Question : Directions: In the following question some statements are given, 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 S is R. II.No R is T. Conclusions: I. No T is R. II. No S is T. III. No R is S.
Option 1: All conclusions follow
Option 2: Both conclusions I and III follow
Option 3: Both conclusions II and III follow
Option 4: Both conclusions I and II 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 T is R – From the Venn diagram, it is evident that there is a negative relation between R and T. So, from this, it can be concluded that no R is T. Thus, this conclusion follows. Conclusion (II): No S is T – From the Venn diagram, it is evident that all S is R and no R is T. So, from this, it can be concluded that no S is T. Thus, this conclusion follows. Conclusion (III): No R is S – From the Venn diagram, it is evident that some parts of the circle representing R lie outside the circle representing S while some lie inside. So, from this, it can be concluded that some R is S. Thus, this conclusion does not follow.
So, both conclusions I and II follow. Hence, the fourth 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
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
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