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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 143 · 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 caps are kites. All books are caps. Conclusion: All kites are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No pens are cups. No cups are bells. Conclusion: No pens are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No bags are coins. All caps are bags. Conclusion: No caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are bags. All balls are coins. Conclusion: Some bags are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: All boxes are bags. All shoes are bags. Conclusion: Some shoes are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No pens are boxes. No pens are bells. Conclusion: Some bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: No boxes are kites. Some cups are boxes. Conclusion: All kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: All caps are toys. All rings are toys. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some bags are keys. Some boxes are keys. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No boxes are toys. No pens are toys. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: No toys are boxes. No boxes are bags. Conclusion: All bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: No pens are caps. All caps are cups. Conclusion: Some cups are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: Some bags are boxes. All boxes are pens. Conclusion: Some pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: All rings are boxes. All boxes are bags. Conclusion: All bags are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some shoes are bags. Some rings are bags. Conclusion: No rings are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: All caps are books. All books are shoes. Conclusion: Some shoes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All balls are caps. Some cups are balls. Conclusion: No cups are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All rings are balls. No balls are cups. Conclusion: No rings are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No cups are caps. All cups are toys. Conclusion: Some caps are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All pens are balls. All pens are caps. Conclusion: Some balls are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All bells are rings. Some bells are pens. Conclusion: No rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some bags are caps. No boxes are caps. Conclusion: No boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: No kites are pens. No pens are caps. Conclusion: No kites are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All boxes are toys. All caps are toys. Conclusion: No boxes are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some caps are kites. All coins are kites. Conclusion: All coins are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some pens are coins. Some pens are rings. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: Some bags are shoes. All books are bags. Conclusion: All books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: No pens are rings. All books are pens. Conclusion: No rings are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: No boxes are toys. All toys are caps. Conclusion: No caps are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: No bags are shoes. Some coins are bags. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: All toys are kites. All cups are toys. Conclusion: No kites are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: Some boxes are rings. Some boxes are bells. Conclusion: All rings are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are balls. All shoes are books. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: Some bags are rings. Some bells are rings. Conclusion: Some bells are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: All kites are rings. No rings are toys. Conclusion: No kites are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No books are rings. All rings are balls. Conclusion: No balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: No bags are pens. All cups are pens. Conclusion: No cups are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All boxes are rings. No toys are boxes. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All caps are kites. Some caps are keys. Conclusion: No kites are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are kites. All kites are rings. Conclusion: No bells are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

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

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