You are given a question and two coding style statements about colour names. Using the information, decide which statement(s) are sufficient to answer the question. Question: What is the colour of jasmine? Statements: I. Blue is called white, white is called red, and red is called yellow. II. Yellow is called purple, purple is called black, white is called brown, and brown is called orange.

Difficulty: Medium

Correct Answer: The data in either statement I alone or statement II alone are sufficient.

Explanation:


Introduction / Context:
This is a data sufficiency style question involving coded colour names. The common background knowledge is that jasmine flowers are naturally white in colour. The two statements describe how actual colours are renamed in a code language. Your task is to judge which statements provide enough information to determine the coded colour word for jasmine. Remember that in data sufficiency, you are not asked to solve in real life, but to determine whether the given data are enough to get a unique answer.


Given Data / Assumptions:

  • General knowledge: Jasmine flowers are naturally white.
  • Statement I: Blue is called white, white is called red, and red is called yellow.
  • Statement II: Yellow is called purple, purple is called black, white is called brown, and brown is called orange.
  • Question: What is the colour of jasmine (in the coded naming system)?


Concept / Approach:
We treat the statements as a renaming scheme or code language. Each statement tells us which word is used to refer to a particular real colour. Because jasmine is known to be white in real life, we only need to know how the real colour white is renamed. If a statement clearly tells us the coded name for white, then that statement alone is sufficient. We check each statement separately for this information and then decide about sufficiency.


Step-by-Step Solution:
Step 1: Start with the real world fact that jasmine is white. This fact is assumed to be known for the purpose of the question. Step 2: Use Statement I alone. It says:

  • Blue is called white.
  • White is called red.
  • Red is called yellow.
Here, the second part directly tells us that the actual colour white will be referred to as “red” in this code language. Step 3: Since jasmine is naturally white, under Statement I's naming scheme, jasmine will be called red. This uniquely answers the question using only Statement I. Hence, Statement I alone is sufficient. Step 4: Now use Statement II alone. It says:
  • Yellow is called purple.
  • Purple is called black.
  • White is called brown.
  • Brown is called orange.
Again, we see a direct mapping: the actual colour white is called “brown”.
Step 5: Because jasmine is white in real life, under Statement II's naming scheme, jasmine will be called brown. This is again a unique answer using only Statement II. Therefore, Statement II alone is also sufficient to answer the question.


Verification / Alternative check:
The crucial observation is that each statement independently gives us the code name for the real colour white. For data sufficiency, we do not need both statements together if one alone already tells us exactly how to name jasmine. While the two statements lead to different coded names for jasmine (red under Statement I, brown under Statement II), each is a complete and consistent scheme by itself. The question is framed so that you are evaluating sufficiency under each independent coding system, not combining them into a single system.


Why Other Options Are Wrong:
Option a: “The data in statement I alone are sufficient” is partially correct but incomplete, because Statement II alone is also sufficient. Option c: “Data in both statements I and II together are not sufficient” misunderstands the goal; each statement individually provides a clear mapping, so together they are certainly not insufficient. Option d: “The data in statement II alone are sufficient” has the same problem as option a; it ignores the sufficiency of Statement I. Option e: “The data in both statements I and II together are required” is incorrect because we do not need both; each alone is enough.


Common Pitfalls:
A common misunderstanding is to think that the coded names across the two statements must agree, and therefore both are needed. In typical data sufficiency questions of this style, each statement is considered as defining its own mapping. You are checking whether either statement, viewed independently, gives you enough information. Another pitfall is to miss the general knowledge that jasmine is white, which is essential to linking the coding rules back to the flower in question.


Final Answer:
The data in either statement I alone or statement II alone are sufficient.

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