Two Statements are given followed by Three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All blues are reds.

All greens are blues.

Conclusions:

I. No red is a blue.

II. No blue is a green.

III. No green is a red.

The correct answer is: None of the conclusions follow.

Step-by-Step Explanation:

Given Statements:
1. All blues are reds.
2. All greens are blues.

Combining these two statements, if all greens are blues and all blues are reds, then logically, all greens must also be reds (Greens ⊆ Blues ⊆ Reds).

Now, let us analyze each conclusion individually:

Conclusion I: "No red is a blue."
From Statement 1 ("All blues are reds"), we know that all blues are inside the category of reds. This means at least some reds are blues. Therefore, Conclusion I is false and does not follow.

Conclusion II: "No blue is a green."
From Statement 2 ("All greens are blues"), we know that all greens are contained within the category of blues. This means at least some blues are greens. Therefore, Conclusion II is false and does not follow.

Conclusion III: "No green is a red."
By combining Statements 1 and 2, we established that "All greens are reds". Therefore, saying "No green is a red" completely contradicts the given statements. Thus, Conclusion III is false and does not follow.

Final Decision:
Since none of Conclusions I, II, or III logically follow from the given statements, the correct option is None of the conclusions follow.