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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 337 · 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 kites are balls. No coins are balls. Conclusion: All coins are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bells are coins. All rings are bells. Conclusion: Some rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No books are toys. All shoes are toys. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: Some books are kites. No keys are books. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are shoes. No shoes are caps. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All shoes are keys. All shoes are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All balls are coins. No cups are coins. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All keys are cups. No kites are cups. Conclusion: No keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All kites are rings. All toys are kites. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: Some bells are pens. No bags are pens. Conclusion: No bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No pens are boxes. Some books are boxes. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some boxes are bags. Some bags are shoes. Conclusion: Some boxes are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No cups are rings. All cups are coins. Conclusion: Some coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are books. No toys are bags. Conclusion: Some toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No books are boxes. All boxes are caps. Conclusion: No caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All rings are toys. Some toys are bells. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some toys are keys. No bells are toys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All caps are toys. All bells are toys. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No toys are bags. All bags are kites. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All cups are coins. All cups are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No toys are bells. All rings are bells. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All bells are bags. All pens are bags. Conclusion: All bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are caps. All rings are books. Conclusion: No caps are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are coins. All bags are boxes. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All books are bells. Some books are keys. Conclusion: No bells are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All caps are toys. No toys are balls. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some shoes are boxes. All boxes are cups. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All shoes are keys. All shoes are books. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are kites. No bags are kites. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some coins are balls. Some caps are coins. Conclusion: No balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All cups are coins. All cups are bags. Conclusion: No coins are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are kites. No boxes are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All keys are coins. All kites are keys. Conclusion: All kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All bags are boxes. No boxes are shoes. Conclusion: All shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No boxes are rings. Some cups are rings. Conclusion: Some boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are coins. No rings are pens. Conclusion: No rings are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No cups are caps. No cups are coins. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are bags. All toys are bags. Conclusion: No toys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No bells are bags. Some bells are balls. Conclusion: No bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All pens are boxes. Some toys are pens. Conclusion: All boxes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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