Question: What is the code for 'is' in the code language? Statements: In the…

Concept: When a statement maps a set of words to an equal-sized set of code words with no stated order between them, it cannot by itself reveal which code belongs to a particular word. If two such statements share exactly one word in their meanings and exactly one code word in their code strings, matching that shared word to that shared code pins down its code — and this match can only be made by comparing both statements together.

Application:

1. Statement I: 'shi tu ke' means 'pen is blue' — three code words for three words in no stated order, so alone it cannot show which of the three codes is 'is'.

2. Statement II: 'ke si re' means 'this is wonderful' — again three code words for three words in no stated order, so alone it cannot show which of the three codes is 'is'.

3. Comparing the two: 'is' is the only word common to both English meanings, and 'ke' is the only code word common to both code strings.

4. Since each code string carries the codes for exactly the words in its own meaning, the code that repeats across both statements must belong to the word that repeats across both meanings — so 'ke' codes 'is'.

Cross-check: Assign 'ke' to 'is' in Statement I: the remaining codes 'shi' and 'tu' cover 'pen' and 'blue'. Assign 'ke' to 'is' in Statement II: the remaining codes 'si' and 're' cover 'this' and 'wonderful'. Both assignments are internally consistent, confirming the deduction — and confirming it required both statements jointly.

Result: 'Both I and II are sufficient' holds: neither statement alone isolates the code for 'is', but together they do.