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Statements:Some actors are singers.All the singers are dancers.Conclusion:Some actors are dancers.No singer is actor.

Question

Statements:Some actors are singers.All the singers are dancers.Conclusion:Some actors are dancers.No singer is actor.

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Solution

The given statements are:

  1. Some actors are singers.
  2. All the singers are dancers.

From these two statements, we can derive the following conclusions:

  1. Some actors are dancers: This conclusion is valid. Since some actors are singers and all singers are dancers, it logically follows that some actors must be dancers.

  2. No singer is an actor: This conclusion is not valid. The first statement clearly states that some actors are singers, which means that some singers are indeed actors.

So, the first conclusion is true while the second one is false based on the given statements.

This problem has been solved

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