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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 conclusion(s) logically follow(s) from the statements. Statements: All hens are juices. Some juices are nests. All pins are nests. Conclusions: (I): Some pins are hens. (II): Some pins are juices
Neither conclusion (I) nor (II) follows.
Only conclusion (II) follows.
Only conclusion (I) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
Identify the relationship: Since all pins are nests and some juices are nests, the circles for 'pins' and 'juices' only touch 'nests'. They do not necessarily overlap each other, making both conclusions logically invalid.
Identify the relationship: Since all pins are nests and some juices are nests, the circles for 'pins' and 'juices' only touch 'nests'. They do not necessarily overlap each other, making both conclusions logically invalid.
Mapping Statements
1. All hens are juices: The circle 'Hens' is entirely inside 'Juices'. 2. Some juices are nests: The circle 'Juices' intersects 'Nests'. 3. All pins are nests: The circle 'Pins' is entirely inside 'Nests'.
Evaluating Conclusions
Conclusion (I) 'Some pins are hens': No direct link exists between 'Pins' (inside 'Nests') and 'Hens' (inside 'Juices'). Conclusion (II) 'Some pins are juices': 'Pins' are only related to 'Nests'; there is no information indicating they overlap with 'Juices'.
B: Incorrect because 'Some pins are juices' is not definite, they only share a common superset 'nests'. C: Incorrect because 'Some pins are hens' is not supported by the premises. D: Incorrect because neither conclusion can be proven with certainty based on the given statements.
A is correct because there is no logical connection between 'pins' and 'hens' or 'pins' and 'juices' based on the given statements.
In Syllogism, if a connection is not explicitly stated or forced by the diagram in all possible variations, treat it as 'False' for definite conclusions.
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