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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 350 · 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: No toys are caps. No kites are toys. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All pens are caps. All pens are bells. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: Some keys are pens. Some keys are boxes. Conclusion: No boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some coins are bags. All pens are coins. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some caps are cups. All caps are rings. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No cups are boxes. No cups are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No bells are shoes. All coins are bells. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No books are coins. All bags are coins. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are toys. All bells are bags. Conclusion: Some bells are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All kites are toys. All toys are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All bells are bags. Some bells are coins. Conclusion: All bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All bags are toys. Some toys are bells. Conclusion: All bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some boxes are cups. Some shoes are boxes. Conclusion: All cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All caps are shoes. Some kites are shoes. Conclusion: Some caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some caps are bags. No caps are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are bags. All bags are balls. Conclusion: No pens are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are books. No boxes are books. Conclusion: All toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some pens are bags. All toys are pens. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some rings are bells. All caps are rings. Conclusion: All caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are books. All books are caps. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All balls are bags. Some toys are balls. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some keys are rings. Some keys are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are rings. Some rings are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No balls are pens. All shoes are pens. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All rings are pens. No cups are rings. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some boxes are balls. All shoes are balls. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are shoes. No balls are shoes. Conclusion: All balls are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No shoes are boxes. No rings are shoes. Conclusion: No rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No caps are coins. All kites are coins. Conclusion: No caps are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some bells are shoes. No bells are books. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All bags are cups. Some cups are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No kites are balls. No kites are rings. Conclusion: All balls are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: Some kites are toys. No toys are rings. Conclusion: All kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are books. All books are balls. Conclusion: All balls are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No caps are cups. All caps are bags. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All keys are caps. No caps are toys. Conclusion: No toys are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All kites are shoes. Some toys are kites. Conclusion: Some shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are boxes. No boxes are pens. Conclusion: No bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are coins. All books are boxes. Conclusion: All coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All toys are boxes. All boxes are books. Conclusion: No books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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