Coding — What is the code for 'sure'? Statements: I. 'he is sure' → 'ja ha main'. II. 'is she sure' → 'ka ja main'.
Correct Answer: Both Statements I and II together are not sufficient.
Introduction / Context:Identify the unique codeword for 'sure' from two coded sentences.
Given Data / Assumptions:
- S1: 'he is sure' ↔ {ja, ha, main}.
- S2: 'is she sure' ↔ {ka, ja, main}.
Concept / Approach:Common English words across the sentences are {is, sure}. The common codes are {ja, main}. Without an additional sentence breaking the tie, we cannot tell which of {ja, main} maps to 'sure' and which to 'is'.
Step-by-Step Solution:
From S1 alone: three words, three codes — but mapping is not fixed.From S2 alone: same issue.Together: intersection yields two possible assignments: (sure→ja, is→main) or (sure→main, is→ja). Both satisfy the data.Verification / Alternative check:Try to use the unique words (he ↔ ha in S1; she ↔ ka in S2). These do not help distinguish between 'ja' and 'main' for 'sure'.
Why Other Options Are Wrong:
- I alone / II alone: insufficient because multiple bijections exist.
- Either alone sufficient / Both together sufficient: contradicted by two valid mappings.
Common Pitfalls:Assuming alphabetical or positional mapping; presuming 'main' must mean 'is' due to meaning (semantics are irrelevant in this puzzle).
Final Answer:Both Statements I and II together are not sufficient.