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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 114 · 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 toys are kites. No kites are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: No bags are boxes. No boxes are bells. Conclusion: No bags are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: All boxes are pens. All pens are bells. Conclusion: Some boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No coins are pens. All pens are caps. Conclusion: Some caps are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: Some pens are cups. No boxes are pens. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: Some rings are balls. All balls are toys. Conclusion: No toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All boxes are balls. Some balls are bells. Conclusion: No boxes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: Some cups are keys. All keys are caps. Conclusion: Some caps are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: All bags are pens. All bags are rings. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: All books are toys. No toys are coins. Conclusion: No books are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: All boxes are cups. No cups are rings. Conclusion: No boxes are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: All toys are pens. No keys are pens. Conclusion: All keys are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are bells. No books are shoes. Conclusion: Some bells are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: Some cups are pens. Some boxes are cups. Conclusion: All pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: Some bags are cups. All bags are bells. Conclusion: Some cups are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No pens are cups. All boxes are cups. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: All coins are boxes. Some coins are cups. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: Some toys are boxes. All bags are boxes. Conclusion: No bags are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: No coins are balls. All boxes are balls. Conclusion: Some coins are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All balls are shoes. No balls are coins. Conclusion: All shoes are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All books are balls. All books are shoes. Conclusion: Some balls are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: Some rings are keys. All keys are caps. Conclusion: Some rings are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: Some books are toys. Some balls are books. Conclusion: Some toys are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: All books are boxes. All boxes are caps. Conclusion: All caps are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: All bags are kites. All kites are coins. Conclusion: No bags are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: Some kites are balls. All shoes are kites. Conclusion: Some shoes are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: No bags are balls. Some cups are balls. Conclusion: All bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some boxes are coins. Some rings are boxes. Conclusion: No coins are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: All pens are caps. Some keys are caps. Conclusion: All pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: Some caps are kites. No caps are balls. Conclusion: No kites are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some caps are pens. Some caps are cups. Conclusion: Some pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: No rings are balls. Some books are rings. Conclusion: Some balls are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: No rings are caps. No toys are caps. Conclusion: Some toys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All boxes are pens. Some shoes are boxes. Conclusion: Some pens are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: No rings are bells. All rings are boxes. Conclusion: All bells are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: No rings are books. No rings are bags. Conclusion: No books are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All bells are coins. All coins are caps. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: No bags are books. All boxes are books. Conclusion: All boxes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: All kites are toys. Some kites are bags. Conclusion: All toys are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: Some books are coins. All books are cups. Conclusion: Some cups are coins. 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. Yes
  9. No
  10. Yes
  11. Yes
  12. No
  13. No
  14. No
  15. Yes
  16. Yes
  17. No
  18. No
  19. No
  20. No
  21. Yes
  22. Yes
  23. No
  24. No
  25. No
  26. No
  27. No
  28. No
  29. No
  30. No
  31. No
  32. No
  33. No
  34. Yes
  35. No
  36. No
  37. Yes
  38. No
  39. No
  40. Yes

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