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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 plants are rhinos. All plants are animals. Conclusion: (I) All rhinos are plants. (II) Some animals are rhinos.
Neither conclusion (I) nor (II) follows.
Both conclusions (I) and (II) follow.
Only conclusion (II) follows.
Only conclusion (I) follows.
Only conclusion (II) follows.
In syllogism, conversion of an 'All A are B' statement gives 'Some B are A'. Universal affirmative statements do not reverse directly to 'All B are A' unless specified. Always test each conclusion independently using standard Venn diagrams.
In syllogism, conversion of an 'All A are B' statement gives 'Some B are A'. Universal affirmative statements do not reverse directly to 'All B are A' unless specified. Always test each conclusion independently using standard Venn diagrams.
Analyze Statement 1
All plants are rhinos. This means the set of plants is entirely contained within the set of rhinos.
Analyze Statement 2
All plants are animals. This means the set of plants is entirely contained within the set of animals.
Evaluate Conclusion I
All rhinos are plants. Since all plants are rhinos, the reverse 'All rhinos are plants' does not necessarily follow as rhinos is the larger superset.
Evaluate Conclusion II
Some animals are rhinos. Although both plants are rhinos and animals, there is no definite intersection or given relation between animals and rhinos outside of plants.
A: Both conclusions do not follow, making Both conclusions follow incorrect. B: Both conclusions are invalid, so neither follows is correct. C: Conclusion II does not follow independently. D: Conclusion I does not follow independently.
B is correct because neither conclusion logically follows from the given statements based on set theory and syllogism rules.
In syllogism questions with multiple statements sharing a common subject ('All A are B', 'All A are C'), always check whether a direct relationship between B and C is established in the statements before evaluating conclusions.
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