In the following logical reasoning question, two statements are given, each followed by two conclusions I and II. You have to consider the statements to be true even if they appear to differ from common facts. You must decide which of the conclusions, if any, logically follows from the given statements. Statements: (I) Some white is black. (II) No black is green. Conclusions: (I) Some white is green. (II) Some white is not green. Choose the option that correctly identifies the valid conclusion or conclusions.

Introduction / Context:
This problem is a classic example of categorical logic using the sets “white”, “black”, and “green”. You are given two statements and then two possible conclusions. The task is to check which conclusion is necessarily true if we accept the statements as absolutely correct, regardless of our real world understanding of colours.

Given Data / Assumptions:
We accept the following as true.

• Statement I: Some white is black.
• Statement II: No black is green.
• Conclusion I: Some white is green.
• Conclusion II: Some white is not green.
• “Some” means at least one element, possibly more.

Concept / Approach:
We use Venn diagram style reasoning. From “Some white is black” we know there is overlap between white objects and black objects. From “No black is green” we know the black region is completely separate from the green region. We then investigate what must be true about white and green.

Step-by-Step Solution:

Verification / Alternative check:
Imagine three circles: White, Black, and Green. Place at least one point in the overlap of White and Black. Because the Black circle does not touch the Green circle at all, that point can never be in Green. So there is at least one white point that is outside Green. However, you can still draw the Green circle away from White so that there is no overlap between them at all. In that picture, conclusion II remains true, but conclusion I becomes false. This proves that only conclusion II is logically forced.

Why Other Options Are Wrong:
Option A claims only conclusion I follows, which is incorrect because there is no compulsory overlap between white and green. Option C says either I or II follows, suggesting one of them must be true but not both; however, we know II must be true. Option D says both conclusions follow, which is incorrect because conclusion I may fail in a valid arrangement of the sets.

Common Pitfalls:
Students often guess that if some white is black and black is separated from green, then nothing can be said about white and green. In fact, one thing is certain: the white objects that are also black cannot be green, so they provide a definite example of white that is not green. Missing this subtle deduction is a common error.

Final Answer:
The correct logical conclusion is conclusion II only. Thus the right option is “Only conclusion II follows.”