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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 89 · 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 pens. No bags are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: Some bags are cups. Some books are cups. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All rings are cups. Some bells are cups. Conclusion: No rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No cups are bags. No pens are cups. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All rings are bells. Some books are rings. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No boxes are pens. Some boxes are bags. Conclusion: All bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All pens are cups. No bags are pens. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are shoes. All cups are coins. Conclusion: No coins are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some shoes are caps. Some shoes are kites. Conclusion: All kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All caps are rings. All boxes are caps. Conclusion: Some rings are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some toys are rings. No keys are rings. Conclusion: Some keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All boxes are toys. Some boxes are kites. Conclusion: Some kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All bells are coins. All pens are bells. Conclusion: No pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No boxes are pens. No keys are boxes. Conclusion: Some keys are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All balls are keys. All keys are caps. Conclusion: Some caps are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: Some keys are boxes. Some boxes are bags. Conclusion: All bags are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All kites are cups. All cups are shoes. Conclusion: All shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are balls. No bells are balls. Conclusion: No bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: Some caps are bags. All books are bags. Conclusion: Some books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All shoes are kites. All keys are shoes. Conclusion: All keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: No bells are cups. No books are bells. Conclusion: Some cups are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are boxes. All toys are boxes. Conclusion: Some toys are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All keys are bells. Some coins are keys. Conclusion: No coins are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some bags are kites. Some pens are kites. Conclusion: Some bags are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All pens are bags. No cups are bags. Conclusion: No cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All rings are boxes. All coins are rings. Conclusion: No coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All kites are rings. All rings are cups. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: All pens are toys. All toys are coins. Conclusion: All pens are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some cups are pens. No shoes are cups. Conclusion: No pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are books. All rings are cups. Conclusion: No books are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: No balls are keys. No caps are keys. Conclusion: All balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All kites are rings. Some kites are books. Conclusion: Some books are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No caps are books. All books are cups. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All shoes are bells. Some bells are pens. Conclusion: Some shoes are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All boxes are bells. No boxes are kites. Conclusion: All kites are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All coins are bags. Some toys are coins. Conclusion: Some bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: Some balls are boxes. No bags are balls. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some boxes are caps. No caps are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: No balls are cups. Some balls are caps. Conclusion: Some cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: All bells are toys. Some bells are balls. Conclusion: All toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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