All cats are dogs

Two Statements are given followed by two Conclusions:

Statements:

1. All cats are dogs.
2. 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?

1. Only Conclusion I
2. Only Conclusion II
3. Neither Conclusion I nor Conclusion II
4. Both Conclusion-I and Conclusion II

Answer: C

Explanation

Based on the two statements, you can have these scenarios:

Case I :

 

From this case it is clear that Conclusion I, "All dogs are black." is not always true.

Case II :

From this case it is clear that Conclusion II, "Some Dogs are not black." is not always true.

So, seeing cases I and II, you can say that none of the two conclusions logically follow from the given statements.

• Exam Year: 2020