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 Conclusion(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?

Correct Option: (d) Neither Conclusion 1 nor 2 nor 3 nor 4

Let us analyze the given statements using Syllogism: Statement-1: Some greens are blues. (I-type proposition: Green intersects Blue). Statement-2: Some blues are blacks. (I-type proposition: Blue intersects Black). Let us test the conclusions: Conclusion-1: Some greens are blacks. (Does Green necessarily intersect Black? Not necessarily, because Blue can intersect Green on one side and Black on another side without Green and Black overlapping). Conclusion-2: No green is black. (Not necessarily true, because Green and Black could overlap). Conclusion-3: All greens are blacks. (False, as we only know some greens are blues). Conclusion-4: All blacks are greens. (False). Since none of the conclusions necessarily follow from the given statements (as alternative Venn diagrams can show intersections without Green and Black meeting), none of the conclusions 1, 2, 3, or 4 logically follows. Therefore, option (d) 'Neither Conclusion 1 nor 2 nor 3 nor 4' is correct.