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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 64 · 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: All pens are toys. No toys are balls. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No kites are shoes. No shoes are boxes. Conclusion: No kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All toys are cups. All caps are toys. Conclusion: No caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All boxes are rings. Some balls are rings. Conclusion: All boxes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All balls are bells. No books are balls. Conclusion: All books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All toys are books. Some books are rings. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some kites are pens. All kites are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some rings are shoes. Some rings are keys. Conclusion: No shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All boxes are toys. All toys are bags. Conclusion: All bags are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All toys are cups. Some shoes are toys. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are caps. All toys are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are caps. All balls are toys. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some rings are toys. All rings are shoes. Conclusion: No toys are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No cups are shoes. Some books are cups. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some coins are rings. All coins are bags. Conclusion: Some bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some pens are rings. No rings are coins. Conclusion: All coins are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are toys. All toys are boxes. Conclusion: Some kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are caps. No toys are caps. Conclusion: Some boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All kites are keys. Some keys are pens. Conclusion: Some pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are kites. All kites are boxes. Conclusion: All balls are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: Some rings are pens. Some bells are pens. Conclusion: Some bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bags are rings. All keys are rings. Conclusion: All keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No bags are shoes. All boxes are bags. Conclusion: No shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All rings are bells. All coins are rings. Conclusion: All coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: No balls are keys. All shoes are balls. Conclusion: Some shoes are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: No pens are bells. No balls are pens. Conclusion: No balls are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some toys are bells. All bells are bags. Conclusion: Some toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All bells are shoes. No shoes are boxes. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some kites are bags. All bags are books. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No shoes are kites. All shoes are rings. Conclusion: All rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All shoes are keys. All keys are rings. Conclusion: Some rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some kites are caps. Some toys are caps. Conclusion: All toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All coins are bags. Some coins are keys. Conclusion: Some keys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are keys. No bells are keys. Conclusion: Some bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All kites are cups. All cups are caps. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All caps are rings. All balls are caps. Conclusion: No rings are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some pens are books. All books are bags. Conclusion: No pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All bags are balls. All balls are toys. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All keys are bags. Some pens are bags. Conclusion: Some pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are kites. Some books are bells. Conclusion: No books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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