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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 69 · 40 questions
TalentJR

How to think it through (Try to break it): Draw a circle for each word. “All A are B”: A inside B. “No A are B”: apart. “Some A are B”: overlapping. Try to draw the circles so the conclusion is false while every statement stays true. If you cannot, the conclusion follows (Yes). If you can, it does not definitely follow (No).

NameDateTime takenScore ___ / 40
  1. 1.Statements: Some bags are kites. No toys are kites. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some cups are rings. All rings are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All pens are shoes. Some pens are books. Conclusion: Some shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All cups are balls. No rings are balls. Conclusion: Some rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All cups are books. Some cups are bells. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some cups are bags. All bags are boxes. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All caps are keys. All caps are kites. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are toys. No kites are toys. Conclusion: No pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: No caps are keys. Some keys are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No bags are rings. No rings are balls. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All cups are kites. No kites are pens. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are shoes. No bags are shoes. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All balls are keys. All keys are coins. Conclusion: Some balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are keys. No toys are keys. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some books are keys. All books are shoes. Conclusion: All shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All kites are books. No books are toys. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All rings are caps. All bells are caps. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All coins are pens. All coins are toys. Conclusion: No pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All pens are cups. Some books are pens. Conclusion: Some books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All toys are rings. No cups are rings. Conclusion: No cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some pens are keys. No books are keys. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No balls are shoes. No pens are shoes. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All shoes are kites. All shoes are coins. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All pens are keys. No keys are caps. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No keys are bags. Some toys are bags. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some books are cups. All cups are coins. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some toys are cups. No toys are pens. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some keys are kites. All kites are bags. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some bags are caps. No caps are coins. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are shoes. All boxes are toys. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All balls are bags. All cups are bags. Conclusion: No balls are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are keys. Some keys are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No shoes are toys. All keys are shoes. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All toys are kites. All kites are cups. Conclusion: Some cups are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All bells are balls. Some bells are rings. Conclusion: No balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No toys are kites. All coins are kites. Conclusion: Some toys are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All shoes are cups. No shoes are caps. Conclusion: All cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No books are shoes. All balls are shoes. Conclusion: No books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No cups are caps. No caps are keys. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All shoes are pens. No pens are coins. Conclusion: No shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. Yes
  4. No
  5. No
  6. Yes
  7. No
  8. Yes
  9. No
  10. No
  11. Yes
  12. No
  13. Yes
  14. No
  15. No
  16. No
  17. No
  18. No
  19. Yes
  20. Yes
  21. No
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. Yes
  34. Yes
  35. No
  36. No
  37. No
  38. Yes
  39. No
  40. Yes

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