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A statement is a formal account of certain facts, views, problems or situations expressed in words.Conclusion: A conclusion is a belief or an opinion that is the result of reasoning out a given statement. It can also be defined as a proposition in an argument to which other propositions in the argument given support.Statement: Only good singers are invited in the conference. No one without sweet voice is a good singer. Conclusions:I. All invited singers in the conference have sweet voice.II. Those singers who do not have sweet voice are not invited in the conference.OptionsIf only Conclusion I followsIf either I or II follows.If both I and II follow.If neither I nor II followsIf only Conclusion II follows.

Question

A statement is a formal account of certain facts, views, problems or situations expressed in words.Conclusion: A conclusion is a belief or an opinion that is the result of reasoning out a given statement. It can also be defined as a proposition in an argument to which other propositions in the argument given support.Statement: Only good singers are invited in the conference. No one without sweet voice is a good singer. Conclusions:I. All invited singers in the conference have sweet voice.II. Those singers who do not have sweet voice are not invited in the conference.OptionsIf only Conclusion I followsIf either I or II follows.If both I and II follow.If neither I nor II followsIf only Conclusion II follows.

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Solution

The correct answer is "If both I and II follow".

Here's the reasoning:

From the statement "Only good singers are invited in the conference", we can infer that all singers invited to the conference are good singers.

From the statement "No one without sweet voice is a good singer", we can infer that all good singers have a sweet voice.

Therefore, combining these two inferences, we can conclude that all invited singers in the conference have sweet voice. So, Conclusion I follows.

Similarly, from the statement "No one without sweet voice is a good singer", we can infer that singers who do not have a sweet voice are not good singers.

And from the statement "Only good singers are invited in the conference", we can infer that singers who are not good singers are not invited to the conference.

Therefore, combining these two inferences, we can conclude that those singers who do not have sweet voice are not invited in the conference. So, Conclusion II also follows.

This problem has been solved

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