Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some Birds are Insects.
Some Insects are Animals.
All Animals are Dangerous.
Conclusions:
I. Some Animals are Birds.
II. All Insects are Dangerous.
- ANeither conclusion I nor II follows.
- BOnly conclusion II follows.
- COnly conclusion I follows.
- DBoth conclusions I and II follow.
Solution & Step-by-step Explanation
Let's analyze the statements:
Some Birds are Insects → Intersection between Birds and Insects exists.
Some Insects are Animals → Intersection between Insects and Animals exists.
All Animals are Dangerous → Animals circle is entirely inside the Dangerous circle.
Now evaluate the conclusions:
Conclusion I: "Some Animals are Birds." No direct connection is established between Animals and Birds from the statements, so it does not definitely follow.
Conclusion II: "All Insects are Dangerous." Only those insects that are animals are definitely dangerous. We cannot say all insects are dangerous.
Thus, neither conclusion I nor II follows.
Some Birds are Insects → Intersection between Birds and Insects exists.
Some Insects are Animals → Intersection between Insects and Animals exists.
All Animals are Dangerous → Animals circle is entirely inside the Dangerous circle.
Now evaluate the conclusions:
Conclusion I: "Some Animals are Birds." No direct connection is established between Animals and Birds from the statements, so it does not definitely follow.
Conclusion II: "All Insects are Dangerous." Only those insects that are animals are definitely dangerous. We cannot say all insects are dangerous.
Thus, neither conclusion I nor II follows.