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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 221 · 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 books are bags. Some toys are books. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All bags are cups. Some bags are balls. Conclusion: Some cups are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No pens are shoes. Some rings are pens. Conclusion: All rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: All keys are bells. Some keys are books. Conclusion: Some books are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All pens are balls. No balls are cups. Conclusion: No pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: All boxes are pens. All boxes are bags. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: Some boxes are shoes. No kites are boxes. Conclusion: No shoes are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All coins are pens. No pens are keys. Conclusion: No coins are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All pens are keys. All pens are cups. Conclusion: Some cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All pens are cups. All cups are bells. Conclusion: All pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All books are rings. Some rings are shoes. Conclusion: All shoes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some keys are caps. All keys are bells. Conclusion: No caps are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All books are balls. All balls are bags. Conclusion: Some bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some bags are balls. All balls are books. Conclusion: No bags are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: No pens are bags. Some caps are bags. Conclusion: All pens are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No balls are keys. Some balls are cups. Conclusion: All cups are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All toys are cups. All bells are toys. Conclusion: No cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All toys are keys. All toys are pens. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No shoes are pens. All shoes are bells. Conclusion: Some bells are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: Some books are boxes. All boxes are keys. Conclusion: Some keys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All cups are caps. Some rings are caps. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All pens are cups. Some pens are bells. Conclusion: All cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All toys are shoes. Some shoes are bags. Conclusion: No toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: No cups are bells. Some rings are cups. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some cups are coins. All cups are kites. Conclusion: Some kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are kites. All cups are shoes. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No caps are rings. No bags are rings. Conclusion: No bags are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some toys are cups. All cups are books. Conclusion: Some books are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All shoes are keys. No bags are keys. Conclusion: All bags are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All rings are kites. All pens are rings. Conclusion: All pens are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some rings are balls. All cups are balls. Conclusion: All rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some rings are books. All rings are boxes. Conclusion: Some books are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All cups are bells. All rings are bells. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All cups are kites. No kites are shoes. Conclusion: No cups are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some keys are balls. Some bells are balls. Conclusion: No keys are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: Some books are kites. All books are bags. Conclusion: All bags are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All boxes are books. No books are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: Some kites are rings. All kites are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All books are balls. No caps are balls. Conclusion: No books are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some caps are cups. All caps are shoes. Conclusion: Some shoes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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