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In the question, two statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement 1: Some dancers are singers. Statement 2: All singers are actors. Conclusion I: Some actors are dancers. Conclusion II: All actors are singers. Conclusion III: Some singers are dancers.

In the question, two statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement 1: Some dancers are singers. Statement 2: All singers are actors. Conclusion I: Some actors are dancers. Conclusion II: All actors are singers. Conclusion III: Some singers are dancers. Correct Answer Only I and III follows

The least possible Venn diagram is: 

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Conclusion: 

I. Some actors are dancers → True (As some dancers are singers and all singers are actors. Thus, some actors are definitely dancers)

II. All actors are singers → False (As it is possible but not definite)

III. Some singers are dancers → True (As some dancers are singers. hence, some singers are definitely dancers)

Hence, Conclusion I and III follow.

Related Questions

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