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57. The following two premises are true of Mrs. Johnson's class. Which of the options listed below is a valid conclusion from these premises?

Premise A: Some of the children in Mrs. Johnson's class who play sports also take music lessons.
Premise B: All of the children in Mrs. Johnson's class who play sports work on the weekends.

A. All of the children who take music lessons also work on the weekends.
B. Some of the children who take music lessons also work on the weekends.
C. None of the children who take music lessons also work on the weekends.
D. None of these statements are valid conclusions.



Answer :

Final answer:

The valid conclusion from the premises is that some children who take music lessons also work on the weekends.


Explanation:

The valid conclusion from the given premises is:

  1. B) Some of the children who take music lessons also work on the weekends.

This conclusion can be drawn from the fact that some children who play sports also take music lessons, and all children who play sports work on the weekends. Therefore, it is a valid inference that some children who take music lessons also work on the weekends.


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