Question : Directions: In the following question, below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements. Statements: I. All M is A. II. No A is R. Conclusions: I. No M is R. II. Some A is M. III. Some R is A.
Option 1: Both conclusions I and II follow
Option 2: Both conclusions II and III follow
Option 3: All conclusion follows
Option 4: None of the conclusions follow
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Correct Answer: Both conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions – Conclusion (I): No M is R – From the Venn diagram, it is evident that all M are A and no A is R. So, it can be concluded that no M is R. Conclusion (II): Some A is M – From the Venn diagram, it is evident that some parts of the circles representing A lie outside the circle representing M while some lie inside. So, it can be concluded that some A is M. Conclusion (III): Some R is A – From the Venn diagram, it is evident that there is a negative relation between R and A. So, this conclusion does not follow.
So, both conclusions I and II follow. Hence, the first option is correct.
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Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and
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