Exercises for Venn Diagramming

Donald Nute, University of Georgia

1. Only dragons breathe fire, and all dragons fly. So all flying dragons breathe fire.
2. Some sea creatures are mammals, and some mammals have well-developed social structures. So some sea creatures have well-developed social structures.
3. All flying mammals eat insects. Some mammals do not eat insects. So some mammals do not fly.
4. Bats are flying mammals. The Red Baron is a flying mammal. So the Red Baron is a bat.
5. Penguins are found only in Antarctica. No cichlasomas are found in Antarctica. So penguins are not cichlasomas.
6. All professional athletes are overpaid. Bruce Jenner is an athlete, but he is not a professional. So he is not overpaid.
7. No genius is tidy. Some children are geniuses. So some children are not tidy.
8. Only hard-workers pass this course. Some of my students are hard workers. So some of my students will pass this course.
9. None but the beautiful may join the club. I am not beautiful. All the snobs are in the club. So I am not a snob.
10. Tom and Dick are both singers, but only Tom sings opera. Only opera singers sing at the Metropolitan, and even some opera singers don't sing at the Metropolitan. So Dick doesn't sing at the Metropolitan.
11. Some Russians are communists and some communists speak English. Do some Russians speak English?
12. Not all Arabs are Muslims. Arab Muslims do not eat pork. Do some Arabs eat pork?
13. Some birds fly and some don't. Birds that don't fly have small wings. Do all birds have small wings?
14. Doctors are rich and rich people are conservative. Fred is conservative. Is Fred a doctor?
15. Some conservative democrats are from Georgia. Sam Nunn is a conservative from Georgia. Is Sam Nunn a democrat?
16. Nunn and Kennedy are both democrats, but only Kennedy is a liberal. Only liberals support socialized medicine, and even some liberals don't support it. Does Nunn support socialized medicine?
17. None but the ambitious succeed. Mary is not ambitious. All logic students succeed. Is Mary is a logic student?
18. All logic students are intelligent. George is a student, but he does not study logic. Is George intelligent?
19. Some cats are pets and some pets have fleas. Do some cats have fleas?
20. Not all Americans are rich. Rich Americans do not drive Yugos. Do some Americans drive Yugos?
21. Some cars are reliable and some aren't. Unreliable cars have poor warranties. Do all cars have poor warranties?
22. Only movie stars drive Maseratis. Everyone who drives a Maserati is a snob. Joe isn't a snob. Is Joe a movie star?
23. Some Baptist preachers eat chicken. Reverend Sims is a preacher and he eats chicken. Is Reverend Sims a Baptist?
24. John and Mary are both philosophy students, but only Mary is taking logic. Only logic students understand Venn diagrams, and even some logic students don't understand them. Does John understand Venn diagrams?
25. Only women may join. Humphrey is not a woman. Everyone in the car-pool has joined. Is Humphrey in the car-pool?
26. All mutts chase cars. Odie is a dog but he is not a mutt. Does Odie chase cars?

27. All witches have magical powers. No humans have magical powers. Only humans are witches.

28. Not all middle-class whites are conservatives. And some conservatives are not white.
29. Some fish are live-bearers. No invertebrates are live-bearers.
30. Some Americans are rich and some Americans work at McDonald’s, but no rich Americans work at McDonald’s. Jane is rich and she works at McDonald’s.
31. All birds and some mammals have wings. No mammals are birds. Opus is has wings, but Opus is not a mammal.
32. Not all professors are underpaid and not all underpaid professors teach philosophy.

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Last modified: 9/22/2002