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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 291 · 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 keys are rings. Some keys are bells. Conclusion: Some rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are kites. Some cups are keys. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No keys are pens. No pens are bags. Conclusion: Some bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All bells are pens. No caps are pens. Conclusion: No bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are shoes. All shoes are keys. Conclusion: No keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All books are balls. All toys are books. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No keys are boxes. Some caps are boxes. Conclusion: All keys are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All pens are shoes. All shoes are books. Conclusion: Some books are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All toys are shoes. All toys are cups. Conclusion: Some cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are coins. Some cups are coins. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are caps. Some toys are cups. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All caps are cups. All caps are pens. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: No toys are pens. All pens are rings. Conclusion: All toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some kites are bells. No coins are kites. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No kites are coins. Some books are kites. Conclusion: Some books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No rings are keys. Some rings are toys. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: No bells are keys. All bells are rings. Conclusion: All rings are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: No cups are books. All bells are books. Conclusion: All bells are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some shoes are cups. All shoes are kites. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are boxes. Some shoes are bags. Conclusion: Some boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All toys are books. All rings are books. Conclusion: Some rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: No kites are caps. All caps are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some bells are coins. No bells are boxes. Conclusion: No boxes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some caps are kites. No kites are bags. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All caps are pens. No bags are caps. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some rings are books. All rings are kites. Conclusion: Some kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All boxes are bags. Some shoes are boxes. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some boxes are caps. All shoes are boxes. Conclusion: Some caps are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All toys are cups. Some boxes are toys. Conclusion: All cups are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No balls are kites. No balls are keys. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All rings are coins. All rings are cups. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All bells are rings. All bells are kites. Conclusion: Some kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All boxes are caps. All pens are caps. Conclusion: All boxes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some toys are bags. Some toys are cups. Conclusion: All cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All toys are shoes. Some toys are kites. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All kites are cups. Some cups are boxes. Conclusion: All kites are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No rings are boxes. Some boxes are bells. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some bags are books. No books are rings. Conclusion: Some rings are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All pens are bells. Some pens are coins. Conclusion: Some bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some shoes are kites. All shoes are books. Conclusion: Some books are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. Yes
  3. No
  4. Yes
  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. No
  22. No
  23. No
  24. No
  25. No
  26. Yes
  27. No
  28. No
  29. No
  30. No
  31. No
  32. Yes
  33. No
  34. No
  35. Yes
  36. No
  37. No
  38. No
  39. Yes
  40. Yes

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