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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 plums are lamps. Some lamps are ants. All ants are meats. Conclusions: (I): All meats are lamps. (II): Some meats are plums.
Only conclusion (II) follows.
Only conclusion (I) follows.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Neither conclusion (I) nor (II) follows.
When drawing the Venn diagram, ensure that 'Meats' and 'Plums' are not necessarily overlapping. Since there is no direct link defined between Plums and Meats, they are independent circles.
When drawing the Venn diagram, ensure that 'Meats' and 'Plums' are not necessarily overlapping. Since there is no direct link defined between Plums and Meats, they are independent circles.
Mapping Statements
1. All plums are lamps (Plums circle inside Lamps). 2. Some lamps are ants (Lamps and Ants overlap). 3. All ants are meats (Ants circle inside Meats).
Verifying Conclusion (I)
Conclusion (I) says 'All meats are lamps'. Based on our diagram, only a portion of meats (the ants) are lamps, not necessarily all meats. Thus, (I) is false.
Verifying Conclusion (II)
Conclusion (II) says 'Some meats are plums'. There is no stated or implied connection between the Plums circle and the Meats circle. Since they are independent in the diagram, (II) does not follow.
A: Only (II) is incorrect because no relation is established between meats and plums. B: Only (I) is incorrect because we cannot say all meats are lamps. D: Both are incorrect as shown in the steps.
C is correct because both conclusions fail to be definitely true based on the provided set relations.
In Syllogism questions, if a conclusion is not 100% true in every possible valid diagram configuration, it is considered False.