Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All hens are eggs. All eggs are birds. Some eggs are lions. Conclusions: I. Some lions are eggs. II. Some eggs are hens. III. Some eggs are birds.
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All hens are eggs. All eggs are birds. Some eggs are lions. Conclusions: I. Some lions are eggs. II. Some eggs are hens. III. Some eggs are birds. Correct Answer All the conclusions follow.
The least possible Venn diagram is as follows:
Conclusions:
I. Some lions are eggs → True (as per diagram, some lions is eggs)
II. Some eggs are hens → True (as per diagram, some eggs are hens)
III. Some eggs are birds → True (as per diagram, some eggs are birds)
Hence, all the conclusions follow.
Important Points
Some is a subset of all.
If it is given that, 'All A are B' then the conclusion 'Some A are B' will always follow.