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 A are R. II. All R are C. Conclusions: I. All A are C. II. Some R are A. III. No C is R.
Option 1: All conclusion follows
Option 2: Both conclusions II and III follow
Option 3: Both conclusions I 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 analyze the conclusions – Conclusion (I): All A are C – From the Venn diagram, it is evident that the circle representing A is completely overlapped by the circle representing C. Thus, it can be concluded that all A are C. Conclusion (II): Some R are A – From the Venn diagram, it is evident that some parts of the circle representing R lie inside the circle representing A while some lie outside. Thus, it can be concluded that some R are A. Conclusion (III): No C is R – From the Venn diagram, it is evident that some parts of the circle representing C lie inside the circle representing R while some lie outside. Thus, this conclusion does not follow.
So, b oth 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 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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