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All of the bankers are B → A athletes.
None of the lawyers are L → ~B bankers.
Some bankers are present (they are also athletes).
Some athletes are present.
Some lawyers are present (they aren't bankers).
If the statements above are true, which one of the following statements must also be true?
All of the athletes are
This reverses the first premise.
2% picked this
Some of the lawyers are
We know that all the lawyers are not bankers, but that's it. We don't have any way to judge whether any of them are athletes or not. We weren't given any information about whether non-bankers are athletes, non-athletes, or both.
12% picked this
Some of the athletes are
Why this is right
All of the bankers are B → A athletes. None of the bankers B → ~L are lawyers (contrapositive). So, some of the athletes ∴ A ↢some↣ ~L are not lawyers. In less diagrammed form, say that Steve is at this party and he's a banker. In virtue of him being a banker, we know that he IS an athlete and ISN'T a lawyer. So since there are bankers at the party, there has to be at least one person who is both an athlete and a non-lawyer.
Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.
61% picked this
All of the bankers are
The second premise implies B → L that no bankers are lawyers, while this contradicts that premise.
1% picked this
None of the lawyers are
It can be inferred that A ↢some↣ ~L some athletes are not lawyers. It cannot be inferred A → ~L that no athletes are lawyers. Or the contrapositive. L → ~A
24% picked this
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