Two statements are given followed by two Conclusions:

Statements:
All cats are dogs.
All cats are black.

Conclusion-I:
All dogs are black.

Conclusion-II:
Some dogs are not black.

Which of the above Conclusions logically follows /follow from the two given Statements, disregarding commonly known facts?

The correct option is Neither Conclusion-I nor Conclusion-II.

Step 1: Analyze the given statements
1. Statement 1: "All cats are dogs." This means the set of cats is completely contained within the set of dogs.
2. Statement 2: "All cats are black." This means the set of cats is completely contained within the set of black items.

Step 2: Evaluate Conclusion-I ("All dogs are black")
From the given statements, we know that all cats are dogs and all cats are black. However, this only tells us about the dogs that are cats. It does not provide any information about the dogs that are not cats. Therefore, we cannot logically conclude that all dogs are black. Thus, Conclusion-I does not follow.

Step 3: Evaluate Conclusion-II ("Some dogs are not black")
Similarly, while it is possible that some dogs are not black, the given statements do not provide definite proof or information to confirm that there are dogs outside the "black" category. Therefore, Conclusion-II does not definitely follow either.

Conclusion:
Since neither conclusion logically follows with certainty from the given statements, the correct choice is Neither Conclusion-I nor Conclusion-II.