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:
All eggs are oats.
All oats are buckets.
All buckets are plastics.
Conclusions:
(I) All buckets are eggs.
(II) Some plastics are oats.
(III) All plastics are buckets.
- AAll the conclusions I, II and III follow
- BEither conclusion I or conclusion III follows
- COnly conclusion I follows
- DOnly conclusion II follows
Solution & Step-by-step Explanation
Let's evaluate each conclusion using Venn diagrams or logical inclusion:
From the statements, we have a nested relationship:
Eggs⊆Oats⊆Buckets⊆Plastics
Conclusion (I): All buckets are eggs.
This is incorrect because Eggs are a subset of Buckets, not the other way around. Only "some buckets are eggs" is true.
Conclusion (II): Some plastics are oats.
Since all oats are buckets and all buckets are plastics, all oats are plastics. Thus, it follows definitely that some plastics are oats. This conclusion is valid.
Conclusion (III): All plastics are buckets.
This is incorrect because Buckets are a subset of Plastics, so we can only say "some plastics are buckets".
Therefore, only conclusion II follows.
From the statements, we have a nested relationship:
Eggs⊆Oats⊆Buckets⊆Plastics
Conclusion (I): All buckets are eggs.
This is incorrect because Eggs are a subset of Buckets, not the other way around. Only "some buckets are eggs" is true.
Conclusion (II): Some plastics are oats.
Since all oats are buckets and all buckets are plastics, all oats are plastics. Thus, it follows definitely that some plastics are oats. This conclusion is valid.
Conclusion (III): All plastics are buckets.
This is incorrect because Buckets are a subset of Plastics, so we can only say "some plastics are buckets".
Therefore, only conclusion II follows.