining word is 'No'. Hence, 'No' = 'Sic'. Statement I alone is sufficient.Statement II: 'Le Se Ne Sic' = 'If No None Will' and 'Le Pi Se Be' = 'Not None If All'.Common codes are {Le, Se}; common words are {If, None}. Thus {Le, Se} map to {If, None} in some order. The other two codes in the first of these sentences are {Ne, Sic}, mapping to {No, Will}, but which is which cannot be decided using Statement II alone. Therefore Statement II alone is not sufficient.
Verification / Alternative check:
Why Other Options Are Wrong:
- II alone is sufficient: incorrect; ambiguity remains between 'No' and 'Will'.
- Either I or II is sufficient: incorrect because II is not sufficient.
- Neither I nor II is sufficient: incorrect; I is sufficient.
- Both I and II are sufficient: overly strong; I already suffices.
Common Pitfalls:
Assuming that shared codes must preserve order across sentences, or that you must decode every word. Only sufficiency about 'No' matters.
Final Answer:
I alone is sufficient while II alone is not sufficient
Discussion & Comments