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Some offers are judges. All offers are doors.Which one of the following conclusions is definitely true based on the statement?All doors are judgesNo doors are judgesSome doors are judgesSome doors are not judgesNo valid conclusion

Question

Some offers are judges. All offers are doors.Which one of the following conclusions is definitely true based on the statement?All doors are judgesNo doors are judgesSome doors are judgesSome doors are not judgesNo valid conclusion

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Solution

Based on the given statements, the conclusion that is definitely true is "Some doors are judges". Here's why:

  1. The first statement says "Some offers are judges." This means that there is at least one offer that is also a judge.

  2. The second statement says "All offers are doors." This means that every offer is also a door.

  3. Therefore, if some offers are judges and all offers are doors, then it must be true that some doors are judges. This is because the offers that are judges are also doors.

The other conclusions ("All doors are judges", "No doors are judges", "Some doors are not judges") cannot be definitively proven true based on the given statements.

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