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Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts and decide which conclusion(s) logically follow(s) from the given statements. Statements: Some chocolates are pudding. All puddings are ice creams. Some ice creams are lollipops. Conclusions: (I) Some lollipops are chocolates. (II) Some ice creams are pudding.
Neither conclusion (I) nor (II) follows.
Only conclusion (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (I) follows.
Only conclusion (II) follows.
Analyze the scope of the groups: 'Some' implies partial overlap, 'All' implies containment. Draw the Venn circles: (Chocolate-Pudding intersection) inside the Ice Cream circle; Lollipops partially overlap Ice Cream.
Analyze the scope of the groups: 'Some' implies partial overlap, 'All' implies containment. Draw the Venn circles: (Chocolate-Pudding intersection) inside the Ice Cream circle; Lollipops partially overlap Ice Cream.
Mapping the Statements
1. 'Some chocolates are pudding' creates an intersection. 2. 'All puddings are ice creams' places the entire pudding circle inside the ice cream circle. 3. 'Some ice creams are lollipops' creates a partial overlap between the ice cream circle and the lollipop circle.
Evaluating Conclusions
Conclusion (I): 'Some lollipops are chocolates'. There is no definite connection between lollipops and chocolates in the diagram. Thus, it does not follow. Conclusion (II): 'Some ice creams are pudding'. Since 'All puddings are ice creams', it logically follows that the portion which is pudding is also ice cream.
A: (Neither follows) is wrong because Conclusion (II) is definitely true. C: (Both follow) is wrong because there is no link between lollipops and chocolates. D: (Only I follows) is wrong as Conclusion (I) is not supported by the premises.
B is correct because the statement 'All puddings are ice creams' guarantees that any pudding is also an ice cream, making Conclusion (II) logically valid.
In Syllogisms, always look for the 'All' relationship (Universal Affirmative). If A is part of B, then any 'Some' relationship involving A also applies to B.
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