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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: All buds are flowers. All insects are flowers. Conclusions: (I) All buds are insects. (II) All flowers are buds.
Only conclusion (II) follows
Neither conclusion (I) nor (II) follows
Only conclusion (I) follows
Both conclusions (I) and (II) follow
Neither conclusion (I) nor (II) follows
Visualize Venn diagrams: Both 'buds' and 'insects' are subsets of 'flowers'. Since they are inside 'flowers', they do not necessarily overlap with each other, nor does 'flowers' overlap with 'buds' alone.
Visualize Venn diagrams: Both 'buds' and 'insects' are subsets of 'flowers'. Since they are inside 'flowers', they do not necessarily overlap with each other, nor does 'flowers' overlap with 'buds' alone.
Analyze Statements
Statement 1: 'All buds are flowers' implies Buds is a subset of Flowers. Statement 2: 'All insects are flowers' implies Insects is a subset of Flowers. Both are contained within the Flowers category.
Evaluate Conclusion I
'All buds are insects' is not necessarily true because the relationship between Buds and Insects is undefined; they could be disjoint sets within Flowers.
Evaluate Conclusion II
'All flowers are buds' is not necessarily true because Flowers is a larger category that contains Buds, not the other way around.
A: Incorrect, neither follows. C: Incorrect, only conclusion I does not follow. D: Incorrect, neither follows.
B is correct because both conclusions fail to logically derive from the provided statements, as there is no defined relationship between buds and insects, and flowers is the larger universal set.
In Syllogism, always remember that 'All A are B' does not mean 'All B are A'. Only the reverse 'Some B are A' is true.