Consider two Statements and four Conclusions given below. You have to take the Statements to be true even if they seem to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusions(s) logically follows/follow from the Statements, disregarding the commonly known facts.

Statement 1: Some greens are blues.

Statement 2: Some blues are blacks.

Conclusion-1: Some greens are blacks.

Conclusion-2: No green is black.

Conclusion-3: All greens are blacks.

Conclusion-4: All blacks are greens.

Which one of the following is correct?

The correct option is Neither Conclusion-1 nor 2 nor 3 nor 4.

Step-by-Step Analysis:

1. Understand the given Statements:
- Statement 1: "Some greens are blues." (This indicates a partial intersection between the set of greens and the set of blues.)
- Statement 2: "Some blues are blacks." (This indicates a partial intersection between the set of blues and the set of blacks.)

2. Evaluate the Relationship between 'Greens' and 'Blacks':
From the given statements, we know about the relation between greens and blues and between blues and blacks. However, no direct connection or definite relationship is given between greens and blacks.
Since there is no direct link established between 'greens' and 'blacks', any definite assertion (whether affirmative or negative) regarding greens and blacks cannot be derived with certainty.

3. Analyze each Conclusion:
- Conclusion-1: "Some greens are blacks." — Unsure/Not definite. (It might be true, but it does not strictly follow as a certainty.)
- Conclusion-2: "No green is black." — Unsure/Not definite. (It might be true, but it does not strictly follow as a certainty.)
- Conclusion-3: "All greens are blacks." — Unsure/Not definite.
- Conclusion-4: "All blacks are greens." — Unsure/Not definite.

None of the four conclusions logically follow independently from the given statements with 100% certainty.

Conclusion:
Therefore, none of the conclusions follow, making Neither Conclusion-1 nor 2 nor 3 nor 4 the correct choice.